Search a number
-
+
4015015887257 is a prime number
BaseRepresentation
bin111010011011010001100…
…110001000000110011001
3112012211110100201210211122
4322123101212020012121
51011240223031343012
612312250044335025
7563034556642064
oct72332146100631
915184410653748
104015015887257
111308838884a51
1254a178844475
132317caa17c1b
14dc4836db8db
156e68e3abe72
hex3a6d1988199

4015015887257 has 2 divisors, whose sum is σ = 4015015887258. Its totient is φ = 4015015887256.

The previous prime is 4015015887203. The next prime is 4015015887301. The reversal of 4015015887257 is 7527885105104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2408297393161 + 1606718494096 = 1551869^2 + 1267564^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4015015887257 is a prime.

It is a super-2 number, since 2×40150158872572 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4015015887199 and 4015015887208.

It is not a weakly prime, because it can be changed into another prime (4015015883257) by changing a digit.

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 as a sum of consecutive naturals, namely, 2007507943628 + 2007507943629.

It is an arithmetic number, because the mean of its divisors is an integer number (2007507943629).

Almost surely, 24015015887257 is an apocalyptic number.

It is an amenable number.

4015015887257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4015015887257 is an equidigital number, since it uses as much as digits as its factorization.

4015015887257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136000, while the sum is 53.

The spelling of 4015015887257 in words is "four trillion, fifteen billion, fifteen million, eight hundred eighty-seven thousand, two hundred fifty-seven".