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143441232144 = 24374311039001
BaseRepresentation
bin1000010110010111000…
…0111000000100010000
3111201020122222120210120
42011211300320010100
54322231423412034
6145521311230240
713235415233040
oct2054560700420
9451218876716
10143441232144
1155918921851
1223972218380
13106ac7c3432
146d2a68d720
153ae7dc0c49
hex2165c38110

143441232144 has 160 divisors (see below), whose sum is σ = 433782902784. Its totient is φ = 39989376000.

The previous prime is 143441232139. The next prime is 143441232157. The reversal of 143441232144 is 441232144341.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15931644 + ... + 15940644.

Almost surely, 2143441232144 is an apocalyptic number.

143441232144 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 143441232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216891451392).

143441232144 is an abundant number, since it is smaller than the sum of its proper divisors (290341670640).

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

143441232144 is a wasteful number, since it uses less digits than its factorization.

143441232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10159 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 143441232144 its reverse (441232144341), we get a palindrome (584673376485).

The spelling of 143441232144 in words is "one hundred forty-three billion, four hundred forty-one million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1103 1204 1806 2064 2206 2408 3309 3612 4412 4816 6618 7224 7721 8824 9001 13236 14448 15442 17648 18002 23163 26472 27003 30884 36004 46326 47429 52944 54006 61768 63007 72008 92652 94858 108012 123536 126014 142287 144016 185304 189021 189716 216024 252028 284574 332003 370608 378042 379432 387043 432048 504056 569148 664006 756084 758864 774086 996009 1008112 1138296 1161129 1328012 1512168 1548172 1992018 2276592 2322258 2656024 2709301 3024336 3096344 3984036 4644516 5312048 5418602 6192688 7968072 8127903 9289032 9928103 10837204 15936144 16255806 18578064 19856206 21674408 29784309 32511612 39712412 43348816 59568618 65023224 69496721 79424824 119137236 130046448 138993442 158849648 208490163 238274472 277986884 416980326 426908429 476548944 555973768 833960652 853816858 1111947536 1280725287 1667921304 1707633716 2561450574 2988359003 3335842608 3415267432 5122901148 5976718006 6830534864 8965077009 10245802296 11953436012 17930154018 20491604592 23906872024 35860308036 47813744048 71720616072 143441232144