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12433040140131 = 3313173797256901
BaseRepresentation
bin1011010011101100101011…
…1100001110011101100011
31122000120211221111111102000
42310323022330032131203
53112200331233441011
642235354303055043
72422154216325462
oct264731274163543
948016757444360
1012433040140131
113a63906037536
121489733ba1483
136c257a1bcab0
1430da95c809d9
1516862a2b5356
hexb4ecaf0e763

12433040140131 has 64 divisors (see below), whose sum is σ = 19975959642240. Its totient is φ = 7597301644800.

The previous prime is 12433040140127. The next prime is 12433040140139. The reversal of 12433040140131 is 13104104033421.

12433040140131 is a `hidden beast` number, since 1 + 24 + 330 + 40 + 140 + 131 = 666.

It is not a de Polignac number, because 12433040140131 - 22 = 12433040140127 is a prime.

It is a super-2 number, since 2×124330401401312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12433040140095 and 12433040140104.

It is not an unprimeable number, because it can be changed into a prime (12433040140139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48267781 + ... + 48524681.

It is an arithmetic number, because the mean of its divisors is an integer number (312124369410).

Almost surely, 212433040140131 is an apocalyptic number.

12433040140131 is a deficient number, since it is larger than the sum of its proper divisors (7542919502109).

12433040140131 is a wasteful number, since it uses less digits than its factorization.

12433040140131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257893 (or 257887 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12433040140131 its reverse (13104104033421), we get a palindrome (25537144173552).

The spelling of 12433040140131 in words is "twelve trillion, four hundred thirty-three billion, forty million, one hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 173 351 519 797 1557 2249 2391 4671 6747 7173 10361 20241 21519 31083 60723 93249 137881 256901 279747 413643 770703 1240929 1792453 2312109 3339713 3722787 5377359 6936327 10019139 16132077 30057417 44443873 48396231 90172251 133331619 204750097 399994857 577770349 614250291 1199984571 1733311047 1842750873 2661751261 5199933141 5528252619 7985253783 15599799423 23955761349 35421766781 71867284047 106265300343 318795901029 460482968153 956387703087 1381448904459 4144346713377 12433040140131