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40013024421132 = 223271438791103579
BaseRepresentation
bin10010001100100010000100…
…00110110110010100001100
312020200012121110200011021100
421012101002012312110030
520221033133222434012
6221033421334503100
711266563021563010
oct1106210206662414
9166605543604240
1040013024421132
111182747916a484
1245a2960b04a90
13194329aa3a029
149c48d81a0540
15495c6d3948dc
hex2464421b650c

40013024421132 has 72 divisors (see below), whose sum is σ = 115594089811200. Its totient is φ = 11432202874848.

The previous prime is 40013024421121. The next prime is 40013024421151. The reversal of 40013024421132 is 23112442031004.

40013024421132 is a `hidden beast` number, since 400 + 1 + 3 + 0 + 2 + 44 + 211 + 3 + 2 = 666.

It is a super-2 number, since 2×400130244211322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40013024421096 and 40013024421105.

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 23 ways as a sum of consecutive naturals, for example, 35705719 + ... + 36809297.

It is an arithmetic number, because the mean of its divisors is an integer number (1605473469600).

Almost surely, 240013024421132 is an apocalyptic number.

40013024421132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40013024421132 is an abundant number, since it is smaller than the sum of its proper divisors (75581065390068).

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

40013024421132 is a wasteful number, since it uses less digits than its factorization.

40013024421132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247475 (or 1247470 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40013024421132 its reverse (23112442031004), we get a palindrome (63125466452136).

The spelling of 40013024421132 in words is "forty trillion, thirteen billion, twenty-four million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 143879 287758 431637 575516 863274 1007153 1103579 1294911 1726548 2014306 2207158 2589822 3021459 3310737 4028612 4414316 5179644 6042918 6621474 7725053 9064377 9932211 12085836 13242948 15450106 18128754 19864422 23175159 30900212 36257508 39728844 46350318 69525477 92700636 139050954 278101908 158781842941 317563685882 476345528823 635127371764 952691057646 1111472900587 1429036586469 1905382115292 2222945801174 2858073172938 3334418701761 4445891602348 5716146345876 6668837403522 10003256105283 13337674807044 20006512210566 40013024421132