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114512443405203 = 31719292584324049
BaseRepresentation
bin11010000010011000000001…
…100000101111001110010011
3120000110021122001220200020010
4122002120001200233032103
5110002132441002431303
61043314142410250003
733056152045560534
oct3202300140571623
9500407561820203
10114512443405203
113353a4aaa72808
1210a15341726903
134bb86281aa4cc
14203c608d4468b
15d38ae895ac03
hex68260182f393

114512443405203 has 96 divisors (see below), whose sum is σ = 176281174368000. Its totient is φ = 65708118024192.

The previous prime is 114512443405183. The next prime is 114512443405247. The reversal of 114512443405203 is 302504344215411.

It is not a de Polignac number, because 114512443405203 - 221 = 114512441308051 is a prime.

It is a super-2 number, since 2×1145124434052032 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114512443405273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4761618123 + ... + 4761642171.

It is an arithmetic number, because the mean of its divisors is an integer number (1836262233000).

Almost surely, 2114512443405203 is an apocalyptic number.

114512443405203 is a deficient number, since it is larger than the sum of its proper divisors (61768730962797).

114512443405203 is a wasteful number, since it uses less digits than its factorization.

114512443405203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29989 (or 29960 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 114512443405203 in words is "one hundred fourteen trillion, five hundred twelve billion, four hundred forty-three million, four hundred five thousand, two hundred three".

Divisors: 1 3 17 19 29 51 57 87 323 493 551 841 969 1479 1653 2523 5843 9367 14297 15979 17529 24049 28101 42891 47937 72147 99331 111017 169447 271643 297993 333051 408833 456931 508341 697421 814929 1226499 1370793 1887289 2092263 2880599 3219493 4913963 5661867 7767827 8641797 9658479 11856157 13250999 14741889 20225209 23303481 35568471 39752997 54731381 60675627 83537371 93365297 140518307 164194143 225266983 250612113 280095891 343828553 384278971 421554921 675800949 1031485659 1152836913 1587210049 2388811219 2669847833 4075030903 4761630147 6532742507 7166433657 8009543499 12225092709 19598227521 45387413161 69275525351 77425587157 118175896187 136162239483 207826576053 232276761471 354527688561 1316234981669 2008990235179 2245342027553 3948704945007 6026970705537 6736026082659 38170814468401 114512443405203