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132403143113343 = 3543101625720051
BaseRepresentation
bin11110000110101110000010…
…010011111111101001111111
3122100210121122200202012200000
4132012232002103333221333
5114323243114114111333
61145333055251005343
736613545213141354
oct3606560223775177
9570717580665600
10132403143113343
11392079485a9a43
1212a24748899853
1358b574169956b
14249a4bc42c62b
151049199d82713
hex786b824ffa7f

132403143113343 has 96 divisors (see below), whose sum is σ = 204996991110912. Its totient is φ = 85344477120000.

The previous prime is 132403143113317. The next prime is 132403143113377. The reversal of 132403143113343 is 343311341304231.

132403143113343 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 0 + 3 + 1 + 4 + 311 + 334 + 3 = 666.

It is not a de Polignac number, because 132403143113343 - 225 = 132403109558911 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132403143113298 and 132403143113307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132403143113743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6603308668 + ... + 6603328718.

It is an arithmetic number, because the mean of its divisors is an integer number (2135385324072).

Almost surely, 2132403143113343 is an apocalyptic number.

132403143113343 is a deficient number, since it is larger than the sum of its proper divisors (72593847997569).

132403143113343 is a wasteful number, since it uses less digits than its factorization.

132403143113343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26467 (or 26455 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 132403143113343 its reverse (343311341304231), we get a palindrome (475714484417574).

The spelling of 132403143113343 in words is "one hundred thirty-two trillion, four hundred three billion, one hundred forty-three million, one hundred thirteen thousand, three hundred forty-three".

Divisors: 1 3 9 27 43 81 101 129 243 303 387 909 1161 2727 3483 4343 6257 8181 10449 13029 18771 20051 24543 39087 56313 60153 117261 168939 180459 269051 351783 506817 541377 631957 807153 862193 1055349 1520451 1624131 1895871 2025151 2421459 2586579 4872393 5687613 6075453 7264377 7759737 17062839 18226359 21793131 23279211 27174151 51188517 54679077 65379393 69837633 81522453 87081493 125459107 153565551 164037231 209512899 244567359 261244479 376377321 492111693 733702077 783733437 1129131963 2201106231 2351200311 3387395889 5394741601 6603318693 7053600933 10162187667 12671369807 16184224803 21160802799 30486563001 38014109421 48552674409 114042328263 145658023227 342126984789 436974069681 544868901701 1026380954367 1310922209043 1634606705103 3079142863101 4903820115309 14711460345927 44134381037781 132403143113343