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425396344320 = 29385193143
BaseRepresentation
bin1100011000010111001…
…10010001011000000000
31111200000121021100000000
412030023212101120000
523432202431004240
6523231400000000
742506501160123
oct6141346213000
91450017240000
10425396344320
11154456167812
126a540460000
133116500620c
141683703c3ba
15b0eb2ab430
hex630b991600

425396344320 has 1440 divisors, whose sum is σ = 1700978273280. Its totient is φ = 101583175680.

The previous prime is 425396344319. The next prime is 425396344349. The reversal of 425396344320 is 23443693524.

425396344320 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 9 + 634 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9892938219 + ... + 9892938261.

It is an arithmetic number, because the mean of its divisors is an integer number (1181234912).

Almost surely, 2425396344320 is an apocalyptic number.

425396344320 is a gapful number since it is divisible by the number (40) 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 425396344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850489136640).

425396344320 is an abundant number, since it is smaller than the sum of its proper divisors (1275581928960).

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

425396344320 is an frugal number, since it uses more digits than its factorization.

425396344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 425396344320 in words is "four hundred twenty-five billion, three hundred ninety-six million, three hundred forty-four thousand, three hundred twenty".