Base | Representation |
---|---|
bin | 11110101111100010011… |
… | …10111100000100100000 |
3 | 10201222112100112211111022 |
4 | 33113301032330010200 |
5 | 114301312414301030 |
6 | 2125133011305012 |
7 | 136213310443001 |
oct | 17276116740440 |
9 | 3658470484438 |
10 | 1056314212640 |
11 | 377a869203a5 |
12 | 1508795ab168 |
13 | 787c123a25b |
14 | 391a95b91a8 |
15 | 1c72560dde5 |
hex | f5f13bc120 |
1056314212640 has 96 divisors (see below), whose sum is σ = 2514646787184. Its totient is φ = 419293265920.
The previous prime is 1056314212637. The next prime is 1056314212649. The reversal of 1056314212640 is 462124136501.
1056314212640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 1013154981136 + 43159231504 = 1006556^2 + 207748^2 .
It is a super-3 number, since 3×10563142126403 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 1056314212640.
It is not an unprimeable number, because it can be changed into a prime (1056314212649) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78488792 + ... + 78502248.
Almost surely, 21056314212640 is an apocalyptic number.
1056314212640 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 1056314212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257323393592).
1056314212640 is an abundant number, since it is smaller than the sum of its proper divisors (1458332574544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056314212640 is a wasteful number, since it uses less digits than its factorization.
1056314212640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17190 (or 17182 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 35.
The spelling of 1056314212640 in words is "one trillion, fifty-six billion, three hundred fourteen million, two hundred twelve thousand, six hundred forty".
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