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114135022452 = 223119773312161
BaseRepresentation
bin110101001001011111…
…0100011101101110100
3101220121021011212210210
41222102332203231310
53332222031204302
6124233301345420
711150241453333
oct1522276435564
9356537155723
10114135022452
114444a276740
121a153708270
13a9bc0a5159
14574a443d1a
152e8013e66c
hex1a92fa3b74

114135022452 has 96 divisors (see below), whose sum is σ = 293945226624. Its totient is φ = 34180300800.

The previous prime is 114135022439. The next prime is 114135022453. The reversal of 114135022452 is 254220531411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114135022453) 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, 9379252 + ... + 9391412.

It is an arithmetic number, because the mean of its divisors is an integer number (3061929444).

Almost surely, 2114135022452 is an apocalyptic number.

114135022452 is a gapful number since it is divisible by the number (12) 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 114135022452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146972613312).

114135022452 is an abundant number, since it is smaller than the sum of its proper divisors (179810204172).

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

114135022452 is a wasteful number, since it uses less digits than its factorization.

114135022452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 114135022452 its reverse (254220531411), we get a palindrome (368355553863).

The spelling of 114135022452 in words is "one hundred fourteen billion, one hundred thirty-five million, twenty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 733 1067 1164 1466 2134 2199 2932 3201 4268 4398 6402 8063 8796 12161 12804 16126 24189 24322 32252 36483 48378 48644 71101 72966 96756 133771 142202 145932 213303 267542 284404 401313 426606 535084 782111 802626 853212 1179617 1564222 1605252 2346333 2359234 3128444 3538851 4692666 4718468 7077702 8914013 9385332 12975787 14155404 17828026 25951574 26742039 35656052 38927361 51903148 53484078 77854722 98054143 106968156 155709444 196108286 294162429 392216572 588324858 864659261 1176649716 1729318522 2593977783 3458637044 5187955566 9511251871 10375911132 19022503742 28533755613 38045007484 57067511226 114135022452