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42324025524 = 223112961181253
BaseRepresentation
bin100111011010101101…
…010110000010110100
311001020122010021011220
4213122231112002310
51143134422304044
631235434430340
73025554165264
oct473255260264
9131218107156
1042324025524
1116a498998a0
1282522923b0
133cb66ba1b1
1420970d17a4
15117aa52019
hex9dab560b4

42324025524 has 96 divisors (see below), whose sum is σ = 113276499840. Its totient is φ = 12180134400.

The previous prime is 42324025511. The next prime is 42324025543. The reversal of 42324025524 is 42552042324.

42324025524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142882 + ... + 324134.

It is an arithmetic number, because the mean of its divisors is an integer number (1179963540).

Almost surely, 242324025524 is an apocalyptic number.

42324025524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42324025524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56638249920).

42324025524 is an abundant number, since it is smaller than the sum of its proper divisors (70952474316).

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

42324025524 is a wasteful number, since it uses less digits than its factorization.

42324025524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181361 (or 181359 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 42324025524 its reverse (42552042324), we get a palindrome (84876067848).

The spelling of 42324025524 in words is "forty-two billion, three hundred twenty-four million, twenty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 61 66 87 116 122 132 174 183 244 319 348 366 638 671 732 957 1276 1342 1769 1914 2013 2684 3538 3828 4026 5307 7076 8052 10614 19459 21228 38918 58377 77836 116754 181253 233508 362506 543759 725012 1087518 1993783 2175036 3987566 5256337 5981349 7975132 10512674 11056433 11962698 15769011 21025348 22112866 23925396 31538022 33169299 44225732 57819707 63076044 66338598 115639414 121620763 132677196 173459121 231278828 243241526 320636557 346918242 364862289 486483052 641273114 693836484 729724578 961909671 1282546228 1459449156 1923819342 3527002127 3847638684 7054004254 10581006381 14108008508 21162012762 42324025524