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40138000451352 = 23321316342351457
BaseRepresentation
bin10010010000001010110110…
…10000100100011100011000
312021010011012021010021222100
421020011123100210130120
520230110111103420402
6221211050504523400
711311606032401106
oct1110053320443430
9167104167107870
1040138000451352
111187548094a771
12460301b180560
131951cc6b0c97b
149ca992328c76
1549913511971c
hex24815b424718

40138000451352 has 48 divisors (see below), whose sum is σ = 108715345656840. Its totient is φ = 13378316732928.

The previous prime is 40138000451299. The next prime is 40138000451429. The reversal of 40138000451352 is 25315400083104.

40138000451352 is a `hidden beast` number, since 4 + 0 + 13 + 80 + 0 + 0 + 4 + 513 + 52 = 666.

It is a super-2 number, since 2×401380004513522 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20227993 + ... + 22123464.

Almost surely, 240138000451352 is an apocalyptic number.

It is an amenable number.

40138000451352 is an abundant number, since it is smaller than the sum of its proper divisors (68577345205488).

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

40138000451352 is a wasteful number, since it uses less digits than its factorization.

40138000451352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42364632 (or 42364625 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40138000451352 in words is "forty trillion, one hundred thirty-eight billion, four hundred fifty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13163 26326 39489 52652 78978 105304 118467 157956 236934 315912 473868 947736 42351457 84702914 127054371 169405828 254108742 338811656 381163113 508217484 762326226 1016434968 1524652452 3049304904 557472228491 1114944456982 1672416685473 2229888913964 3344833370946 4459777827928 5017250056419 6689666741892 10034500112838 13379333483784 20069000225676 40138000451352