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2314522678104 = 233373132403091
BaseRepresentation
bin100001101011100100010…
…011010101001101011000
322012021012001202100212000
4201223210103111031120
5300410120301144404
64531135501321000
7326135013105000
oct41534423251530
98167161670760
102314522678104
1181264679209a
123146a0b66160
1313a349067320
1480048685000
1540315617339
hex21ae44d5358

2314522678104 has 256 divisors, whose sum is σ = 8074389120000. Its totient is φ = 610423309440.

The previous prime is 2314522678087. The next prime is 2314522678123. The reversal of 2314522678104 is 4018762254132.

2314522678104 is a `hidden beast` number, since 2 + 3 + 1 + 452 + 26 + 78 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2314522678104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238402 + ... + 2164689.

It is an arithmetic number, because the mean of its divisors is an integer number (31540582500).

Almost surely, 22314522678104 is an apocalyptic number.

2314522678104 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 2314522678104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037194560000).

2314522678104 is an abundant number, since it is smaller than the sum of its proper divisors (5759866441896).

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

2314522678104 is a wasteful number, since it uses less digits than its factorization.

2314522678104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403140 (or 2403116 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2314522678104 in words is "two trillion, three hundred fourteen billion, five hundred twenty-two million, six hundred seventy-eight thousand, one hundred four".