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42040238328 = 2335111965967
BaseRepresentation
bin100111001001110010…
…110010000011111000
311000111212010101100000
4213021302302003320
51142044300111303
631151340113000
73015540062334
oct471162620370
9130455111300
1042040238328
1116913689320
128193235760
133c6c977a8a
14206b53c7c4
151160b96da3
hex9c9cb20f8

42040238328 has 96 divisors (see below), whose sum is σ = 128810223360. Its totient is φ = 12739459680.

The previous prime is 42040238297. The next prime is 42040238369. The reversal of 42040238328 is 82383204024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42040238292 and 42040238301.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 961600 + ... + 1004367.

It is an arithmetic number, because the mean of its divisors is an integer number (1341773160).

Almost surely, 242040238328 is an apocalyptic number.

It is an amenable number.

42040238328 is an abundant number, since it is smaller than the sum of its proper divisors (86769985032).

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

42040238328 is a wasteful number, since it uses less digits than its factorization.

42040238328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965999 (or 1965983 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42040238328 in words is "forty-two billion, forty million, two hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 7128 10692 21384 1965967 3931934 5897901 7863868 11795802 15727736 17693703 21625637 23591604 35387406 43251274 47183208 53081109 64876911 70774812 86502548 106162218 129753822 141549624 159243327 173005096 194630733 212324436 259507644 318486654 389261466 424648872 477729981 519015288 583892199 636973308 778522932 955459962 1167784398 1273946616 1557045864 1751676597 1910919924 2335568796 3503353194 3821839848 4671137592 5255029791 7006706388 10510059582 14013412776 21020119164 42040238328