Base | Representation |
---|---|
bin | 1010101000011001101100… |
… | …01001110101100100000000 |
3 | 10001202221202222100000000000 |
4 | 11110030312021311210000 |
5 | 11031012443334243410 |
6 | 121415521300000000 |
7 | 4632014634216420 |
oct | 524146611654400 |
9 | 101687688300000 |
10 | 23378415540480 |
11 | 74a380410a210 |
12 | 2756a88090000 |
13 | 1007762722c20 |
14 | 5ab742824480 |
15 | 2a81d60c7dc0 |
hex | 154336275900 |
23378415540480 has 3456 divisors, whose sum is σ = 113875160555520. Its totient is φ = 4440635965440.
The previous prime is 23378415540463. The next prime is 23378415540503. The reversal of 23378415540480 is 8404551487332.
23378415540480 is a `hidden beast` number, since 2 + 3 + 3 + 7 + 8 + 4 + 1 + 554 + 0 + 4 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 226974908109 + ... + 226974908211.
Almost surely, 223378415540480 is an apocalyptic number.
23378415540480 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 23378415540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56937580277760).
23378415540480 is an abundant number, since it is smaller than the sum of its proper divisors (90496745015040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23378415540480 is an equidigital number, since it uses as much as digits as its factorization.
23378415540480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 188 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 12902400, while the sum is 54.
The spelling of 23378415540480 in words is "twenty-three trillion, three hundred seventy-eight billion, four hundred fifteen million, five hundred forty thousand, four hundred eighty".
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