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314801631 = 32172127953
BaseRepresentation
bin10010110000110…
…111110111011111
3210221100120122200
4102300313313133
51121042123011
651123142543
710541525004
oct2260676737
9727316580
10314801631
11151774141
1289514a53
13502b1071
142db478ab
151c984856
hex12c37ddf

314801631 has 36 divisors (see below), whose sum is σ = 487348992. Its totient is φ = 195761664.

The previous prime is 314801603. The next prime is 314801651. The reversal of 314801631 is 136108413.

It is not a de Polignac number, because 314801631 - 215 = 314768863 is a prime.

It is a super-2 number, since 2×3148016312 = 198200133760520322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314801595 and 314801604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314801651) 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 35 ways as a sum of consecutive naturals, for example, 329851 + ... + 330803.

It is an arithmetic number, because the mean of its divisors is an integer number (13537472).

Almost surely, 2314801631 is an apocalyptic number.

314801631 is a deficient number, since it is larger than the sum of its proper divisors (172547361).

314801631 is a wasteful number, since it uses less digits than its factorization.

314801631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 314801631 is about 17742.6500557273. The cubic root of 314801631 is about 680.2663539896.

The spelling of 314801631 in words is "three hundred fourteen million, eight hundred one thousand, six hundred thirty-one".

Divisors: 1 3 9 17 51 127 153 289 381 867 953 1143 2159 2601 2859 6477 8577 16201 19431 36703 48603 110109 121031 145809 275417 330327 363093 826251 1089279 2057527 2478753 6172581 18517743 34977959 104933877 314801631