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14536255145104 = 2471126985351421
BaseRepresentation
bin1101001110000111110001…
…0100110000010010010000
31220110122121121120212100001
43103201330110300102100
53401130222304120404
650525510255535344
73030131645025430
oct323417424602220
956418547525301
1014536255145104
1146a4878085220
12176928252a554
138159bc3570b4
143837b67642c0
151a31c48917a4
hexd387c530490

14536255145104 has 160 divisors (see below), whose sum is σ = 35286089045760. Its totient is φ = 5635697817600.

The previous prime is 14536255145101. The next prime is 14536255145129. The reversal of 14536255145104 is 40154155263541.

It is a super-2 number, since 2×145362551451042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14536255145101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282665314 + ... + 282716734.

It is an arithmetic number, because the mean of its divisors is an integer number (220538056536).

Almost surely, 214536255145104 is an apocalyptic number.

14536255145104 is a gapful number since it is divisible by the number (14) 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 14536255145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643044522880).

14536255145104 is an abundant number, since it is smaller than the sum of its proper divisors (20749833900656).

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

14536255145104 is a wasteful number, since it uses less digits than its factorization.

14536255145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52569 (or 52563 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 14536255145104 in words is "fourteen trillion, five hundred thirty-six billion, two hundred fifty-five million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 269 308 538 616 853 1076 1232 1706 1883 2152 2959 3412 3766 4304 5918 5971 6824 7532 9383 11836 11942 13648 15064 18766 20713 23672 23884 30128 37532 41426 47344 47768 51421 65681 75064 82852 95536 102842 131362 150128 165704 205684 229457 262724 331408 359947 411368 458914 525448 565631 719894 822736 917828 1050896 1131262 1439788 1606199 1835656 2262524 2524027 2879576 3212398 3671312 3959417 4525048 5048054 5759152 6424796 7918834 9050096 10096108 12849592 13832249 15837668 17668189 20192216 25699184 27664498 31675336 35336378 40384432 43862113 55328996 63350672 70672756 87724226 96825743 110657992 141345512 152154739 175448452 193651486 221315984 282691024 304309478 307034791 350896904 387302972 482483243 608618956 614069582 701793808 774605944 964966486 1065083173 1217237912 1228139164 1549211888 1929932972 2130166346 2434475824 2456278328 3377382701 3859865944 4260332692 4912556656 6754765402 7719731888 8520665384 11798908397 13509530804 17041330768 23597816794 27019061608 47195633588 54038123216 82592358779 94391267176 129787992367 165184717558 188782534352 259575984734 330369435116 519151969468 660738870232 908515946569 1038303938936 1321477740464 1817031893138 2076607877872 3634063786276 7268127572552 14536255145104