72946289909680000
72,946,289,909,680,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 72946289909680000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
72946289909680000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 72946289909680000:
27 × 54 × 113 × 232 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 23 × 23 × 109 × 109 × 109)See below for interesting mathematical facts about the number 72946289909680000 from the Numbermatics database.
Names of 72946289909680000
- Cardinal: 72946289909680000 can be written as Seventy-two quadrillion, nine hundred forty-six trillion, two hundred eighty-nine billion, nine hundred nine million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 7.294628990968 × 1016
Factors of 72946289909680000
Divisors of 72946289909680000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 109 110 115 121 125 128 160 176 184 200 218 220 230 242 250 253 275 320 352 368 400 436 440 460 484 500 506 529 545 550 575 605 625 640 704 736 800 872 880 920 968 1000 1012 1058 1090 1100 1150 1199 1210 1250 1265 1331 1375 1408 1472 1600 1744 1760 1840 1936 2000 2024 2116 2180 2200 2300 2398 2420 2500 2507 2530 2645 2662 2725 2750 2783 2875 2944 3025 3200 3488 3520 3680 3872 4000 4048 4232 4360 4400 4600 4796 4840 5000 5014 5060 5290 5324 5450 5500 5566 5750 5819 5995 6050 6325 6655 6875 6976 7040 7360 7744 8000 8096 8464 8720 8800 9200 9592 9680 10000 10028 10120 10580 10648 10900 11000 11132 11500 11638 11881 11990 12100 12535 12650 13189 13225 13310 13625 13750 13915 13952 14375 14720 15125 15488 16000 16192 16928 17440 17600 18400 19184 19360 20000 20056 20240 21160 21296 21800 22000 22264 23000 23276 23762 23980 24200 25070 25300 26378 26450 26620 27250 27500 27577 27830 28750 29095 29975 30250 30613 31625 32384 33275 33856 34880 35200 36800 38368 38720 40000 40112 40480 42320 42592 43600 44000 44528 46000 46552 47524 47960 48400 50140 50600 52756 52900 53240 54500 55000 55154 55660 57500 57661 58190 59405 59950 60500 61226 62675 63250 64009 65945 66125 66550 67712 68125 69575 69760 73600 75625 76736 77440 80000 80224 80960 84640 85184 87200 88000 89056 92000 93104 95048 95920 96800 100280 101200 105512 105800 106480 109000 110000 110308 111320 115000 115322 116380 118810 119900 121000 122452 125350 126500 128018 130691 131890 132250 133100 136250 137885 139150 145079 145475 149875 151250 153065 153472 158125 160448 161920 166375 169280 170368 174400 176000 178112 184000 186208 190096 191840 193600 200560 202400 211024 211600 212960 218000 220000 220616 222640 230000 230644 232760 237620 239800 242000 244904 250700 253000 256036 261382 263780 264500 266200 272500 273263 275770 278300 288305 290158 290950 297025 299750 302500 303347 306130 313375 316250 320045 320896 329725 330625 332750 338560 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63431556443200 66314809008800 66923201752000 68947343960000 72081314140000 72946289909680 75357737510000 79289445554000 82893511261000 83654002190000 91182862387100 99111806942500 103616889076250 113978577983875 116714063855488 120572380016000 126863112886400 132629618017600 133846403504000 137894687920000 144162628280000 145892579819360 150715475020000 158578891108000 165787022522000 167308004380000 182365724774200 198223613885000 207233778152500 227957155967750 265259236035200 288325256560000 291785159638720 301430950040000 317157782216000 331574045044000 334616008760000 364731449548400 396447227770000 414467556305000 455914311935500 569892889919375 583570319277440 602861900080000 634315564432000 663148090088000 669232017520000 729462899096800 792894455540000 828935112610000 911828623871000 1139785779838750 1326296180176000 1458925798193600 1585788911080000 1657870225220000 1823657247742000 2279571559677500 2917851596387200 3171577822160000 3315740450440000 3647314495484000 4559143119355000 6631480900880000 7294628990968000 9118286238710000 14589257981936000 18236572477420000 36473144954840000 72946289909680000
- Sum of all divisors σ(n): 210736447937215200
- Sum of proper divisors (its aliquot sum) s(n): 137790158027535200
- 72946289909680000 is an abundant number, because the sum of its proper divisors (137790158027535200) is greater than itself. Its abundance is 64843868117855200
Bases of 72946289909680000
- Binary: 1000000110010100001000011101000011011111111000111100000002
- Hexadecimal: 0x1032843A1BFC780
- Base-36: JY9AUYITX8G
Squares and roots of 72946289909680000
- 72946289909680000 squared (729462899096800002) is 5321161211587082182557702400000000
- 72946289909680000 cubed (729462899096800003) is 388158968396575376512141838275484319232000000000000
-
The
square root of 72946289909680000 is 270085708.4513728949 -
The
cube root of 72946289909680000 is 417831.3955465685
Scales and comparisons
How big is 72946289909680000?- 72,946,289,909,680,000 seconds is equal to 2,319,466,381 years, 22 weeks, 5 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 72,946,289,909,680,000 would take you about six billion, nine hundred fifty-eight million, three hundred ninety-nine thousand, one hundred forty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 72946289909680000 cubic inches would be around 34819.3 feet tall.
Recreational maths with 72946289909680000
- 72946289909680000 backwards is 00008690998264927
- The number of decimal digits it has is: 17
- The sum of 72946289909680000's digits is 79
- More coming soon!
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The information we have on file for 72946289909680000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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