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42043033233 = 3461113257293
BaseRepresentation
bin100111001001111101…
…011100011010010001
311000112001101101020000
4213021331130122101
51142101004030413
631151520040213
73015602612625
oct471175343221
9130461341200
1042043033233
1116915218163
128194163069
133c70415c76
14206ba69185
15116104a073
hex9c9f5c691

42043033233 has 80 divisors (see below), whose sum is σ = 64870754256. Its totient is φ = 27126005760.

The previous prime is 42043033231. The next prime is 42043033261. The reversal of 42043033233 is 33233034024.

42043033233 is a `hidden beast` number, since 420 + 4 + 3 + 0 + 3 + 3 + 233 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20903184 + 42022130049 = 4572^2 + 204993^2 .

It is not a de Polignac number, because 42043033233 - 21 = 42043033231 is a prime.

It is a super-2 number, since 2×420430332332 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42043033197 and 42043033206.

It is not an unprimeable number, because it can be changed into a prime (42043033231) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 143491435 + ... + 143491727.

Almost surely, 242043033233 is an apocalyptic number.

It is an amenable number.

42043033233 is a deficient number, since it is larger than the sum of its proper divisors (22827721023).

42043033233 is a wasteful number, since it uses less digits than its factorization.

42043033233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 42043033233 its reverse (33233034024), we get a palindrome (75276067257).

The spelling of 42043033233 in words is "forty-two billion, forty-three million, thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 27 61 81 113 183 257 293 339 549 771 879 1017 1647 2313 2637 3051 4941 6893 6939 7911 9153 15677 17873 20679 20817 23733 29041 33109 47031 53619 62037 75301 87123 99327 141093 160857 186111 225903 261369 297981 423279 482571 558333 677709 784107 893943 1269837 1447713 1771501 2019649 2033127 2352321 2681829 4593361 5314503 6058947 6099381 8509013 13780083 15943509 18176841 25527039 41340249 47830527 54530523 76581117 124020747 143491581 163591569 229743351 372062241 519049793 689230053 1557149379 4671448137 14014344411 42043033233