| Base | Representation |
|---|---|
| bin | 10011000100010100111011… |
| … | …01100000000000000000000 |
| 3 | 12111110110221220021010010000 |
| 4 | 21202022131230000000000 |
| 5 | 20443440334233111200 |
| 6 | 225102232435040000 |
| 7 | 11555231240645400 |
| oct | 1142123554000000 |
| 9 | 174413856233100 |
| 10 | 41930116300800 |
| 11 | 123a650a599352 |
| 12 | 4852407140000 |
| 13 | 1a51cba814720 |
| 14 | a4d5dd988800 |
| 15 | 4caa7290d300 |
| hex | 26229db00000 |
41930116300800 has 3780 divisors, whose sum is σ = 200876732607936. Its totient is φ = 8561413324800.
The previous prime is 41930116300781. The next prime is 41930116300819. The reversal of 41930116300800 is 800361103914.
41930116300800 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 0 + 11 + 630 + 0 + 8 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (41930116300781) and next prime (41930116300819).
It is a tau number, because it is divible by the number of its divisors (3780).
It is a super-2 number, since 2×419301163008002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1352584396785 + ... + 1352584396815.
Almost surely, 241930116300800 is an apocalyptic number.
41930116300800 is a gapful number since it is divisible by the number (40) 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 41930116300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100438366303968).
41930116300800 is an abundant number, since it is smaller than the sum of its proper divisors (158946616307136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41930116300800 is an frugal number, since it uses more digits than its factorization.
41930116300800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120 (or 61 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The spelling of 41930116300800 in words is "forty-one trillion, nine hundred thirty billion, one hundred sixteen million, three hundred thousand, eight hundred".
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