Base | Representation |
---|---|
bin | 1010111011110110011001… |
… | …1101100111101010000000 |
3 | 1120120102022201022000120112 |
4 | 2232331212131213222000 |
5 | 3033442241110032034 |
6 | 41323235342330452 |
7 | 2350441250011055 |
oct | 256754635475200 |
9 | 46512281260515 |
10 | 12023332502144 |
11 | 3916080828027 |
12 | 1422251889a28 |
13 | 692a45619682 |
14 | 2d7d0a70102c |
15 | 15cb4b50e7ce |
hex | aef66767a80 |
12023332502144 has 64 divisors (see below), whose sum is σ = 24467990112000. Its totient is φ = 5882405575680.
The previous prime is 12023332502099. The next prime is 12023332502149. The reversal of 12023332502144 is 44120523332021.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×120233325021442 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 12023332502144.
It is not an unprimeable number, because it can be changed into a prime (12023332502149) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26188682 + ... + 26643830.
It is an arithmetic number, because the mean of its divisors is an integer number (382312345500).
Almost surely, 212023332502144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12023332502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233995056000).
12023332502144 is an abundant number, since it is smaller than the sum of its proper divisors (12444657609856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12023332502144 is an equidigital number, since it uses as much as digits as its factorization.
12023332502144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 459601 (or 459589 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 32.
Adding to 12023332502144 its reverse (44120523332021), we get a palindrome (56143855834165).
The spelling of 12023332502144 in words is "twelve trillion, twenty-three billion, three hundred thirty-two million, five hundred two thousand, one hundred forty-four".
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