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314645013145504 = 25232711577515909
BaseRepresentation
bin100011110001010110000000…
…0001111010010011110100000
31112021001202202221220022102001
41013202230000033102132200
5312220120441331124004
63033105531253333344
7123163231513334056
oct10742540017223640
91467052687808361
10314645013145504
119128a2231620a8
122b35838a337254
1310674b8884a8b2
14579ac8543a1d6
15265998b2631a4
hex11e2b003d27a0

314645013145504 has 48 divisors (see below), whose sum is σ = 648775503210240. Its totient is φ = 149927111896320.

The previous prime is 314645013145501. The next prime is 314645013145531. The reversal of 314645013145504 is 405541310546413.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (314645013145501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788558499 + ... + 788957410.

It is an arithmetic number, because the mean of its divisors is an integer number (13516156316880).

Almost surely, 2314645013145504 is an apocalyptic number.

It is an amenable number.

314645013145504 is an abundant number, since it is smaller than the sum of its proper divisors (334130490064736).

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

314645013145504 is a wasteful number, since it uses less digits than its factorization.

314645013145504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577516213 (or 1577516205 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 314645013145504 in words is "three hundred fourteen trillion, six hundred forty-five billion, thirteen million, one hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 271 368 542 736 1084 2168 4336 6233 8672 12466 24932 49864 99728 199456 1577515909 3155031818 6310063636 12620127272 25240254544 36282865907 50480509088 72565731814 145131463628 290262927256 427506811339 580525854512 855013622678 1161051709024 1710027245356 3420054490712 6840108981424 9832656660797 13680217962848 19665313321594 39330626643188 78661253286376 157322506572752 314645013145504