990990144000
990,990,144,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 990990144000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
990990144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 990990144000:
29 × 32 × 53 × 19 × 23 × 31 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 23 × 31 × 127)See below for interesting mathematical facts about the number 990990144000 from the Numbermatics database.
Names of 990990144000
- Cardinal: 990990144000 can be written as Nine hundred ninety billion, nine hundred ninety million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 9.90990144 × 1011
Factors of 990990144000
Divisors of 990990144000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 30 31 32 36 38 40 45 46 48 50 57 60 62 64 69 72 75 76 80 90 92 93 95 96 100 114 115 120 124 125 127 128 138 144 150 152 155 160 171 180 184 186 190 192 200 207 225 228 230 240 248 250 254 256 276 279 285 288 300 304 310 320 342 345 360 368 372 375 380 381 384 400 414 437 450 456 460 465 475 480 496 500 508 512 552 558 570 575 576 589 600 608 620 635 640 684 690 713 720 736 744 750 760 762 768 775 800 828 855 874 900 912 920 930 950 960 992 1000 1016 1035 1104 1116 1125 1140 1143 1150 1152 1178 1200 1216 1240 1270 1280 1311 1368 1380 1395 1425 1426 1440 1472 1488 1500 1520 1524 1536 1550 1600 1656 1710 1725 1748 1767 1800 1824 1840 1860 1900 1905 1920 1984 2000 2032 2070 2139 2185 2208 2232 2250 2280 2286 2300 2304 2325 2356 2375 2400 2413 2432 2480 2540 2560 2622 2736 2760 2790 2850 2852 2875 2880 2921 2944 2945 2976 3000 3040 3048 3100 3175 3200 3312 3420 3450 3496 3534 3565 3600 3648 3680 3720 3800 3810 3840 3875 3933 3937 3968 4000 4064 4140 4275 4278 4370 4416 4464 4500 4560 4572 4600 4608 4650 4712 4750 4800 4826 4864 4960 5080 5175 5244 5301 5472 5520 5580 5700 5704 5715 5750 5760 5842 5888 5890 5952 6000 6080 6096 6200 6350 6400 6417 6555 6624 6840 6900 6975 6992 7068 7125 7130 7200 7239 7296 7360 7440 7600 7620 7680 7750 7866 7874 7936 8000 8128 8280 8550 8556 8625 8740 8763 8832 8835 8928 9000 9120 9144 9200 9300 9424 9500 9525 9600 9652 9728 9920 10160 10350 10488 10602 10695 10925 10944 11040 11160 11400 11408 11430 11500 11520 11625 11684 11776 11780 11811 11904 12000 12065 12160 12192 12400 12700 12800 12834 13110 13248 13547 13680 13800 13950 13984 14136 14250 14260 14400 14478 14592 14605 14720 14725 14880 15200 15240 15500 15732 15748 15872 15875 16000 16256 16560 17100 17112 17250 17480 17526 17664 17670 17825 17856 18000 18240 18288 18400 18600 18848 19000 19050 19200 19304 19665 19685 19840 20320 20700 20976 21204 21375 21390 21717 21850 21888 22080 22320 22800 22816 22860 23000 23040 23250 23368 23560 23622 23808 24000 24130 24320 24384 24800 25400 25668 25875 26220 26289 26496 26505 27094 27360 27600 27900 27968 28272 28500 28520 28575 28800 28956 29184 29210 29440 29450 29760 30400 30480 31000 31464 31496 31750 32000 32085 32512 32775 33120 34200 34224 34500 34875 34960 35052 35328 35340 35433 35650 35712 36000 36195 36480 36576 36800 37200 37696 38000 38100 38400 38608 39330 39370 39680 40640 40641 41400 41952 42408 42750 42780 43434 43700 43776 43815 44160 44175 44640 45600 45632 45720 46000 46500 46736 47120 47244 47616 47625 48000 48260 48640 48768 49600 50800 51336 51750 52440 52578 52992 53010 53475 54188 54625 54720 55200 55499 55800 55936 56544 57000 57040 57150 57600 57912 58420 58880 58900 59055 59520 60325 60800 60960 62000 62928 62992 63500 64000 64170 65024 65550 66240 67735 68400 68448 69000 69750 69920 70104 70680 70866 71300 71424 72000 72390 72960 73025 73152 73600 73625 74400 74803 75392 76000 76200 77216 78660 78740 79360 81280 81282 82800 83904 84816 85500 85560 86868 87400 87552 87630 88320 88350 89125 89280 90551 91200 91264 91440 92000 93000 93472 94240 94488 95250 96000 96520 97536 98325 98425 99200 101600 102672 103500 104880 105156 105984 106020 106950 108376 108585 109250 109440 110400 110998 111600 111872 113088 114000 114080 114300 115200 115824 116840 117800 118110 119040 120650 121600 121920 121923 124000 125856 125984 127000 128340 131100 131445 132480 132525 135470 136800 136896 138000 139500 139840 140208 141360 141732 142600 142848 142875 144000 144780 145920 146050 146304 147200 147250 148800 149606 150784 152000 152400 154432 157320 157480 160425 162560 162564 163875 165600 166497 167808 169632 171000 171120 173736 174800 175260 176640 176700 177165 178250 178560 180975 181102 182400 182528 182880 184000 186000 186944 188480 188976 190500 192000 193040 195072 196650 196850 198400 203200 203205 205344 207000 209760 210312 212040 213900 216752 217170 218500 218880 219075 220800 220875 221996 223200 223744 224409 226176 228000 228160 228600 231648 233680 235600 236220 238080 241300 243200 243840 243846 248000 251712 251968 254000 256680 262200 262890 264960 265050 267375 270940 271653 273600 273792 276000 277495 279000 279680 280416 282720 283464 285200 285750 288000 289560 292100 292608 294400 294500 295275 297600 299212 301568 301625 304000 304800 308864 314640 314960 320850 325120 325128 327750 331200 332994 335616 338675 339264 342000 342240 347472 349600 350520 353400 354330 356500 357120 361950 362204 364800 365056 365125 365760 368000 372000 373888 374015 376960 377952 381000 386080 393300 393700 396800 406400 406410 410688 414000 419520 420624 424080 427800 433504 434340 437000 437760 438150 441600 441750 443992 446400 448818 452352 452755 456000 456320 457200 463296 467360 471200 472440 482600 487680 487692 491625 492125 496000 499491 503424 503936 508000 513360 524400 525780 529920 530100 534750 541880 542925 543306 547200 547584 552000 554990 558000 559360 560832 565440 566928 570400 571500 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2992120 3023616 3048000 3048075 3088640 3146400 3149600 3208500 3251280 3259836 3285504 3286125 3312000 3329940 3356160 3364992 3366135 3386750 3392640 3422400 3440938 3468032 3474720 3496000 3505200 3534000 3543300 3551936 3571200 3590544 3619500 3622040 3648000 3657600 3706368 3738880 3740150 3769600 3779520 3860800 3901536 3933000 3937000 3995928 4064000 4064100 4074795 4106880 4162425 4195200 4206240 4240800 4278000 4335040 4343400 4346448 4381500 4416000 4429125 4439920 4464000 4486656 4488180 4523520 4527550 4535424 4563200 4572000 4632960 4673600 4712000 4724400 4787392 4826000 4876800 4876920 4994910 5034240 5039360 5080125 5133600 5161407 5202048 5244000 5257800 5301000 5327904 5385816 5418800 5429250 5433060 5472000 5475840 5549900 5559552 5593600 5608320 5610225 5654400 5669280 5704000 5791200 5795264 5842000 5905500 5952000 5984240 6047232 6096000 6096150 6177280 6292800 6299200 6417000 6502560 6519672 6572250 6624000 6659880 6729984 6732270 6773500 6785280 6791325 6844800 6881876 6936064 6937375 6949440 6992000 7010400 7068000 7086600 7103872 7181088 7239000 7244080 7315200 7477760 7480300 7539200 7559040 7721600 7803072 7866000 7874000 7991856 8128000 8128200 8149590 8213760 8324850 8390400 8412480 8481600 8556000 8602345 8670080 8686800 8692896 8763000 8858250 8879840 8928000 8976360 9055100 9070848 9126400 9144000 9265920 9347200 9350375 9424000 9448800 9574784 9652000 9753840 9989820 10068480 10078720 10160250 10267200 10322814 10404096 10488000 10515600 10602000 10655808 10771632 10837600 10858500 10866120 10944000 11099800 11119104 11216640 11220450 11308800 11318875 11338560 11408000 11582400 11590528 11684000 11811000 11968480 12192000 12192300 12487275 12585600 12598400 12834000 13005120 13039344 13144500 13248000 13319760 13459968 13464540 13547000 13570560 13582650 13689600 13763752 13874750 13898880 13984000 14020800 14136000 14173200 14207744 14362176 14478000 14488160 14630400 14960600 15118080 15240375 15443200 15484221 15606144 15732000 15748000 15983712 16256400 16299180 16427520 16649700 16780800 16824960 16830675 16963200 17112000 17204690 17340160 17373600 17385792 17526000 17716500 17759680 17856000 17952720 18110200 18141696 18288000 18531840 18694400 18700750 18848000 18897600 19149568 19304000 19507680 19979640 20320500 20373975 20534400 20645628 20808192 20812125 20976000 21031200 21204000 21311616 21543264 21675200 21717000 21732240 22199600 22433280 22440900 22617600 22637750 22677120 22816000 23164800 23181056 23368000 23622000 23936960 24384000 24384600 24974550 25171200 25196800 25668000 25807035 26010240 26078688 26289000 26639520 26929080 27094000 27165300 27379200 27527504 27749500 27797760 27968000 28041600 28051125 28272000 28346400 28415488 28724352 28956000 28976320 29921200 30236160 30480750 30886400 30968442 31212288 31464000 31496000 31967424 32512800 32598360 33299400 33649920 33661350 33926400 33956625 34224000 34409380 34680320 34747200 34771584 35052000 35433000 35519360 35905440 36220400 36576000 37388800 37401500 37696000 37795200 38299136 38608000 39015360 39959280 40641000 40747950 41068800 41291256 41624250 41952000 42062400 42408000 42623232 43011725 43086528 43350400 43434000 43464480 44399200 44881800 45275500 45354240 45632000 46329600 46362112 46736000 47244000 47873920 48769200 49949100 50342400 50393600 51336000 51614070 52020480 52157376 52578000 53279040 53858160 54188000 54330600 55055008 55499000 55595520 56083200 56102250 56544000 56692800 57448704 57912000 57952640 59842400 60961500 61936884 62424576 62436375 62928000 62992000 63934848 65025600 65196720 66598800 67299840 67322700 67852800 67913250 68448000 68818760 69494400 69543168 70104000 70866000 71038720 71810880 72440800 73152000 74803000 75590400 77216000 77421105 78030720 79918560 81282000 81495900 82137600 82582512 83248500 83904000 84124800 84153375 84816000 85246464 86023450 86173056 86700800 86868000 86928960 88798400 89763600 90551000 90708480 92659200 93472000 94488000 95747840 97538400 99898200 101869875 102672000 103228140 104040960 104314752 105156000 106558080 107716320 108376000 108661200 110110016 110998000 112166400 112204500 113088000 113385600 114897408 115824000 115905280 119684800 121923000 123873768 124872750 125856000 125984000 127869696 129035175 130051200 130393440 133197600 134645400 135826500 136896000 137637520 138988800 139086336 140208000 141732000 142077440 143621760 144881600 149606000 151180800 154432000 154842210 156061440 159837120 162564000 162991800 165165024 166497000 168249600 168306750 169632000 172046900 172346112 173401600 173736000 173857920 177596800 179527200 181102000 186944000 188976000 191495680 195076800 199796400 203739750 205344000 206456280 208629504 210312000 213116160 215058625 215432640 216752000 217322400 220220032 221996000 224409000 226771200 231648000 231810560 239369600 243846000 247747536 249745500 251712000 251968000 255739392 258070350 260102400 260786880 266395200 269290800 271653000 275275040 277977600 280416000 283464000 287243520 289763200 299212000 309684420 312122880 319674240 325128000 325983600 330330048 332994000 336499200 336613500 339264000 344093800 344692224 347472000 347715840 355193600 359054400 362204000 377952000 387105525 390153600 399592800 407479500 410688000 412912560 417259008 420624000 426232320 430117250 430865280 433504000 434644800 440440064 443992000 448818000 453542400 463296000 478739200 487692000 495495072 499491000 516140700 520204800 521573760 532790400 538581600 543306000 550550080 560832000 566928000 574487040 579526400 598424000 619368840 639348480 645175875 650256000 651967200 660660096 665988000 673227000 688187600 694944000 695431680 710387200 718108800 724408000 755904000 774211050 780307200 799185600 814959000 825825120 841248000 860234500 861730560 867008000 869289600 880880128 887984000 897636000 957478400 975384000 990990144 998982000 1032281400 1043147520 1065580800 1077163200 1086612000 1101100160 1133856000 1159052800 1196848000 1238737680 1278696960 1290351750 1300512000 1303934400 1321320192 1331976000 1346454000 1376375200 1389888000 1436217600 1448816000 1548422100 1560614400 1598371200 1629918000 1651650240 1682496000 1720469000 1723461120 1738579200 1775968000 1795272000 1935527625 1950768000 1981980288 1997964000 2064562800 2086295040 2131161600 2154326400 2173224000 2202200320 2267712000 2393696000 2477475360 2580703500 2601024000 2607868800 2642640384 2663952000 2692908000 2752750400 2872435200 2897632000 3096844200 3196742400 3259836000 3303300480 3440938000 3477158400 3551936000 3590544000 3871055250 3901536000 3963960576 3995928000 4129125600 4308652800 4346448000 4404400640 4787392000 4954950720 5161407000 5215737600 5327904000 5385816000 5505500800 5795264000 6193688400 6393484800 6519672000 6606600960 6881876000 7181088000 7742110500 7803072000 7927921152 7991856000 8258251200 8617305600 8692896000 9909901440 10322814000 10431475200 10655808000 10771632000 11011001600 12387376800 13039344000 13213201920 13763752000 14362176000 15484221000 15983712000 16516502400 17385792000 19819802880 20645628000 21543264000 22022003200 24774753600 26078688000 27527504000 30968442000 31967424000 33033004800 39639605760 41291256000 43086528000 49549507200 52157376000 55055008000 61936884000 66066009600 82582512000 99099014400 110110016000 123873768000 165165024000 198198028800 247747536000 330330048000 495495072000 990990144000
- Sum of all divisors σ(n): 4078916075520
- Sum of proper divisors (its aliquot sum) s(n): 3087925931520
- 990990144000 is an abundant number, because the sum of its proper divisors (3087925931520) is greater than itself. Its abundance is 2096935787520
Bases of 990990144000
- Binary: 11100110101110111001110110010010000000002
- Hexadecimal: 0xE6BB9D9200
- Base-36: CN95Y0W0
Squares and roots of 990990144000
- 990990144000 squared (9909901440002) is 982061465505140736000000
- 990990144000 cubed (9909901440003) is 973213233117790450708905984000000000
-
The
square root of 990990144000 is 995484.8788404575 -
The
cube root of 990990144000 is 9969.8764952287
Scales and comparisons
How big is 990990144000?- 990,990,144,000 seconds is equal to 31,510 years, 21 weeks, 6 days, 8 hours.
-
To count from 1 to 990,990,144,000 would take you about sixty-three thousand and twenty 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 990990144000 cubic inches would be around 830.8 feet tall.
Recreational maths with 990990144000
- 990990144000 backwards is 000441099099
- 990990144000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 990990144000's digits is 45
- More coming soon!
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"Number 990990144000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 990990144000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/990990144000/
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The information we have on file for 990990144000 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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