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22142131143044 = 22112175235419511
BaseRepresentation
bin1010000100011010111011…
…10111001000000110000100
32220101202201012010112000212
411002031131313020012010
510400234041033034134
6115031542110454552
74443500436222203
oct502153567100604
986352635115025
1022142131143044
117067474871300
122597362b04458
13c47cbcab0283
145679833b123a
15285e7abeebce
hex14235ddc8184

22142131143044 has 144 divisors (see below), whose sum is σ = 45271470480768. Its totient is φ = 9435989376000.

The previous prime is 22142131143031. The next prime is 22142131143091. The reversal of 22142131143044 is 44034113124122.

It is a self number, because there is not a number n which added to its sum of digits gives 22142131143044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2328050249 + ... + 2328059759.

It is an arithmetic number, because the mean of its divisors is an integer number (314385211672).

Almost surely, 222142131143044 is an apocalyptic number.

It is an amenable number.

22142131143044 is an abundant number, since it is smaller than the sum of its proper divisors (23129339337724).

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

22142131143044 is a wasteful number, since it uses less digits than its factorization.

22142131143044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 22142131143044 its reverse (44034113124122), we get a palindrome (66176244267166).

The spelling of 22142131143044 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirty-one million, one hundred forty-three thousand, forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 523 541 748 1046 1082 2057 2092 2164 4114 5753 5951 8228 8891 9197 9511 11506 11902 17782 18394 19022 23012 23804 35564 36788 38044 63283 65461 97801 101167 104621 126566 130922 161687 195602 202334 209242 253132 261844 282943 323374 391204 404668 418484 565886 646748 1075811 1112837 1131772 1150831 1778557 2151622 2225674 2301662 3112373 3557114 4303244 4451348 4603324 4810031 4974253 5145451 6224746 7114228 9620062 9948506 10290902 12449492 19240124 19564127 19897012 20581804 34236103 39128254 52910341 54716783 56599961 68472206 78256508 84562301 87472667 105820682 109433566 113199922 136944412 169124602 174945334 211641364 218867132 226399844 338249204 349890668 582013751 601884613 622599571 930185311 962199337 1164027502 1203769226 1245199142 1860370622 1924398674 2328055004 2407538452 2490398284 2691070873 3720741244 3848797348 5382141746 10232038421 10584192707 10764283492 20464076842 21168385414 29601779603 40928153684 42336770828 45748204841 59203559206 91496409682 118407118412 182992819364 325619575633 503230253251 651239151266 1006460506502 1302478302532 2012921013004 5535532785761 11071065571522 22142131143044