106488201648000
106,488,201,648,000 is an even composite number composed of six prime numbers multiplied together.
106488201648000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 106488201648000:
27 × 3 × 53 × 192 × 372 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 19 × 37 × 37 × 67 × 67)See below for interesting mathematical facts about the number 106488201648000 from the Numbermatics database.
Names of 106488201648000
- Cardinal: 106488201648000 can be written as One hundred six trillion, four hundred eighty-eight billion, two hundred one million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.06488201648 × 1014
Factors of 106488201648000
Divisors of 106488201648000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 37 38 40 48 50 57 60 64 67 74 75 76 80 95 96 100 111 114 120 125 128 134 148 150 152 160 185 190 192 200 201 222 228 240 250 268 285 296 300 304 320 335 361 370 375 380 384 400 402 444 456 475 480 500 536 555 570 592 600 608 640 670 703 722 740 750 760 800 804 888 912 925 950 960 1000 1005 1072 1083 1110 1140 1184 1200 1216 1273 1340 1369 1406 1425 1444 1480 1500 1520 1600 1608 1675 1776 1805 1824 1850 1900 1920 2000 2010 2109 2144 2166 2220 2280 2368 2375 2400 2432 2479 2546 2680 2738 2775 2812 2850 2888 2960 3000 3040 3200 3216 3350 3515 3552 3610 3648 3700 3800 3819 4000 4020 4107 4218 4288 4332 4440 4489 4560 4625 4736 4750 4800 4958 5025 5092 5360 5415 5476 5550 5624 5700 5776 5920 6000 6080 6365 6432 6700 6845 7030 7104 7125 7220 7296 7400 7437 7600 7638 8000 8040 8214 8375 8436 8576 8664 8880 8978 9025 9120 9250 9500 9600 9916 10050 10184 10545 10720 10830 10952 11100 11248 11400 11552 11840 12000 12160 12395 12730 12864 13357 13400 13467 13690 13875 14060 14208 14250 14440 14800 14874 15200 15276 16000 16080 16428 16750 16872 17328 17575 17760 17956 18050 18240 18500 19000 19095 19832 20100 20368 20535 21090 21440 21660 21904 22200 22445 22496 22800 23104 23680 24000 24187 24790 25125 25460 25728 26011 26714 26800 26934 27075 27380 27750 28120 28500 28880 29600 29748 30400 30552 31825 32160 32856 33500 33744 34225 34656 35150 35520 35912 36100 36480 37000 37185 38000 38190 39664 40071 40200 40736 41070 42180 42880 43320 43808 44400 44890 44992 45125 45600 46208 47101 48000 48374 49580 50250 50920 52022 52725 53428 53600 53868 54150 54760 55500 56240 57000 57760 59200 59496 60800 61104 61975 63650 64320 65712 66785 67000 67335 67488 68450 69312 70300 71040 71824 72200 72561 74000 74370 76000 76380 78033 79328 80142 80400 81472 82140 84360 85291 86640 87616 87875 88800 89780 89984 90250 91200 91723 94202 95475 96748 99160 100500 101840 102675 104044 105450 106856 107200 107736 108300 109520 111000 112225 112480 114000 115520 118400 118992 120935 122208 123950 127300 128640 130055 131424 133570 134000 134670 134976 135375 136900 138624 140600 141303 143648 144400 145122 148000 148740 152000 152760 156066 158656 159125 160284 160800 162944 164280 166093 168720 170582 171125 173280 175232 175750 177600 179560 180500 182400 183446 185925 188404 190950 193496 198320 200355 201000 203680 205350 208088 210900 213712 214400 215472 216600 219040 222000 224450 224960 228000 231040 235505 237984 241870 244416 247900 254600 255873 260110 262848 263625 267140 268000 269340 269952 270750 273800 275169 281200 282606 287296 288800 290244 296000 297480 304000 305520 309875 312132 317312 318250 320568 321600 328560 332186 333925 336675 337440 341164 342250 346560 351500 355200 359120 361000 362805 366892 371850 376808 381900 386992 390165 396640 400710 402000 407360 410700 416176 421800 426455 427424 430944 433200 438080 444000 448900 449920 456000 458615 471010 475968 477375 483740 488832 494209 495800 498279 509200 511746 513375 520220 525696 527250 534280 536000 538680 541500 547600 550338 561125 562400 565212 574592 577600 580488 592000 594960 604675 611040 619750 624264 636500 641136 643200 650275 657120 664372 667850 673350 674880 682328 684500 693120 703000 706515 718240 722000 725610 733784 743700 753616 763800 773984 780330 793280 801420 804000 814720 821400 830465 832352 843600 852910 854848 861888 866400 876160 888000 894919 897800 912000 917230 929625 942020 951936 954750 967480 988418 991600 996558 1001775 1018400 1023492 1026750 1040440 1054500 1068560 1072000 1077360 1083000 1095200 1100676 1122250 1124800 1130424 1155200 1160976 1177525 1189920 1209350 1222080 1239500 1248528 1273000 1279365 1282272 1300550 1314240 1328744 1335700 1346700 1349760 1364656 1369000 1375845 1406000 1413030 1436480 1444000 1451220 1467568 1482627 1487400 1507232 1527600 1547968 1560660 1586560 1602840 1608000 1620529 1642800 1660930 1664704 1669625 1683375 1687200 1705820 1709696 1723776 1732800 1742737 1776000 1789838 1795600 1814025 1834460 1859250 1884040 1909500 1934960 1950825 1976836 1983200 1993116 2003550 2036800 2046984 2053500 2080880 2109000 2132275 2137120 2154720 2166000 2190400 2201352 2244500 2249600 2260848 2293075 2321952 2355050 2379840 2418700 2444160 2471045 2479000 2491395 2497056 2546000 2558730 2564544 2601100 2628480 2657488 2671400 2684757 2693400 2729312 2738000 2751690 2812000 2826060 2872960 2888000 2902440 2935136 2965254 2974800 3014464 3023375 3055200 3095936 3121320 3155767 3205680 3216000 3241058 3251375 3285600 3321860 3329408 3339250 3366750 3374400 3411640 3465600 3485474 3532575 3579676 3591200 3628050 3668920 3718500 3768080 3819000 3869920 3901650 3953672 3966400 3986232 4007100 4073600 4093968 4107000 4152325 4161760 4218000 4264550 4274240 4309440 4332000 4380800 4402704 4474595 4489000 4521696 4586150 4643904 4710100 4759680 4837400 4861587 4942090 4958000 4982790 4994112 5008875 5092000 5117460 5129088 5202200 5228211 5314976 5342800 5369514 5386800 5458624 5476000 5503380 5624000 5652120 5776000 5804880 5870272 5887625 5930508 5949600 6028928 6046750 6110400 6145441 6242640 6311534 6396825 6411360 6482116 6502750 6571200 6643720 6678500 6733500 6748800 6823280 6879225 6970948 7065150 7159352 7182400 7256100 7337840 7413135 7437000 7536160 7638000 7739840 7803300 7907344 7932800 7972464 8014200 8102645 8187936 8214000 8304650 8323520 8436000 8529100 8548480 8618880 8664000 8713685 8805408 8949190 8978000 9043392 9070125 9172300 9287808 9420200 9467301 9674800 9723174 9754125 9884180 9916000 9965580 9988224 10017750 10184000 10234920 10404400 10456422 10629952 10661375 10685600 10739028 10773600 10917248 10952000 11006760 11248000 11304240 11465375 11609760 11740544 11775250 11861016 11899200 12093500 12220800 12290882 12355225 12456975 12485280 12623068 12793650 12822720 12964232 13005500 13142400 13287440 13357000 13423785 13467000 13646560 13758450 13941896 14130300 14318704 14364800 14512200 14675680 14826270 14874000 15072320 15276000 15479680 15606600 15778835 15814688 15944928 16028400 16205290 16375872 16428000 16609300 16647040 16872000 17058200 17328000 17427370 17610816 17662875 17898380 17956000 18086784 18140250 18344600 18436323 18840400 18934602 19349600 19446348 19508250 19768360 19832000 19931160 20035500 20368000 20469840 20761625 20808800 20912844 21259904 21322750 21371200 21478056 21547200 21904000 22013520 22372975 22608480 22930750 23219520 23550500 23722032 23798400 24187000 24307935 24581764 24710450 24913950 24970560 25246136 25587300 25645440 25928464 26011000 26141055 26574880 26714000 26847570 26934000 27293120 27516900 27883792 28260600 28637408 29024400 29351360 29652540 29748000 30144640 30552000 30727205 31213200 31557670 31629376 31889856 31984125 32056800 32410580 32751744 32856000 33112003 33218600 33744000 34116400 34396125 34854740 35221632 35325750 35796760 35912000 36280500 36689200 36872646 37065675 37680800 37869204 38699200 38892696 39016500 39536720 39664000 39862320 40071000 40513225 40939680 41523250 41617600 41825688 42645500 42742400 42956112 43094400 43568425 44027040 44745950 45216960 45861500 46439040 47101000 47336505 47444064 48374000 48615870 49163528 49420900 49827900 49941120 50492272 51174600 51856928 52022000 52282110 53149760 53428000 53695140 53868000 54586240 55033800 55767584 56521200 57274816 58048800 58702720 59305080 59496000 59959573 61104000 61454410 61776125 62284875 62426400 63115340 63258752 63779712 63968250 64113600 64821160 65712000 66224006 66437200 67118925 68232800 68792250 69709480 70651500 71593520 71824000 72561000 73378400 73745292 74131350 75361600 75738408 77398400 77785392 78033000 78894175 79073440 79724640 80142000 81026450 81879360 83046500 83235200 83651376 85291000 85912224 87136850 88054080 89491900 90433920 91723000 92181615 94202000 94673010 94888128 96748000 97231740 98327056 98841800 99336009 99655800 100984544 102349200 103713856 104044000 104564220 106299520 106856000 107390280 107736000 110067600 111535168 111864875 113042400 114549632 116097600 116763379 118610160 118992000 119919146 121539675 122908820 123552250 124569750 124852800 126230680 127936500 128227200 129642320 130705275 132448012 132874400 134237850 136465600 137584500 139418960 141303000 143187040 145122000 146756800 147490584 148262700 150723200 151476816 153636025 155570784 156066000 157788350 158146880 159449280 160284000 162052900 163758720 165560015 166093000 167302752 170582000 171824448 174273700 176108160 178983800 179878719 183446000 184363230 185328375 188404000 189346020 189776256 193496000 194463480 196654112 197683600 198672018 199311600 201969088 202566125 204698400 207427712 208088000 209128440 213712000 214780560 215472000 217842125 220135200 223070336 223729750 226084800 232195200 233526758 236682525 237220320 239838292 243079350 245817640 247104500 249139500 249705600 252461360 255873000 259284640 261410550 264896024 265748800 268475700 272931200 275169000 278837920 282606000 286374080 290244000 293513600 294981168 296525400 299797865 302953632 307272050 311141568 312132000 315576700 316293760 318898560 320568000 324105800 331120030 332186000 334605504 335594625 341164000 343648896 348547400 350290137 357967600 359757438 366892000 368726460 370656750 376808000 378692040 386992000 388926960 393308224 394470875 395367200 397344036 398623200 403938176 405132250 409396800 416176000 418256880 429561120 435684250 440270400 447459500 452169600 460908075 467053516 473365050 474440640 479676584 486158700 491635280 494209000 496680045 498279000 504922720 511746000 518569280 522821100 529792048 531497600 536951400 550338000 557675840 565212000 572748160 580488000 583816895 589962336 593050800 599595730 605907264 607698375 614544100 622283136 624264000 631153400 641136000 648211600 653526375 662240060 664372000 669211008 671189250 682328000 697094800 700580274 715935200 719514876 733784000 737452920 741313500 753616000 757384080 768180125 777853920 786616448 788941750 790734400 794688072 797246400 810264500 818793600 827800075 836513760 859122240 871368500 880540800 894919000 899393595 921816150 934107032 946730100 948881280 959353168 972317400 983270560 988418000 993360090 996558000 1009845440 1023492000 1037138560 1045642200 1059584096 1073902800 1100676000 1115351680 1130424000 1160976000 1167633790 1179924672 1183412625 1186101600 1199191460 1211814528 1215396750 1229088200 1248528000 1262306800 1296423200 1307052750 1324480120 1328744000 1342378500 1364656000 1394189600 1401160548 1431870400 1439029752 1467568000 1474905840 1482627000 1498989325 1514768160 1536360250 1555707840 1577883500 1581468800 1589376144 1594492800 1620529000 1655600150 1673027520 1718244480 1742737000 1751450685 1789838000 1798787190 1843632300 1868214064 1893460200 1918706336 1944634800 1966541120 1976836000 1986720180 1993116000 2019690880 2046984000 2091284400 2119168192 2147805600 2201352000 2218504201 2260848000 2304540375 2335267580 2359849344 2366825250 2372203200 2398382920 2430793500 2458176400 2483400225 2524613600 2592846400 2614105500 2648960240 2657488000 2684757000 2788379200 2802321096 2863740800 2878059504 2919084475 2949811680 2965254000 2997978650 3029536320 3072720500 3111415680 3155767000 3178752288 3241058000 3311200300 3346055040 3485474000 3502901370 3579676000 3597574380 3687264600 3736428128 3786920400 3837412672 3889269600 3933082240 3953672000 3973440360 3986232000 4093968000 4139000375 4182568800 4238336384 4295611200 4402704000 4437008402 4496967975 4609080750 4670535160 4733650500 4744406400 4796765840 4861587000 4916352800 4966800450 5049227200 5185692800 5228211000 5297920480 5369514000 5576758400 5604642192 5756119008 5838168950 5899623360 5930508000 5995957300 6059072640 6145441000 6311534000 6357504576 6482116000 6622400600 6655512603 6970948000 7005802740 7159352000 7195148760 7374529200 7472856256 7494946625 7573840800 7674825344 7778539200 7907344000 7946880720 7972464000 8278000750 8365137600 8591222400 8757253425 8874016804 8993935950 9218161500 9341070320 9467301000 9593531680 9723174000 9832705600 9933600900 10098454400 10456422000 10595840960 10739028000 11092521005 11209284384 11512238016 11676337900 11799246720 11861016000 11991914600 12290882000 12417001125 12623068000 12715009152 12964232000 13244801200 13311025206 13941896000 14011605480 14318704000 14390297520 14595422375 14749058400 14945712512 14989893250 15147681600 15557078400 15893761440 16556001500 16730275200 17514506850 17748033608 17987871900 18436323000 18682140640 18934602000 19187063360 19446348000 19665411200 19867201800 20912844000 21191681920 21478056000 22185042010 22418568768 22484839875 23024476032 23352675800 23722032000 23983829200 24581764000 24834002250 25246136000 25928464000 26489602400 26622050412 27883792000 28023210960 28780595040 29190844750 29498116800 29979786500 30295363200 31787522880 33112003000 33277563015 35029013700 35496067216 35975743800 36872646000 37364281280 37869204000 38374126720 38892696000 39734403600 41825688000 42956112000 43786267125 44370084020 44837137536 44969679750 46705351600 47967658400 49163528000 49668004500 50492272000 52979204800 53244100824 55462605025 56046421920 57561190080 58381689500 58996233600 59959573000 63575045760 66224006000 66555126030 70058027400 70992134432 71951487600 73745292000 74728562560 75738408000 77785392000 79468807200 83651376000 87572534250 88740168040 89939359500 93410703200 95935316800 98327056000 99336009000 105958409600 106488201648 110925210050 112092843840 115122380160 116763379000 119919146000 132448012000 133110252060 140116054800 141984268864 143902975200 147490584000 151476816000 158937614400 166387815075 175145068500 177480336080 179878719000 186821406400 191870633600 198672018000 212976403296 221850420100 224185687680 233526758000 239838292000 264896024000 266220504120 277313025125 280232109600 283968537728 287805950400 294981168000 317875228800 332775630150 350290137000 354960672160 359757438000 373642812800 397344036000 425952806592 443700840200 467053516000 479676584000 529792048000 532441008240 554626050250 560464219200 575611900800 665551260300 700580274000 709921344320 719514876000 794688072000 831939075375 851905613184 887401680400 934107032000 959353168000 1064882016480 1109252100500 1120928438400 1331102520600 1401160548000 1419842688640 1439029752000 1589376144000 1663878150750 1774803360800 1868214064000 2129764032960 2218504201000 2662205041200 2802321096000 2878059504000 3327756301500 3549606721600 4259528065920 4437008402000 5324410082400 5604642192000 6655512603000 7099213443200 8874016804000 10648820164800 13311025206000 17748033608000 21297640329600 26622050412000 35496067216000 53244100824000 106488201648000
- Sum of all divisors σ(n): 388707456599280
- Sum of proper divisors (its aliquot sum) s(n): 282219254951280
- 106488201648000 is an abundant number, because the sum of its proper divisors (282219254951280) is greater than itself. Its abundance is 175731053303280
Bases of 106488201648000
- Binary: 110000011011001101101110110111010010111100000002
- Hexadecimal: 0x60D9B76E9780
- Base-36: 11QW05TF9C
Squares and roots of 106488201648000
- 106488201648000 squared (1064882016480002) is 11339737090225109915904000000
- 106488201648000 cubed (1064882016480003) is 1207548209899196274437749474209792000000000
-
The
square root of 106488201648000 is 10319312.0724203317 -
The
cube root of 106488201648000 is 47398.7800857503
Scales and comparisons
How big is 106488201648000?- 106,488,201,648,000 seconds is equal to 3,385,995 years, 21 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 106,488,201,648,000 would take you about eight million, four hundred sixty-four thousand, nine hundred eighty-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 106488201648000 cubic inches would be around 3949.9 feet tall.
Recreational maths with 106488201648000
- 106488201648000 backwards is 000846102884601
- 106488201648000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106488201648000's digits is 48
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 106488201648000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 106488201648000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/106488201648000/
Chicago style:
Numbermatics. 2024. "Number 106488201648000 - Facts about the integer". https://numbermatics.com/n/106488201648000/
The information we have on file for 106488201648000 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!
Keywords: Divisors of 106488201648000, math, Factors of 106488201648000, curriculum, school, college, exams, university, Prime factorization of 106488201648000, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, four hundred eighty-eight billion, two hundred one million, six hundred forty-eight thousand.