Base | Representation |
---|---|
bin | 110100000101100001101… |
… | …1011100111000100000000 |
3 | 221100100211201022012121122 |
4 | 1220023003123213010000 |
5 | 1414242001220411034 |
6 | 23120354143211412 |
7 | 1336125055434356 |
oct | 150130333470400 |
9 | 27310751265548 |
10 | 7158694310144 |
11 | 230aa92347383 |
12 | 9774a02a6b68 |
13 | 3cc0a62174b0 |
14 | 1aa6a85877d6 |
15 | c633272562e |
hex | 682c36e7100 |
7158694310144 has 144 divisors (see below), whose sum is σ = 16026126102000. Its totient is φ = 3168664977408.
The previous prime is 7158694310143. The next prime is 7158694310191. The reversal of 7158694310144 is 4410134968517.
It can be written as a sum of positive squares in 8 ways, for example, as 170496319744 + 6988197990400 = 412912^2 + 2643520^2 .
It is a super-2 number, since 2×71586943101442 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (7158694310143) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 14131382 + ... + 14629194.
It is an arithmetic number, because the mean of its divisors is an integer number (111292542375).
Almost surely, 27158694310144 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 7158694310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013063051000).
7158694310144 is an abundant number, since it is smaller than the sum of its proper divisors (8867431791856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7158694310144 is a wasteful number, since it uses less digits than its factorization.
7158694310144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 498020 (or 498006 counting only the distinct ones).
The product of its (nonzero) digits is 2903040, while the sum is 53.
The spelling of 7158694310144 in words is "seven trillion, one hundred fifty-eight billion, six hundred ninety-four million, three hundred ten thousand, one hundred forty-four".
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