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42324526300 = 22527319672017
BaseRepresentation
bin100111011010101111…
…010000010011011100
311001020200001201010011
4213122233100103130
51143140034320200
631235453253004
73025561352260
oct473257202334
9131220051104
1042324526300
1116a4a101061
128252494164
133cb6834104
1420971c20a0
15117ab005ba
hex9dabd04dc

42324526300 has 144 divisors (see below), whose sum is σ = 108516610048. Its totient is φ = 14021683200.

The previous prime is 42324526253. The next prime is 42324526301. The reversal of 42324526300 is 362542324.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42324526301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20982892 + ... + 20984908.

Almost surely, 242324526300 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 42324526300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54258305024).

42324526300 is an abundant number, since it is smaller than the sum of its proper divisors (66192083748).

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

42324526300 is a wasteful number, since it uses less digits than its factorization.

42324526300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 42324526300 in words is "forty-two billion, three hundred twenty-four million, five hundred twenty-six thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 967 1085 1550 1934 2017 2170 3100 3868 4034 4340 4835 5425 6769 8068 9670 10085 10850 13538 14119 19340 20170 21700 24175 27076 28238 29977 33845 40340 48350 50425 56476 59954 62527 67690 70595 96700 100850 119908 125054 135380 141190 149885 169225 201700 209839 250108 282380 299770 312635 338450 352975 419678 437689 599540 625270 676900 705950 749425 839356 875378 1049195 1250540 1411900 1498850 1563175 1750756 1950439 2098390 2188445 2997700 3126350 3900878 4196780 4376890 5245975 6252700 7801756 8753780 9752195 10491950 10942225 13653073 19504390 20983900 21884450 27306146 39008780 43768900 48760975 54612292 60463609 68265365 97521950 120927218 136530730 195043900 241854436 273061460 302318045 341326825 423245263 604636090 682653650 846490526 1209272180 1365307300 1511590225 1692981052 2116226315 3023180450 4232452630 6046360900 8464905260 10581131575 21162263150 42324526300