Base | Representation |
---|---|
bin | 1101111111001001101… |
… | …0001101010001000100 |
3 | 211222020020022202110000 |
4 | 3133302122031101010 |
5 | 12414103240021021 |
6 | 302215432001300 |
7 | 23234420432304 |
oct | 3376232152104 |
9 | 758206282400 |
10 | 240290157636 |
11 | 929a7590a41 |
12 | 3a6a0830230 |
13 | 19875534639 |
14 | b8b701d604 |
15 | 63b5673b26 |
hex | 37f268d444 |
240290157636 has 135 divisors (see below), whose sum is σ = 636414802023. Its totient is φ = 79058488320.
The previous prime is 240290157623. The next prime is 240290157641. The reversal of 240290157636 is 636751092042.
The square root of 240290157636 is 490194.
It is a perfect power (a square), and thus also a powerful number.
240290157636 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 9 + 0 + 1 + 5 + 7 + 636 = 666.
240290157636 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 4 ways, for example, as 34406540100 + 205883617536 = 185490^2 + 453744^2 .
It is a junction number, because it is equal to n+sod(n) for n = 240290157591 and 240290157600.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 997054476 + ... + 997054716.
Almost surely, 2240290157636 is an apocalyptic number.
240290157636 is the 490194-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240290157636
240290157636 is an abundant number, since it is smaller than the sum of its proper divisors (396124644387).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240290157636 is an equidigital number, since it uses as much as digits as its factorization.
240290157636 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 724 (or 359 counting only the distinct ones).
The product of its (nonzero) digits is 544320, while the sum is 45.
The spelling of 240290157636 in words is "two hundred forty billion, two hundred ninety million, one hundred fifty-seven thousand, six hundred thirty-six".
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