Base | Representation |
---|---|
bin | 1010011110000110000111… |
… | …00011010100000000000000 |
3 | 10000112002202102212011100000 |
4 | 11033003003203110000000 |
5 | 11004212234203130030 |
6 | 120545115301200000 |
7 | 4564310516551134 |
oct | 517030343240000 |
9 | 100462672764300 |
10 | 23024305520640 |
11 | 737760a251156 |
12 | 26ba321400000 |
13 | cb024b4c17c8 |
14 | 59854d19d3c4 |
15 | 29ddad31a860 |
hex | 14f0c38d4000 |
23024305520640 has 1440 divisors, whose sum is σ = 85480725133440. Its totient is φ = 5942538141696.
The previous prime is 23024305520627. The next prime is 23024305520663. The reversal of 23024305520640 is 4602550342032.
23024305520640 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 4 + 3 + 0 + 5 + 5 + 2 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23024305520595 and 23024305520604.
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, 146651627442 + ... + 146651627598.
It is an arithmetic number, because the mean of its divisors is an integer number (59361614676).
Almost surely, 223024305520640 is an apocalyptic number.
23024305520640 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 23024305520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42740362566720).
23024305520640 is an abundant number, since it is smaller than the sum of its proper divisors (62456419612800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23024305520640 is an equidigital number, since it uses as much as digits as its factorization.
23024305520640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 397 (or 359 counting only the distinct ones).
The product of its (nonzero) digits is 172800, while the sum is 36.
Adding to 23024305520640 its reverse (4602550342032), we get a palindrome (27626855862672).
The spelling of 23024305520640 in words is "twenty-three trillion, twenty-four billion, three hundred five million, five hundred twenty thousand, six hundred forty".
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