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325143856128 = 210371317312207
BaseRepresentation
bin1001011101101000001…
…01011000010000000000
31011002020211112021001210
410232310011120100000
520311343311344003
6405211413130120
732330240114340
oct4566405302000
91132224467053
10325143856128
11115990259593
1253022029940
13248790c26a0
1411a46654d20
1586cecea503
hex4bb4158400

325143856128 has 704 divisors, whose sum is σ = 1166319157248. Its totient is φ = 78069104640.

The previous prime is 325143856123. The next prime is 325143856153. The reversal of 325143856128 is 821658341523.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (325143856123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147322801 + ... + 147325007.

Almost surely, 2325143856128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325143856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583159578624).

325143856128 is an abundant number, since it is smaller than the sum of its proper divisors (841175301120).

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

325143856128 is a wasteful number, since it uses less digits than its factorization.

325143856128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2280 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The spelling of 325143856128 in words is "three hundred twenty-five billion, one hundred forty-three million, eight hundred fifty-six thousand, one hundred twenty-eight".