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14053928806449 = 3272172105012
BaseRepresentation
bin1100110010000010111101…
…1011110010100000110001
31211202112122110111011122100
43030200233123302200301
53320224421233301244
645520141420331013
72650235312552400
oct314405733624061
954675573434570
1014053928806449
114529268476114
1216ab8b43a3a69
137ac3839494cc
143682dc89d637
15195895653b69
hexcc82f6f2831

14053928806449 has 81 divisors (see below), whose sum is σ = 25087608272961. Its totient is φ = 7557695712000.

The previous prime is 14053928806439. The next prime is 14053928806459. The reversal of 14053928806449 is 94460882935041.

The square root of 14053928806449 is 3748857.

It is a perfect power (a square), and thus also a powerful number.

14053928806449 is a `hidden beast` number, since 1 + 40 + 53 + 9 + 28 + 80 + 6 + 449 = 666.

It is an interprime number because it is at equal distance from previous prime (14053928806439) and next prime (14053928806459).

It can be written as a sum of positive squares in 4 ways, for example, as 98235230625 + 13955693575824 = 313425^2 + 3735732^2 .

It is not a de Polignac number, because 14053928806449 - 225 = 14053895252017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (14053928806439) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1338336699 + ... + 1338347199.

Almost surely, 214053928806449 is an apocalyptic number.

14053928806449 is the 3748857-th square number.

14053928806449 is the 1874429-th centered octagonal number.

It is an amenable number.

14053928806449 is a deficient number, since it is larger than the sum of its proper divisors (11033679466512).

14053928806449 is an frugal number, since it uses more digits than its factorization.

14053928806449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21056 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 14053928806449 in words is "fourteen trillion, fifty-three billion, nine hundred twenty-eight million, eight hundred six thousand, four hundred forty-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 357 441 833 867 1071 2023 2499 2601 6069 7497 10501 14161 18207 31503 42483 73507 94509 127449 178517 220521 514549 535551 661563 1249619 1543647 1606653 3034789 3748857 4630941 8747333 9104367 11246571 21243523 26241999 27313101 63730569 78725997 110271001 148704661 191191707 330813003 446113983 771897007 992439009 1338341949 1874607017 2315691021 5403279049 5623821051 6947073063 13122249119 16209837147 16871463153 31868319289 39366747357 48629511441 91855743833 95604957867 118100242071 223078235023 275567231499 286814873601 669234705069 826701694497 1561547645161 2007704115207 4684642935483 14053928806449