Base | Representation |
---|---|
bin | 1010100110000101111111… |
… | …00000100000000000000000 |
3 | 10001111101002102110200200000 |
4 | 11103002333200200000000 |
5 | 11023213042042101230 |
6 | 121315244350400000 |
7 | 4623206542536516 |
oct | 523027740400000 |
9 | 101441072420600 |
10 | 23299115581440 |
11 | 7473110380286 |
12 | 2743636800000 |
13 | 100013564303a |
14 | 5a797ca344b6 |
15 | 2a60e42d8b60 |
hex | 1530bf820000 |
23299115581440 has 864 divisors, whose sum is σ = 87416981398656. Its totient is φ = 5942028533760.
The previous prime is 23299115581411. The next prime is 23299115581447. The reversal of 23299115581440 is 4418551199232.
23299115581440 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 9 + 1 + 15 + 581 + 4 + 40 = 666.
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 (54).
It is not an unprimeable number, because it can be changed into a prime (23299115581447) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3662803860 + ... + 3662810220.
It is an arithmetic number, because the mean of its divisors is an integer number (101177061804).
Almost surely, 223299115581440 is an apocalyptic number.
23299115581440 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 23299115581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43708490699328).
23299115581440 is an abundant number, since it is smaller than the sum of its proper divisors (64117865817216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23299115581440 is an frugal number, since it uses more digits than its factorization.
23299115581440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6438 (or 6394 counting only the distinct ones).
The product of its (nonzero) digits is 3110400, while the sum is 54.
The spelling of 23299115581440 in words is "twenty-three trillion, two hundred ninety-nine billion, one hundred fifteen million, five hundred eighty-one thousand, four hundred forty".
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