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42431411423304 = 233244911833110921
BaseRepresentation
bin10011010010111010101010…
…01101001000100001001000
312120020101220000110212102200
421221131111031020201020
521030144012311021204
6230124415445200200
711636365634122311
oct1151352515104110
9176211800425380
1042431411423304
111257a073622522
1249135a9a00060
131a8a35a080377
14a69996bbd608
154d8b120bb539
hex269755348848

42431411423304 has 96 divisors (see below), whose sum is σ = 115185120687000. Its totient is φ = 14110983290880.

The previous prime is 42431411423281. The next prime is 42431411423369. The reversal of 42431411423304 is 40332411413424.

42431411423304 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 1 + 411 + 4 + 233 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34258662548100 + 8172748875204 = 5853090^2 + 2858802^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 382481764 + ... + 382592684.

Almost surely, 242431411423304 is an apocalyptic number.

It is an amenable number.

42431411423304 is an abundant number, since it is smaller than the sum of its proper divisors (72753709263696).

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

42431411423304 is a wasteful number, since it uses less digits than its factorization.

42431411423304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123215 (or 123208 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 42431411423304 its reverse (40332411413424), we get a palindrome (82763822836728).

The spelling of 42431411423304 in words is "forty-two trillion, four hundred thirty-one billion, four hundred eleven million, four hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 449 898 1347 1796 2694 3592 4041 5388 8082 10776 11833 16164 23666 32328 35499 47332 70998 94664 106497 110921 141996 212994 221842 283992 332763 425988 443684 665526 851976 887368 998289 1331052 1996578 2662104 3993156 5313017 7986312 10626034 15939051 21252068 31878102 42504136 47817153 49803529 63756204 95634306 99607058 127512408 149410587 191268612 199214116 298821174 382537224 398428232 448231761 597642348 896463522 1195284696 1312528193 1792927044 2625056386 3585854088 3937584579 5250112772 7875169158 10500225544 11812753737 15750338316 23625507474 31500676632 47251014948 94502029896 589325158657 1178650317314 1767975475971 2357300634628 3535950951942 4714601269256 5303926427913 7071901903884 10607852855826 14143803807768 21215705711652 42431411423304