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142465513140 = 22325791475073
BaseRepresentation
bin1000010010101110011…
…0110011011010110100
3111121201122222220221200
42010223212303122310
54313232132410030
6145240414212500
713202266611156
oct2045346633264
9447648886850
10142465513140
1155468082705
122373b4b4130
1310585608102
146c76c62ad6
153a8c3d8d60
hex212b9b36b4

142465513140 has 36 divisors (see below), whose sum is σ = 432145390404. Its totient is φ = 37990803456.

The previous prime is 142465513121. The next prime is 142465513171. The reversal of 142465513140 is 41315564241.

142465513140 is a `hidden beast` number, since 1 + 4 + 2 + 465 + 51 + 3 + 140 = 666.

142465513140 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 82206064656 + 60259448484 = 286716^2 + 245478^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142465513095 and 142465513104.

It is a congruent number.

It is an unprimeable number.

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, 395737357 + ... + 395737716.

Almost surely, 2142465513140 is an apocalyptic number.

142465513140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142465513140 is an abundant number, since it is smaller than the sum of its proper divisors (289679877264).

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

142465513140 is a wasteful number, since it uses less digits than its factorization.

142465513140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791475088 (or 791475083 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 142465513140 in words is "one hundred forty-two billion, four hundred sixty-five million, five hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 791475073 1582950146 2374425219 3165900292 3957375365 4748850438 7123275657 7914750730 9497700876 11872126095 14246551314 15829501460 23744252190 28493102628 35616378285 47488504380 71232756570 142465513140