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14127845376 = 21231767631
BaseRepresentation
bin11010010100001010…
…11101000000000000
31100110121000220110110
431022011131000000
5212413212023001
610253520431320
71010046463401
oct151205350000
940417026413
1014127845376
115a9a889377
1228a3478540
131441c51a28
149804759a8
1557a4883d6
hex34a15d000

14127845376 has 104 divisors (see below), whose sum is σ = 39886107264. Its totient is φ = 4432199680.

The previous prime is 14127845351. The next prime is 14127845387. The reversal of 14127845376 is 67354872141.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175081 + ... + 242711.

Almost surely, 214127845376 is an apocalyptic number.

14127845376 is a gapful number since it is divisible by the number (16) 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 14127845376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943053632).

14127845376 is an abundant number, since it is smaller than the sum of its proper divisors (25758261888).

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

14127845376 is an equidigital number, since it uses as much as digits as its factorization.

14127845376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67675 (or 67653 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 14127845376 in words is "fourteen billion, one hundred twenty-seven million, eight hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8704 12288 13056 17408 26112 34816 52224 67631 69632 104448 135262 202893 208896 270524 405786 541048 811572 1082096 1149727 1623144 2164192 2299454 3246288 3449181 4328384 4598908 6492576 6898362 8656768 9197816 12985152 13796724 17313536 18395632 25970304 27593448 34627072 36791264 51940608 55186896 69254144 73582528 103881216 110373792 138508288 147165056 207762432 220747584 277016576 294330112 415524864 441495168 588660224 831049728 882990336 1177320448 1765980672 2354640896 3531961344 4709281792 7063922688 14127845376