Search a number
-
+
132042998880 = 25345132192167
BaseRepresentation
bin111101011111001100…
…0000100010001100000
3110121211022012100020000
41322332120010101200
54130411001431010
6140354255420000
712353101654212
oct1727630042140
9417738170200
10132042998880
1150aa9915461
1221710b24600
13c5b4225700
1465689585b2
15367c3bb7c0
hex1ebe604460

132042998880 has 1080 divisors, whose sum is σ = 535750416432. Its totient is φ = 30607828992.

The previous prime is 132042998851. The next prime is 132042998881. The reversal of 132042998880 is 88899240231.

132042998880 is a `hidden beast` number, since 132 + 0 + 429 + 9 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132042998881) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 790676557 + ... + 790676723.

Almost surely, 2132042998880 is an apocalyptic number.

132042998880 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 132042998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267875208216).

132042998880 is an abundant number, since it is smaller than the sum of its proper divisors (403707417552).

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

132042998880 is a wasteful number, since it uses less digits than its factorization.

132042998880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 132042998880 in words is "one hundred thirty-two billion, forty-two million, nine hundred ninety-eight thousand, eight hundred eighty".