| Base | Representation |
|---|---|
| bin | 110100010001000100… |
| … | …1001010100000000000 |
| 3 | 101201201100002020010000 |
| 4 | 1220202021022200000 |
| 5 | 3314332421233334 |
| 6 | 123321355040000 |
| 7 | 11052314031360 |
| oct | 1504211124000 |
| 9 | 351640066100 |
| 10 | 112241977344 |
| 11 | 43668740952 |
| 12 | 19905740000 |
| 13 | a779b38113 |
| 14 | 560ac6a9a0 |
| 15 | 2dbdd57299 |
| hex | 1a2224a800 |
112241977344 has 480 divisors, whose sum is σ = 386153127360. Its totient is φ = 31818645504.
The previous prime is 112241977343. The next prime is 112241977417. The reversal of 112241977344 is 443779142211.
112241977344 is a `hidden beast` number, since 1 + 1 + 224 + 19 + 77 + 344 = 666.
It is a super-2 number, since 2×1122419773442 (a number of 23 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (338688) is a multiple of the sum of its prime divisors (768).
It is a self number, because there is not a number n which added to its sum of digits gives 112241977344.
It is not an unprimeable number, because it can be changed into a prime (112241977343) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 189277912 + ... + 189278504.
It is an arithmetic number, because the mean of its divisors is an integer number (804485682).
Almost surely, 2112241977344 is an apocalyptic number.
112241977344 is a gapful number since it is divisible by the number (14) 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 112241977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193076563680).
112241977344 is an abundant number, since it is smaller than the sum of its proper divisors (273911150016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112241977344 is an equidigital number, since it uses as much as digits as its factorization.
112241977344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 797 (or 768 counting only the distinct ones).
The product of its digits is 338688, while the sum is 45.
The spelling of 112241977344 in words is "one hundred twelve billion, two hundred forty-one million, nine hundred seventy-seven thousand, three hundred forty-four".
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