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132220454414040 = 2332531671011750807
BaseRepresentation
bin11110000100000011111001…
…001101111010011011011000
3122100011011002210201201100200
4132010003321031322123120
5114312244442312222130
61145113123242102200
736564420055622646
oct3604037115723330
9570134083651320
10132220454414040
113914741a59a223
12129b52627aa960
1358a14489c71a5
14249170b502196
1510445565c7760
hex7840f937a6d8

132220454414040 has 384 divisors, whose sum is σ = 454656544542720. Its totient is φ = 33279320448000.

The previous prime is 132220454414023. The next prime is 132220454414053. The reversal of 132220454414040 is 40414454022231.

132220454414040 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 20 + 454 + 4 + 140 + 40 = 666.

132220454414040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132220454413986 and 132220454414004.

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, 74644317 + ... + 76395123.

It is an arithmetic number, because the mean of its divisors is an integer number (1184001418080).

Almost surely, 2132220454414040 is an apocalyptic number.

132220454414040 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 132220454414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227328272271360).

132220454414040 is an abundant number, since it is smaller than the sum of its proper divisors (322436090128680).

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

132220454414040 is a wasteful number, since it uses less digits than its factorization.

132220454414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751023 (or 1751016 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 132220454414040 in words is "one hundred thirty-two trillion, two hundred twenty billion, four hundred fifty-four million, four hundred fourteen thousand, forty".