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10142444322324 = 223444867697703
BaseRepresentation
bin1001001110010111100011…
…0010100111111000010100
31022220121102101100120110000
42103211320302213320110
52312133211221303244
633323212525131300
72064524140166616
oct223457062477024
938817371316400
1010142444322324
113260428452756
1211798100b9b30
13587575254192
14270c7b236db6
15128c65543169
hex93978ca7e14

10142444322324 has 60 divisors (see below), whose sum is σ = 26514981861984. Its totient is φ = 3380734576656.

The previous prime is 10142444322253. The next prime is 10142444322337. The reversal of 10142444322324 is 42322344424101.

10142444322324 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 4 + 4 + 4 + 322 + 324 = 666.

10142444322324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14188057 + ... + 14885759.

Almost surely, 210142444322324 is an apocalyptic number.

It is an amenable number.

10142444322324 is an abundant number, since it is smaller than the sum of its proper divisors (16372537539660).

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

10142444322324 is a wasteful number, since it uses less digits than its factorization.

10142444322324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742586 (or 742575 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10142444322324 its reverse (42322344424101), we get a palindrome (52464788746425).

The spelling of 10142444322324 in words is "ten trillion, one hundred forty-two billion, four hundred forty-four million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 44867 89734 134601 179468 269202 403803 538404 697703 807606 1211409 1395406 1615212 2093109 2422818 2790812 3634227 4186218 4845636 6279327 7268454 8372436 12558654 14536908 18837981 25117308 37675962 56513943 75351924 113027886 226055772 31303840501 62607681002 93911521503 125215362004 187823043006 281734564509 375646086012 563469129018 845203693527 1126938258036 1690407387054 2535611080581 3380814774108 5071222161162 10142444322324