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42404044248 = 233217271127837
BaseRepresentation
bin100111011111011110…
…100101110111011000
311001110012200122020100
4213133132211313120
51143320413403443
631251413455400
73030545300106
oct473736456730
9131405618210
1042404044248
1116a8aa83075
128275041560
133cca155c57
1420a39a0c76
151182aab3d3
hex9df7a5dd8

42404044248 has 96 divisors (see below), whose sum is σ = 122049495360. Its totient is φ = 13254036480.

The previous prime is 42404044247. The next prime is 42404044279. The reversal of 42404044248 is 84244040424.

42404044248 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 404 + 4 + 248 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404044247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267786 + ... + 395622.

It is an arithmetic number, because the mean of its divisors is an integer number (1271348910).

Almost surely, 242404044248 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 42404044248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61024747680).

42404044248 is an abundant number, since it is smaller than the sum of its proper divisors (79645451112).

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

42404044248 is a wasteful number, since it uses less digits than its factorization.

42404044248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128137 (or 128130 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 42404044248 in words is "forty-two billion, four hundred four million, forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 271 306 408 542 612 813 1084 1224 1626 2168 2439 3252 4607 4878 6504 9214 9756 13821 18428 19512 27642 36856 41463 55284 82926 110568 127837 165852 255674 331704 383511 511348 767022 1022696 1150533 1534044 2173229 2301066 3068088 4346458 4602132 6519687 8692916 9204264 13039374 17385832 19559061 26078748 34643827 39118122 52157496 69287654 78236244 103931481 138575308 156472488 207862962 277150616 311794443 415725924 588945059 623588886 831451848 1177890118 1247177772 1766835177 2355780236 2494355544 3533670354 4711560472 5300505531 7067340708 10601011062 14134681416 21202022124 42404044248