| Base | Representation |
|---|---|
| bin | 11110000101111111101… |
| … | …10100100010011000000 |
| 3 | 10122211221222221100102200 |
| 4 | 33002333312210103000 |
| 5 | 113420123242404434 |
| 6 | 2111003522113200 |
| 7 | 134463516443550 |
| oct | 17027766442300 |
| 9 | 3584858840380 |
| 10 | 1034010903744 |
| 11 | 369581220305 |
| 12 | 1484941ab800 |
| 13 | 766785cc360 |
| 14 | 38091443160 |
| 15 | 1bd6c56b199 |
| hex | f0bfda44c0 |
1034010903744 has 672 divisors, whose sum is σ = 3720649855104. Its totient is φ = 267305287680.
The previous prime is 1034010903707. The next prime is 1034010903749. The reversal of 1034010903744 is 4473090104301.
1034010903744 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-3 number, since 3×10340109037443 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 1034010903699 and 1034010903708.
It is not an unprimeable number, because it can be changed into a prime (1034010903749) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692571862 + ... + 692573354.
It is an arithmetic number, because the mean of its divisors is an integer number (5536681332).
Almost surely, 21034010903744 is an apocalyptic number.
1034010903744 is a gapful number since it is divisible by the number (14) 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 1034010903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860324927552).
1034010903744 is an abundant number, since it is smaller than the sum of its proper divisors (2686638951360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034010903744 is a wasteful number, since it uses less digits than its factorization.
1034010903744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1785 (or 1772 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The spelling of 1034010903744 in words is "one trillion, thirty-four billion, ten million, nine hundred three thousand, seven hundred forty-four".
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