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23120304430440 = 23357214563270001
BaseRepresentation
bin1010100000111000111011…
…00010000101110101101000
310000212021112202202001122210
411100130131202011311220
511012300340413233230
6121101153215045120
74604246461042500
oct520343542056550
9100767482661583
1023120304430440
1174042a2118a38
122714a532107a0
13cb930a0ba549
1459d058aa4a00
152a162b166eb0
hex15071d885d68

23120304430440 has 192 divisors, whose sum is σ = 80690983306560. Its totient is φ = 5284258560000.

The previous prime is 23120304430397. The next prime is 23120304430463. The reversal of 23120304430440 is 4403440302132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23120304430398 and 23120304430407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85495440 + ... + 85765440.

It is an arithmetic number, because the mean of its divisors is an integer number (420265538055).

Almost surely, 223120304430440 is an apocalyptic number.

23120304430440 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 23120304430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40345491653280).

23120304430440 is an abundant number, since it is smaller than the sum of its proper divisors (57570678876120).

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

23120304430440 is a wasteful number, since it uses less digits than its factorization.

23120304430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284592 (or 284581 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 23120304430440 its reverse (4403440302132), we get a palindrome (27523744732572).

The spelling of 23120304430440 in words is "twenty-three trillion, one hundred twenty billion, three hundred four million, four hundred thirty thousand, four hundred forty".