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40502663032656 = 2431128467823621
BaseRepresentation
bin10010011010110010000101…
…10101111010111101010000
312022102000110020002210121010
421031121002311322331100
520302043423214021111
6222050355545330520
711350135514241606
oct1115310265727520
9168360406083533
1040502663032656
11119a60a041a400
12466182ba96a40
13197a5003578b6
14a004a726b876
154a3879531aa6
hex24d642d7af50

40502663032656 has 120 divisors (see below), whose sum is σ = 115022317635232. Its totient is φ = 12272069779200.

The previous prime is 40502663032627. The next prime is 40502663032697. The reversal of 40502663032656 is 65623036620504.

It is a happy number.

40502663032656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48764526 + ... + 49588146.

Almost surely, 240502663032656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40502663032656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57511158817616).

40502663032656 is an abundant number, since it is smaller than the sum of its proper divisors (74519654602576).

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

40502663032656 is a wasteful number, since it uses less digits than its factorization.

40502663032656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832121 (or 832104 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 40502663032656 in words is "forty trillion, five hundred two billion, six hundred sixty-three million, thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 8467 16934 25401 33868 50802 67736 93137 101604 135472 186274 203208 279411 372548 406416 558822 745096 823621 1024507 1117644 1490192 1647242 2049014 2235288 2470863 3073521 3294484 4098028 4470576 4941726 6147042 6588968 8196056 9059831 9883452 12294084 13177936 16392112 18119662 19766904 24588168 27179493 36239324 39533808 49176336 54358986 72478648 99658141 108717972 144957296 199316282 217435944 298974423 398632564 434871888 597948846 797265128 1195897692 1594530256 2391795384 4783590768 6973599007 13947198014 20920797021 27894396028 41841594042 55788792056 76709589077 83683188084 111577584112 153419178154 167366376168 230128767231 306838356308 334732752336 460257534462 613676712616 843805479847 920515068924 1227353425232 1687610959694 1841030137848 2531416439541 3375221919388 3682060275696 5062832879082 6750443838776 10125665758164 13500887677552 20251331516328 40502663032656