Search a number
-
+
14319093456 = 2432261737997
BaseRepresentation
bin11010101010111110…
…00000011011010000
31100221220220022111200
431111133000123100
5213311141442311
610324511511200
71014561200103
oct152537003320
940856808450
1014319093456
116088833938
122937528500
131472763585
1499ba1a73a
1558c164556
hex3557c06d0

14319093456 has 60 divisors (see below), whose sum is σ = 40089941892. Its totient is φ = 4771081728.

The previous prime is 14319093403. The next prime is 14319093493. The reversal of 14319093456 is 65439091341.

14319093456 is a `hidden beast` number, since 1 + 4 + 3 + 190 + 9 + 3 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13880609856 + 438483600 = 117816^2 + 20940^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357850 + ... + 395846.

Almost surely, 214319093456 is an apocalyptic number.

14319093456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14319093456 is an abundant number, since it is smaller than the sum of its proper divisors (25770848436).

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

14319093456 is a wasteful number, since it uses less digits than its factorization.

14319093456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40628 (or 40619 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 14319093456 in words is "fourteen billion, three hundred nineteen million, ninety-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2617 5234 7851 10468 15702 20936 23553 31404 37997 41872 47106 62808 75994 94212 113991 125616 151988 188424 227982 303976 341973 376848 455964 607952 683946 911928 1367892 1823856 2735784 5471568 99438149 198876298 298314447 397752596 596628894 795505192 894943341 1193257788 1591010384 1789886682 2386515576 3579773364 4773031152 7159546728 14319093456