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240113314203120 = 243252919515894249
BaseRepresentation
bin110110100110000110111100…
…110011001000010111110000
31011111011121102201020000020200
4312212012330303020113300
5222433004031413444440
62210402311142235200
7101401420523250501
oct6646067463102760
91144147381200220
10240113314203120
116a564537143376
1222b1b69b125b00
13a3c9785869577
144341791518ba8
151cb5d71d0ec30
hexda61bccc85f0

240113314203120 has 240 divisors, whose sum is σ = 834614483040000. Its totient is φ = 61790580633600.

The previous prime is 240113314203047. The next prime is 240113314203137. The reversal of 240113314203120 is 21302413311042.

240113314203120 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 1 + 331 + 4 + 203 + 120 = 666.

240113314203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37789756 + ... + 43684004.

It is an arithmetic number, because the mean of its divisors is an integer number (3477560346000).

Almost surely, 2240113314203120 is an apocalyptic number.

240113314203120 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 240113314203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417307241520000).

240113314203120 is an abundant number, since it is smaller than the sum of its proper divisors (594501168836880).

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

240113314203120 is a wasteful number, since it uses less digits than its factorization.

240113314203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896248 (or 5896239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 240113314203120 its reverse (21302413311042), we get a palindrome (261415727514162).

The spelling of 240113314203120 in words is "two hundred forty trillion, one hundred thirteen billion, three hundred fourteen million, two hundred three thousand, one hundred twenty".