Search a number
-
+
114131314444 = 22717359366733
BaseRepresentation
bin110101001001011000…
…0011010011100001100
3101220121000012111101011
41222102300122130030
53332220104030234
6124233050055004
711150165110660
oct1522260323414
9356530174334
10114131314444
1144448173874
121a15241a464
13a9bb3a7474
145749b5a8a0
152e7eb5ab64
hex1a92c1a70c

114131314444 has 48 divisors (see below), whose sum is σ = 241760731968. Its totient is φ = 46022658048.

The previous prime is 114131314441. The next prime is 114131314463. The reversal of 114131314444 is 444413131411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114131314441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676902 + ... + 1743634.

It is an arithmetic number, because the mean of its divisors is an integer number (5036681916).

Almost surely, 2114131314444 is an apocalyptic number.

114131314444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114131314444 is an abundant number, since it is smaller than the sum of its proper divisors (127629417524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114131314444 is a wasteful number, since it uses less digits than its factorization.

114131314444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70354 (or 70352 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

Adding to 114131314444 its reverse (444413131411), we get a palindrome (558544445855).

The spelling of 114131314444 in words is "one hundred fourteen billion, one hundred thirty-one million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 3593 7186 14372 25151 50302 61081 66733 100604 122162 133466 244324 266932 427567 467131 855134 934262 1134461 1710268 1868524 2268922 4537844 7941227 15882454 31764908 239771669 479543338 959086676 1678401683 3356803366 4076118373 6713606732 8152236746 16304473492 28532828611 57065657222 114131314444