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232014501200000 = 2755974959497
BaseRepresentation
bin110100110000010000010101…
…111011010100000010000000
31010102111100222111201221202002
4310300100111323110002000
5220402311144301400000
62141241553532443132
766604331425463111
oct6460202573240200
91112440874657662
10232014501200000
1167a2188535a3a2
1222031b6b0194a8
139c5cb483566bc
1441417c1722208
151bc5369e7c8d5
hexd30415ed4080

232014501200000 has 192 divisors, whose sum is σ = 577802481165000. Its totient is φ = 92794721280000.

The previous prime is 232014501199853. The next prime is 232014501200021. The reversal of 232014501200000 is 2105410232.

It can be written as a sum of positive squares in 12 ways, for example, as 143363840159296 + 88650661040704 = 11973464^2 + 9415448^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3899570252 + ... + 3899629748.

Almost surely, 2232014501200000 is an apocalyptic number.

232014501200000 is a gapful number since it is divisible by the number (20) 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 232014501200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288901240582500).

232014501200000 is an abundant number, since it is smaller than the sum of its proper divisors (345787979965000).

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

232014501200000 is an frugal number, since it uses more digits than its factorization.

232014501200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69285 (or 69253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 232014501200000 its reverse (2105410232), we get a palindrome (232016606610232).

The spelling of 232014501200000 in words is "two hundred thirty-two trillion, fourteen billion, five hundred one million, two hundred thousand".