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14140142576 = 247613176529
BaseRepresentation
bin11010010101101000…
…10111001111110000
31100111110011200001022
431022310113033300
5212424334030301
610255040155012
71010256141320
oct151264271760
940443150038
1014140142576
115aa681844a
1228a7608a68
131444669091
14981d57280
1557b5b6d1b
hex34ad173f0

14140142576 has 80 divisors (see below), whose sum is σ = 31928879040. Its totient is φ = 5941002240.

The previous prime is 14140142563. The next prime is 14140142593. The reversal of 14140142576 is 67524104141.

It is a congruent number.

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, 2162480 + ... + 2169008.

It is an arithmetic number, because the mean of its divisors is an integer number (399110988).

Almost surely, 214140142576 is an apocalyptic number.

14140142576 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 14140142576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964439520).

14140142576 is an abundant number, since it is smaller than the sum of its proper divisors (17788736464).

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

14140142576 is a wasteful number, since it uses less digits than its factorization.

14140142576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 14140142576 in words is "fourteen billion, one hundred forty million, one hundred forty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 317 427 488 634 854 976 1268 1708 2219 2536 3416 4438 5072 6529 6832 8876 13058 17752 19337 26116 35504 38674 45703 52232 77348 91406 104464 135359 154696 182812 270718 309392 365624 398269 541436 731248 796538 1082872 1593076 2069693 2165744 2787883 3186152 4139386 5575766 6372304 8278772 11151532 14487851 16557544 22303064 28975702 33115088 44606128 57951404 115902808 126251273 231805616 252502546 505005092 883758911 1010010184 1767517822 2020020368 3535035644 7070071288 14140142576