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314290188873 = 32173755518493
BaseRepresentation
bin1001001001011010010…
…01111011001001001001
31010001020102102211121200
410210231021323021021
520122131242020443
6400214413254413
731464255345513
oct4445511731111
91101212384550
10314290188873
11111320688751
1250ab3194409
13238395b197b
14112d6d96bb3
158297013dd3
hex492d27b249

314290188873 has 24 divisors (see below), whose sum is σ = 493670448648. Its totient is φ = 191871908352.

The previous prime is 314290188811. The next prime is 314290188881. The reversal of 314290188873 is 378881092413.

It is a happy number.

314290188873 is a `hidden beast` number, since 31 + 429 + 0 + 188 + 8 + 7 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211000585104 + 103289603769 = 459348^2 + 321387^2 .

It is not a de Polignac number, because 314290188873 - 28 = 314290188617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314290138873) 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, 27753586 + ... + 27764907.

It is an arithmetic number, because the mean of its divisors is an integer number (20569602027).

Almost surely, 2314290188873 is an apocalyptic number.

It is an amenable number.

314290188873 is a deficient number, since it is larger than the sum of its proper divisors (179380259775).

314290188873 is a wasteful number, since it uses less digits than its factorization.

314290188873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55518553 (or 55518550 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 314290188873 in words is "three hundred fourteen billion, two hundred ninety million, one hundred eighty-eight thousand, eight hundred seventy-three".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 55518493 166555479 499666437 943814381 2054184241 2831443143 6162552723 8494329429 18487658169 34921132097 104763396291 314290188873