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313420314402 = 232131390196353
BaseRepresentation
bin1001000111110010100…
…11100111011100100010
31002221222210121122011200
410203321103213130202
520113341100030102
6355552221022030
731433563500366
oct4437123473442
91087883548150
10313420314402
11110a14662128
12508ab9b4916
132372b305450
141125363d2a6
15824598851c
hex48f94e7722

313420314402 has 48 divisors (see below), whose sum is σ = 731374266168. Its totient is φ = 96429081600.

The previous prime is 313420314379. The next prime is 313420314443. The reversal of 313420314402 is 204413024313.

313420314402 is a `hidden beast` number, since 3 + 1 + 342 + 0 + 314 + 4 + 0 + 2 = 666.

313420314402 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 190865008161 + 122555306241 = 436881^2 + 350079^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3204658 + ... + 3301010.

Almost surely, 2313420314402 is an apocalyptic number.

313420314402 is an abundant number, since it is smaller than the sum of its proper divisors (417953951766).

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

313420314402 is a wasteful number, since it uses less digits than its factorization.

313420314402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110275 (or 110272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 313420314402 its reverse (204413024313), we get a palindrome (517833338715).

The spelling of 313420314402 in words is "three hundred thirteen billion, four hundred twenty million, three hundred fourteen thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 13901 27802 41703 83406 96353 125109 180713 192706 250218 289059 361426 542139 578118 867177 1084278 1252589 1626417 1734354 2505178 3252834 3757767 7515534 11273301 22546602 1339403053 2678806106 4018209159 8036418318 12054627477 17412239689 24109254954 34824479378 52236719067 104473438134 156710157201 313420314402