Search a number
-
+
40257014136517 is a prime number
BaseRepresentation
bin10010010011101000100010…
…00001101111111011000101
312021112112101112100220212201
421021310101001233323011
520234032331104332032
6221341452245114501
711323321224131053
oct1111642101577305
9167475345326781
1040257014136517
11119109a3a88962
1246220b46b8a31
1319602b286bb99
149d26426871d3
1549c29d6e38e7
hex249d1106fec5

40257014136517 has 2 divisors, whose sum is σ = 40257014136518. Its totient is φ = 40257014136516.

The previous prime is 40257014136503. The next prime is 40257014136529. The reversal of 40257014136517 is 71563141075204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36443328522561 + 3813685613956 = 6036831^2 + 1952866^2 .

It is a cyclic number.

It is not a de Polignac number, because 40257014136517 - 215 = 40257014103749 is a prime.

It is a super-2 number, since 2×402570141365172 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40257014136817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20128507068258 + 20128507068259.

It is an arithmetic number, because the mean of its divisors is an integer number (20128507068259).

Almost surely, 240257014136517 is an apocalyptic number.

It is an amenable number.

40257014136517 is a deficient number, since it is larger than the sum of its proper divisors (1).

40257014136517 is an equidigital number, since it uses as much as digits as its factorization.

40257014136517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 40257014136517 in words is "forty trillion, two hundred fifty-seven billion, fourteen million, one hundred thirty-six thousand, five hundred seventeen".