13628862048984000
13,628,862,048,984,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13628862048984000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2744 divisors.
13628862048984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred forty-four divisors.
Prime factorization of 13628862048984000:
26 × 3 × 53 × 76 × 136
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 13628862048984000 from the Numbermatics database.
Names of 13628862048984000
- Cardinal: 13628862048984000 can be written as Thirteen quadrillion, six hundred twenty-eight trillion, eight hundred sixty-two billion, forty-eight million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3628862048984 × 1016
Factors of 13628862048984000
Divisors of 13628862048984000
- Number of divisors d(n): 2744
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 125 130 140 147 150 156 160 168 169 175 182 192 195 196 200 208 210 224 240 245 250 260 273 280 294 300 312 320 325 336 338 343 350 364 375 390 392 400 416 420 448 455 480 490 500 507 520 525 546 560 588 600 624 637 650 672 676 686 700 728 735 750 780 784 800 832 840 845 875 910 960 975 980 1000 1014 1029 1040 1050 1092 1120 1176 1183 1200 1225 1248 1274 1300 1344 1352 1365 1372 1400 1456 1470 1500 1560 1568 1600 1625 1680 1690 1715 1750 1820 1911 1950 1960 2000 2028 2058 2080 2100 2184 2197 2240 2275 2352 2366 2400 2401 2450 2496 2535 2548 2600 2625 2704 2730 2744 2800 2912 2940 3000 3120 3136 3185 3250 3360 3380 3430 3500 3549 3640 3675 3822 3900 3920 4000 4056 4116 4160 4200 4225 4368 4394 4459 4550 4704 4732 4800 4802 4875 4900 5070 5096 5145 5200 5250 5408 5460 5488 5600 5824 5880 5915 6000 6125 6240 6370 6500 6591 6720 6760 6825 6860 7000 7098 7203 7280 7350 7644 7800 7840 8000 8112 8232 8281 8400 8450 8575 8736 8788 8918 9100 9408 9464 9555 9604 9750 9800 10140 10192 10290 10400 10500 10816 10920 10976 10985 11200 11375 11760 11830 12000 12005 12250 12480 12675 12740 13000 13182 13377 13520 13650 13720 14000 14196 14406 14560 14700 15288 15379 15600 15680 15925 16224 16464 16562 16800 16807 16900 17150 17472 17576 17745 17836 18200 18375 18928 19110 19208 19500 19600 20280 20384 20580 20800 21000 21125 21840 21952 21970 22295 22750 23520 23660 24000 24010 24500 24843 25350 25480 25725 26000 26364 26754 27040 27300 27440 28000 28392 28561 28812 29120 29400 29575 30576 30758 31200 31213 31850 32448 32928 32955 33124 33600 33614 33800 34125 34300 35152 35490 35672 36015 36400 36750 37856 38220 38416 39000 39200 40560 40768 41160 41405 42000 42250 42875 43680 43940 44590 45500 46137 47040 47320 47775 48020 49000 49686 50421 50700 50960 51450 52000 52728 53508 54080 54600 54880 54925 56000 56784 57122 57624 57967 58800 59150 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840043272250 855815513280 869187630675 873645003140 886199496000 891474493000 927133472720 936048217650 946054564000 960049454000 973490146356 993357292200 998451432160 1008051926700 1018827992000 1033899412000 1048374003768 1069769391600 1075255388480 1092056253925 1112560167264 1135265476800 1135738504082 1152059344800 1158916840900 1198141718592 1216862682945 1240679294400 1241696615250 1248064290200 1260064908375 1297986861808 1310467504710 1324476389600 1337211739500 1344069235600 1390700209080 1397832005024 1419081846000 1426359188800 1440074181000 1448646051125 1497677148240 1528241988000 1550849118000 1560080362750 1589371667520 1612883082720 1622483577260 1645799064000 1655595487000 1680086544500 1703607756123 1738375261350 1747290006280 1782948986000 1854266945440 1872096435300 1892109128000 1920098908000 1946980292712 1986714584400 1996902864320 2016103853400 2028104471575 2067798824000 2096748007536 2139538783200 2184112507850 2225120334528 2271477008164 2304118689600 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7787921170848 7946858337600 8064415413600 8112417886300 8386992030144 8518038780615 8691876306750 8736450031400 9085908032656 9271334727200 9360482176500 9734901463560 9933572922000 9984514321600 10080519267000 10140522357875 10483740037680 10697693916000 10920562539250 11125601672640 11357385040820 11520593448000 11589168409000 12168626829450 12480642902000 12979868618080 13104675047100 13244763896000 13440692356000 13628862048984 13907002090800 13978320050240 14196731301025 14976771482400 15575842341696 16128830827200 16224835772600 16380843808875 17036077561230 17383752613500 17472900062800 18171816065312 18542669454400 18720964353000 19469802927120 19867145844000 20161038534000 20281044715750 20967480075360 21395387832000 21841125078500 22714770081640 23178336818000 24337253658900 24961285804000 25959737236160 26209350094200 26881384712000 27257724097968 27814004181600 28393462602050 29953542964800 30421567073625 32449671545200 32761687617750 34072155122460 34767505227000 34945800125600 36343632130624 37441928706000 38939605854240 39734291688000 40322077068000 40562089431500 41934960150720 42590193903075 43682250157000 45429540163280 46356673636000 48674507317800 49922571608000 52418700188400 54515448195936 55628008363200 56786925204100 60843134147250 64899343090400 65523375235500 68144310244920 69535010454000 69891600251200 70983656505125 74883857412000 77879211708480 80644154136000 81124178863000 85180387806150 87364500314000 90859080326560 92713347272000 97349014635600 104837400376800 109030896391872 113573850408200 121686268294500 129798686180800 131046750471000 136288620489840 139070020908000 141967313010250 149767714824000 162248357726000 170360775612300 174729000628000 181718160653120 194698029271200 209674800753600 212950969515375 227147700816400 243372536589000 262093500942000 272577240979680 278140041816000 283934626020500 324496715452000 340721551224600 349458001256000 389396058542400 425901939030750 454295401632800 486745073178000 524187001884000 545154481959360 567869252041000 648993430904000 681443102449200 851803878061500 908590803265600 973490146356000 1048374003768000 1135738504082000 1362886204898400 1703607756123000 1946980292712000 2271477008164000 2725772409796800 3407215512246000 4542954016328000 6814431024492000 13628862048984000
- Sum of all divisors σ(n): 56878092892281648
- Sum of proper divisors (its aliquot sum) s(n): 43249230843297648
- 13628862048984000 is an abundant number, because the sum of its proper divisors (43249230843297648) is greater than itself. Its abundance is 29620368794313648
Bases of 13628862048984000
- Binary: 1100000110101101100000101110010001111101011011110000002
- Hexadecimal: 0x306B60B91F5BC0
- Base-36: 3Q710SH6AIO
Squares and roots of 13628862048984000
- 13628862048984000 squared (136288620489840002) is 185745880750236354815432256000000
- 13628862048984000 cubed (136288620489840003) is 2531504984912003969832139291651805627904000000000
-
The
square root of 13628862048984000 is 116742717.3273947739 -
The
cube root of 13628862048984000 is 238865.3738343129 - Being both a perfect square and a perfect cube, 13628862048984000 is also a
perfect sixth number .
Scales and comparisons
How big is 13628862048984000?- 13,628,862,048,984,000 seconds is equal to 433,355,656 years, 16 weeks, 4 days, 6 hours, 40 minutes.
-
To count from 1 to 13,628,862,048,984,000 would take you about one billion, three hundred million, sixty-six thousand, nine hundred sixty-eight 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 13628862048984000 cubic inches would be around 19905.4 feet tall.
Recreational maths with 13628862048984000
- 13628862048984000 backwards is 00048984026882631
- The number of decimal digits it has is: 17
- The sum of 13628862048984000's digits is 69
- More coming soon!
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"Number 13628862048984000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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Numbermatics. (2024). Number 13628862048984000 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/13628862048984000/
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The information we have on file for 13628862048984000 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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