Search a number
-
+
132239278080 = 21435571373
BaseRepresentation
bin111101100101000010…
…0110100000000000000
3110122022222112100200000
41323022010310000000
54131311223344310
6140425550400000
712361004213610
oct1731204640000
9418288470600
10132239278080
115109a696978
1221766800000
13c615aa9250
146586a4ca40
15368e73d4c0
hex1eca134000

132239278080 has 1440 divisors, whose sum is σ = 593115204864. Its totient is φ = 27518828544.

The previous prime is 132239278063. The next prime is 132239278121. The reversal of 132239278080 is 80872932231.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1811496924 + ... + 1811496996.

Almost surely, 2132239278080 is an apocalyptic number.

132239278080 is a gapful number since it is divisible by the number (10) 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 132239278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296557602432).

132239278080 is an abundant number, since it is smaller than the sum of its proper divisors (460875926784).

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

132239278080 is an frugal number, since it uses more digits than its factorization.

132239278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 132239278080 in words is "one hundred thirty-two billion, two hundred thirty-nine million, two hundred seventy-eight thousand, eighty".