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13114132433032 = 2329436734756543
BaseRepresentation
bin1011111011010101111100…
…1101001000100010001000
31201102200212102210212001211
42332311133031020202020
53204330220400324112
643520314350422504
72522315266311511
oct276653715104210
951380772725054
1013114132433032
1141a6743967a14
121579734501a34
13741871364a67
14334a27d93a08
1517b1de4640a7
hexbed5f348888

13114132433032 has 128 divisors (see below), whose sum is σ = 26493532876800. Its totient is φ = 6073772398848.

The previous prime is 13114132432963. The next prime is 13114132433033. The reversal of 13114132433032 is 23033423141131.

13114132433032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131141324330322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13114132432985 and 13114132433003.

It is not an unprimeable number, because it can be changed into a prime (13114132433033) 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, 231903753 + ... + 231960295.

It is an arithmetic number, because the mean of its divisors is an integer number (206980725600).

Almost surely, 213114132433032 is an apocalyptic number.

It is an amenable number.

13114132433032 is an abundant number, since it is smaller than the sum of its proper divisors (13379400443768).

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

13114132433032 is a wasteful number, since it uses less digits than its factorization.

13114132433032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57035 (or 57031 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 13114132433032 its reverse (23033423141131), we get a palindrome (36147555574163).

The spelling of 13114132433032 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-two million, four hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 29 43 58 67 86 116 134 172 232 268 344 347 536 694 1247 1388 1943 2494 2776 2881 3886 4988 5762 7772 9976 10063 11524 14921 15544 20126 23048 23249 29842 40252 46498 56543 59684 80504 83549 92996 113086 119368 167098 185992 226172 334196 432709 452344 668392 674221 865418 999707 1348442 1639747 1730836 1999414 2431349 2696884 3279494 3461672 3788381 3998828 4862698 5393768 6558988 7576762 7997656 9725396 13117976 15153524 19450792 19620421 28991503 30307048 39240842 57983006 70509121 78481684 109863049 115966012 141018242 156963368 162900383 219726098 231932024 282036484 325800766 439452196 564072968 568992209 651601532 843678103 878904392 1137984418 1303203064 1314568207 1687356206 2275968836 2629136414 3374712412 4551937672 4724111107 5258272828 6749424824 9448222214 10516545656 18896444428 24466664987 37792888856 38122478003 48933329974 56526432901 76244956006 97866659948 113052865802 152489912012 195733319896 226105731604 304979824024 452211463208 1639266554129 3278533108258 6557066216516 13114132433032