Search a number
-
+
114252513133015 = 54767311182312799
BaseRepresentation
bin11001111110100101111100…
…011101011100000111010111
3112222112102201002020201120001
4121332211330131130013113
5104433403121330224030
61042554514022352131
733031320532660105
oct3176457435340727
9488472632221501
10114252513133015
113344a24511a044
1210992a9b58b647
134b99c72a05b1a
14202dbcb760c75
15d31e83e58cca
hex67e97c75c1d7

114252513133015 has 64 divisors (see below), whose sum is σ = 142656248217600. Its totient is φ = 87783709875840.

The previous prime is 114252513133013. The next prime is 114252513133027. The reversal of 114252513133015 is 510331315252411.

It is not a de Polignac number, because 114252513133015 - 21 = 114252513133013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114252513133013) 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 in 63 ways as a sum of consecutive naturals, for example, 8926668586 + ... + 8926681384.

It is an arithmetic number, because the mean of its divisors is an integer number (2229003878400).

Almost surely, 2114252513133015 is an apocalyptic number.

114252513133015 is a deficient number, since it is larger than the sum of its proper divisors (28403735084585).

114252513133015 is a wasteful number, since it uses less digits than its factorization.

114252513133015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15052.

The product of its (nonzero) digits is 54000, while the sum is 37.

Adding to 114252513133015 its reverse (510331315252411), we get a palindrome (624583828385426).

The spelling of 114252513133015 in words is "one hundred fourteen trillion, two hundred fifty-two billion, five hundred thirteen million, one hundred thirty-three thousand, fifteen".

Divisors: 1 5 47 67 235 311 335 1555 1823 3149 9115 12799 14617 15745 20837 63995 73085 85681 104185 122141 428405 566953 601553 610705 857533 979339 2834765 3007765 3980489 4287665 4896695 5740627 19902445 23332577 26646791 28703135 37985851 40304051 116662885 133233955 187082983 189929255 201520255 266692763 935414915 1096631119 1333463815 1563282659 1785334997 5483155595 7256431447 7816413295 8926674985 12534559861 36282157235 62672799305 73474284973 341052278009 367371424865 486180906949 1705261390045 2430904534745 22850502626603 114252513133015