Search a number
-
+
114312302406629 is a prime number
BaseRepresentation
bin11001111111011101101000…
…001011011010101111100101
3112222202011000220022112001022
4121333131220023122233211
5104440343043404003004
61043042202522140525
733035535263264135
oct3177355013325745
9488664026275038
10114312302406629
1133472636658268
12109a25a6951745
134ba27b08c1632
142032a6023cac5
15d337d2e342be
hex67f7682dabe5

114312302406629 has 2 divisors, whose sum is σ = 114312302406630. Its totient is φ = 114312302406628.

The previous prime is 114312302406607. The next prime is 114312302406647. The reversal of 114312302406629 is 926604203213411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109960914750625 + 4351387656004 = 10486225^2 + 2085998^2 .

It is a cyclic number.

It is not a de Polignac number, because 114312302406629 - 236 = 114243582929893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114312302406629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114312302406689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57156151203314 + 57156151203315.

It is an arithmetic number, because the mean of its divisors is an integer number (57156151203315).

Almost surely, 2114312302406629 is an apocalyptic number.

It is an amenable number.

114312302406629 is a deficient number, since it is larger than the sum of its proper divisors (1).

114312302406629 is an equidigital number, since it uses as much as digits as its factorization.

114312302406629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 114312302406629 in words is "one hundred fourteen trillion, three hundred twelve billion, three hundred two million, four hundred six thousand, six hundred twenty-nine".