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14027169792 = 21331314357
BaseRepresentation
bin11010001000001010…
…11010000000000000
31100012120121001112010
431010011122000000
5212211423413132
610235522532520
71004414655516
oct150405320000
940176531463
1014027169792
115a48a76309
122875807140
13142713288c
14970d4a4b6
155716ed6cc
hex34415a000

14027169792 has 112 divisors (see below), whose sum is σ = 37697676192. Its totient is φ = 4638965760.

The previous prime is 14027169791. The next prime is 14027169797. The reversal of 14027169792 is 29796172041.

It is a super-2 number, since 2×140271697922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14027169791) 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, 3217278 + ... + 3221634.

Almost surely, 214027169792 is an apocalyptic number.

14027169792 is a gapful number since it is divisible by the number (12) 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 14027169792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18848838096).

14027169792 is an abundant number, since it is smaller than the sum of its proper divisors (23670506400).

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

14027169792 is an equidigital number, since it uses as much as digits as its factorization.

14027169792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 14027169792 in words is "fourteen billion, twenty-seven million, one hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1024 1048 1536 1572 2048 2096 3072 3144 4096 4192 4357 6144 6288 8192 8384 8714 12288 12576 13071 16768 17428 24576 25152 26142 33536 34856 50304 52284 67072 69712 100608 104568 134144 139424 201216 209136 268288 278848 402432 418272 536576 557696 570767 804864 836544 1073152 1115392 1141534 1609728 1673088 1712301 2230784 2283068 3219456 3346176 3424602 4461568 4566136 6692352 6849204 8923136 9132272 13384704 13698408 17846272 18264544 26769408 27396816 35692544 36529088 53538816 54793632 73058176 107077632 109587264 146116352 219174528 292232704 438349056 584465408 876698112 1168930816 1753396224 2337861632 3506792448 4675723264 7013584896 14027169792