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40182968362896 = 2432279048391409
BaseRepresentation
bin10010010001011110100111…
…00011100010011110010000
312021021110021011011212221200
421020233103203202132100
520231324204400103041
6221243444551151200
711315060262342042
oct1110572343423620
9167243234155850
1040182968362896
1111892557089227
12460b88a975500
131956312197358
149ccc1a603a92
1549a3b7d1a1b6
hex248bd38e2790

40182968362896 has 30 divisors (see below), whose sum is σ = 112456501738230. Its totient is φ = 13394322787584.

The previous prime is 40182968362883. The next prime is 40182968362903. The reversal of 40182968362896 is 69826386928104.

It is a happy number.

40182968362896 is a `hidden beast` number, since 4 + 0 + 182 + 9 + 6 + 8 + 362 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40123609862400 + 59358500496 = 6334320^2 + 243636^2 .

It is a super-2 number, since 2×401829683628962 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139524195561 + ... + 139524195848.

It is an arithmetic number, because the mean of its divisors is an integer number (3748550057941).

Almost surely, 240182968362896 is an apocalyptic number.

It is an amenable number.

40182968362896 is an abundant number, since it is smaller than the sum of its proper divisors (72273533375334).

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

40182968362896 is a wasteful number, since it uses less digits than its factorization.

40182968362896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279048391423 (or 279048391414 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 40182968362896 in words is "forty trillion, one hundred eighty-two billion, nine hundred sixty-eight million, three hundred sixty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 279048391409 558096782818 837145174227 1116193565636 1674290348454 2232387131272 2511435522681 3348580696908 4464774262544 5022871045362 6697161393816 10045742090724 13394322787632 20091484181448 40182968362896