Base | Representation |
---|---|
bin | 100000010000110010111… |
… | …1010100111011110101000 |
3 | 120200220020011202020200111 |
4 | 1000201211322213132220 |
5 | 1040122032211124334 |
6 | 13233001012544104 |
7 | 635232350045260 |
oct | 100414572473650 |
9 | 16626204666614 |
10 | 4434116114344 |
11 | 145a552a49694 |
12 | 5b7440622034 |
13 | 26219b4b6987 |
14 | 1148804887a0 |
15 | 7a51ca3c064 |
hex | 40865ea77a8 |
4434116114344 has 64 divisors (see below), whose sum is σ = 9659410151040. Its totient is φ = 1868801621760.
The previous prime is 4434116114293. The next prime is 4434116114357.
4434116114344 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×44341161143442 (a number of 26 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 4434116114297 and 4434116114306.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16960522 + ... + 17219974.
It is an arithmetic number, because the mean of its divisors is an integer number (150928283610).
Almost surely, 24434116114344 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 4434116114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829705075520).
4434116114344 is an abundant number, since it is smaller than the sum of its proper divisors (5225294036696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4434116114344 is a wasteful number, since it uses less digits than its factorization.
4434116114344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 264530 (or 264526 counting only the distinct ones).
The product of its digits is 221184, while the sum is 40.
The spelling of 4434116114344 in words is "four trillion, four hundred thirty-four billion, one hundred sixteen million, one hundred fourteen thousand, three hundred forty-four".
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