| Base | Representation |
|---|---|
| bin | 10100000100011000101010… |
| … | …01010110001101111111000 |
| 3 | 12210020220012022101221001100 |
| 4 | 22002030111022301233320 |
| 5 | 21241021040343110034 |
| 6 | 233505322343451400 |
| 7 | 12203240614446054 |
| oct | 1202142512615770 |
| 9 | 183226168357040 |
| 10 | 44131144113144 |
| 11 | 13074a0539aa20 |
| 12 | 4b48ab2a56b60 |
| 13 | 1b8171a2c243a |
| 14 | ac7d5cc26c64 |
| 15 | 517e441d7099 |
| hex | 2823152b1bf8 |
44131144113144 has 768 divisors, whose sum is σ = 136451396016000. Its totient is φ = 12771650764800.
The previous prime is 44131144113139. The next prime is 44131144113167.
44131144113144 is a `hidden beast` number, since 4 + 41 + 3 + 1 + 1 + 441 + 131 + 44 = 666.
44131144113144 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×441311441131443 (a number of 42 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 44131144113099 and 44131144113108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71992078182 + ... + 71992078794.
Almost surely, 244131144113144 is an apocalyptic number.
44131144113144 is a gapful number since it is divisible by the number (44) 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 44131144113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68225698008000).
44131144113144 is an abundant number, since it is smaller than the sum of its proper divisors (92320251902856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44131144113144 is a wasteful number, since it uses less digits than its factorization.
44131144113144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1056 (or 1049 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
It can be divided in two parts, 4413114 and 4113144, that added together give a palindrome (8526258).
The spelling of 44131144113144 in words is "forty-four trillion, one hundred thirty-one billion, one hundred forty-four million, one hundred thirteen thousand, one hundred forty-four".
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