13102820140144000
13,102,820,140,144,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13102820140144000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
13102820140144000 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 13102820140144000:
27 × 53 × 74 × 313 × 1072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 31 × 31 × 31 × 107 × 107)See below for interesting mathematical facts about the number 13102820140144000 from the Numbermatics database.
Names of 13102820140144000
- Cardinal: 13102820140144000 can be written as Thirteen quadrillion, one hundred two trillion, eight hundred twenty billion, one hundred forty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3102820140144 × 1016
Factors of 13102820140144000
Divisors of 13102820140144000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 80 98 100 107 112 124 125 128 140 155 160 175 196 200 214 217 224 245 248 250 280 310 320 343 350 392 400 428 434 448 490 496 500 535 560 620 640 686 700 749 775 784 800 856 868 875 896 961 980 992 1000 1070 1085 1120 1225 1240 1372 1400 1498 1519 1550 1568 1600 1712 1715 1736 1750 1922 1960 1984 2000 2140 2170 2240 2401 2450 2480 2675 2744 2800 2996 3038 3100 3136 3200 3317 3424 3430 3472 3500 3745 3844 3875 3920 3968 4000 4280 4340 4480 4802 4805 4900 4960 5243 5350 5425 5488 5600 5992 6076 6125 6200 6272 6634 6727 6848 6860 6944 7000 7490 7595 7688 7750 7840 8000 8560 8575 8680 9604 9610 9800 9920 10486 10633 10700 10850 10976 11200 11449 11984 12005 12152 12250 12400 13268 13375 13454 13696 13720 13888 14000 14980 15190 15376 15500 15680 16000 16585 17120 17150 17360 18725 19208 19220 19600 19840 20972 21266 21400 21700 21952 22400 22898 23219 23968 24010 24025 24304 24500 24800 26215 26536 26750 26908 27125 27440 27776 28000 29791 29960 30380 30752 31000 31360 33170 33635 34240 34300 34720 36701 37450 37975 38416 38440 39200 41944 42532 42800 42875 43400 43904 45796 46438 47089 47936 48020 48050 48608 49000 49600 52430 53072 53165 53500 53816 54250 54880 56000 57245 59582 59920 60025 60760 61504 62000 66340 67270 68480 68600 69440 73402 74431 74900 75950 76832 76880 78400 80143 82925 83888 85064 85600 85750 86800 91592 92876 93625 94178 95872 96040 96100 97216 98000 99200 102827 104860 106144 106330 107000 107632 108500 109760 112000 114490 116095 119164 119840 120050 120125 121520 123008 124000 131075 132680 134540 137200 138880 146804 148862 148955 149800 151900 153664 153760 156800 160286 162533 165850 167776 168175 170128 171200 171500 173600 183184 183505 185752 187250 188356 189875 192080 192200 194432 196000 205654 208537 209720 212288 212660 214000 215264 217000 219520 228980 232190 235445 238328 239680 240100 240250 243040 248000 256907 262150 265360 265825 269080 274400 286225 293608 297724 297910 299600 300125 303800 307328 307520 320572 325066 329623 331700 335552 336350 340256 342400 343000 347200 354919 366368 367010 371504 372155 374500 376712 379750 384160 384400 392000 400715 411308 414625 417074 419440 424576 425320 428000 430528 434000 457960 464380 470890 476656 479360 480200 480500 486080 496000 513814 514135 524300 530720 531650 538160 548800 561001 572450 580475 587216 595448 595820 599200 600250 607600 615040 641144 650132 655375 659246 663400 671104 672700 680512 686000 694400 709838 719789 732736 734020 743008 744310 744775 749000 753424 759500 768320 768800 784000 801430 812665 822616 829250 834148 838880 840875 850640 856000 861056 868000 915920 917525 928760 941780 953312 960400 961000 972160 1027628 1028270 1042685 1048600 1061440 1063300 1076320 1097600 1122002 1137731 1144900 1160950 1174432 1177225 1190896 1191640 1198400 1200500 1215200 1282288 1284535 1300264 1310750 1318492 1326800 1329125 1345400 1361024 1372000 1419676 1431125 1439578 1459759 1465472 1468040 1486016 1488620 1489550 1498000 1506848 1519000 1536640 1537600 1602860 1625330 1645232 1648115 1658500 1668296 1677760 1681750 1701280 1712000 1736000 1774595 1831840 1835050 1857520 1860775 1883560 1906624 1920800 1922000 2003575 2055256 2056540 2085370 2097200 2122880 2126600 2152640 2244004 2275462 2289800 2307361 2321900 2348864 2354450 2381792 2383280 2396800 2401000 2430400 2484433 2564576 2569070 2570675 2600528 2621500 2636984 2653600 2658250 2690800 2744000 2805005 2839352 2862250 2879156 2902375 2919518 2936080 2972032 2977240 2979100 2996000 3013696 3038000 3075200 3187637 3205720 3250660 3290464 3296230 3317000 3336592 3355520 3363500 3402560 3472000 3549190 3598945 3663680 3670100 3715040 3721550 3723875 3767120 3813248 3841600 3844000 3927007 4007150 4063325 4110512 4113080 4170740 4194400 4253200 4305280 4488008 4550924 4579600 4587625 4614722 4643800 4697728 4708900 4763584 4766560 4802000 4860800 4968866 5038523 5129152 5138140 5141350 5201056 5213425 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11130259840 11156729500 11286291520 11444510560 11516624000 11678072000 11937700565 12173721700 12322787680 12344381350 12495537040 12566422400 12742587200 12750548000 13478049025 13634568304 13643086360 13744524500 13912824800 14107864400 14280613760 14305638200 15095414908 15217152125 15307032874 15403484600 15582363776 15619421300 15708028000 15800808128 15928234000 16123273600 16349300800 16712780791 17043210380 17053857950 17251902752 17391031000 17493751856 17592991360 17603982400 17634830500 17850767200 17882047750 18203696000 18458888000 18869268635 19100320904 19254355750 19477954720 19524276625 19751010160 19875464000 19992859264 20154092000 20436626000 21304012975 21564878440 21828938176 21867189820 21991239200 22004978000 22313459000 22572583040 22889021120 23356144000 23875401130 24347443400 24645575360 24688762700 24991074080 25485174400 25501096000 26416976089 26956098050 27269136608 27286172720 27333987275 27489049000 27825649600 28215728800 28611276400 30190829816 30434304250 30614065748 30806969200 30860953375 31238842600 31416056000 31601616256 31856468000 32698601600 33425561582 34086420760 34107715900 34503805504 34782062000 34987503712 35207964800 35269661000 35701534400 35764095500 36917776000 37738537270 38200641808 38267582185 38508711500 38955909440 39048553250 39502020320 39750928000 40308184000 40873252000 42608025950 42634644875 43129756880 43657876352 43734379640 43982478400 44009956000 44626918000 45778042240 47750802260 48694886800 49291150720 49377525400 49982148160 51002192000 52833952178 53912196100 54538273216 54572345440 54667974550 54978098000 55651299200 56431457600 57222552800 59688502825 60381659632 60868608500 61228131496 61613938400 61721906750 62477685200 62832112000 63712936000 66851123164 67390245125 68172841520 68215431800 69007611008 69564124000 69975007424 70539322000 71403068800 71528191000 75477074540 76401283616 76535164370 77017423000 77911818880 78097106500 79004040640 80616368000 81746504000 83563903955 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1091446908800 1093359491000 1144451056000 1169894655370 1193770056500 1207633192640 1224562629920 1232278768000 1249553704000 1320848804450 1337022463280 1363456830400 1364308636000 1509541490800 1528025672320 1530703287400 1637852517518 1671278079100 1690686469696 1704321038000 1725190275200 1749375185600 1871831448592 1886926863500 1910032090400 1913379109250 1947795472000 1975101016000 2089097598875 2113358087120 2139235941248 2156487844000 2186718982000 2339789310740 2387540113000 2415266385280 2449125259840 2499107408000 2641697608900 2674044926560 2726913660800 2728617272000 2924736638425 3019082981600 3061406574800 3275705035036 3302122011125 3342556158200 3381372939392 3408642076000 3498750371200 3743662897184 3773853727000 3820064180800 3826758218500 3950202032000 4094631293795 4178195197750 4226716174240 4312975688000 4373437964000 4679578621480 4775080226000 4898250519680 5283395217800 5348089853120 5457234544000 5849473276850 6038165963200 6122813149600 6551410070072 6604244022250 6685112316400 6817284152000 7487325794368 7547707454000 7640128361600 7653516437000 8189262587590 8356390395500 8453432348480 8625951376000 8746875928000 9359157242960 9550160452000 10566790435600 10696179706240 11698946553700 12076331926400 12245626299200 13102820140144 13208488044500 13370224632800 13634568304000 14623683192125 14974651588736 15095414908000 15307032874000 16378525175180 16712780791000 16906864696960 17493751856000 18718314485920 19100320904000 20473156468975 21133580871200 23397893107400 24491252598400 26205640280288 26416976089000 26740449265600 29247366384250 30190829816000 30614065748000 32757050350360 33425561582000 37436628971840 38200641808000 40946312937950 42267161742400 46795786214800 52411280560576 52833952178000 53480898531200 58494732768500 60381659632000 61228131496000 65514100700720 66851123164000 74873257943680 81892625875900 84534323484800 93591572429600 102365782344875 104822561121152 105667904356000 116989465537000 122456262992000 131028201401440 133702246328000 163785251751800 187183144859200 204731564689750 211335808712000 233978931074000 262056402802880 267404492656000 327570503503600 374366289718400 409463129379500 422671617424000 467957862148000 524112805605760 655141007007200 818926258759000 935915724296000 1310282014014400 1637852517518000 1871831448592000 2620564028028800 3275705035036000 6551410070072000 13102820140144000
- Sum of all divisors σ(n): 39641314870160640
- Sum of proper divisors (its aliquot sum) s(n): 26538494730016640
- 13102820140144000 is an abundant number, because the sum of its proper divisors (26538494730016640) is greater than itself. Its abundance is 13435674589872640
Bases of 13102820140144000
- Binary: 1011101000110011110010000011000000001001010101100000002
- Hexadecimal: 0x2E8CF20C025580
- Base-36: 3L0K8H2NFR4
Squares and roots of 13102820140144000
- 13102820140144000 squared (131028201401440002) is 171683895624963231800340736000000
- 13102820140144000 cubed (131028201401440003) is 2249543205333148601362987759902472105984000000000
-
The
square root of 13102820140144000 is 114467550.5990409493 -
The
cube root of 13102820140144000 is 235751.7507123503
Scales and comparisons
How big is 13102820140144000?- 13,102,820,140,144,000 seconds is equal to 416,629,150 years, 40 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,102,820,140,144,000 would take you about one billion, two hundred forty-nine million, eight hundred eighty-seven thousand, four hundred fifty-two 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 13102820140144000 cubic inches would be around 19646 feet tall.
Recreational maths with 13102820140144000
- 13102820140144000 backwards is 00044104102820131
- 13102820140144000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13102820140144000's digits is 31
- More coming soon!
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"Number 13102820140144000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13102820140144000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13102820140144000/
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The information we have on file for 13102820140144000 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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