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314607014337 = 372111711444833
BaseRepresentation
bin1001001010000000000…
…10100001000111000001
31010002001111121020110010
410211000002201013001
520123303343424322
6400310052055133
731505153333100
oct4450002410701
91102044536403
10314607014337
11111473504380
1250b813044a9
132388a120c65
14113270aa037
1582b4c4820c
hex49400a11c1

314607014337 has 48 divisors (see below), whose sum is σ = 563635184832. Its totient is φ = 153818542080.

The previous prime is 314607014321. The next prime is 314607014363. The reversal of 314607014337 is 733410706413.

It is not a de Polignac number, because 314607014337 - 24 = 314607014321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314607014295 and 314607014304.

It is not an unprimeable number, because it can be changed into a prime (314607014317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5694928 + ... + 5749905.

It is an arithmetic number, because the mean of its divisors is an integer number (11742399684).

Almost surely, 2314607014337 is an apocalyptic number.

It is an amenable number.

314607014337 is a deficient number, since it is larger than the sum of its proper divisors (249028170495).

314607014337 is a wasteful number, since it uses less digits than its factorization.

314607014337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11444878 (or 11444871 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 314607014337 in words is "three hundred fourteen billion, six hundred seven million, fourteen thousand, three hundred thirty-seven".

Divisors: 1 3 7 11 17 21 33 49 51 77 119 147 187 231 357 539 561 833 1309 1617 2499 3927 9163 27489 11444833 34334499 80113831 125893163 194562161 240341493 377679489 560796817 583686483 881252141 1361935127 1682390451 2140183771 2643756423 4085805381 6168764987 6420551313 9533545889 14981286397 18506294961 28600637667 44943859191 104869004779 314607014337