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42133402220104 = 23131723245049357
BaseRepresentation
bin10011001010001111100100…
…11110001111011001001000
312112011220200020120210111101
421211013302132033121020
521010303201432020404
6225335452345511144
711606015661521146
oct1145076236173110
9175156606523441
1042133402220104
1112474748157338
12488589b1a24b4
131a68216825b40
14a593a621c596
154d0ebe5a32a4
hex2651f278f648

42133402220104 has 96 divisors (see below), whose sum is σ = 94168475001720. Its totient is φ = 17506540136448.

The previous prime is 42133402220099. The next prime is 42133402220113. The reversal of 42133402220104 is 40102220433124.

42133402220104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36264459912004 + 5868942308100 = 6021998^2 + 2422590^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21589407 + ... + 23459950.

Almost surely, 242133402220104 is an apocalyptic number.

It is an amenable number.

42133402220104 is an abundant number, since it is smaller than the sum of its proper divisors (52035072781616).

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

42133402220104 is a wasteful number, since it uses less digits than its factorization.

42133402220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45049439 (or 45049412 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 42133402220104 its reverse (40102220433124), we get a palindrome (82235622653228).

The spelling of 42133402220104 in words is "forty-two trillion, one hundred thirty-three billion, four hundred two million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 529 598 782 884 1058 1196 1564 1768 2116 2392 3128 4232 5083 6877 8993 10166 13754 17986 20332 27508 35972 40664 55016 71944 116909 233818 467636 935272 45049357 90098714 180197428 360394856 585641641 765839069 1036135211 1171283282 1531678138 2072270422 2342566564 3063356276 4144540844 4685133128 6126712552 8289081688 9955907897 13469757743 17614298587 19911815794 23831109853 26939515486 35228597174 39823631588 47662219706 53879030972 70457194348 79647263176 95324439412 107758061944 140914388696 190648878824 228985881631 309804428089 405128867501 457971763262 619608856178 810257735002 915943526524 1239217712356 1620515470004 1831887053048 2478435424712 3241030940008 5266675277513 10533350555026 21066701110052 42133402220104