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14400504111 = 37419139757
BaseRepresentation
bin11010110100101011…
…00100000100101111
31101011121002101221010
431122111210010233
5213443012112421
610340540440303
71016600160000
oct153225440457
941147071833
1014400504111
11611a788974
12295a849093
131486598a66
149a876d1a7
15594396076
hex35a56412f

14400504111 has 80 divisors (see below), whose sum is σ = 23779369600. Its totient is φ = 7729452864.

The previous prime is 14400504091. The next prime is 14400504137. The reversal of 14400504111 is 11140500441.

14400504111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14400504111 - 211 = 14400502063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400504191) 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 79 ways as a sum of consecutive naturals, for example, 19022745 + ... + 19023501.

It is an arithmetic number, because the mean of its divisors is an integer number (297242120).

Almost surely, 214400504111 is an apocalyptic number.

14400504111 is a deficient number, since it is larger than the sum of its proper divisors (9378865489).

14400504111 is an equidigital number, since it uses as much as digits as its factorization.

14400504111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The spelling of 14400504111 in words is "fourteen billion, four hundred million, five hundred four thousand, one hundred eleven".

Divisors: 1 3 7 19 21 49 57 133 139 147 343 399 417 757 931 973 1029 2271 2401 2641 2793 2919 5299 6517 6811 7203 7923 14383 15897 18487 19551 20433 37093 43149 45619 47677 55461 100681 105223 111279 129409 136857 143031 259651 302043 315669 333739 388227 704767 736561 778953 905863 1001217 1817557 1999237 2114301 2209683 2717589 4933369 5155927 5452671 5997711 6341041 13994659 14800107 15467781 19023123 34533583 36091489 41983977 97962613 103600749 108274467 252640423 293887839 685738291 757921269 2057214873 4800168037 14400504111