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14153315232 = 2537219158357
BaseRepresentation
bin11010010111001101…
…00111001110100000
31100112100221220112110
431023212213032200
5212441222041412
610300230355320
71010506123500
oct151346471640
940470856473
1014153315232
1160031a5241
1228ababbb40
1314472cba54
149839c5a00
1557c819d3c
hex34b9a73a0

14153315232 has 144 divisors (see below), whose sum is σ = 45493086240. Its totient is φ = 3830948352.

The previous prime is 14153315227. The next prime is 14153315233. The reversal of 14153315232 is 23251335141.

14153315232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14153315232.

It is not an unprimeable number, because it can be changed into a prime (14153315233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10198 + ... + 168554.

It is an arithmetic number, because the mean of its divisors is an integer number (315924210).

Almost surely, 214153315232 is an apocalyptic number.

14153315232 is a gapful number since it is divisible by the number (12) 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 14153315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22746543120).

14153315232 is an abundant number, since it is smaller than the sum of its proper divisors (31339771008).

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

14153315232 is a wasteful number, since it uses less digits than its factorization.

14153315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158403 (or 158388 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The spelling of 14153315232 in words is "fourteen billion, one hundred fifty-three million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3724 4256 4704 5586 6384 7448 11172 12768 14896 22344 29792 44688 89376 158357 316714 475071 633428 950142 1108499 1266856 1900284 2216998 2533712 3008783 3325497 3800568 4433996 5067424 6017566 6650994 7601136 7759493 8867992 9026349 12035132 13301988 15202272 15518986 17735984 18052698 21061481 23278479 24070264 26603976 31037972 35471968 36105396 42122962 46556958 48140528 53207952 62075944 63184443 72210792 84245924 93113916 96281056 106415904 124151888 126368886 144421584 147430367 168491848 186227832 248303776 252737772 288843168 294860734 336983696 372455664 442291101 505475544 589721468 673967392 744911328 884582202 1010951088 1179442936 1769164404 2021902176 2358885872 3538328808 4717771744 7076657616 14153315232