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14014243450431 = 3271967401435769
BaseRepresentation
bin1100101111101111001000…
…0000001010111000111111
31211121202012201111012112200
43023323302000022320333
53314102132310403211
645450015441402543
72644332005602110
oct313736200127077
954552181435480
1014014243450431
114513453093824
1216a4079939453
137a86cab21323
14366415dd8207
151948215beb56
hexcbef200ae3f

14014243450431 has 96 divisors (see below), whose sum is σ = 24777394137600. Its totient is φ = 7454770329600.

The previous prime is 14014243450411. The next prime is 14014243450477. The reversal of 14014243450431 is 13405434241041.

It is a happy number.

14014243450431 is a `hidden beast` number, since 1 + 4 + 0 + 142 + 4 + 3 + 4 + 504 + 3 + 1 = 666.

It is not a de Polignac number, because 14014243450431 - 27 = 14014243450303 is a prime.

It is a super-2 number, since 2×140142434504312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14014243450411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31941915 + ... + 32377683.

It is an arithmetic number, because the mean of its divisors is an integer number (258097855600).

Almost surely, 214014243450431 is an apocalyptic number.

14014243450431 is a deficient number, since it is larger than the sum of its proper divisors (10763150687169).

14014243450431 is a wasteful number, since it uses less digits than its factorization.

14014243450431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436269 (or 436266 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 14014243450431 its reverse (13405434241041), we get a palindrome (27419677691472).

The spelling of 14014243450431 in words is "fourteen trillion, fourteen billion, two hundred forty-three million, four hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 67 133 171 201 399 401 469 603 1197 1203 1273 1407 2807 3609 3819 4221 7619 8421 8911 11457 22857 25263 26733 26867 53333 68571 80199 80601 159999 188069 241803 435769 479997 510473 564207 1307307 1531419 1692621 3050383 3573311 3921921 4594257 8279611 9151149 10719933 24838833 27453447 29196523 32159799 57957277 74516499 87589569 173871831 174743369 204375661 262768707 521615493 524230107 554733937 613126983 1223203583 1572690321 1664201811 1839380949 3320124011 3669610749 3883137559 4992605433 9960372033 11008832247 11649412677 11707805723 23240868077 29881116099 34948238031 35123417169 69722604231 81954640061 105370251507 209167812693 222448308737 245863920183 667344926211 737591760549 1557138161159 2002034778633 4671414483477 14014243450431