Base | Representation |
---|---|
bin | 100101010010111011… |
… | …011010101100101001 |
3 | 10211100212122020210000 |
4 | 211102323122230221 |
5 | 1124003234410400 |
6 | 30221421013213 |
7 | 2615243332101 |
oct | 452273325451 |
9 | 124325566700 |
10 | 40046013225 |
11 | 15a8aa264a9 |
12 | 79173b4209 |
13 | 3a1277311a |
14 | 1d1c748201 |
15 | 1095a75600 |
hex | 952edab29 |
40046013225 has 45 divisors (see below), whose sum is σ = 74195744007. Its totient is φ = 21353070960.
The previous prime is 40046013199. The next prime is 40046013257. The reversal of 40046013225 is 52231064004.
The square root of 40046013225 is 200115.
It is a perfect power (a square), and thus also a powerful number.
40046013225 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 601 + 32 + 25 = 666.
It can be written as a sum of positive squares in only one way, i.e., 14416564761 + 25629448464 = 120069^2 + 160092^2 .
It is a tau number, because it is divible by the number of its divisors (45).
It is not a de Polignac number, because 40046013225 - 25 = 40046013193 is a prime.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
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, 9002952 + ... + 9007398.
Almost surely, 240046013225 is an apocalyptic number.
40046013225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
40046013225 is the 200115-th square number.
40046013225 is the 100058-th centered octagonal number.
It is an amenable number.
40046013225 is a deficient number, since it is larger than the sum of its proper divisors (34149730782).
40046013225 is an frugal number, since it uses more digits than its factorization.
40046013225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8916 (or 4455 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
Adding to 40046013225 its reverse (52231064004), we get a palindrome (92277077229).
The spelling of 40046013225 in words is "forty billion, forty-six million, thirteen thousand, two hundred twenty-five".
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