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114413421020 = 225291373534079
BaseRepresentation
bin110101010001110010…
…0100100000111011100
3101221022200000222211212
41222203210210013130
53333304313433040
6124321044403552
711160162014063
oct1524344440734
9357280028755
10114413421020
11445824366a8
121a2109a65b8
13aa3497b932
1457753d31da
152e997d2d65
hex1aa39241dc

114413421020 has 96 divisors (see below), whose sum is σ = 251138361600. Its totient is φ = 43729731584.

The previous prime is 114413421011. The next prime is 114413421037. The reversal of 114413421020 is 20124314411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28047341 + ... + 28051419.

It is an arithmetic number, because the mean of its divisors is an integer number (2616024600).

Almost surely, 2114413421020 is an apocalyptic number.

114413421020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114413421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125569180800).

114413421020 is an abundant number, since it is smaller than the sum of its proper divisors (136724940580).

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

114413421020 is a wasteful number, since it uses less digits than its factorization.

114413421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 114413421020 its reverse (20124314411), we get a palindrome (134537735431).

The spelling of 114413421020 in words is "one hundred fourteen billion, four hundred thirteen million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 137 145 274 290 353 548 580 685 706 1370 1412 1765 2740 3530 3973 4079 7060 7946 8158 10237 15892 16316 19865 20395 20474 39730 40790 40948 48361 51185 79460 81580 96722 102370 118291 193444 204740 236582 241805 473164 483610 558823 591455 967220 1117646 1182910 1402469 1439887 2235292 2365820 2794115 2804938 2879774 5588230 5609876 5759548 7012345 7199435 11176460 14024690 14398870 16205867 28049380 28797740 32411734 41756723 64823468 81029335 83513446 162058670 167026892 197264519 208783615 324117340 394529038 417567230 789058076 835134460 986322595 1972645190 3945290380 5720671051 11441342102 22882684204 28603355255 57206710510 114413421020