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114541831008 = 253211355910159
BaseRepresentation
bin110101010101100111…
…0011010001101100000
3101221122121122220020100
41222223032122031200
53334040202043013
6124341512542400
711163311333163
oct1525316321540
9357577586210
10114541831008
1144638971a60
121a2479b1a00
13aa5545b787
14578849bada
152ea5bea473
hex1aab39a360

114541831008 has 144 divisors (see below), whose sum is σ = 355474828800. Its totient is φ = 34696477440.

The previous prime is 114541831003. The next prime is 114541831009. The reversal of 114541831008 is 800138145411.

114541831008 is a `hidden beast` number, since 1 + 1 + 4 + 541 + 8 + 3 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114541831003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11269833 + ... + 11279991.

It is an arithmetic number, because the mean of its divisors is an integer number (2468575200).

Almost surely, 2114541831008 is an apocalyptic number.

114541831008 is a gapful number since it is divisible by the number (18) 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 114541831008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177737414400).

114541831008 is an abundant number, since it is smaller than the sum of its proper divisors (240932997792).

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

114541831008 is a wasteful number, since it uses less digits than its factorization.

114541831008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 114541831008 its reverse (800138145411), we get a palindrome (914679976419).

It can be divided in two parts, 114541 and 831008, that added together give a palindrome (945549).

The spelling of 114541831008 in words is "one hundred fourteen billion, five hundred forty-one million, eight hundred thirty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3559 7118 10159 10677 14236 20318 21354 28472 30477 32031 39149 40636 42708 56944 60954 64062 78298 81272 85416 91431 111749 113888 117447 121908 128124 156596 162544 170832 182862 223498 234894 243816 256248 313192 325088 335247 341664 352341 365724 446996 469788 487632 512496 626384 670494 704682 731448 893992 939576 975264 1005741 1024992 1252768 1340988 1409364 1462896 1787984 1879152 2011482 2681976 2818728 2925792 3575968 3758304 4022964 5363952 5637456 8045928 10727904 11274912 16091856 32183712 36155881 72311762 108467643 144623524 216935286 289247048 325402929 397714691 433870572 578494096 650805858 795429382 867741144 1156988192 1193144073 1301611716 1590858764 1735482288 2386288146 2603223432 3181717528 3470964576 3579432219 4772576292 5206446864 6363435056 7158864438 9545152584 10412893728 12726870112 14317728876 19090305168 28635457752 38180610336 57270915504 114541831008