Search a number
-
+
114265041331 = 722982339767
BaseRepresentation
bin110101001101010111…
…0100010100110110011
3101220221022211112011211
41222122232202212303
53333003322310311
6124254224220551
711153410553200
oct1523256424663
9356838745154
10114265041331
1144506700861
121a18b16a757
13aa0ccc93bc
14575d80aca7
152e8b773821
hex1a9aba29b3

114265041331 has 24 divisors (see below), whose sum is σ = 137534807520. Its totient is φ = 94543005312.

The previous prime is 114265041301. The next prime is 114265041361. The reversal of 114265041331 is 133140562411.

It is an interprime number because it is at equal distance from previous prime (114265041301) and next prime (114265041361).

It is not a de Polignac number, because 114265041331 - 213 = 114265033139 is a prime.

It is a super-2 number, since 2×1142650413312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114265041293 and 114265041302.

It is not an unprimeable number, because it can be changed into a prime (114265041301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11694210 + ... + 11703976.

It is an arithmetic number, because the mean of its divisors is an integer number (5730616980).

Almost surely, 2114265041331 is an apocalyptic number.

114265041331 is a deficient number, since it is larger than the sum of its proper divisors (23269766189).

114265041331 is an equidigital number, since it uses as much as digits as its factorization.

114265041331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18043 (or 18036 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 114265041331 in words is "one hundred fourteen billion, two hundred sixty-five million, forty-one thousand, three hundred thirty-one".

Divisors: 1 7 29 49 203 1421 8233 9767 57631 68369 238757 283243 403417 478583 1671299 1982701 11699093 13878907 80411711 562881977 2331939619 3940173839 16323577333 114265041331