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114000010014 = 231117632316069
BaseRepresentation
bin110101000101011101…
…1100001101100011110
3101220020212010112120010
41222022323201230132
53331433000310024
6124212035504050
711144012045142
oct1521273415436
9356225115503
10114000010014
1144390040910
121a116458026
13a99a123037
14573653b222
152e73370b29
hex1a8aee1b1e

114000010014 has 64 divisors (see below), whose sum is σ = 263416354560. Its totient is φ = 32506206720.

The previous prime is 114000009947. The next prime is 114000010039. The reversal of 114000010014 is 410010000411.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7086372 + ... + 7102440.

It is an arithmetic number, because the mean of its divisors is an integer number (4115880540).

Almost surely, 2114000010014 is an apocalyptic number.

114000010014 is an abundant number, since it is smaller than the sum of its proper divisors (149416344546).

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

114000010014 is a wasteful number, since it uses less digits than its factorization.

114000010014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22425.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 114000010014 its reverse (410010000411), we get a palindrome (524010010425).

The spelling of 114000010014 in words is "one hundred fourteen billion, ten thousand, fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 6323 12646 16069 18969 32138 37938 48207 69553 96414 107491 139106 176759 208659 214982 273173 322473 353518 417318 530277 546346 644946 819519 1060554 1182401 1639038 2364802 3004903 3547203 6009806 7094406 9014709 18029418 101604287 203208574 304812861 609625722 1117647157 1727272879 2235294314 3352941471 3454545758 5181818637 6705882942 10363637274 19000001669 38000003338 57000005007 114000010014