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42481307436 = 223316118110343
BaseRepresentation
bin100111100100000101…
…010100111100101100
311001122121002000101220
4213210011110330230
51144000203314221
631303213503340
73032504104161
oct474405247454
9131577060356
1042481307436
111701a655047
128296aa1b50
134010168709
1420add54068
15118976e0c6
hex9e4154f2c

42481307436 has 96 divisors (see below), whose sum is σ = 104582639616. Its totient is φ = 13403232000.

The previous prime is 42481307411. The next prime is 42481307437. The reversal of 42481307436 is 63470318424.

It is a super-2 number, since 2×424813074362 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42481307437) 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 31 ways as a sum of consecutive naturals, for example, 4102081 + ... + 4112423.

It is an arithmetic number, because the mean of its divisors is an integer number (1089402496).

Almost surely, 242481307436 is an apocalyptic number.

It is an amenable number.

42481307436 is an abundant number, since it is smaller than the sum of its proper divisors (62101332180).

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

42481307436 is a wasteful number, since it uses less digits than its factorization.

42481307436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 42481307436 in words is "forty-two billion, four hundred eighty-one million, three hundred seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 31 61 62 93 122 124 181 183 186 244 362 366 372 543 724 732 1086 1891 2172 3782 5611 5673 7564 10343 11041 11222 11346 16833 20686 22082 22444 22692 31029 33123 33666 41372 44164 62058 66246 67332 124116 132492 320633 342271 630923 641266 684542 961899 1026813 1261846 1282532 1369084 1872083 1892769 1923798 2053626 2523692 3744166 3785538 3847596 4107252 5616249 7488332 7571076 11232498 19558613 22464996 39117226 58034573 58675839 78234452 114197063 116069146 117351678 174103719 228394126 232138292 234703356 342591189 348207438 456788252 685182378 696414876 1370364756 3540108953 7080217906 10620326859 14160435812 21240653718 42481307436