Search a number
-
+
12313417866304 = 264386312
BaseRepresentation
bin1011001100101111000011…
…1001011101110001000000
31121121011002021002100210211
42303023300321131301000
53103220334433210204
642104412302403504
72410420654635532
oct263136071356100
947534067070724
1012313417866304
113a18100414705
12146a50a890594
136b41c5348949
14307d88b81852
15165478573804
hexb32f0e5dc40

12313417866304 has 21 divisors (see below), whose sum is σ = 24434494284711. Its totient is φ = 6156694896960.

The previous prime is 12313417866227. The next prime is 12313417866521. The reversal of 12313417866304 is 40366871431321.

The square root of 12313417866304 is 3509048.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 27853069 + ... + 28291699.

It is an arithmetic number, because the mean of its divisors is an integer number (1163547346891).

Almost surely, 212313417866304 is an apocalyptic number.

12313417866304 is the 3509048-th square number.

It is an amenable number.

12313417866304 is a deficient number, since it is larger than the sum of its proper divisors (12121076418407).

12313417866304 is an frugal number, since it uses more digits than its factorization.

12313417866304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877274 (or 438633 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 12313417866304 by its sum of digits (49), we get a square (603357475448896 = 245633362).

The spelling of 12313417866304 in words is "twelve trillion, three hundred thirteen billion, four hundred seventeen million, eight hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 438631 877262 1754524 3509048 7018096 14036192 28072384 192397154161 384794308322 769588616644 1539177233288 3078354466576 6156708933152 12313417866304