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42334024224204 = 223219214272282737
BaseRepresentation
bin10011010000000101010000…
…11110011100110111001100
312112220002111221021120012200
421220002220132130313030
521022100040200133304
6230011552055401500
711626350404441166
oct1150025036346714
9175802457246180
1042334024224204
1112541839035409
1248b874b083290
131a8110997627b
14a64d98b73936
154d631243ee39
hex2680a879cdcc

42334024224204 has 108 divisors (see below), whose sum is σ = 113018787534744. Its totient is φ = 13359265023744.

The previous prime is 42334024224197. The next prime is 42334024224221. The reversal of 42334024224204 is 40242242043324.

42334024224204 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 402 + 4 + 2 + 242 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17403924 + ... + 19686660.

Almost surely, 242334024224204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42334024224204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56509393767372).

42334024224204 is an abundant number, since it is smaller than the sum of its proper divisors (70684763310540).

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

42334024224204 is a wasteful number, since it uses less digits than its factorization.

42334024224204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284212 (or 2284188 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 42334024224204 its reverse (40242242043324), we get a palindrome (82576266267528).

The spelling of 42334024224204 in words is "forty-two trillion, three hundred thirty-four billion, twenty-four million, two hundred twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1427 1444 2166 2854 3249 4281 4332 5708 6498 8562 12843 12996 17124 25686 27113 51372 54226 81339 108452 162678 244017 325356 488034 515147 976068 1030294 1545441 2060588 2282737 3090882 4565474 4636323 6181764 6848211 9130948 9272646 13696422 18545292 20544633 27392844 41089266 43372003 82178532 86744006 130116009 173488012 260232018 390348027 520464036 780696054 824068057 1561392108 1648136114 2472204171 3257465699 3296272228 4944408342 6514931398 7416612513 9772397097 9888816684 13029862796 14833225026 19544794194 29317191291 29666450052 39089588388 58634382582 61891848281 117268765164 123783696562 185675544843 247567393124 371351089686 557026634529 742702179372 1114053269058 1175945117339 2228106538116 2351890234678 3527835352017 4703780469356 7055670704034 10583506056051 14111341408068 21167012112102 42334024224204