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31214400044112 = 2432829726125909
BaseRepresentation
bin1110001100011101010110…
…01110011111110001010000
311002112001211012121220101200
413012032223032133301100
513042404042402402422
6150215410350431200
76401110634425155
oct706165316376120
9132461735556350
1031214400044112
119a44a5308144a
123601687502500
1314556751914cc
1479cadc16422c
15391e58cb92ac
hex1c63ab39fc50

31214400044112 has 60 divisors (see below), whose sum is σ = 87367498875540. Its totient is φ = 10403545572864.

The previous prime is 31214400044101. The next prime is 31214400044129. The reversal of 31214400044112 is 21144000441213.

31214400044112 is a `hidden beast` number, since 3 + 1 + 214 + 4 + 0 + 0 + 0 + 441 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15458390704656 + 15756009339456 = 3931716^2 + 3969384^2 .

It is a super-2 number, since 2×312144000441122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11868187 + ... + 14257722.

It is an arithmetic number, because the mean of its divisors is an integer number (1456124981259).

Almost surely, 231214400044112 is an apocalyptic number.

It is an amenable number.

31214400044112 is an abundant number, since it is smaller than the sum of its proper divisors (56153098831428).

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

31214400044112 is a wasteful number, since it uses less digits than its factorization.

31214400044112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26134220 (or 26134211 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 31214400044112 its reverse (21144000441213), we get a palindrome (52358400485325).

The spelling of 31214400044112 in words is "thirty-one trillion, two hundred fourteen billion, four hundred million, forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8297 16594 24891 33188 49782 66376 74673 99564 132752 149346 199128 298692 398256 597384 1194768 26125909 52251818 78377727 104503636 156755454 209007272 235133181 313510908 418014544 470266362 627021816 940532724 1254043632 1881065448 3762130896 216766666973 433533333946 650300000919 867066667892 1300600001838 1734133335784 1950900002757 2601200003676 3468266671568 3901800005514 5202400007352 7803600011028 10404800014704 15607200022056 31214400044112