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40125475512 = 2332839769221
BaseRepresentation
bin100101010111101010…
…100010101010111000
310211120102011100112200
4211113222202222320
51124134110204022
630233340110200
72620226625423
oct452752425270
9124512140480
1040125475512
111602086a711
127939b35360
133a26075825
141d291109ba
15109ca1ebac
hex957aa2ab8

40125475512 has 96 divisors (see below), whose sum is σ = 111117923280. Its totient is φ = 13077596160.

The previous prime is 40125475477. The next prime is 40125475519. The reversal of 40125475512 is 21557452104.

40125475512 is a `hidden beast` number, since 40 + 1 + 25 + 47 + 551 + 2 = 666.

40125475512 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-2 number, since 2×401254755122 (a number of 22 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 not an unprimeable number, because it can be changed into a prime (40125475519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545062 + ... + 614282.

Almost surely, 240125475512 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 40125475512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55558961640).

40125475512 is an abundant number, since it is smaller than the sum of its proper divisors (70992447768).

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

40125475512 is a wasteful number, since it uses less digits than its factorization.

40125475512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69413 (or 69406 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 40125475512 in words is "forty billion, one hundred twenty-five million, four hundred seventy-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 97 166 194 249 291 332 388 498 582 664 747 776 873 996 1164 1494 1746 1992 2328 2988 3492 5976 6984 8051 16102 24153 32204 48306 64408 69221 72459 96612 138442 144918 193224 207663 276884 289836 415326 553768 579672 622989 830652 1245978 1661304 2491956 4983912 5745343 6714437 11490686 13428874 17236029 20143311 22981372 26857748 34472058 40286622 45962744 51708087 53715496 60429933 68944116 80573244 103416174 120859866 137888232 161146488 206832348 241719732 413664696 483439464 557298271 1114596542 1671894813 2229193084 3343789626 4458386168 5015684439 6687579252 10031368878 13375158504 20062737756 40125475512