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132231451441200 = 24352971816276293
BaseRepresentation
bin11110000100001110001000…
…101100001111100000110000
3122100012012111012120120121220
4132010032020230033200300
5114312440003032104300
61145122142402345040
736565256431044426
oct3604161054174060
9570165435516556
10132231451441200
1139151053087521
12129b741165b180
1358a24ac120657
142492071c3b116
15104499bc7ada0
hex784388b0f830

132231451441200 has 240 divisors, whose sum is σ = 430312658289696. Its totient is φ = 34705384243200.

The previous prime is 132231451441189. The next prime is 132231451441249. The reversal of 132231451441200 is 2144154132231.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17930254 + ... + 24206546.

Almost surely, 2132231451441200 is an apocalyptic number.

132231451441200 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 132231451441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215156329144848).

132231451441200 is an abundant number, since it is smaller than the sum of its proper divisors (298081206848496).

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

132231451441200 is a wasteful number, since it uses less digits than its factorization.

132231451441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276592 (or 6276581 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 132231451441200 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, four hundred fifty-one million, four hundred forty-one thousand, two hundred".