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42031041104 = 2413418635711
BaseRepresentation
bin100111001001001111…
…101100101001010000
311000111012211010010002
4213021033230221100
51142034421303404
631150411025132
73015365645303
oct471117545120
9130435733102
1042031041104
1116909477308
12819013b1a8
133c6aaa7730
14206a226b3a
15115ee7bc1e
hex9c93eca50

42031041104 has 80 divisors (see below), whose sum is σ = 89958242304. Its totient is φ = 18900556800.

The previous prime is 42031041103. The next prime is 42031041109. The reversal of 42031041104 is 40114013024.

It is a super-2 number, since 2×420310411042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42031041103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7356809 + ... + 7362519.

Almost surely, 242031041104 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 42031041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44979121152).

42031041104 is an abundant number, since it is smaller than the sum of its proper divisors (47927201200).

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

42031041104 is a wasteful number, since it uses less digits than its factorization.

42031041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42031041104 its reverse (40114013024), we get a palindrome (82145054128).

The spelling of 42031041104 in words is "forty-two billion, thirty-one million, forty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 863 1066 1726 2132 3452 4264 5711 6904 8528 11219 11422 13808 22438 22844 35383 44876 45688 70766 74243 89752 91376 141532 148486 179504 234151 283064 296972 459979 468302 566128 593944 919958 936604 1187888 1839916 1873208 3043963 3679832 3746416 4928593 6087926 7359664 9857186 12175852 19714372 24351704 39428744 48703408 64071709 78857488 128143418 202072313 256286836 404144626 512573672 808289252 1025147344 1616578504 2626940069 3233157008 5253880138 10507760276 21015520552 42031041104