106004627668800
106,004,627,668,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106004627668800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
106004627668800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 106004627668800:
26 × 32 × 52 × 7 × 199 × 739 × 7151
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 199 × 739 × 7151)See below for interesting mathematical facts about the number 106004627668800 from the Numbermatics database.
Names of 106004627668800
- Cardinal: 106004627668800 can be written as One hundred six trillion, four billion, six hundred twenty-seven million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.060046276688 × 1014
Factors of 106004627668800
Divisors of 106004627668800
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 140 144 150 160 168 175 180 192 199 200 210 224 225 240 252 280 288 300 315 320 336 350 360 398 400 420 448 450 480 504 525 560 576 597 600 630 672 700 720 739 796 800 840 900 960 995 1008 1050 1120 1194 1200 1260 1344 1393 1400 1440 1478 1575 1592 1600 1680 1791 1800 1990 2016 2100 2217 2240 2388 2400 2520 2786 2800 2880 2956 2985 3150 3184 3360 3582 3600 3695 3980 4032 4179 4200 4434 4776 4800 4975 5040 5173 5572 5600 5912 5970 6300 6368 6651 6720 6965 7151 7164 7200 7390 7960 8358 8400 8868 8955 9552 9950 10080 10346 11085 11144 11200 11824 11940 12537 12600 12736 13302 13930 14302 14328 14400 14780 14925 15519 15920 16716 16800 17736 17910 18475 19104 19900 20160 20692 20895 21453 22170 22288 23648 23880 25074 25200 25865 26604 27860 28604 28656 29560 29850 31038 31840 33255 33432 33600 34825 35472 35755 35820 36950 38208 39800 41384 41790 42906 44340 44576 44775 46557 47296 47760 50057 50148 50400 51730 53208 55425 55720 57208 57312 59120 59700 62076 62685 63680 64359 66510 66864 69650 70944 71510 71640 73900 77595 79600 82768 83580 85812 88680 89152 89550 93114 95520 100114 100296 100800 103460 104475 106416 107265 110850 111440 114416 114624 118240 119400 124152 125370 128718 129325 133020 133728 139300 141888 143020 143280 147061 147800 150171 155190 159200 165536 166275 167160 171624 177360 178775 179100 186228 191040 200228 200592 206920 208950 212832 214530 221700 222880 228832 232785 236480 238800 248304 250285 250740 257436 258650 266040 267456 278600 286040 286560 294122 295600 300342 310380 313425 318400 321795 331072 332550 334320 343248 354720 357550 358200 372456 387975 400456 401184 413840 417900 425664 429060 441183 443400 445760 450513 457664 465570 477600 496608 500570 501480 514872 517300 532080 536325 557200 572080 573120 588244 591200 600684 620760 626850 643590 665100 668640 686496 709440 715100 716400 735305 744912 750855 775950 800912 802368 827680 835800 858120 882366 886800 901026 931140 955200 993216 1001140 1002960 1029427 1029744 1034600 1064160 1072650 1114400 1144160 1163925 1176488 1182400 1201368 1241520 1251425 1253700 1287180 1323549 1330200 1337280 1372992 1423049 1430200 1432800 1470610 1489824 1501710 1551900 1601824 1608975 1655360 1671600 1716240 1764732 1773600 1802052 1862280 2002280 2005920 2058854 2059488 2069200 2128320 2145300 2205915 2228800 2252565 2288320 2327850 2352976 2402736 2483040 2502850 2507400 2574360 2647098 2660400 2846098 2860400 2865600 2941220 2979648 3003420 3088281 3103800 3203648 3217950 3343200 3432480 3529464 3547200 3604104 3676525 3724560 3754275 4004560 4011840 4117708 4118976 4138400 4269147 4290600 4411830 4505130 4655700 4705952 4805472 4966080 5005700 5014800 5147135 5148720 5284589 5294196 5320800 5692196 5720800 5882440 6006840 6176562 6207600 6435900 6617745 6686400 6864960 7058928 7115245 7208208 7353050 7449120 7508550 8009120 8235416 8276800 8538294 8581200 8823660 9010260 9264843 9311400 9411904 9610944 9961343 10011400 10029600 10294270 10297440 10569178 10588392 10641600 11029575 11262825 11384392 11441600 11764880 12013680 12353124 12415200 12807441 12871800 13235490 14117856 14230490 14416416 14706100 14898240 15017100 15441405 15853767 16018240 16470832 17076588 17162400 17647320 18020520 18529686 18622800 19922686 20022800 20059200 20588540 20594880 21138356 21176784 21345735 22059150 22525650 22768784 23529760 24027360 24706248 24830400 25614882 25735675 25743600 26422945 26470980 28235712 28460980 28832832 29412200 29884029 30034200 30882810 31707534 32941664 33088725 34153176 34324800 35294640 35576225 36041040 36992123 37059372 37245600 39845372 40045600 41177080 42276712 42353568 42691470 44118300 45051300 45537568 46324215 47059520 47561301 48054720 49412496 49806715 51229764 51471350 51487200 52845890 52941960 56921960 58824400 59768058 60068400 61765620 63415068 64037205 65883328 66177450 68306352 70589280 71152450 72082080 73984246 74118744 74491200 77207025 79268835 79690744 80091200 82354160 84553424 84707136 85382940 88236600 89652087 90102600 91075136 92648430 95122602 98824992 99613430 102459528 102942700 102974400 105691780 105883920 106728675 110976369 113843920 117648800 119536116 120136800 123531240 126830136 128074410 132114725 132354900 136612704 141178560 142304900 144164160 147968492 148237488 149420145 154414050 158537670 159381488 164708320 169106848 170765880 176473200 179304174 180205200 184960615 185296860 190245204 197649984 199226860 204919056 205885400 211383560 211767840 213457350 221952738 227687840 231621075 235297600 237806505 239072232 240273600 247062480 249033575 253660272 256148820 264229450 264709800 273225408 284609800 295936984 296474976 298840290 308828100 317075340 318762976 320186025 329416640 332929107 338213696 341531760 352946400 358608348 360410400 369921230 370593720 380490408 396344175 398453720 409838112 411770800 422767120 423535680 426914700 443905476 448260435 455375680 463242150 475613010 478144464 494124960 498067150 507320544 512297640 528458900 529419600 554881845 569219600 591873968 592949952 597680580 617656200 634150680 637525952 640372050 665858214 683063520 705892800 717216696 720820800 739842460 741187440 747100725 760980816 792688350 796907440 819676224 823541600 845534240 853829400 887810952 896520870 924803075 926484300 951226020 956288928 988249920 996134300 1014641088 1024595280 1051633211 1056917800 1058839200 1109763690 1138439200 1183747936 1189032525 1195361160 1235312400 1268301360 1280744100 1331716428 1366127040 1434433392 1479684920 1482374880 1494201450 1521961632 1585376700 1593814880 1647083200 1664645535 1691068480 1707658800 1775621904 1793041740 1849606150 1852968600 1902452040 1912577856 1992268600 2049190560 2103266422 2113835600 2117678400 2219527380 2241302175 2276878400 2367495872 2378065050 2390722320 2470624800 2536602720 2561488200 2663432856 2774409225 2868866784 2959369840 2964749760 2988402900 3043923264 3154899633 3170753400 3187629760 3329291070 3415317600 3551243808 3586083480 3699212300 3705937200 3804904080 3984537200 4098381120 4206532844 4227671200 4439054760 4482604350 4756130100 4781444640 4941249600 5073205440 5122976400 5258166055 5326865712 5548818450 5737733568 5918739680 5976805800 6309799266 6341506800 6658582140 6830635200 7102487616 7172166960 7361432477 7398424600 7411874400 7609808160 7969074400 8323227675 8413065688 8455342400 8878109520 8965208700 9464698899 9512260200 9562889280 10245952800 10516332110 10653731424 11097636900 11837479360 11953611600 12619598532 12683013600 13317164280 14344333920 14722864954 14796849200 14823748800 15219616320 15774498165 15938148800 16646455350 16826131376 17756219040 17930417400 18929397798 19024520400 20491905600 21032664220 21307462848 22084297431 22195273800 23907223200 25239197064 25366027200 26290830275 26634328560 28688667840 29445729908 29593698400 31548996330 33292910700 33652262752 35512438080 35860834800 36807162385 37858795596 38049040800 42065328440 44168594862 44390547600 47323494495 47814446400 50478394128 52581660550 53268657120 58891459816 59187396800 63097992660 66252892293 66585821400 67304525504 71721669600 73614324770 75717591192 76098081600 78872490825 84130656880 88337189724 88781095200 94646988990 100956788256 105163321100 106537314240 110421487155 117782919632 126195985320 132505784586 133171642800 143443339200 147228649540 151435182384 157744981650 168261313760 176674379448 177562190400 184035811925 189293977980 201913576512 210326642200 220842974310 235565839264 236617472475 252391970640 265011569172 266343285600 294457299080 302870364768 315489963300 331264461465 336522627520 353348758896 368071623850 378587955960 420653284400 441685948620 471131678528 473234944950 504783941280 530023138344 532686571200 552107435775 588914598160 605740729536 630979926600 662528922930 706697517792 736143247700 757175911920 841306568800 883371897240 946469889900 1009567882560 1060046276688 1104214871550 1177829196320 1261959853200 1325057845860 1413395035584 1472286495400 1514351823840 1656322307325 1682613137600 1766743794480 1892939779800 2120092553376 2208429743100 2355658392640 2523919706400 2650115691720 2944572990800 3028703647680 3312644614650 3533487588960 3785879559600 4240185106752 4416859486200 5047839412800 5300231383440 5889145981600 6625289229300 7066975177920 7571759119200 8833718972400 10600462766880 11778291963200 13250578458600 15143518238400 17667437944800 21200925533760 26501156917200 35334875889600 53002313834400 106004627668800
- Sum of all divisors σ(n): 433399070208000
- Sum of proper divisors (its aliquot sum) s(n): 327394442539200
- 106004627668800 is an abundant number, because the sum of its proper divisors (327394442539200) is greater than itself. Its abundance is 221389814870400
Bases of 106004627668800
- Binary: 110000001101001001000000010110100111111010000002
- Hexadecimal: 0x6069202D3F40
- Base-36: 11KPUQCSW0
Squares and roots of 106004627668800
- 106004627668800 squared (1060046276688002) is 11236981087200918522493440000
- 106004627668800 cubed (1060046276688003) is 1191171996270080793154282524990492672000000
-
The
square root of 106004627668800 is 10295854.8779982325 -
The
cube root of 106004627668800 is 47326.9236127459
Scales and comparisons
How big is 106004627668800?- 106,004,627,668,800 seconds is equal to 3,370,619 years, 13 weeks, 5 days, 20 hours.
-
To count from 1 to 106,004,627,668,800 would take you about eight million, four hundred twenty-six thousand, five hundred forty-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 106004627668800 cubic inches would be around 3943.9 feet tall.
Recreational maths with 106004627668800
- 106004627668800 backwards is 008866726400601
- The number of decimal digits it has is: 15
- The sum of 106004627668800's digits is 54
- More coming soon!
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The information we have on file for 106004627668800 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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