Base | Representation |
---|---|
bin | 100000000000111110100… |
… | …0010110110010110111100 |
3 | 120120122112121222212021010 |
4 | 1000001331002312112330 |
5 | 1034042443432110134 |
6 | 13205222021235220 |
7 | 632620452242505 |
oct | 100017502662674 |
9 | 16518477885233 |
10 | 4400144410044 |
11 | 14470aa898409 |
12 | 5b093b562b10 |
13 | 25bc163294b6 |
14 | 112d7a773bac |
15 | 796d03cbce9 |
hex | 4007d0b65bc |
4400144410044 has 48 divisors (see below), whose sum is σ = 10280931816960. Its totient is φ = 1464725514240.
The previous prime is 4400144410037. The next prime is 4400144410049.
4400144410044 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×44001444100442 (a number of 26 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 4400144409993 and 4400144410020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4400144410049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95730172 + ... + 95776124.
It is an arithmetic number, because the mean of its divisors is an integer number (214186079520).
Almost surely, 24400144410044 is an apocalyptic number.
It is an amenable number.
4400144410044 is an abundant number, since it is smaller than the sum of its proper divisors (5880787406916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4400144410044 is a wasteful number, since it uses less digits than its factorization.
4400144410044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56610 (or 56608 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 30.
The spelling of 4400144410044 in words is "four trillion, four hundred billion, one hundred forty-four million, four hundred ten thousand, forty-four".
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