| Base | Representation |
|---|---|
| bin | 110000101010101111101… |
| … | …000010110000111100000 |
| 3 | 102211201120011020100111111 |
| 4 | 300222233220112013200 |
| 5 | 414243343333123230 |
| 6 | 11040224354153104 |
| 7 | 463425056454550 |
| oct | 60525750260740 |
| 9 | 12751504210444 |
| 10 | 3344431145440 |
| 11 | 107a402213190 |
| 12 | 46020b282794 |
| 13 | 1b34bc75a4c8 |
| 14 | b7c2ad0b160 |
| 15 | 5bee292692a |
| hex | 30aafa161e0 |
3344431145440 has 384 divisors, whose sum is σ = 10007019251712. Its totient is φ = 1025957560320.
The previous prime is 3344431145431. The next prime is 3344431145443. The reversal of 3344431145440 is 445411344433.
It is a super-2 number, since 2×33444311454402 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 3344431145393 and 3344431145402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3344431145443) 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 63 ways as a sum of consecutive naturals, for example, 452374384 + ... + 452381776.
It is an arithmetic number, because the mean of its divisors is an integer number (26059945968).
Almost surely, 23344431145440 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 3344431145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003509625856).
3344431145440 is an abundant number, since it is smaller than the sum of its proper divisors (6662588106272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3344431145440 is a wasteful number, since it uses less digits than its factorization.
3344431145440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8002 (or 7994 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 40.
Adding to 3344431145440 its reverse (445411344433), we get a palindrome (3789842489873).
The spelling of 3344431145440 in words is "three trillion, three hundred forty-four billion, four hundred thirty-one million, one hundred forty-five thousand, four hundred forty".
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