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231241344000000 = 2133561735423
BaseRepresentation
bin110100100101000000010010…
…001010101010000000000000
31010022202110022212001201221020
4310211000102022222000000
5220302124233031000000
62135450450142425440
766464431033636155
oct6445002212520000
91108673285051836
10231241344000000
11677539a3269634
1221b28156292280
139c04c7163a749
1441161d839c22c
151bb01b851cba0
hexd250122aa000

231241344000000 has 784 divisors, whose sum is σ = 816108698674944. Its totient is φ = 58035404800000.

The previous prime is 231241343999959. The next prime is 231241344000001. The reversal of 231241344000000 is 443142132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (231241344000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6527982289 + ... + 6528017711.

Almost surely, 2231241344000000 is an apocalyptic number.

231241344000000 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 231241344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408054349337472).

231241344000000 is an abundant number, since it is smaller than the sum of its proper divisors (584867354674944).

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

231241344000000 is an frugal number, since it uses more digits than its factorization.

231241344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35499 (or 35450 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 231241344000000 its reverse (443142132), we get a palindrome (231241787142132).

The spelling of 231241344000000 in words is "two hundred thirty-one trillion, two hundred forty-one billion, three hundred forty-four million", and thus it is an aban number.