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40161342320388 = 22323009733706621
BaseRepresentation
bin10010010000110110010101…
…00010101110111100000100
312021012101102222222002201100
421020123022202232330010
520231000412113223023
6221225511014100100
711313363334121322
oct1110331242567404
9167171388862640
1040161342320388
1111884369810423
12460765434a630
1319542769690b3
149cbb683a8d12
15499a4e458c43
hex2486ca8aef04

40161342320388 has 36 divisors (see below), whose sum is σ = 101519313334348. Its totient is φ = 13387066015680.

The previous prime is 40161342320387. The next prime is 40161342320399. The reversal of 40161342320388 is 88302324316104.

40161342320388 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 1 + 34 + 232 + 0 + 388 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33535773656064 + 6625568664324 = 5791008^2 + 2574018^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×401613423203882 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40161342320387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8981718 + ... + 12688338.

Almost surely, 240161342320388 is an apocalyptic number.

It is an amenable number.

40161342320388 is an abundant number, since it is smaller than the sum of its proper divisors (61357971013960).

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

40161342320388 is a wasteful number, since it uses less digits than its factorization.

40161342320388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007604 (or 4007599 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 40161342320388 in words is "forty trillion, one hundred sixty-one billion, three hundred forty-two million, three hundred twenty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 300973 601946 902919 1203892 1805838 2708757 3611676 3706621 5417514 7413242 10835028 11119863 14826484 22239726 33359589 44479452 66719178 133438356 1115592842233 2231185684466 3346778526699 4462371368932 6693557053398 10040335580097 13387114106796 20080671160194 40161342320388