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42232340302320 = 24357142917591531
BaseRepresentation
bin10011001101000111110111…
…01001000100100111110000
312112112101001102001010101210
421212203323221010213300
521013413313104133240
6225453134100200120
711616120522403350
oct1146437351044760
9175471042033353
1042232340302320
11125026a9118933
1248a0ab1399040
131a7465332955c
14a600b0214b60
154d386047a780
hex2668fba449f0

42232340302320 has 160 divisors (see below), whose sum is σ = 149727861803520. Its totient is φ = 9646350658560.

The previous prime is 42232340302253. The next prime is 42232340302343. The reversal of 42232340302320 is 2320304323224.

42232340302320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6395046 + ... + 11196485.

It is an arithmetic number, because the mean of its divisors is an integer number (935799136272).

Almost surely, 242232340302320 is an apocalyptic number.

42232340302320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42232340302320 is an abundant number, since it is smaller than the sum of its proper divisors (107495521501200).

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

42232340302320 is a wasteful number, since it uses less digits than its factorization.

42232340302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17592983 (or 17592977 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 42232340302320 its reverse (2320304323224), we get a palindrome (44552644625544).

The spelling of 42232340302320 in words is "forty-two trillion, two hundred thirty-two billion, three hundred forty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1429 1680 2858 4287 5716 7145 8574 10003 11432 14290 17148 20006 21435 22864 28580 30009 34296 40012 42870 50015 57160 60018 68592 80024 85740 100030 114320 120036 150045 160048 171480 200060 240072 300090 342960 400120 480144 600180 800240 1200360 2400720 17591531 35183062 52774593 70366124 87957655 105549186 123140717 140732248 175915310 211098372 246281434 263872965 281464496 351830620 369422151 422196744 492562868 527745930 615703585 703661240 738844302 844393488 985125736 1055491860 1231407170 1407322480 1477688604 1847110755 1970251472 2110983720 2462814340 2955377208 3694221510 4221967440 4925628680 5910754416 7388443020 9851257360 14776886040 25138297799 29553772080 50276595598 75414893397 100553191196 125691488995 150829786794 175968084593 201106382392 251382977990 301659573588 351936169186 377074466985 402212764784 502765955980 527904253779 603319147176 703872338372 754148933970 879840422965 1005531911960 1055808507558 1206638294352 1407744676744 1508297867940 1759680845930 2011063823920 2111617015116 2639521268895 2815489353488 3016595735880 3519361691860 4223234030232 5279042537790 6033191471760 7038723383720 8446468060464 10558085075580 14077446767440 21116170151160 42232340302320