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40456635030252 = 223271291712428753
BaseRepresentation
bin10010011001011100010110…
…10111000001101011101100
312022020121122110022000100100
421030232023113001223230
520300320142031432002
6222013304353431100
711343616062544020
oct1114561327015354
9168217573260310
1040456635030252
11119886208549a1
12465492526b490
13197607648390c
149dc17c282380
154a258373011c
hex24cb8b5c1aec

40456635030252 has 72 divisors (see below), whose sum is σ = 116883780957216. Its totient is φ = 11558142779904.

The previous prime is 40456635030223. The next prime is 40456635030271. The reversal of 40456635030252 is 25203053665404.

40456635030252 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 6 + 635 + 0 + 3 + 0 + 2 + 5 + 2 = 666.

40456635030252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40456635030198 and 40456635030207.

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, 2959293 + ... + 9469460.

It is an arithmetic number, because the mean of its divisors is an integer number (1623385846628).

Almost surely, 240456635030252 is an apocalyptic number.

40456635030252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40456635030252 is an abundant number, since it is smaller than the sum of its proper divisors (76427145926964).

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

40456635030252 is a wasteful number, since it uses less digits than its factorization.

40456635030252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12441687 (or 12441682 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 40456635030252 its reverse (25203053665404), we get a palindrome (65659688695656).

The spelling of 40456635030252 in words is "forty trillion, four hundred fifty-six billion, six hundred thirty-five million, thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 12917 25834 38751 51668 77502 90419 116253 155004 180838 232506 271257 361676 465012 542514 813771 1085028 1627542 3255084 12428753 24857506 37286259 49715012 74572518 87001271 111858777 149145036 174002542 223717554 261003813 348005084 447435108 522007626 783011439 1044015252 1566022878 3132045756 160542202501 321084405002 481626607503 642168810004 963253215006 1123795417507 1444879822509 1926506430012 2247590835014 2889759645018 3371386252521 4495181670028 5779519290036 6742772505042 10114158757563 13485545010084 20228317515126 40456635030252