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314722138367 = 72131456133931
BaseRepresentation
bin1001001010001101110…
…01101011100011111111
31010002100112020010221002
410211012321223203333
520124022331411432
6400325323400515
731511052015500
oct4450671534377
91102315203832
10314722138367
111115224957aa
1250bb398313b
13238a7c2b6a0
14113384b6ba7
1582bedd8e62
hex4946e6b8ff

314722138367 has 24 divisors (see below), whose sum is σ = 394305991632. Its totient is φ = 248986483200.

The previous prime is 314722138321. The next prime is 314722138391. The reversal of 314722138367 is 763831227413.

It is not a de Polignac number, because 314722138367 - 232 = 310427171071 is a prime.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314722138667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9258392 + ... + 9292322.

It is an arithmetic number, because the mean of its divisors is an integer number (16429416318).

Almost surely, 2314722138367 is an apocalyptic number.

314722138367 is a deficient number, since it is larger than the sum of its proper divisors (79583853265).

314722138367 is a wasteful number, since it uses less digits than its factorization.

314722138367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48519 (or 48512 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 47.

The spelling of 314722138367 in words is "three hundred fourteen billion, seven hundred twenty-two million, one hundred thirty-eight thousand, three hundred sixty-seven".

Divisors: 1 7 13 49 91 637 14561 33931 101927 189293 237517 441103 713489 1325051 1662619 3087721 9275357 21614047 494069291 3458485037 6422900783 24209395259 44960305481 314722138367