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3140431031331 = 321131721525569
BaseRepresentation
bin101101101100110000010…
…001101010110000100011
3102010020000001000211000200
4231230300101222300203
5402423100321000311
610402405531520243
7442613544220356
oct55546021526043
912106001024020
103140431031331
1110009384a0060
12428777bb9083
1319a1ab7a9a09
14abdd788629d
1556a53208556
hex2db3046ac23

3140431031331 has 12 divisors (see below), whose sum is σ = 4948557988920. Its totient is φ = 1903291534080.

The previous prime is 3140431031317. The next prime is 3140431031399. The reversal of 3140431031331 is 1331301340413.

3140431031331 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 4 + 310 + 313 + 31 = 666.

It is not a de Polignac number, because 3140431031331 - 214 = 3140431014947 is a prime.

It is a super-2 number, since 2×31404310313312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3140431031295 and 3140431031304.

It is not an unprimeable number, because it can be changed into a prime (3140431031531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15860762686 + ... + 15860762883.

It is an arithmetic number, because the mean of its divisors is an integer number (412379832410).

Almost surely, 23140431031331 is an apocalyptic number.

3140431031331 is a deficient number, since it is larger than the sum of its proper divisors (1808126957589).

3140431031331 is a wasteful number, since it uses less digits than its factorization.

3140431031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31721525586 (or 31721525583 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 3140431031331 its reverse (1331301340413), we get a palindrome (4471732371744).

The spelling of 3140431031331 in words is "three trillion, one hundred forty billion, four hundred thirty-one million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 31721525569 95164576707 285493730121 348936781259 1046810343777 3140431031331