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232031240000 = 265473372459
BaseRepresentation
bin1101100000011000100…
…0111011111101000000
3211011220122201021022122
43120012020323331000
512300144444140000
6254332122423412
722522643666240
oct3300610737500
9734818637278
10232031240000
118a44964997a
1238b76961b68
1318b5a478b21
14b3321d7b20
156080582085
hex360623bf40

232031240000 has 280 divisors, whose sum is σ = 659776054080. Its totient is φ = 79285248000.

The previous prime is 232031239991. The next prime is 232031240029. The reversal of 232031240000 is 42130232.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 94358771 + ... + 94361229.

Almost surely, 2232031240000 is an apocalyptic number.

232031240000 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 232031240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329888027040).

232031240000 is an abundant number, since it is smaller than the sum of its proper divisors (427744814080).

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

232031240000 is an equidigital number, since it uses as much as digits as its factorization.

232031240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 232031240000 its reverse (42130232), we get a palindrome (232073370232).

The spelling of 232031240000 in words is "two hundred thirty-two billion, thirty-one million, two hundred forty thousand".