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142132534310431 = 721910311031343789
BaseRepresentation
bin100000010100010011001111…
…001101111111011000011111
3200122020201220200202221112101
4200110103033031333120133
5122112144412240413211
61222142441310145531
741636510461610500
oct4024231715773037
9618221820687471
10142132534310431
114131908425a095
1213b362a21b22a7
13614006abcc962
142715373a68ba7
1511672d7a845c1
hex8144cf37f61f

142132534310431 has 48 divisors (see below), whose sum is σ = 175888995609600. Its totient is φ = 114191642642112.

The previous prime is 142132534310411. The next prime is 142132534310449. The reversal of 142132534310431 is 134013435231241.

It is not a de Polignac number, because 142132534310431 - 215 = 142132534277663 is a prime.

It is a super-3 number, since 3×1421325343104313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142132534310411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105098085 + ... + 106441873.

It is an arithmetic number, because the mean of its divisors is an integer number (3664354075200).

Almost surely, 2142132534310431 is an apocalyptic number.

142132534310431 is a deficient number, since it is larger than the sum of its proper divisors (33756461299169).

142132534310431 is a wasteful number, since it uses less digits than its factorization.

142132534310431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345028 (or 1345021 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 142132534310431 its reverse (134013435231241), we get a palindrome (276145969541672).

The spelling of 142132534310431 in words is "one hundred forty-two trillion, one hundred thirty-two billion, five hundred thirty-four million, three hundred ten thousand, four hundred thirty-one".

Divisors: 1 7 19 49 103 133 721 931 1103 1957 5047 7721 13699 20957 54047 95893 113609 146699 795263 1026893 1343789 2158571 5566841 9406523 15109997 25531991 65845661 105769979 138410267 178723937 968871869 1251067559 1482199267 2629795073 6782103083 10375394869 18408565511 28161786073 72627764083 128859958577 152666524501 197132502511 1068665671507 1379927517577 2900663965519 7480659700549 20304647758633 142132534310431