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14012333432001 = 32311371511242617
BaseRepresentation
bin1100101111101000000000…
…1010000001110011000001
31211121120021121110012211100
43023322000022001303001
53314034224324311001
645445102131205013
72644233453655212
oct313720012016301
954546247405740
1014012333432001
114512662a156a3
1216a3826146769
137a84851c06c8
143662b4483409
1519475da83586
hexcbe80281cc1

14012333432001 has 48 divisors (see below), whose sum is σ = 21059459785728. Its totient is φ = 8968251916800.

The previous prime is 14012333431951. The next prime is 14012333432057. The reversal of 14012333432001 is 10023433321041.

It is a happy number.

14012333432001 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 3 + 334 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 14012333432001 - 211 = 14012333429953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14012333422001) 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 47 ways as a sum of consecutive naturals, for example, 57633645 + ... + 57876261.

It is an arithmetic number, because the mean of its divisors is an integer number (438738745536).

Almost surely, 214012333432001 is an apocalyptic number.

It is an amenable number.

14012333432001 is a deficient number, since it is larger than the sum of its proper divisors (7047126353727).

14012333432001 is a wasteful number, since it uses less digits than its factorization.

14012333432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244302 (or 244299 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14012333432001 its reverse (10023433321041), we get a palindrome (24035766753042).

The spelling of 14012333432001 in words is "fourteen trillion, twelve billion, three hundred thirty-three million, four hundred thirty-two thousand, one".

Divisors: 1 3 9 31 93 137 279 411 1233 1511 4247 4533 12741 13599 38223 46841 140523 207007 242617 421569 621021 727851 1863063 2183553 6417217 7521127 19251651 22563381 33238529 57754953 67690143 99715587 299146761 366594287 1030394399 1099782861 3091183197 3299348583 9273549591 11364422897 34093268691 50223417319 102279806073 150670251957 452010755871 1556925936889 4670777810667 14012333432001