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24130003142 = 2741612712543
BaseRepresentation
bin10110011110010000…
…101010000011000110
32022021122212011111002
4112132100222003012
5343404240100032
615030221413302
71512651433250
oct263620520306
968248764432
1024130003142
11a262837563
12481510a232
13237721638b
14124c9dacd0
15963620862
hex59e42a0c6

24130003142 has 64 divisors (see below), whose sum is σ = 43245232128. Its totient is φ = 9883296000.

The previous prime is 24130003123. The next prime is 24130003147.

24130003142 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24130003147) 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, 9487523 + ... + 9490065.

It is an arithmetic number, because the mean of its divisors is an integer number (675706752).

Almost surely, 224130003142 is an apocalyptic number.

24130003142 is a deficient number, since it is larger than the sum of its proper divisors (19115228986).

24130003142 is a wasteful number, since it uses less digits than its factorization.

24130003142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 2413000 and 3142, that added together give a palindrome (2416142).

The spelling of 24130003142 in words is "twenty-four billion, one hundred thirty million, three thousand, one hundred forty-two".

Divisors: 1 2 7 14 41 61 82 122 271 287 427 542 574 854 1897 2501 2543 3794 5002 5086 11111 16531 17507 17801 22222 33062 35014 35602 77777 104263 115717 155123 155554 208526 231434 310246 677771 689153 729841 1085861 1355542 1378306 1459682 2171722 4744397 4824071 6360043 9488794 9648142 12720086 28255273 42038333 44520301 56510546 84076666 89040602 197786911 294268331 395573822 588536662 1723571653 3447143306 12065001571 24130003142