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32142422424123 = 32112413391139727
BaseRepresentation
bin1110100111011101111011…
…01010111011101000111011
311012210210012200110101101100
413103232331222323220323
513203110140120032443
6152210005223022443
76525133122463464
oct723567552735073
9135723180411340
1032142422424123
11a272585564090
12373150029aa23
1314c202c3a2b5b
147d19b7083d6b
153ab1714cd3d3
hex1d3bbdabba3b

32142422424123 has 48 divisors (see below), whose sum is σ = 50861606095872. Its totient is φ = 19398364704000.

The previous prime is 32142422424103. The next prime is 32142422424139.

32142422424123 is a `hidden beast` number, since 3 + 2 + 1 + 424 + 224 + 2 + 4 + 1 + 2 + 3 = 666.

32142422424123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32142422424123 - 218 = 32142422161979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32142422424103) 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, 809062686 + ... + 809102412.

It is an arithmetic number, because the mean of its divisors is an integer number (1059616793664).

Almost surely, 232142422424123 is an apocalyptic number.

32142422424123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32142422424123 is a deficient number, since it is larger than the sum of its proper divisors (18719183671749).

32142422424123 is a wasteful number, since it uses less digits than its factorization.

32142422424123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73896 (or 73893 counting only the distinct ones).

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

It can be divided in two parts, 3214242 and 2424123, that added together give a palindrome (5638365).

The spelling of 32142422424123 in words is "thirty-two trillion, one hundred forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 241 723 2169 2651 7953 23859 33911 39727 101733 119181 305199 357543 373021 436997 1119063 1310991 3357189 3932973 8172551 9574207 24517653 28722621 73552959 86167863 89898061 105316277 269694183 315948831 809082549 947846493 1347182297 4041546891 12124640673 14819005267 44457015801 133371047403 324670933577 974012800731 2922038402193 3571380269347 10714140808041 32142422424123