Search a number
-
+
114364769 is a prime number
BaseRepresentation
bin1101101000100…
…01000101100001
321222012022222012
412310101011201
5213234133034
615203122305
72556040661
oct664210541
9258168865
10114364769
1159612a42
1232373395
131a902c7c
14112901a1
15a090cce
hex6d11161

114364769 has 2 divisors, whose sum is σ = 114364770. Its totient is φ = 114364768.

The previous prime is 114364759. The next prime is 114364807. The reversal of 114364769 is 967463411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110523169 + 3841600 = 10513^2 + 1960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114364769 is a prime.

It is a super-2 number, since 2×1143647692 = 26158600776846722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114364739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57182384 + 57182385.

It is an arithmetic number, because the mean of its divisors is an integer number (57182385).

Almost surely, 2114364769 is an apocalyptic number.

It is an amenable number.

114364769 is a deficient number, since it is larger than the sum of its proper divisors (1).

114364769 is an equidigital number, since it uses as much as digits as its factorization.

114364769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 41.

The square root of 114364769 is about 10694.1464830065. The cubic root of 114364769 is about 485.3973701609.

The spelling of 114364769 in words is "one hundred fourteen million, three hundred sixty-four thousand, seven hundred sixty-nine".