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23085614440 = 235717311011549
BaseRepresentation
bin10101100000000000…
…101000010101101000
32012120212122201112001
4111200000220111220
5334234404130230
614334432500344
71445040325240
oct254000502550
965525581461
1023085614440
1198772558a9
1245833aa6b4
13223ba36bb5
141190016b20
15901ac20ca
hex560028568

23085614440 has 256 divisors, whose sum is σ = 65567232000. Its totient is φ = 7133184000.

The previous prime is 23085614413. The next prime is 23085614467. The reversal of 23085614440 is 4441658032.

It is an interprime number because it is at equal distance from previous prime (23085614413) and next prime (23085614467).

It is a self number, because there is not a number n which added to its sum of digits gives 23085614440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14902786 + ... + 14904334.

It is an arithmetic number, because the mean of its divisors is an integer number (256122000).

Almost surely, 223085614440 is an apocalyptic number.

23085614440 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 23085614440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32783616000).

23085614440 is an abundant number, since it is smaller than the sum of its proper divisors (42481617560).

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

23085614440 is a wasteful number, since it uses less digits than its factorization.

23085614440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 23085614440 in words is "twenty-three billion, eighty-five million, six hundred fourteen thousand, four hundred forty".