Search a number
-
+
313040203434 = 232714931664063
BaseRepresentation
bin1001000111000101010…
…01100110111010101010
31002221000022100222221200
410203202221212322222
520112101243002214
6355450401545030
731421266553220
oct4434251467252
91087008328850
10313040203434
1111083a041132
1250804645176
132369a63890a
1411218d74b10
158222402d09
hex48e2a66eaa

313040203434 has 48 divisors (see below), whose sum is σ = 775666824192. Its totient is φ = 89380098144.

The previous prime is 313040203409. The next prime is 313040203471. The reversal of 313040203434 is 434302040313.

313040203434 is a `hidden beast` number, since 313 + 0 + 4 + 0 + 2 + 0 + 343 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313040203398 and 313040203407.

It is an unprimeable number.

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, 643914 + ... + 1020149.

It is an arithmetic number, because the mean of its divisors is an integer number (16159725504).

Almost surely, 2313040203434 is an apocalyptic number.

313040203434 is an abundant number, since it is smaller than the sum of its proper divisors (462626620758).

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

313040203434 is a wasteful number, since it uses less digits than its factorization.

313040203434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665571 (or 1665568 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 313040203434 its reverse (434302040313), we get a palindrome (747342243747).

The spelling of 313040203434 in words is "three hundred thirteen billion, forty million, two hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1493 2986 4479 8958 10451 13437 20902 26874 31353 62706 94059 188118 1664063 3328126 4992189 9984378 11648441 14976567 23296882 29953134 34945323 69890646 104835969 209671938 2484446059 4968892118 7453338177 14906676354 17391122413 22360014531 34782244826 44720029062 52173367239 104346734478 156520101717 313040203434