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32142394089 = 3213245972
BaseRepresentation
bin11101111011110101…
…100000001011101001
310001222001120210120100
4131323311200023221
51011311423102324
622433243020013
72215342561521
oct357365401351
9101861523510
1032142394089
11126a45a8463
12629050a609
1330531a7400
1417acbac681
15c81c674c9
hex77bd602e9

32142394089 has 27 divisors (see below), whose sum is σ = 50284939653. Its totient is φ = 19775632032.

The previous prime is 32142394079. The next prime is 32142394103. The reversal of 32142394089 is 98049324123.

The square root of 32142394089 is 179283.

It is a perfect power (a square), and thus also a powerful number.

32142394089 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 239 + 408 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19848019689 + 12294374400 = 140883^2 + 110880^2 .

It is not a de Polignac number, because 32142394089 - 27 = 32142393961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32142394049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6989739 + ... + 6994335.

Almost surely, 232142394089 is an apocalyptic number.

32142394089 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

32142394089 is the 179283-rd square number.

32142394089 is the 89642-nd centered octagonal number.

It is an amenable number.

32142394089 is a deficient number, since it is larger than the sum of its proper divisors (18142545564).

32142394089 is an frugal number, since it uses more digits than its factorization.

32142394089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 32142394089 in words is "thirty-two billion, one hundred forty-two million, three hundred ninety-four thousand, eighty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 4597 13791 41373 59761 179283 537849 776893 2330679 6992037 21132409 63397227 190191681 274721317 824163951 2472491853 3571377121 10714131363 32142394089