Search a number
-
+
114431041230 = 235117322920743
BaseRepresentation
bin110101010010010011…
…1110001111011001110
3101221100220012012020020
41222210213301323032
53333323321304410
6124322514203010
711160464542002
oct1524447617316
9357326165206
10114431041230
1144591380a60
121a216883466
13aa3850aaac
14577789c702
152e9b113a70
hex1aa49f1ece

114431041230 has 128 divisors (see below), whose sum is σ = 305046328320. Its totient is φ = 27240053760.

The previous prime is 114431041213. The next prime is 114431041237. The reversal of 114431041230 is 32140134411.

It is a self number, because there is not a number n which added to its sum of digits gives 114431041230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114431041237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5506239 + ... + 5526981.

It is an arithmetic number, because the mean of its divisors is an integer number (2383174440).

Almost surely, 2114431041230 is an apocalyptic number.

114431041230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114431041230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152523164160).

114431041230 is an abundant number, since it is smaller than the sum of its proper divisors (190615287090).

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

114431041230 is a wasteful number, since it uses less digits than its factorization.

114431041230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21066.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114431041230 its reverse (32140134411), we get a palindrome (146571175641).

The spelling of 114431041230 in words is "one hundred fourteen billion, four hundred thirty-one million, forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 229 330 365 438 458 687 730 803 1095 1145 1374 1606 2190 2290 2409 2519 3435 4015 4818 5038 6870 7557 8030 12045 12595 15114 16717 20743 24090 25190 33434 37785 41486 50151 62229 75570 83585 100302 103715 124458 167170 183887 207430 228173 250755 311145 367774 456346 501510 551661 622290 684519 919435 1103322 1140865 1369038 1514239 1838870 2281730 2758305 3028478 3422595 4542717 4750147 5516610 6845190 7571195 9085434 9500294 14250441 15142390 16656629 22713585 23750735 28500882 33313258 45427170 47501470 49969887 52251617 71252205 83283145 99939774 104503234 142504410 156754851 166566290 249849435 261258085 313509702 346760731 499698870 522516170 693521462 783774255 1040282193 1567548510 1733803655 2080564386 3467607310 3814368041 5201410965 7628736082 10402821930 11443104123 19071840205 22886208246 38143680410 57215520615 114431041230