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14914250928 = 2433269128341
BaseRepresentation
bin11011110001111010…
…10110100010110000
31102111101210110002000
431320331112202300
5221021022012203
610503532054000
71035406020063
oct157075264260
942441713060
1014914250928
116363784515
122a82904300
131538b54c65
14a16aa28da
155c45274a3
hex378f568b0

14914250928 has 80 divisors (see below), whose sum is σ = 42968901600. Its totient is φ = 4952897280.

The previous prime is 14914250863. The next prime is 14914250941. The reversal of 14914250928 is 82905241941.

It is a happy number.

14914250928 is a `hidden beast` number, since 14 + 91 + 42 + 509 + 2 + 8 = 666.

It is a super-2 number, since 2×149142509282 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52038 + ... + 180378.

It is an arithmetic number, because the mean of its divisors is an integer number (537111270).

Almost surely, 214914250928 is an apocalyptic number.

14914250928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14914250928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484450800).

14914250928 is an abundant number, since it is smaller than the sum of its proper divisors (28054650672).

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

14914250928 is a wasteful number, since it uses less digits than its factorization.

14914250928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128627 (or 128615 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 14914250928 in words is "fourteen billion, nine hundred fourteen million, two hundred fifty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 269 432 538 807 1076 1614 2152 2421 3228 4304 4842 6456 7263 9684 12912 14526 19368 29052 38736 58104 116208 128341 256682 385023 513364 770046 1026728 1155069 1540092 2053456 2310138 3080184 3465207 4620276 6160368 6930414 9240552 13860828 18481104 27721656 34523729 55443312 69047458 103571187 138094916 207142374 276189832 310713561 414284748 552379664 621427122 828569496 932140683 1242854244 1657138992 1864281366 2485708488 3728562732 4971416976 7457125464 14914250928