Base | Representation |
---|---|
bin | 10010011111110000… |
… | …11001010000000000 |
3 | 221122001021021020111 |
4 | 21033320121100000 |
5 | 130314102240034 |
6 | 4321204521104 |
7 | 501035416522 |
oct | 111770312000 |
9 | 27561237214 |
10 | 9930118144 |
11 | 4236324811 |
12 | 1b116b0194 |
13 | c2339066b |
14 | 6a2b71a12 |
15 | 3d1ba7364 |
hex | 24fe19400 |
9930118144 has 88 divisors (see below), whose sum is σ = 20184975720. Its totient is φ = 4882169856.
The previous prime is 9930118139. The next prime is 9930118151. The reversal of 9930118144 is 4418110399.
It can be written as a sum of positive squares in 4 ways, for example, as 2787840000 + 7142278144 = 52800^2 + 84512^2 .
It is a junction number, because it is equal to n+sod(n) for n = 9930118097 and 9930118106.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25527102 + ... + 25527490.
Almost surely, 29930118144 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 9930118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10092487860).
9930118144 is an abundant number, since it is smaller than the sum of its proper divisors (10254857576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9930118144 is a wasteful number, since it uses less digits than its factorization.
9930118144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 763 (or 745 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 40.
The square root of 9930118144 is about 99649.9781434999. The cubic root of 9930118144 is about 2149.4044244695.
It can be divided in two parts, 99301181 and 44, that added together give a square (99301225 = 99652).
The spelling of 9930118144 in words is "nine billion, nine hundred thirty million, one hundred eighteen thousand, one hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.062 sec. • engine limits •