980128308224000
980,128,308,224,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 980128308224000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
980128308224000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 980128308224000:
213 × 53 × 13 × 47 × 612 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 47 × 61 × 61 × 421)See below for interesting mathematical facts about the number 980128308224000 from the Numbermatics database.
Names of 980128308224000
- Cardinal: 980128308224000 can be written as Nine hundred eighty trillion, one hundred twenty-eight billion, three hundred eight million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 9.80128308224 × 1014
Factors of 980128308224000
Divisors of 980128308224000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 47 50 52 61 64 65 80 94 100 104 122 125 128 130 160 188 200 208 235 244 250 256 260 305 320 325 376 400 416 421 470 488 500 512 520 610 611 640 650 752 793 800 832 842 940 976 1000 1024 1040 1175 1220 1222 1280 1300 1504 1525 1586 1600 1625 1664 1684 1880 1952 2000 2048 2080 2105 2350 2440 2444 2560 2600 2867 3008 3050 3055 3172 3200 3250 3328 3368 3721 3760 3904 3965 4000 4096 4160 4210 4700 4880 4888 5120 5200 5473 5734 5875 6016 6100 6110 6344 6400 6500 6656 6736 7442 7520 7625 7808 7930 8000 8192 8320 8420 9400 9760 9776 10240 10400 10525 10946 11468 11750 12032 12200 12220 12688 12800 13000 13312 13472 14335 14884 15040 15250 15275 15616 15860 16000 16640 16840 18605 18800 19520 19552 19787 19825 20480 20800 21050 21892 22936 23500 24064 24400 24440 25376 25600 25681 26000 26624 26944 27365 28670 29768 30080 30500 30550 31232 31720 32000 33280 33680 37210 37271 37600 39040 39104 39574 39650 40960 41600 42100 43784 45872 47000 48128 48373 48800 48880 50752 51200 51362 52000 52625 53248 53888 54730 57340 59536 60160 61000 61100 62464 63440 64000 66560 67360 71675 74420 74542 75200 76375 78080 78208 79148 79300 83200 84200 87568 91744 93025 94000 96256 96746 97600 97760 98935 99125 101504 102400 102724 104000 105250 106496 107776 109460 114680 119072 120320 122000 122200 124928 126880 128000 128405 133120 134720 136825 143350 148840 149084 150400 152750 156160 156416 158296 158600 166400 168400 174887 175136 183488 186050 186355 188000 192512 193492 195200 195520 197870 198250 203008 204800 205448 208000 210500 215552 218920 229360 238144 240640 241865 244000 244400 249856 253760 256000 256810 257231 266240 269440 273650 286700 297680 298168 300800 305500 312320 312832 316592 317200 332800 333853 336800 349774 350272 358375 366976 372100 372710 376000 385024 386984 390400 391040 395740 396500 406016 410896 416000 421000 431104 437840 458720 465125 476288 481280 483730 488000 488800 494675 499712 507520 512000 513620 514462 532480 538880 547300 573400 595360 596336 601600 611000 624640 625664 633184 634400 642025 665600 667706 673600 684125 699548 700544 716750 733952 744200 745420 752000 773968 780800 782080 791480 793000 812032 821792 832000 842000 862208 874435 875680 917440 930250 931775 952576 962560 967460 976000 977600 989350 1015040 1024000 1027240 1028924 1077760 1094600 1146800 1190720 1192672 1203200 1207007 1209325 1222000 1249280 1251328 1266368 1268800 1284050 1286155 1331200 1335412 1347200 1368250 1399096 1401088 1433500 1467904 1488400 1490840 1504000 1547936 1561600 1564160 1566541 1582960 1586000 1624064 1643584 1664000 1669265 1684000 1724416 1748870 1751360 1834880 1860500 1863550 1905152 1925120 1934920 1952000 1955200 1978700 2030080 2054480 2057848 2155520 2189200 2273531 2293600 2381440 2385344 2406400 2414014 2418650 2444000 2473375 2498560 2502656 2532736 2537600 2568100 2572310 2662400 2670824 2694400 2736500 2798192 2802176 2867000 2935808 2976800 2981680 3008000 3095872 3123200 3128320 3133082 3165920 3172000 3210125 3248128 3287168 3328000 3338530 3368000 3448832 3497740 3502720 3669760 3721000 3727100 3810304 3869840 3904000 3910400 3957400 4060160 4108960 4115696 4311040 4372175 4378400 4547062 4587200 4658875 4762880 4770688 4812800 4828028 4837300 4888000 4946750 5005312 5065472 5075200 5136200 5144620 5341648 5388800 5473000 5596384 5604352 5734000 5871616 5953600 5963360 6016000 6035035 6046625 6191744 6246400 6256640 6266164 6331840 6344000 6420250 6430775 6496256 6574336 6656000 6677060 6736000 6995480 7005440 7339520 7442000 7454200 7620608 7739680 7808000 7820800 7832705 7914800 8120320 8217920 8231392 8346325 8622080 8744350 8756800 9094124 9174400 9317750 9525760 9541376 9625600 9656056 9674600 9776000 9893500 10130944 10150400 10272400 10289240 10683296 10777600 10946000 11192768 11208704 11367655 11468000 11743232 11907200 11926720 12032000 12070070 12093250 12383488 12492800 12513280 12532328 12663680 12688000 12840500 12861550 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627643640 633184000 651681056 657433600 658511360 667706000 683730944 699548000 700544000 716337152 727529920 733952000 736274270 762060800 763310080 772484480 773968000 783270500 784554550 802068992 810475520 812032000 814601320 821792000 823139200 854663680 895421440 909412400 952576000 954137600 957156551 965605600 990679040 1002586240 1004229824 1013094400 1018251650 1028924000 1051893760 1053618176 1068329600 1119276800 1120870400 1136765500 1164047872 1178038832 1192672000 1207007000 1235975168 1238348800 1253232800 1255287280 1266368000 1303362112 1314867200 1317022720 1335412000 1367461888 1399096000 1401088000 1432674304 1455059840 1467904000 1472548540 1526620160 1544968960 1547936000 1566541000 1569109100 1604137984 1629202640 1643584000 1646278400 1709327360 1790842880 1818824800 1840685675 1905152000 1908275200 1914313102 1931211200 1961386375 1981358080 2005172480 2008459648 2026188800 2036503300 2057848000 2107236352 2136659200 2238553600 2273531000 2328095744 2356077664 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9887801344 9906790400 10025862400 10042298240 10130944000 10182516500 10426896896 10536181760 10683296000 11192768000 11640478720 11780388320 12359751680 12383488000 12532328000 12552872800 12833103872 13033621120 13148672000 13170227200 13674618880 14550598400 14725485400 15314504816 15449689600 15691091000 16041379840 16067677184 16292026400 16462784000 17093273600 17908428800 18188248000 18406856750 18624765952 18848621312 19082752000 19143131020 19312112000 20051724800 20084596480 20261888000 20365033000 20853793792 21366592000 22385536000 23280957440 23560776640 23928913775 24719503360 24766976000 25064656000 25105745600 26067242240 26297344000 26340454400 29101196800 29450970800 30629009632 30899379200 31382182000 32082759680 32135354368 32584052800 32925568000 34186547200 35816857600 36376496000 36813713500 37697242624 38165504000 38286262040 38624224000 40103449600 40169192960 40730066000 41707587584 42733184000 44771072000 46561914880 47121553280 47857827550 49439006720 49533952000 50129312000 50211491200 52134484480 52680908800 58202393600 58901941600 61258019264 61798758400 62764364000 64165519360 64270708736 65168105600 65851136000 68373094400 72752992000 73627427000 75394485248 76572524080 77248448000 80206899200 80338385920 81460132000 83415175168 85466368000 89542144000 93123829760 94243106560 95715655100 100258624000 100422982400 104268968960 116404787200 117803883200 119644568875 122516038528 123597516800 125528728000 128541417472 130336211200 131702272000 145505984000 147254854000 150788970496 153145048160 154496896000 160413798400 160676771840 162920264000 166830350336 170932736000 179084288000 188486213120 191431310200 200517248000 200845964800 208537937920 232809574400 235607766400 239289137750 245032077056 247195033600 251057456000 260672422400 263404544000 291011968000 294509708000 301577940992 306290096320 308993792000 320827596800 321353543680 325840528000 341865472000 376972426240 382862620400 401034496000 401691929600 417075875840 465619148800 471215532800 478578275500 490064154112 502114912000 521344844800 582023936000 589019416000 603155881984 612580192640 617987584000 642707087360 651681056000 753944852480 765725240800 802068992000 803383859200 834151751680 942431065600 957156551000 980128308224 1004229824000 1042689689600 1164047872000 1178038832000 1225160385280 1235975168000 1303362112000 1507889704960 1531450481600 1604137984000 1606767718400 1884862131200 1914313102000 1960256616448 2008459648000 2085379379200 2328095744000 2356077664000 2450320770560 2606724224000 3015779409920 3062900963200 3213535436800 3769724262400 3828626204000 3920513232896 4016919296000 4170758758400 4712155328000 4900641541120 5213448448000 6125801926400 7539448524800 7657252408000 7841026465792 8033838592000 9424310656000 9801283082240 10426896896000 12251603852800 15078897049600 15314504816000 16067677184000 18848621312000 19602566164480 20853793792000 24503207705600 30629009632000 37697242624000 39205132328960 49006415411200 61258019264000 75394485248000 98012830822400 122516038528000 196025661644800 245032077056000 490064154112000 980128308224000
- Sum of all divisors σ(n): 2741802038067456
- Sum of proper divisors (its aliquot sum) s(n): 1761673729843456
- 980128308224000 is an abundant number, because the sum of its proper divisors (1761673729843456) is greater than itself. Its abundance is 781545421619456
Bases of 980128308224000
- Binary: 110111101101101011111001111010010101100000000000002
- Hexadecimal: 0x37B6BE7A56000
- Base-36: 9NFCQ8JXFK
Squares and roots of 980128308224000
- 980128308224000 squared (9801283082240002) is 960651500582040346034176000000
- 980128308224000 cubed (9801283082240003) is 941561730058322155676588470565863424000000000
-
The
square root of 980128308224000 is 31307000.9458587395 -
The
cube root of 980128308224000 is 99333.1735830751
Scales and comparisons
How big is 980128308224000?- 980,128,308,224,000 seconds is equal to 31,165,048 years, 24 weeks, 1 day, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 980,128,308,224,000 would take you about seventy-seven million, nine hundred twelve thousand, six hundred twenty-one 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 980128308224000 cubic inches would be around 8277.8 feet tall.
Recreational maths with 980128308224000
- 980128308224000 backwards is 000422803821089
- 980128308224000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 980128308224000's digits is 47
- More coming soon!
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The information we have on file for 980128308224000 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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