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114020123224 = 23717374437307
BaseRepresentation
bin110101000110000100…
…0010000001001011000
3101220022020222101200211
41222030020100021120
53332003122420344
6124214034540504
711144345025220
oct1521410201130
9356266871624
10114020123224
11443a04291a7
121a121137734
13a9a1345b47
145739095080
152e74ee5334
hex1a8c210258

114020123224 has 128 divisors (see below), whose sum is σ = 266329244160. Its totient is φ = 44641179648.

The previous prime is 114020123213. The next prime is 114020123227. The reversal of 114020123224 is 422321020411.

It is a super-2 number, since 2×1140201232242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114020123195 and 114020123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114020123227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15600579 + ... + 15607885.

It is an arithmetic number, because the mean of its divisors is an integer number (2080697220).

Almost surely, 2114020123224 is an apocalyptic number.

114020123224 is a gapful number since it is divisible by the number (14) 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 114020123224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133164622080).

114020123224 is an abundant number, since it is smaller than the sum of its proper divisors (152309120936).

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

114020123224 is a wasteful number, since it uses less digits than its factorization.

114020123224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 114020123224 its reverse (422321020411), we get a palindrome (536341143635).

The spelling of 114020123224 in words is "one hundred fourteen billion, twenty million, one hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 37 56 68 74 119 136 148 238 259 296 443 476 518 629 886 952 1036 1258 1772 2072 2516 3101 3544 4403 5032 6202 7307 7531 8806 12404 14614 15062 16391 17612 24808 29228 30124 32782 35224 51149 52717 58456 60248 65564 102298 105434 114737 124219 131128 204596 210868 229474 248438 270359 278647 409192 421736 458948 496876 540718 557294 869533 917896 993752 1081436 1114588 1739066 1892513 1950529 2162872 2229176 3237001 3478132 3785026 3901058 4596103 6474002 6956264 7570052 7802116 9192206 12948004 15140104 15604232 18384412 22659007 25896008 32172721 36768824 45318014 55029017 64345442 90636028 110058034 119769037 128690884 181272056 220116068 239538074 257381768 385203119 440232136 479076148 770406238 838383259 958152296 1540812476 1676766518 2036073629 3081624952 3353533036 4072147258 6707066072 8144294516 14252515403 16288589032 28505030806 57010061612 114020123224