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40402033405056 = 273269150754283
BaseRepresentation
bin10010010111110110101001…
…10110010110110010000000
312022001101201011201001122200
421023323110312112302000
520243421331022430211
6221532234331233200
711336644023436251
oct1113732466266200
9168041634631580
1040402033405056
111196745163a814
1246462272a8800
131970b84277c5b
149d967c750b28
154a0e39dc5b56
hex24bed4d96c80

40402033405056 has 96 divisors (see below), whose sum is σ = 116429312410320. Its totient is φ = 13447854558720.

The previous prime is 40402033405007. The next prime is 40402033405057. The reversal of 40402033405056 is 65050433020404.

40402033405056 is a `hidden beast` number, since 4 + 0 + 40 + 203 + 3 + 405 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40402033405056.

It is not an unprimeable number, because it can be changed into a prime (40402033405057) 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, 24581110 + ... + 26173173.

Almost surely, 240402033405056 is an apocalyptic number.

It is an amenable number.

40402033405056 is an abundant number, since it is smaller than the sum of its proper divisors (76027279005264).

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

40402033405056 is a wasteful number, since it uses less digits than its factorization.

40402033405056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50754994 (or 50754979 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 40402033405056 in words is "forty trillion, four hundred two billion, thirty-three million, four hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 691 1152 1382 2073 2764 4146 5528 6219 8292 11056 12438 16584 22112 24876 33168 44224 49752 66336 88448 99504 132672 199008 265344 398016 796032 50754283 101508566 152262849 203017132 304525698 406034264 456788547 609051396 812068528 913577094 1218102792 1624137056 1827154188 2436205584 3248274112 3654308376 4872411168 6496548224 7308616752 9744822336 14617233504 19489644672 29234467008 35071209553 58468934016 70142419106 105213628659 140284838212 210427257318 280569676424 315640885977 420854514636 561139352848 631281771954 841709029272 1122278705696 1262563543908 1683418058544 2244557411392 2525127087816 3366836117088 4489114822784 5050254175632 6733672234176 10100508351264 13467344468352 20201016702528 40402033405056