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40157945250 = 2353139938273
BaseRepresentation
bin100101011001100110…
…011001110110100010
310211122200020222122120
4211121212121312202
51124220413222000
630240500045110
72621102621403
oct453146316642
9124580228576
1040157945250
1116038127705
127948993796
133a2ca039a7
141d2d5639aa
1510a07d56a0
hex959999da2

40157945250 has 64 divisors (see below), whose sum is σ = 100308499200. Its totient is φ = 10700851200.

The previous prime is 40157945213. The next prime is 40157945263. The reversal of 40157945250 is 5254975104.

40157945250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×401579452503 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030114 + ... + 1068386.

It is an arithmetic number, because the mean of its divisors is an integer number (1567320300).

Almost surely, 240157945250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40157945250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50154249600).

40157945250 is an abundant number, since it is smaller than the sum of its proper divisors (60150553950).

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

40157945250 is a wasteful number, since it uses less digits than its factorization.

40157945250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39692 (or 39682 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 40157945250 in words is "forty billion, one hundred fifty-seven million, nine hundred forty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 1399 2798 4197 6995 8394 13990 20985 34975 38273 41970 69950 76546 104925 114819 174875 191365 209850 229638 349750 382730 524625 574095 956825 1049250 1148190 1913650 2870475 4784125 5740950 9568250 14352375 28704750 53543927 107087854 160631781 267719635 321263562 535439270 803158905 1338598175 1606317810 2677196350 4015794525 6692990875 8031589050 13385981750 20078972625 40157945250