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325098023040 = 27345717151349
BaseRepresentation
bin1001011101100010101…
…10100010100010000000
31011002010122021200220000
410232301112202202000
520311300043214130
6405203054520000
732326142413230
oct4566126424200
91132118250800
10325098023040
111159673a44aa
125300a806000
132486c765b0b
1411a40523cc0
1586cac95260
hex4bb15a2880

325098023040 has 1280 divisors, whose sum is σ = 1418243904000. Its totient is φ = 69274828800.

The previous prime is 325098023027. The next prime is 325098023077. The reversal of 325098023040 is 40320890523.

325098023040 is a `hidden beast` number, since 3 + 2 + 509 + 80 + 2 + 30 + 40 = 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 = 325098022986 and 325098023004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 931512786 + ... + 931513134.

It is an arithmetic number, because the mean of its divisors is an integer number (1108003050).

Almost surely, 2325098023040 is an apocalyptic number.

325098023040 is a gapful number since it is divisible by the number (30) 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 325098023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709121952000).

325098023040 is an abundant number, since it is smaller than the sum of its proper divisors (1093145880960).

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

325098023040 is a wasteful number, since it uses less digits than its factorization.

325098023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 325098023040 in words is "three hundred twenty-five billion, ninety-eight million, twenty-three thousand, forty".