Base | Representation |
---|---|
bin | 1010100001100110011011… |
… | …00000010100110100000000 |
3 | 10000221121121010202112120200 |
4 | 11100303031200110310000 |
5 | 11013200402242001414 |
6 | 121120313134005200 |
7 | 4606103011360650 |
oct | 520631540246400 |
9 | 100847533675520 |
10 | 23144731593984 |
11 | 741369766a500 |
12 | 271972b946800 |
13 | cbb700a49080 |
14 | 5a02d4d36360 |
15 | 2a20aa8d5109 |
hex | 150ccd814d00 |
23144731593984 has 2592 divisors, whose sum is σ = 94449736093440. Its totient is φ = 5297374494720.
The previous prime is 23144731593967. The next prime is 23144731594081. The reversal of 23144731593984 is 48939513744132.
23144731593984 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 4 + 7 + 31 + 593 + 9 + 8 + 4 = 666.
It is a super-2 number, since 2×231447315939842 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119920888992 + ... + 119920889184.
Almost surely, 223144731593984 is an apocalyptic number.
23144731593984 is a gapful number since it is divisible by the number (24) 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 23144731593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47224868046720).
23144731593984 is an abundant number, since it is smaller than the sum of its proper divisors (71305004499456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23144731593984 is a wasteful number, since it uses less digits than its factorization.
23144731593984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 449 (or 421 counting only the distinct ones).
The product of its digits is 78382080, while the sum is 63.
The spelling of 23144731593984 in words is "twenty-three trillion, one hundred forty-four billion, seven hundred thirty-one million, five hundred ninety-three thousand, nine hundred eighty-four".
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