Search a number
-
+
313132413429 = 32115305159621
BaseRepresentation
bin1001000111010000010…
…01010111000111110101
31002221020201212202021200
410203220021113013311
520112243344212204
6355503454203113
731423466412063
oct4435011270765
91087221782250
10313132413429
111108870a1940
125082b4b3499
13236b3782744
14112272d9033
15822a569539
hex48e82571f5

313132413429 has 24 divisors (see below), whose sum is σ = 493438349664. Its totient is φ = 189770460000.

The previous prime is 313132413421. The next prime is 313132413439. The reversal of 313132413429 is 924314231313.

313132413429 is a `hidden beast` number, since 313 + 1 + 324 + 13 + 4 + 2 + 9 = 666.

It is not a de Polignac number, because 313132413429 - 23 = 313132413421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313132413393 and 313132413402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313132413421) 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 23 ways as a sum of consecutive naturals, for example, 5222239 + ... + 5281859.

It is an arithmetic number, because the mean of its divisors is an integer number (20559931236).

Almost surely, 2313132413429 is an apocalyptic number.

It is an amenable number.

313132413429 is a deficient number, since it is larger than the sum of its proper divisors (180305936235).

313132413429 is a wasteful number, since it uses less digits than its factorization.

313132413429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112689 (or 112686 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 313132413429 in words is "three hundred thirteen billion, one hundred thirty-two million, four hundred thirteen thousand, four hundred twenty-nine".

Divisors: 1 3 9 11 33 99 53051 59621 159153 178863 477459 536589 583561 655831 1750683 1967493 5252049 5902479 3162953671 9488861013 28466583039 34792490381 104377471143 313132413429