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24144132100242 = 23711431121252961
BaseRepresentation
bin1010111110101011111100…
…11010101101000010010010
310011111011020002010112020210
411133111332122231002102
511131034140304201432
6123203354451144550
75041233046456560
oct537257632550222
9104434202115223
1024144132100242
117769518152920
12285b364ba5156
131061a21a6558b
145d68218c8a30
152bd09e6cd8cc
hex15f57e6ad092

24144132100242 has 64 divisors (see below), whose sum is σ = 60343234080768. Its totient is φ = 6256652736000.

The previous prime is 24144132100111. The next prime is 24144132100247. The reversal of 24144132100242 is 24200123144142.

It is a super-2 number, since 2×241441321002422 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24144132100247) 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, 60427359 + ... + 60825602.

It is an arithmetic number, because the mean of its divisors is an integer number (942863032512).

Almost surely, 224144132100242 is an apocalyptic number.

24144132100242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24144132100242 is an abundant number, since it is smaller than the sum of its proper divisors (36199101980526).

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

24144132100242 is a wasteful number, since it uses less digits than its factorization.

24144132100242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121253415.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 24144132100242 its reverse (24200123144142), we get a palindrome (48344255244384).

The spelling of 24144132100242 in words is "twenty-four trillion, one hundred forty-four billion, one hundred thirty-two million, one hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 431 462 862 1293 2586 3017 4741 6034 9051 9482 14223 18102 28446 33187 66374 99561 199122 121252961 242505922 363758883 727517766 848770727 1333782571 1697541454 2546312181 2667565142 4001347713 5092624362 8002695426 9336477997 18672955994 28009433991 52260026191 56018867982 104520052382 156780078573 313560157146 365820183337 574860288101 731640366674 1097460550011 1149720576202 1724580864303 2194921100022 3449161728606 4024022016707 8048044033414 12072066050121 24144132100242