Search a number
-
+
240313271141257 is a prime number
BaseRepresentation
bin110110101001000001001011…
…001010010100001110001001
31011111212201120001110220222021
4312221001023022110032021
5222444243034403010012
62211034220453324441
7101422026612214636
oct6651011312241611
91144781501426867
10240313271141257
116a631316672556
1222b523a4336721
13a4125a0c8c342
14434b31d9cb18d
151cbb1765ca007
hexda904b294389

240313271141257 has 2 divisors, whose sum is σ = 240313271141258. Its totient is φ = 240313271141256.

The previous prime is 240313271141243. The next prime is 240313271141263. The reversal of 240313271141257 is 752141172313042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206062264007161 + 34251007134096 = 14354869^2 + 5852436^2 .

It is a cyclic number.

It is not a de Polignac number, because 240313271141257 - 223 = 240313262752649 is a prime.

It is a super-2 number, since 2×2403132711412572 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (240313271141297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120156635570628 + 120156635570629.

It is an arithmetic number, because the mean of its divisors is an integer number (120156635570629).

Almost surely, 2240313271141257 is an apocalyptic number.

It is an amenable number.

240313271141257 is a deficient number, since it is larger than the sum of its proper divisors (1).

240313271141257 is an equidigital number, since it uses as much as digits as its factorization.

240313271141257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 240313271141257 in words is "two hundred forty trillion, three hundred thirteen billion, two hundred seventy-one million, one hundred forty-one thousand, two hundred fifty-seven".