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142412443261 = 1123731809793
BaseRepresentation
bin1000010010100001110…
…0010110111001111101
3111121120222010200202121
42010220130112321331
54313130041141021
6145231240522541
713201053536404
oct2045034267175
9447528120677
10142412443261
1155440125500
1223725780451
131057761660a
146c6dbaa63b
153a87904741
hex2128716e7d

142412443261 has 12 divisors (see below), whose sum is σ = 160766698876. Its totient is φ = 125966776320.

The previous prime is 142412443259. The next prime is 142412443279. The reversal of 142412443261 is 162344214241.

142412443261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58144159161 + 84268284100 = 241131^2 + 290290^2 .

It is not a de Polignac number, because 142412443261 - 21 = 142412443259 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142412443861) 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 11 ways as a sum of consecutive naturals, for example, 15900420 + ... + 15909373.

Almost surely, 2142412443261 is an apocalyptic number.

142412443261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142412443261 is a deficient number, since it is larger than the sum of its proper divisors (18354255615).

142412443261 is a wasteful number, since it uses less digits than its factorization.

142412443261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31809852 (or 31809841 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 142412443261 in words is "one hundred forty-two billion, four hundred twelve million, four hundred forty-three thousand, two hundred sixty-one".

Divisors: 1 11 37 121 407 4477 31809793 349907723 1176962341 3848984953 12946585751 142412443261