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23020381440 = 28355797109
BaseRepresentation
bin10101011100000111…
…110010010100000000
32012102022220112200000
4111130013302110000
5334121204201230
614324142400000
71443316004460
oct253407622400
965368815600
1023020381440
119843450331
124565590000
13222b3770a4
1411854b5ba0
158eaed8b60
hex55c1f2500

23020381440 has 864 divisors, whose sum is σ = 96245909760. Its totient is φ = 5159780352.

The previous prime is 23020381429. The next prime is 23020381459. The reversal of 23020381440 is 4418302032.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211196106 + ... + 211196214.

Almost surely, 223020381440 is an apocalyptic number.

23020381440 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 23020381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48122954880).

23020381440 is an abundant number, since it is smaller than the sum of its proper divisors (73225528320).

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

23020381440 is an equidigital number, since it uses as much as digits as its factorization.

23020381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 23020381440 its reverse (4418302032), we get a palindrome (27438683472).

The spelling of 23020381440 in words is "twenty-three billion, twenty million, three hundred eighty-one thousand, four hundred forty".