| Base | Representation |
|---|---|
| bin | 110010000111011111111… |
| … | …101000001100111000000 |
| 3 | 110012020122002202022011200 |
| 4 | 302013133331001213000 |
| 5 | 422411331141330030 |
| 6 | 11154055212141200 |
| 7 | 503552115003000 |
| oct | 62073775014700 |
| 9 | 13166562668150 |
| 10 | 3444026120640 |
| 11 | 110866aa61146 |
| 12 | 477585467800 |
| 13 | 1bca023894b1 |
| 14 | bc99825a000 |
| 15 | 5e8c1308d60 |
| hex | 321dff419c0 |
3444026120640 has 672 divisors, whose sum is σ = 13852550400000. Its totient is φ = 785043560448.
The previous prime is 3444026120569. The next prime is 3444026120663. The reversal of 3444026120640 is 460216204443.
3444026120640 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 0 + 2 + 6 + 1 + 2 + 0 + 640 = 666.
3444026120640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×34440261206402 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3444026120595 and 3444026120604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374386761 + ... + 374395959.
Almost surely, 23444026120640 is an apocalyptic number.
3444026120640 is a gapful number since it is divisible by the number (30) 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 3444026120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926275200000).
3444026120640 is an abundant number, since it is smaller than the sum of its proper divisors (10408524279360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3444026120640 is a wasteful number, since it uses less digits than its factorization.
3444026120640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9622 (or 9595 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
The spelling of 3444026120640 in words is "three trillion, four hundred forty-four billion, twenty-six million, one hundred twenty thousand, six hundred forty".
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