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14014667328 = 263432516763
BaseRepresentation
bin11010000110101011…
…01101101001000000
31100011201001212100220
431003111231221000
5212200223323303
610234354543040
71004203464264
oct150325555100
940151055326
1014014667328
115a41a06aa2
122871597a80
131424675c7c
1496d4140a4
1557057e053
hex34356da40

14014667328 has 112 divisors (see below), whose sum is σ = 38099609856. Its totient is φ = 4544064000.

The previous prime is 14014667321. The next prime is 14014667347. The reversal of 14014667328 is 82376641041.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14014667328.

It is not an unprimeable number, because it can be changed into a prime (14014667321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2068875 + ... + 2075637.

It is an arithmetic number, because the mean of its divisors is an integer number (340175088).

Almost surely, 214014667328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049804928).

14014667328 is an abundant number, since it is smaller than the sum of its proper divisors (24084942528).

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

14014667328 is a wasteful number, since it uses less digits than its factorization.

14014667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 14014667328 in words is "fourteen billion, fourteen million, six hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 251 258 344 502 516 688 753 1004 1032 1376 1506 2008 2064 2752 3012 4016 4128 6024 6763 8032 8256 10793 12048 13526 16064 20289 21586 24096 27052 32379 40578 43172 48192 54104 64758 81156 86344 108208 129516 162312 172688 216416 259032 290809 324624 345376 432832 518064 581618 649248 690752 872427 1036128 1163236 1298496 1697513 1744854 2072256 2326472 3395026 3489708 4652944 5092539 6790052 6979416 9305888 10185078 13580104 13958832 18611776 20370156 27160208 27917664 40740312 54320416 55835328 72993059 81480624 108640832 145986118 162961248 218979177 291972236 325922496 437958354 583944472 875916708 1167888944 1751833416 2335777888 3503666832 4671555776 7007333664 14014667328