Search a number
-
+
14252158656 = 263423119533
BaseRepresentation
bin11010100010111111…
…01010111011000000
31100210020221200020000
431101133222323000
5213142023034111
610314121120000
71013116230651
oct152137527300
940706850200
1014252158656
116053a7681a
122919029000
131461928c98
14992b95528
15586341c56
hex3517eaec0

14252158656 has 140 divisors (see below), whose sum is σ = 44085095472. Its totient is φ = 4544128512.

The previous prime is 14252158637. The next prime is 14252158667. The reversal of 14252158656 is 65685125241.

14252158656 is a `hidden beast` number, since 1 + 42 + 5 + 21 + 586 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59466 + ... + 178998.

Almost surely, 214252158656 is an apocalyptic number.

14252158656 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 14252158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22042547736).

14252158656 is an abundant number, since it is smaller than the sum of its proper divisors (29832936816).

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

14252158656 is a wasteful number, since it uses less digits than its factorization.

14252158656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119580 (or 119561 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

It can be divided in two parts, 1425 and 2158656, that added together give a triangular number (2160081 = T2078).

The spelling of 14252158656 in words is "fourteen billion, two hundred fifty-two million, one hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 29808 39744 59616 119232 119533 239066 358599 478132 717198 956264 1075797 1434396 1912528 2151594 2749259 2868792 3227391 3825056 4303188 5498518 5737584 6454782 7650112 8247777 8606376 9682173 10997036 11475168 12909564 16495554 17212752 19364346 21994072 22950336 24743331 25819128 32991108 34425504 38728692 43988144 49486662 51638256 65982216 68851008 74229993 77457384 87976288 98973324 103276512 131964432 148459986 154914768 175952576 197946648 206553024 222689979 263928864 296919972 309829536 395893296 445379958 527857728 593839944 619659072 791786592 890759916 1187679888 1583573184 1781519832 2375359776 3563039664 4750719552 7126079328 14252158656