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142444056504 = 23323823313549
BaseRepresentation
bin1000010010101001010…
…0111100111110111000
3111121200011121210222110
42010222110330332320
54313211134302004
6145234330252320
713201616334321
oct2045224747670
9447604553873
10142444056504
1155456a57a52
12237342870a0
1310581034989
146c74079448
153a8a59b589
hex212a53cfb8

142444056504 has 64 divisors (see below), whose sum is σ = 372045888000. Its totient is φ = 45361616256.

The previous prime is 142444056479. The next prime is 142444056553. The reversal of 142444056504 is 405650444241.

142444056504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 297522 + ... + 611070.

It is an arithmetic number, because the mean of its divisors is an integer number (5813217000).

Almost surely, 2142444056504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142444056504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186022944000).

142444056504 is an abundant number, since it is smaller than the sum of its proper divisors (229601831496).

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

142444056504 is a wasteful number, since it uses less digits than its factorization.

142444056504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314404 (or 314400 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 142444056504 in words is "one hundred forty-two billion, four hundred forty-four million, fifty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 823 1646 2469 3292 4938 6584 9876 18929 19752 37858 56787 75716 113574 151432 227148 313549 454296 627098 940647 1254196 1881294 2508392 3762588 7211627 7525176 14423254 21634881 28846508 43269762 57693016 86539524 173079048 258050827 516101654 774152481 1032203308 1548304962 2064406616 3096609924 5935169021 6193219848 11870338042 17805507063 23740676084 35611014126 47481352168 71222028252 142444056504