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40108410831645 = 32513731795246911
BaseRepresentation
bin10010001111010011101111…
…00101001000001100011101
312021000022211010000212112100
421013221313211020030131
520224114011133103040
6221145314412355313
711306510544646212
oct1107516745101435
9167008733025470
1040108410831645
1111863977321502
1245b9341775b39
13194c28c781b60
149c93865c7b09
154984a2554b30
hex247a7794831d

40108410831645 has 96 divisors (see below), whose sum is σ = 76318643681280. Its totient is φ = 19366386785280.

The previous prime is 40108410831569. The next prime is 40108410831649. The reversal of 40108410831645 is 54613801480104.

40108410831645 is a `hidden beast` number, since 4 + 0 + 108 + 410 + 83 + 16 + 45 = 666.

40108410831645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40108410831645 - 29 = 40108410831133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40108410831645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40108410831649) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5020740 + ... + 10267650.

It is an arithmetic number, because the mean of its divisors is an integer number (794985871680).

Almost surely, 240108410831645 is an apocalyptic number.

40108410831645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40108410831645 is a deficient number, since it is larger than the sum of its proper divisors (36210232849635).

40108410831645 is a wasteful number, since it uses less digits than its factorization.

40108410831645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247187 (or 5247184 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 40108410831645 in words is "forty trillion, one hundred eight billion, four hundred ten million, eight hundred thirty-one thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 73 117 179 195 219 365 537 585 657 895 949 1095 1611 2327 2685 2847 3285 4745 6981 8055 8541 11635 13067 14235 20943 34905 39201 42705 65335 104715 117603 169871 196005 509613 588015 849355 1528839 2548065 5246911 7644195 15740733 26234555 47222199 68209843 78703665 204629529 236110995 341049215 383024503 613888587 939197069 1023147645 1149073509 1915122515 2817591207 3069442935 3447220527 4695985345 4979318539 5745367545 8452773621 12209561897 14087956035 14937955617 17236102635 24896592695 36628685691 42263868105 44813866851 61047809485 68561386037 74689778085 109886057073 183143428455 205684158111 224069334255 342806930185 549430285365 617052474333 891298018481 1028420790555 2673894055443 3085262371665 4456490092405 8021682166329 13369470277215 40108410831645