Search a number
-
+
114042345313 = 1323747596577
BaseRepresentation
bin110101000110101110…
…1000001011101100001
3101220100210210101200011
41222031131001131201
53332024320022223
6124220151124521
711145034640521
oct1521535013541
9356323711604
10114042345313
1144401a26a66
121a128673741
13a9a5b26800
14573bddb681
152e76e3480d
hex1a8d741761

114042345313 has 48 divisors (see below), whose sum is σ = 131741026560. Its totient is φ = 98531417088.

The previous prime is 114042345299. The next prime is 114042345317. The reversal of 114042345313 is 313543240411.

It is not a de Polignac number, because 114042345313 - 225 = 114008790881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114042345317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17336281 + ... + 17342857.

It is an arithmetic number, because the mean of its divisors is an integer number (2744604720).

Almost surely, 2114042345313 is an apocalyptic number.

114042345313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114042345313 is a deficient number, since it is larger than the sum of its proper divisors (17698681247).

114042345313 is a wasteful number, since it uses less digits than its factorization.

114042345313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 114042345313 its reverse (313543240411), we get a palindrome (427585585724).

The spelling of 114042345313 in words is "one hundred fourteen billion, forty-two million, three hundred forty-five thousand, three hundred thirteen".

Divisors: 1 13 37 47 59 169 481 611 767 1739 2183 2773 6253 6577 7943 9971 22607 28379 36049 85501 102601 243349 293891 309119 368927 388043 468637 1111513 1333813 3163537 4018547 5044559 11437403 14357591 17339569 18238021 41125981 52241111 65579267 148686239 186648683 237094273 674806777 1932921107 2426432879 3082225549 8772488101 114042345313