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144242223424221 = 3131729227102132369
BaseRepresentation
bin100000110011000000000010…
…011111010010001011011101
3200220201102101120001010011110
4200303000002133102023131
5122401231033144033341
61230435543533412233
742245104522316316
oct4063000237221335
9626642346033143
10144242223424221
1141a6186881062a
121421713893a079
136263ca2421090
14278950a2d360d
1511a21106ea216
hex8330027d22dd

144242223424221 has 128 divisors (see below), whose sum is σ = 228092092300800. Its totient is φ = 80225740062720.

The previous prime is 144242223424109. The next prime is 144242223424231. The reversal of 144242223424221 is 122424322242441.

It is not a de Polignac number, because 144242223424221 - 223 = 144242215035613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 144242223424221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144242223424231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4456167925 + ... + 4456200293.

It is an arithmetic number, because the mean of its divisors is an integer number (1781969471100).

Almost surely, 2144242223424221 is an apocalyptic number.

It is an amenable number.

144242223424221 is a deficient number, since it is larger than the sum of its proper divisors (83849868876579).

144242223424221 is a wasteful number, since it uses less digits than its factorization.

144242223424221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33679.

The product of its digits is 393216, while the sum is 39.

Adding to 144242223424221 its reverse (122424322242441), we get a palindrome (266666545666662).

The spelling of 144242223424221 in words is "one hundred forty-four trillion, two hundred forty-two billion, two hundred twenty-three million, four hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 13 17 29 39 51 87 221 227 377 493 663 681 1021 1131 1479 2951 3063 3859 6409 6583 8853 11577 13273 17357 19227 19749 29609 32369 39819 50167 52071 85579 88827 97107 111911 150501 225641 231767 256737 335733 384917 420797 503353 550273 676923 695301 938701 1154751 1262391 1454843 1510059 1650819 2816103 3012971 3940039 4364529 6543589 6721243 7153549 7347763 9038913 11820117 12203113 15957917 19630767 20163729 21460647 22043289 33048749 36609339 47873751 51220507 87376159 95520919 99146247 114261131 124911971 153661521 207452921 213085127 262128477 286562757 342783393 374735913 429633737 561828733 622358763 639255381 958413721 1288901211 1485394703 1623855623 1685486199 2770106651 2875241163 3622447159 4456184109 4871566869 7303773529 7502066023 8310319953 10867341477 12459378373 16293033257 21911320587 22506198069 37378135119 47091813067 48879099771 97526858299 127535122391 141275439201 211809432341 217559914667 292580574897 382605367173 635428297023 652679744001 1657956591083 2828278890671 3698518549339 4973869773249 8484836672013 11095555648017 48080741141407 144242223424221