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32144134212 = 22321735161229
BaseRepresentation
bin11101111011111100…
…001001000001000100
310001222011212012120100
4131323330021001010
51011312344243322
622433344204100
72215363430001
oct357374110104
9101864765510
1032144134212
11126a5586883
126291009630
133053666478
1417ad1028a8
15c81eacdac
hex77bf09044

32144134212 has 36 divisors (see below), whose sum is σ = 81722915820. Its totient is φ = 10652774592.

The previous prime is 32144134181. The next prime is 32144134249. The reversal of 32144134212 is 21243144123.

32144134212 is a `hidden beast` number, since 3 + 2 + 1 + 441 + 3 + 4 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15551087616 + 16593046596 = 124704^2 + 128814^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2574387 + ... + 2586842.

It is an arithmetic number, because the mean of its divisors is an integer number (2270080995).

Almost surely, 232144134212 is an apocalyptic number.

It is an amenable number.

32144134212 is an abundant number, since it is smaller than the sum of its proper divisors (49578781608).

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

32144134212 is a wasteful number, since it uses less digits than its factorization.

32144134212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161412 (or 5161407 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 32144134212 its reverse (21243144123), we get a palindrome (53387278335).

The spelling of 32144134212 in words is "thirty-two billion, one hundred forty-four million, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 5161229 10322458 15483687 20644916 30967374 46451061 61934748 92902122 185804244 892892617 1785785234 2678677851 3571570468 5357355702 8036033553 10714711404 16072067106 32144134212