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314574317316 = 2232710131232291
BaseRepresentation
bin1001001001111100001…
…01110010011100000100
31010001222020002001120100
410210332011302130010
520123222011123231
6400302523204100
731504305402360
oct4447605623404
91101866061510
10314574317316
11111457001646
1250b72376630
13238834134cc
14113229d82a0
1582b1e3a1e6
hex493e172704

314574317316 has 72 divisors (see below), whose sum is σ = 909668096064. Its totient is φ = 89789578560.

The previous prime is 314574317297. The next prime is 314574317327. The reversal of 314574317316 is 613713475413.

314574317316 is a `hidden beast` number, since 3 + 1 + 4 + 574 + 3 + 1 + 73 + 1 + 6 = 666.

It is a super-2 number, since 2×3145743173162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360870 + ... + 871421.

It is an arithmetic number, because the mean of its divisors is an integer number (12634279112).

Almost surely, 2314574317316 is an apocalyptic number.

314574317316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314574317316 is an abundant number, since it is smaller than the sum of its proper divisors (595093778748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314574317316 is a wasteful number, since it uses less digits than its factorization.

314574317316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233321 (or 1233316 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 314574317316 in words is "three hundred fourteen billion, five hundred seventy-four million, three hundred seventeen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1013 2026 3039 4052 6078 7091 9117 12156 14182 18234 21273 28364 36468 42546 63819 85092 127638 255276 1232291 2464582 3696873 4929164 7393746 8626037 11090619 14787492 17252074 22181238 25878111 34504148 44362476 51756222 77634333 103512444 155268666 310537332 1248310783 2496621566 3744932349 4993243132 7489864698 8738175481 11234797047 14979729396 17476350962 22469594094 26214526443 34952701924 44939188188 52429052886 78643579329 104858105772 157287158658 314574317316