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42016423600 = 2452674433539
BaseRepresentation
bin100111001000010111…
…111011111010110000
311000110012022110200001
4213020113323322300
51142022201023400
631145125435344
73015130464544
oct471027737260
9130405273601
1042016423600
11169011a2a28
12818726bb54
133c67a5a218
1420682dda24
15115da40a6a
hex9c85fbeb0

42016423600 has 120 divisors (see below), whose sum is σ = 102711372480. Its totient is φ = 16513685760.

The previous prime is 42016423567. The next prime is 42016423609. The reversal of 42016423600 is 632461024.

It is not an unprimeable number, because it can be changed into a prime (42016423609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11870631 + ... + 11874169.

It is an arithmetic number, because the mean of its divisors is an integer number (855928104).

Almost surely, 242016423600 is an apocalyptic number.

42016423600 is a gapful number since it is divisible by the number (40) 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 42016423600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51355686240).

42016423600 is an abundant number, since it is smaller than the sum of its proper divisors (60694948880).

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

42016423600 is a wasteful number, since it uses less digits than its factorization.

42016423600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 42016423600 its reverse (632461024), we get a palindrome (42648884624).

The spelling of 42016423600 in words is "forty-two billion, sixteen million, four hundred twenty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 400 443 536 670 886 1072 1340 1675 1772 2215 2680 3350 3539 3544 4430 5360 6700 7078 7088 8860 11075 13400 14156 17695 17720 22150 26800 28312 29681 35390 35440 44300 56624 59362 70780 88475 88600 118724 141560 148405 176950 177200 237113 237448 283120 296810 353900 474226 474896 593620 707800 742025 948452 1185565 1187240 1415600 1484050 1567777 1896904 2371130 2374480 2968100 3135554 3793808 4742260 5927825 5936200 6271108 7838885 9484520 11855650 11872400 12542216 15677770 18969040 23711300 25084432 31355540 39194425 47422600 62711080 78388850 94845200 105041059 125422160 156777700 210082118 313555400 420164236 525205295 627110800 840328472 1050410590 1680656944 2100821180 2626026475 4201642360 5252052950 8403284720 10504105900 21008211800 42016423600