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40412822123664 = 24322323127432
BaseRepresentation
bin10010011000001010101111…
…11010000011010010010000
312022002102120001120202022100
421030011113322003102100
520244110424430424124
6221541221051040400
711340505256150334
oct1114052772032220
9168072501522270
1040412822123664
1111970a8858a791
124648338440100
131971bb3498413
149d9dc35437c4
154a136c12d1c9
hex24c157e83490

40412822123664 has 405 divisors, whose sum is σ = 122332530920691. Its totient is φ = 12452811719040.

The previous prime is 40412822123657. The next prime is 40412822123689. The reversal of 40412822123664 is 46632122821404.

The square root of 40412822123664 is 6357108.

It is a perfect power (a square), and thus also a powerful number.

40412822123664 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 282 + 2 + 1 + 2 + 366 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54391415677 + ... + 54391416419.

Almost surely, 240412822123664 is an apocalyptic number.

40412822123664 is the 6357108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40412822123664

40412822123664 is an abundant number, since it is smaller than the sum of its proper divisors (81919708797027).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40412822123664 is an equidigital number, since it uses as much as digits as its factorization.

40412822123664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 40412822123664 in words is "forty trillion, four hundred twelve billion, eight hundred twenty-two million, one hundred twenty-three thousand, six hundred sixty-four".