Search a number
-
+
114100322542232 = 23132412418541011
BaseRepresentation
bin11001111100011000001101…
…001100011010001010011000
3112221222212212122210200001112
4121330120031030122022120
5104423404430032322412
61042400544202035452
733014322234205565
oct3174301514321230
9487885778720045
10114100322542232
11333a0747538694
12109694a71a8b88
134b887ca66aa00
1420266b10a186c
15d2d027dba722
hex67c60d31a298

114100322542232 has 96 divisors (see below), whose sum is σ = 238295772182160. Its totient is φ = 51164066304000.

The previous prime is 114100322542211. The next prime is 114100322542247. The reversal of 114100322542232 is 232245223001411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9088607 + ... + 17629617.

Almost surely, 2114100322542232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114100322542232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119147886091080).

114100322542232 is an abundant number, since it is smaller than the sum of its proper divisors (124195449639928).

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

114100322542232 is a wasteful number, since it uses less digits than its factorization.

114100322542232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541325 (or 8541308 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 114100322542232 its reverse (232245223001411), we get a palindrome (346345545543643).

The spelling of 114100322542232 in words is "one hundred fourteen trillion, one hundred billion, three hundred twenty-two million, five hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 169 241 328 338 482 533 676 964 1066 1352 1928 2132 3133 4264 6266 6929 9881 12532 13858 19762 25064 27716 39524 40729 55432 79048 81458 128453 162916 256906 325832 513812 1027624 1669889 3339778 6679556 8541011 13359112 17082022 34164044 68328088 111033143 222066286 350181451 444132572 700362902 888265144 1400725804 1443430859 2058383651 2801451608 2886861718 4116767302 4552358863 5773723436 8233534604 9104717726 11547446872 16467069208 18209435452 26758987463 36418870904 53517974926 59180665219 84393729691 107035949852 118361330438 168787459382 214071899704 236722660876 337574918764 347866837019 473445321752 675149837528 695733674038 1097118485983 1391467348076 2194236971966 2782934696152 4388473943932 8776947887864 14262540317779 28525080635558 57050161271116 114100322542232