Base | Representation |
---|---|
bin | 1010100001001011110010… |
… | …10100100111000110100100 |
3 | 10000220020200201221112112100 |
4 | 11100211321110213012210 |
5 | 11012432112142211030 |
6 | 121105550322052100 |
7 | 4605055503600366 |
oct | 520457124470644 |
9 | 100806621845470 |
10 | 23130434335140 |
11 | 740862019a300 |
12 | 27169bb7aa030 |
13 | cba26298bcb2 |
14 | 59d73a1a0d36 |
15 | 2a1a20635360 |
hex | 1509795271a4 |
23130434335140 has 432 divisors, whose sum is σ = 81975136619376. Its totient is φ = 5256975482880.
The previous prime is 23130434335133. The next prime is 23130434335199. The reversal of 23130434335140 is 4153343403132.
23130434335140 is a `hidden beast` number, since 2 + 3 + 1 + 304 + 3 + 4 + 335 + 14 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 4690074572964 + 18440359762176 = 2165658^2 + 4294224^2 .
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 = 23130434335095 and 23130434335104.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95035282 + ... + 95278358.
It is an arithmetic number, because the mean of its divisors is an integer number (189757260693).
Almost surely, 223130434335140 is an apocalyptic number.
23130434335140 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 23130434335140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40987568309688).
23130434335140 is an abundant number, since it is smaller than the sum of its proper divisors (58844702284236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23130434335140 is a wasteful number, since it uses less digits than its factorization.
23130434335140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 243388 (or 243372 counting only the distinct ones).
The product of its (nonzero) digits is 155520, while the sum is 36.
Adding to 23130434335140 its reverse (4153343403132), we get a palindrome (27283777738272).
The spelling of 23130434335140 in words is "twenty-three trillion, one hundred thirty billion, four hundred thirty-four million, three hundred thirty-five thousand, one hundred forty".
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