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144311013020399 = 17127233379756923
BaseRepresentation
bin100000110100000000000110…
…101010110001001011101111
3200220221222221121210200010212
4200310000012222301023233
5122403342423313123044
61230531321505253035
742253061301250001
oct4064000652611357
9626858847720125
10144311013020399
1141a88a58740365
121422853633417b
13626a615b70944
14278c99426c371
1511a3cd9917a9e
hex834006ab12ef

144311013020399 has 32 divisors (see below), whose sum is σ = 155072291512320. Its totient is φ = 133820127931392.

The previous prime is 144311013020387. The next prime is 144311013020423. The reversal of 144311013020399 is 993020310113441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144311013020399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144311013020099) 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, 190276352 + ... + 191033274.

It is an arithmetic number, because the mean of its divisors is an integer number (4846009109760).

Almost surely, 2144311013020399 is an apocalyptic number.

144311013020399 is a deficient number, since it is larger than the sum of its proper divisors (10761278491921).

144311013020399 is a wasteful number, since it uses less digits than its factorization.

144311013020399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757679.

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 144311013020399 in words is "one hundred forty-four trillion, three hundred eleven billion, thirteen million, twenty thousand, three hundred ninety-nine".

Divisors: 1 17 127 233 379 2159 3961 6443 29591 48133 88307 503047 756923 818261 1501219 11214989 12867691 96129221 176363059 190654813 286873817 1634196757 2998172003 4876854889 22398108493 36432974759 66841599361 380767844381 619360570903 1136307189137 8488883118847 144311013020399