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14132352144 = 2431761972927
BaseRepresentation
bin11010010100101101…
…01001010010010000
31100110220111212120210
431022112221102100
5212420340232034
610254201204120
71010133003561
oct151226512220
940426455523
1014132352144
115aa2387379
1228a4a90640
131442b6c161
14980cca168
1557aa788e9
hex34a5a9490

14132352144 has 160 divisors (see below), whose sum is σ = 39708458496. Its totient is φ = 4314562560.

The previous prime is 14132352103. The next prime is 14132352151. The reversal of 14132352144 is 44125323141.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4826809 + ... + 4829735.

Almost surely, 214132352144 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 14132352144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854229248).

14132352144 is an abundant number, since it is smaller than the sum of its proper divisors (25576106352).

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

14132352144 is a wasteful number, since it uses less digits than its factorization.

14132352144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3107 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 14132352144 its reverse (44125323141), we get a palindrome (58257675285).

The spelling of 14132352144 in words is "fourteen billion, one hundred thirty-two million, three hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 61 68 97 102 122 136 183 194 204 244 272 291 366 388 408 488 582 732 776 816 976 1037 1164 1464 1552 1649 2074 2328 2927 2928 3111 3298 4148 4656 4947 5854 5917 6222 6596 8296 8781 9894 11708 11834 12444 13192 16592 17562 17751 19788 23416 23668 24888 26384 35124 35502 39576 46832 47336 49759 49776 70248 71004 79152 94672 99518 100589 140496 142008 149277 178547 199036 201178 283919 284016 298554 301767 357094 398072 402356 535641 567838 597108 603534 714188 796144 804712 851757 1071282 1135676 1194216 1207068 1428376 1609424 1703514 2142564 2271352 2388432 2414136 2856752 3035299 3407028 4285128 4542704 4826623 4828272 6070598 6814056 8570256 9105897 9653246 12141196 13628112 14479869 17319059 18211794 19306492 24282392 28959738 34638118 36423588 38612984 48564784 51957177 57919476 69276236 72847176 77225968 103914354 115838952 138552472 145694352 207828708 231677904 277104944 294424003 415657416 588848006 831314832 883272009 1177696012 1766544018 2355392024 3533088036 4710784048 7066176072 14132352144