Search a number
-
+
42359092335 = 32571377511307
BaseRepresentation
bin100111011100110011…
…000111010001101111
311001100002002211210200
4213130303013101233
51143222411423320
631243130204543
73026461226010
oct473463072157
9131302084720
1042359092335
1116a6767002a
128261b83753
133cc0a474a1
14209ba1d007
15117db7c290
hex9dccc746f

42359092335 has 96 divisors (see below), whose sum is σ = 84701140992. Its totient is φ = 19182528000.

The previous prime is 42359092331. The next prime is 42359092357. The reversal of 42359092335 is 53329095324.

It is a happy number.

42359092335 is a `hidden beast` number, since 4 + 2 + 3 + 590 + 9 + 23 + 35 = 666.

It is not a de Polignac number, because 42359092335 - 22 = 42359092331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42359092331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32408752 + ... + 32410058.

It is an arithmetic number, because the mean of its divisors is an integer number (882303552).

Almost surely, 242359092335 is an apocalyptic number.

42359092335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42359092335 is a deficient number, since it is larger than the sum of its proper divisors (42342048657).

42359092335 is a wasteful number, since it uses less digits than its factorization.

42359092335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 42359092335 in words is "forty-two billion, three hundred fifty-nine million, ninety-two thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 137 315 411 685 751 959 1233 1307 2055 2253 2877 3755 3921 4795 5257 6165 6535 6759 8631 9149 11265 11763 14385 15771 19605 26285 27447 33795 43155 45745 47313 58815 78855 82341 102887 137235 179059 236565 308661 411705 514435 537177 720209 895295 925983 981557 1253413 1543305 1611531 2160627 2685885 2944671 3601045 3760239 4629915 4907785 6267065 6481881 6870899 8057655 8834013 10803135 11280717 14723355 18801195 20612697 32409405 34354495 44170065 56403585 61838091 103063485 134473309 309190455 403419927 672366545 941313163 1210259781 2017099635 2823939489 4706565815 6051298905 8471818467 14119697445 42359092335