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32042000000 = 275637433
BaseRepresentation
bin11101110101110110…
…100001111010000000
310001201001200020202202
4131311312201322000
51011110223000000
622415255132332
72213013335423
oct356566417200
9101631606682
1032042000000
111265296793a
1262629740a8
13303845641a
14179d7179ba
15c78035dd5
hex775da1e80

32042000000 has 224 divisors, whose sum is σ = 82136839260. Its totient is φ = 12441600000.

The previous prime is 32041999999. The next prime is 32042000041. The reversal of 32042000000 is 24023.

It can be written as a sum of positive squares in 14 ways, for example, as 27953164864 + 4088835136 = 167192^2 + 63944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 73999784 + ... + 74000216.

Almost surely, 232042000000 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 32042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41068419630).

32042000000 is an abundant number, since it is smaller than the sum of its proper divisors (50094839260).

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

32042000000 is an frugal number, since it uses more digits than its factorization.

32042000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 32042000000 its reverse (24023), we get a palindrome (32042024023).

The spelling of 32042000000 in words is "thirty-two billion, forty-two million", and thus it is an aban number, an eban number, and an uban number.