Search a number
-
+
114362406061583 is a prime number
BaseRepresentation
bin11010000000001100010010…
…100101101100011000001111
3112222220221100201011220112112
4122000030102211230120033
5104442203201422432313
61043121210345254235
733042261014314001
oct3200142245543017
9488827321156475
10114362406061583
1133491907888869
12109b024a49437b
134ba7436c84644
142035254632371
15d34c669518a8
hex68031296c60f

114362406061583 has 2 divisors, whose sum is σ = 114362406061584. Its totient is φ = 114362406061582.

The previous prime is 114362406061507. The next prime is 114362406061621. The reversal of 114362406061583 is 385160604263411.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 114362406061583 - 228 = 114362137626127 is a prime.

It is a super-2 number, since 2×1143624060615832 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114362406001583) 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, 57181203030791 + 57181203030792.

It is an arithmetic number, because the mean of its divisors is an integer number (57181203030792).

Almost surely, 2114362406061583 is an apocalyptic number.

114362406061583 is a deficient number, since it is larger than the sum of its proper divisors (1).

114362406061583 is an equidigital number, since it uses as much as digits as its factorization.

114362406061583 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 114362406061583 in words is "one hundred fourteen trillion, three hundred sixty-two billion, four hundred six million, sixty-one thousand, five hundred eighty-three".