Search a number
-
+
42408280320 = 283571577689
BaseRepresentation
bin100111011111101110…
…110000000100000000
311001110111122212000220
4213133232300010000
51143323004432240
631252044343040
73030626302140
oct473756600400
9131414585026
1042408280320
1116a9240675a
128276544a80
133ccacaa0c3
1420a4384920
1511831465d0
hex9dfbb0100

42408280320 has 144 divisors (see below), whose sum is σ = 154790321280. Its totient is φ = 9693315072.

The previous prime is 42408280289. The next prime is 42408280381. The reversal of 42408280320 is 2308280424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761965 + ... + 815724.

Almost surely, 242408280320 is an apocalyptic number.

42408280320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42408280320 is an abundant number, since it is smaller than the sum of its proper divisors (112382040960).

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

42408280320 is a wasteful number, since it uses less digits than its factorization.

42408280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577720 (or 1577706 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 42408280320 in words is "forty-two billion, four hundred eight million, two hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 1577689 3155378 4733067 6310756 7888445 9466134 11043823 12621512 15776890 18932268 22087646 23665335 25243024 31553780 33131469 37864536 44175292 47330670 50486048 55219115 63107560 66262938 75729072 88350584 94661340 100972096 110438230 126215120 132525876 151458144 165657345 176701168 189322680 201944192 220876460 252430240 265051752 302916288 331314690 353402336 378645360 403888384 441752920 504860480 530103504 605832576 662629380 706804672 757290720 883505840 1009720960 1060207008 1211665152 1325258760 1413609344 1514581440 1767011680 2019441920 2120414016 2650517520 2827218688 3029162880 3534023360 4240828032 5301035040 6058325760 7068046720 8481656064 10602070080 14136093440 21204140160 42408280320