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32042010000 = 2435471121397
BaseRepresentation
bin11101110101110110…
…100100010110010000
310001201001200202111010
4131311312210112100
51011110223310000
622415255250520
72213013406530
oct356566442620
9101631622433
1032042010000
1112652974400
126262979a40
13303845ab40
14179d71b4c0
15c78038d50
hex775da4590

32042010000 has 1200 divisors, whose sum is σ = 141373645952. Its totient is φ = 6082560000.

The previous prime is 32042009969. The next prime is 32042010029. The reversal of 32042010000 is 1024023.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 330329952 + ... + 330330048.

Almost surely, 232042010000 is an apocalyptic number.

32042010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32042010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70686822976).

32042010000 is an abundant number, since it is smaller than the sum of its proper divisors (109331635952).

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

32042010000 is a wasteful number, since it uses less digits than its factorization.

32042010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 32042010000 its reverse (1024023), we get a palindrome (32043034023).

The spelling of 32042010000 in words is "thirty-two billion, forty-two million, ten thousand".