Вопрос задан 26.06.2026 в 23:42. Предмет Математика. Спрашивает Дмитриева Наташа.

Сколько будет, если с 1 умножить все числа до 200?

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Ответы на вопрос

Отвечает Куртев Игорь.

Если умножить 1 на все числа до 200, то есть вычислить произведение:

1 × 2 × 3 × … × 200,

то получится число, которое называется факториалом 200 и обозначается как 200!.

Это чрезвычайно большое число.

Что это за число

200! = 200 × 199 × 198 × … × 2 × 1

Оно не помещается ни в какие стандартные типы чисел в компьютерах и состоит из сотен цифр.

Пример масштаба

  • 200! имеет 375 цифр

  • Это число начинается примерно так:
    788657867364790503552363213932185062295135977687173263294742533244359449963403342920304284011984623904177212138919638830257642790242637105061926624952829931113462857270763317237396988943922445621451664240254033291864131227428294853277524242407573903240321257405579568660226031904170324659143997669103

  • И заканчивается на:
    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