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314140432311 = 32167241867257
BaseRepresentation
bin1001001001001000011…
…10101001011110110111
31010000211222122102020100
410210210032221132313
520121324422313221
6400151503405143
731460456421456
oct4444416513667
91100758572210
10314140432311
111112540a23a2
1250a70bb37b3
1323814569814
14112c1132b9d
158288cd1926
hex49243a97b7

314140432311 has 24 divisors (see below), whose sum is σ = 458370136224. Its totient is φ = 207308874240.

The previous prime is 314140432279. The next prime is 314140432321. The reversal of 314140432311 is 113234041413.

314140432311 is a `hidden beast` number, since 314 + 1 + 4 + 0 + 4 + 32 + 311 = 666.

It is not a de Polignac number, because 314140432311 - 25 = 314140432279 is a prime.

It is a super-2 number, since 2×3141404323112 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314140432321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71406 + ... + 795851.

It is an arithmetic number, because the mean of its divisors is an integer number (19098755676).

Almost surely, 2314140432311 is an apocalyptic number.

314140432311 is a deficient number, since it is larger than the sum of its proper divisors (144229703913).

314140432311 is a wasteful number, since it uses less digits than its factorization.

314140432311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867671 (or 867668 counting only the distinct ones).

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

Adding to 314140432311 its reverse (113234041413), we get a palindrome (427374473724).

The spelling of 314140432311 in words is "three hundred fourteen billion, one hundred forty million, four hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 9 167 241 501 723 1503 2169 40247 120741 362223 867257 2601771 7805313 144831919 209008937 434495757 627026811 1303487271 1881080433 34904492479 104713477437 314140432311