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24142234304012 = 221123101317745103
BaseRepresentation
bin1010111110101000011010…
…10011001011111000001100
310011110222022211002111020112
411133110031103023320030
511131021243440212022
6123202442254535152
75041135033456136
oct537241523137014
9104428284074215
1024142234304012
117768733972490
12285ab155074b8
1310617ab823b26
145d66c1836056
152bcedcca88e2
hex15f50d4cbe0c

24142234304012 has 96 divisors (see below), whose sum is σ = 48723077781504. Its totient is φ = 10359898208000.

The previous prime is 24142234304011. The next prime is 24142234304051. The reversal of 24142234304012 is 21040343224142.

It is a happy number.

It is a super-2 number, since 2×241422343040122 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24142234304012.

It is not an unprimeable number, because it can be changed into a prime (24142234304011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32028653 + ... + 32773755.

It is an arithmetic number, because the mean of its divisors is an integer number (507532060224).

Almost surely, 224142234304012 is an apocalyptic number.

24142234304012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

24142234304012 is an abundant number, since it is smaller than the sum of its proper divisors (24580843477492).

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

24142234304012 is a wasteful number, since it uses less digits than its factorization.

24142234304012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745559 (or 745557 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 24142234304012 its reverse (21040343224142), we get a palindrome (45182577528154).

The spelling of 24142234304012 in words is "twenty-four trillion, one hundred forty-two billion, two hundred thirty-four million, three hundred four thousand, twelve".

Divisors: 1 2 4 11 22 23 44 46 92 101 202 253 317 404 506 634 1012 1111 1268 2222 2323 3487 4444 4646 6974 7291 9292 13948 14582 25553 29164 32017 51106 64034 80201 102212 128068 160402 320804 352187 704374 736391 745103 1408748 1472782 1490206 2945564 2980412 8100301 8196133 16200602 16392266 17137369 32401204 32784532 34274738 68549476 75255403 150510806 188511059 236197651 301021612 377022118 472395302 754044236 827809433 944790604 1655618866 1730874269 2598174161 3311237732 3461748538 5196348322 5432545973 6923497076 10392696644 10865091946 19039616959 21730183892 23855962751 38079233918 47711925502 59758005703 76158467836 95423851004 119516011406 239032022812 262415590261 524831180522 548687143273 1049662361044 1097374286546 2194748573092 6035558576003 12071117152006 24142234304012