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14005152535512 = 23329412017324329
BaseRepresentation
bin1100101111001101010000…
…1001000101001111011000
31211120212202011022212201010
43023303110021011033120
53313430023022114022
645441513411453520
72643560510235015
oct313632411051730
954525664285633
1014005152535512
11450a6085468a6
1216a23612b72a0
137a78ac58b828
14365bd28b870c
1519448d43550c
hexcbcd42453d8

14005152535512 has 128 divisors (see below), whose sum is σ = 37107006552000. Its totient is φ = 4397069967360.

The previous prime is 14005152535487. The next prime is 14005152535523. The reversal of 14005152535512 is 21553525150041.

It is a super-2 number, since 2×140051525355122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575644564 + ... + 575668892.

Almost surely, 214005152535512 is an apocalyptic number.

14005152535512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14005152535512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553503276000).

14005152535512 is an abundant number, since it is smaller than the sum of its proper divisors (23101854016488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14005152535512 is a wasteful number, since it uses less digits than its factorization.

14005152535512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44581 (or 44577 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 39.

Adding to 14005152535512 its reverse (21553525150041), we get a palindrome (35558677685553).

The spelling of 14005152535512 in words is "fourteen trillion, five billion, one hundred fifty-two million, five hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 492 696 984 1189 2378 3567 4756 7134 9512 14268 20173 24329 28536 40346 48658 60519 72987 80692 97316 121038 145974 161384 194632 242076 291948 484152 583896 585017 705541 827093 997489 1170034 1411082 1654186 1755051 1994978 2116623 2340068 2481279 2822164 2992467 3308372 3510102 3989956 4233246 4680136 4962558 5644328 5984934 6616744 7020204 7979912 8466492 9925116 11969868 14040408 16932984 19850232 23939736 23985697 28927181 47971394 57854362 71957091 86781543 95942788 115708724 143914182 173563086 191885576 231417448 287828364 347126172 490788917 575656728 694252344 981577834 1472366751 1963155668 2944733502 3926311336 5889467004 11778934008 14232878593 20122345597 28465757186 40244691194 42698635779 56931514372 60367036791 80489382388 85397271558 113863028744 120734073582 160978764776 170794543116 241468147164 341589086232 482936294328 583548022313 1167096044626 1750644066939 2334192089252 3501288133878 4668384178504 7002576267756 14005152535512