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42440743956 = 223132817691259
BaseRepresentation
bin100111100001101010…
…100101110000010100
311001112202202011202210
4213201222211300110
51143404312301311
631255204233420
73031502241252
oct474152456024
9131482664683
1042440743956
1116aa976a106
12828539b870
134004935560
1420a87d55d2
151185e0a3a6
hex9e1aa5c14

42440743956 has 96 divisors (see below), whose sum is σ = 107249788800. Its totient is φ = 12984975360.

The previous prime is 42440743931. The next prime is 42440743957. The reversal of 42440743956 is 65934704424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42440743957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33709255 + ... + 33710513.

It is an arithmetic number, because the mean of its divisors is an integer number (1117185300).

Almost surely, 242440743956 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 42440743956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53624894400).

42440743956 is an abundant number, since it is smaller than the sum of its proper divisors (64809044844).

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

42440743956 is a wasteful number, since it uses less digits than its factorization.

42440743956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 42440743956 in words is "forty-two billion, four hundred forty million, seven hundred forty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 281 562 769 843 1124 1259 1538 1686 2307 2518 3076 3372 3653 3777 4614 5036 7306 7554 9228 9997 10959 14612 15108 16367 19994 21918 29991 32734 39988 43836 49101 59982 65468 98202 119964 196404 216089 353779 432178 648267 707558 864356 968171 1061337 1296534 1415116 1936342 2122674 2593068 2809157 2904513 3872684 4245348 4599127 5618314 5809026 8427471 9198254 11236628 11618052 12586223 13797381 16854942 18396508 25172446 27594762 33709884 37758669 50344892 55189524 75517338 151034676 272056051 544112102 816168153 1088224204 1632336306 3264672612 3536728663 7073457326 10610185989 14146914652 21220371978 42440743956