| Base | Representation |
|---|---|
| bin | 1001001000000111000111… |
| … | …0111001001011100000000 |
| 3 | 1022112022222012010121111000 |
| 4 | 2102001301313021130000 |
| 5 | 2303403041143313230 |
| 6 | 33201554424052000 |
| 7 | 2054000340434661 |
| oct | 222016167113400 |
| 9 | 38468865117430 |
| 10 | 10034953885440 |
| 11 | 3219888948550 |
| 12 | 1160a11904000 |
| 13 | 57a3a4954483 |
| 14 | 2699a1473368 |
| 15 | 126073914b60 |
| hex | 92071dc9700 |
10034953885440 has 576 divisors, whose sum is σ = 39505954521600. Its totient is φ = 2391478272000.
The previous prime is 10034953885403. The next prime is 10034953885477. The reversal of 10034953885440 is 4458835943001.
It is a happy number.
10034953885440 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 95 + 3 + 8 + 8 + 544 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (10034953885403) and next prime (10034953885477).
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22205740 + ... + 22653140.
It is an arithmetic number, because the mean of its divisors is an integer number (68586726600).
Almost surely, 210034953885440 is an apocalyptic number.
10034953885440 is a gapful number since it is divisible by the number (10) 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 10034953885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752977260800).
10034953885440 is an abundant number, since it is smaller than the sum of its proper divisors (29471000636160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10034953885440 is a wasteful number, since it uses less digits than its factorization.
10034953885440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 447501 (or 447481 counting only the distinct ones).
The product of its (nonzero) digits is 8294400, while the sum is 54.
The spelling of 10034953885440 in words is "ten trillion, thirty-four billion, nine hundred fifty-three million, eight hundred eighty-five thousand, four hundred forty".
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