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2343159412704 = 253511219131071
BaseRepresentation
bin100010000110001111001…
…011110011011111100000
322022000002210211012200000
4202012033023303133200
5301342242302201304
64552233234100000
7331200450246105
oct42061713633740
98260083735600
102343159412704
11823801447700
1231a15341a600
1313cc60b730b6
14815a3a20aac
1540e3e705939
hex2218f2f37e0

2343159412704 has 432 divisors, whose sum is σ = 7995276656640. Its totient is φ = 672672211200.

The previous prime is 2343159412691. The next prime is 2343159412709. The reversal of 2343159412704 is 4072149513432.

2343159412704 is a `hidden beast` number, since 2 + 3 + 4 + 31 + 594 + 1 + 27 + 0 + 4 = 666.

2343159412704 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 (432).

It is a self number, because there is not a number n which added to its sum of digits gives 2343159412704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343159412709) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17811489 + ... + 17942559.

Almost surely, 22343159412704 is an apocalyptic number.

2343159412704 is a gapful number since it is divisible by the number (24) 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 2343159412704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997638328320).

2343159412704 is an abundant number, since it is smaller than the sum of its proper divisors (5652117243936).

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

2343159412704 is a wasteful number, since it uses less digits than its factorization.

2343159412704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131137 (or 131106 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2343159412704 in words is "two trillion, three hundred forty-three billion, one hundred fifty-nine million, four hundred twelve thousand, seven hundred four".