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24034143012 = 223111011999059
BaseRepresentation
bin10110011000100010…
…111110101100100100
32022000222110222002220
4112120202332230210
5343210220034022
615012515032340
71510405562535
oct263042765444
968028428086
1024034143012
11a213713410
1247a8b9b6b0
1323603c1cc9
14123dda668c
15959ed785c
hex5988beb24

24034143012 has 96 divisors (see below), whose sum is σ = 62100864000. Its totient is φ = 7173936000.

The previous prime is 24034143011. The next prime is 24034143031. The reversal of 24034143012 is 21034143042.

It is a super-3 number, since 3×240341430123 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (24034143011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2648539 + ... + 2657597.

It is an arithmetic number, because the mean of its divisors is an integer number (646884000).

Almost surely, 224034143012 is an apocalyptic number.

24034143012 is a gapful number since it is divisible by the number (22) 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 24034143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31050432000).

24034143012 is an abundant number, since it is smaller than the sum of its proper divisors (38066720988).

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

24034143012 is a wasteful number, since it uses less digits than its factorization.

24034143012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 24034143012 its reverse (21034143042), we get a palindrome (45068286054).

The spelling of 24034143012 in words is "twenty-four billion, thirty-four million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 199 202 303 398 404 597 606 796 1111 1194 1212 2189 2222 2388 3333 4378 4444 6567 6666 8756 9059 13134 13332 18118 20099 26268 27177 36236 40198 54354 60297 80396 99649 108708 120594 199298 221089 241188 298947 398596 442178 597894 663267 884356 914959 1195788 1326534 1802741 1829918 2653068 2744877 3605482 3659836 5408223 5489754 7210964 10064549 10816446 10979508 19830151 20129098 21632892 30193647 39660302 40258196 59490453 60387294 79320604 118980906 120774588 182076841 237961812 364153682 546230523 728307364 1092461046 2002845251 2184922092 4005690502 6008535753 8011381004 12017071506 24034143012