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2314425451140 = 22325113799731687
BaseRepresentation
bin100001101011011110100…
…000011100001010000100
322012020221021210201112100
4201223132200130022010
5300404420403414030
64531122105352100
7326132422512315
oct41533640341204
98166837721470
102314425451140
118125a6915030
12314674498630
1313a331b84a8a
14800397b660c
154030bd0e360
hex21ade81c284

2314425451140 has 288 divisors, whose sum is σ = 7873772385024. Its totient is φ = 545343943680.

The previous prime is 2314425451111. The next prime is 2314425451153. The reversal of 2314425451140 is 411545244132.

2314425451140 is a `hidden beast` number, since 2 + 3 + 1 + 44 + 25 + 451 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2314425451095 and 2314425451104.

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 95 ways as a sum of consecutive naturals, for example, 73024377 + ... + 73056063.

It is an arithmetic number, because the mean of its divisors is an integer number (27339487448).

Almost surely, 22314425451140 is an apocalyptic number.

2314425451140 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 2314425451140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936886192512).

2314425451140 is an abundant number, since it is smaller than the sum of its proper divisors (5559346933884).

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

2314425451140 is a wasteful number, since it uses less digits than its factorization.

2314425451140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32747 (or 32742 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2314425451140 in words is "two trillion, three hundred fourteen billion, four hundred twenty-five million, four hundred fifty-one thousand, one hundred forty".