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12442143003168 = 2531097224352673
BaseRepresentation
bin1011010100001110100110…
…0000111001001000100000
31122001110100100010211222110
42311003221200321020200
53112323002102100133
642243501441035320
72422625621354664
oct265035140711040
948043310124873
1012442143003168
113a677573a523a
12148b454625b40
136c339b076a98
143102babd08a4
151689ae50ec63
hexb50e9839220

12442143003168 has 96 divisors (see below), whose sum is σ = 32705593373376. Its totient is φ = 4141674364928.

The previous prime is 12442143003167. The next prime is 12442143003247. The reversal of 12442143003168 is 86130034124421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×124421430031682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12442143003167) 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 15 ways as a sum of consecutive naturals, for example, 236188480 + ... + 236241152.

It is an arithmetic number, because the mean of its divisors is an integer number (340683264306).

Almost surely, 212442143003168 is an apocalyptic number.

It is an amenable number.

12442143003168 is an abundant number, since it is smaller than the sum of its proper divisors (20263450370208).

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

12442143003168 is a wasteful number, since it uses less digits than its factorization.

12442143003168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56026 (or 56018 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 12442143003168 its reverse (86130034124421), we get a palindrome (98572177127589).

The spelling of 12442143003168 in words is "twelve trillion, four hundred forty-two billion, one hundred forty-three million, three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1097 2194 2243 3291 4388 4486 6582 6729 8776 8972 13164 13458 17552 17944 26328 26916 35104 35888 52656 52673 53832 71776 105312 105346 107664 158019 210692 215328 316038 421384 632076 842768 1264152 1685536 2460571 2528304 4921142 5056608 7381713 9842284 14763426 19684568 29526852 39369136 57782281 59053704 78738272 115564562 118107408 118145539 173346843 231129124 236214816 236291078 346693686 354436617 462258248 472582156 693387372 708873234 924516496 945164312 1386774744 1417746468 1849032992 1890328624 2773549488 2835492936 3780657248 5547098976 5670985872 11341971744 129605656283 259211312566 388816968849 518422625132 777633937698 1036845250264 1555267875396 2073690500528 3110535750792 4147381001056 6221071501584 12442143003168