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24232300134042 = 237111326631515089
BaseRepresentation
bin1011000001010000001011…
…01001000011111010011010
310011210120210122211201012010
411200220011221003322122
511134010222313242132
6123312055350130350
75050503662421030
oct540500551037232
9104716718751163
1024232300134042
1177a2951766660
1228744703509b6
13106a133184890
145dabc738c550
152c050ecda6cc
hex160a05a43e9a

24232300134042 has 128 divisors (see below), whose sum is σ = 65095829729280. Its totient is φ = 5807756528640.

The previous prime is 24232300134041. The next prime is 24232300134043. The reversal of 24232300134042 is 24043100323242.

It is an interprime number because it is at equal distance from previous prime (24232300134041) and next prime (24232300134043).

It is not an unprimeable number, because it can be changed into a prime (24232300134041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15236434 + ... + 16751522.

It is an arithmetic number, because the mean of its divisors is an integer number (508561169760).

Almost surely, 224232300134042 is an apocalyptic number.

24232300134042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24232300134042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32547914864640).

24232300134042 is an abundant number, since it is smaller than the sum of its proper divisors (40863529595238).

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

24232300134042 is a wasteful number, since it uses less digits than its factorization.

24232300134042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517788.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 24232300134042 its reverse (24043100323242), we get a palindrome (48275400457284).

It can be divided in two parts, 24232300 and 134042, that added together give a palindrome (24366342).

The spelling of 24232300134042 in words is "twenty-four trillion, two hundred thirty-two billion, three hundred million, one hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 2663 3003 5326 6006 7989 15978 18641 29293 34619 37282 55923 58586 69238 87879 103857 111846 175758 205051 207714 242333 380809 410102 484666 615153 726999 761618 1142427 1230306 1453998 1515089 2284854 2665663 3030178 4545267 5331326 7996989 9090534 10605623 15993978 16665979 19696157 21211246 31816869 33331958 39392314 49997937 59088471 63633738 99995874 116661853 118176942 137873099 216657727 233323706 275746198 349985559 413619297 433315454 649973181 699971118 827238594 1299946362 1516604089 3033208178 4034682007 4549812267 8069364014 9099624534 12104046021 24208092042 28242774049 44381502077 52450866091 56485548098 84728322147 88763004154 104901732182 133144506231 157352598273 169456644294 266289012462 310670514539 314705196546 367156062637 576959527001 621341029078 734312125274 932011543617 1101468187911 1153919054002 1730878581003 1864023087234 2202936375822 3461757162006 4038716689007 8077433378014 12116150067021 24232300134042