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132439441106880 = 26385371704887
BaseRepresentation
bin11110000111001111110101…
…110101110110011111000000
3122100221002100100211100000000
4132013033311311312133000
5114324341433410410010
61145401501143000000
736616301546040405
oct3607176565663700
9570832310740000
10132439441106880
11392212848a7806
1212a2b798a39000
1358b8ca77a4b4b
14249c1630962ac
15104a0c18587c0
hex7873f5d767c0

132439441106880 has 504 divisors, whose sum is σ = 485818058108448. Its totient is φ = 34362645645312.

The previous prime is 132439441106809. The next prime is 132439441106881. The reversal of 132439441106880 is 88601144934231.

132439441106880 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 3 + 94 + 411 + 0 + 68 + 80 = 666.

It is a super-4 number, since 4×1324394411068804 (a number of 58 digits) contains 4444 as substring.

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 (132439441106881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76829797 + ... + 78534683.

Almost surely, 2132439441106880 is an apocalyptic number.

132439441106880 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 132439441106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242909029054224).

132439441106880 is an abundant number, since it is smaller than the sum of its proper divisors (353378617001568).

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

132439441106880 is an frugal number, since it uses more digits than its factorization.

132439441106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704965 (or 1704934 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 132439441106880 in words is "one hundred thirty-two trillion, four hundred thirty-nine billion, four hundred forty-one million, one hundred six thousand, eight hundred eighty".