106906642128000
106,906,642,128,000 is an even composite number composed of six prime numbers multiplied together.
106906642128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 106906642128000:
27 × 34 × 53 × 112 × 13 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 229 × 229)See below for interesting mathematical facts about the number 106906642128000 from the Numbermatics database.
Names of 106906642128000
- Cardinal: 106906642128000 can be written as One hundred six trillion, nine hundred six billion, six hundred forty-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.06906642128 × 1014
Factors of 106906642128000
Divisors of 106906642128000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 81 88 90 96 99 100 104 108 110 117 120 121 125 128 130 132 135 143 144 150 156 160 162 165 176 180 192 195 198 200 208 216 220 225 229 234 240 242 250 260 264 270 275 286 288 297 300 312 320 324 325 330 351 352 360 363 375 384 390 396 400 405 416 429 432 440 450 458 468 480 484 495 500 520 528 540 550 572 576 585 594 600 605 624 640 648 650 660 675 687 702 704 715 720 726 750 780 792 800 810 825 832 858 864 880 891 900 916 936 960 968 975 990 1000 1040 1053 1056 1080 1089 1100 1125 1144 1145 1152 1170 1188 1200 1210 1248 1287 1296 1300 1320 1350 1374 1375 1404 1408 1430 1440 1452 1485 1500 1560 1573 1584 1600 1620 1625 1650 1664 1716 1728 1755 1760 1782 1800 1815 1832 1872 1920 1936 1950 1980 2000 2025 2061 2080 2106 2112 2145 2160 2178 2200 2250 2288 2290 2340 2376 2400 2420 2475 2496 2519 2574 2592 2600 2640 2700 2748 2750 2808 2860 2880 2904 2925 2970 2977 3000 3025 3120 3146 3168 3200 3240 3250 3267 3300 3375 3432 3435 3456 3510 3520 3564 3575 3600 3630 3664 3744 3861 3872 3900 3960 4000 4050 4122 4125 4160 4212 4224 4290 4320 4356 4400 4455 4500 4576 4580 4680 4719 4752 4800 4840 4875 4950 4992 5038 5148 5184 5200 5265 5280 5400 5445 5496 5500 5616 5720 5725 5760 5808 5850 5940 5954 6000 6050 6183 6240 6292 6336 6435 6480 6500 6534 6600 6750 6864 6870 7020 7040 7128 7150 7200 7260 7328 7425 7488 7557 7722 7744 7800 7865 7920 8000 8100 8244 8250 8320 8424 8580 8640 8712 8775 8800 8910 8931 9000 9075 9152 9160 9360 9438 9504 9600 9680 9750 9801 9900 10076 10125 10296 10305 10368 10400 10530 10560 10725 10800 10890 10992 11000 11232 11440 11450 11583 11616 11700 11880 11908 12000 12100 12366 12375 12480 12584 12595 12672 12870 12960 13000 13068 13200 13500 13728 13740 14040 14157 14256 14300 14400 14520 14625 14656 14850 14885 14976 15114 15125 15444 15488 15600 15730 15840 16000 16200 16335 16488 16500 16848 17160 17175 17280 17424 17550 17600 17820 17862 17875 18000 18150 18304 18320 18549 18720 18876 19008 19305 19360 19500 19602 19800 20152 20250 20592 20610 20800 21060 21120 21450 21600 21780 21984 22000 22275 22464 22671 22880 22900 23166 23232 23400 23595 23760 23816 24000 24200 24732 24750 24960 25168 25190 25740 25920 26000 26136 26325 26400 26793 27000 27225 27456 27480 27709 28080 28314 28512 28600 28625 28800 29040 29250 29312 29700 29770 30228 30250 30888 30915 31200 31460 31680 32175 32400 32670 32747 32976 33000 33696 34320 34350 34848 35100 35200 35640 35724 35750 36000 36300 36640 37098 37125 37440 37752 37785 38016 38610 38720 39000 39204 39325 39600 40304 40500 41184 41220 41600 42120 42471 42900 43200 43560 43875 43968 44000 44550 44655 44928 45342 45375 45760 45800 46332 46464 46800 47190 47520 47632 48000 48400 49005 49464 49500 50336 50380 51480 51525 51840 52000 52272 52441 52650 52800 53586 53625 54000 54450 54912 54960 55418 56160 56628 57024 57200 57250 57915 58080 58500 59400 59540 60456 60500 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23997001600 24296964120 24542388000 24746907900 24919963200 25309337625 25381444000 25698712050 25916761728 25935624000 26396701760 26726660532 26996626800 27411959520 27610186500 27688848000 28554124500 29177577000 29450865600 29696289480 29903955840 29996252000 30371205150 30457732800 30933634875 31122748800 31149954000 31676042112 32395952160 32723184000 32894351424 32995877200 33408325665 33745783500 33981768000 34264949400 35341038720 35635547376 35910864000 35995502400 36549279360 36813582000 37120361850 37379944800 38072166000 38875142592 38903436000 39595052640 40494940200 41117939280 41244846500 41533272000 42440112000 42831186750 43194602880 44176298400 44544434220 44994378000 45686599200 46684123200 46724931000 47514063168 48593928240 49084776000 49493815800 49839926400 50618675250 50762888000 51397424100 51871248000 52793403520 53453321064 53993253600 54823919040 55220373000 55680542775 57108249000 58355154000 58901731200 59392578960 59992504000 60742410300 60915465600 61867269750 62299908000 64246780125 64791904320 65788702848 65991754400 66816651330 67491567000 67963536000 68529898800 71271094752 71991004800 73627164000 74240723700 74759889600 75928012875 76144332000 77750285184 77806872000 79190105280 80989880400 82235878560 82489693000 83066544000 85662373500 88352596800 89088868440 89988756000 91373198400 92800904625 93368246400 93449862000 95028126336 97187856480 98169552000 98987631600 101237350500 101525776000 102794848200 106906642128 107986507200 109647838080 110440746000 111361085550 114216498000 116710308000 118785157920 119985008000 121484820600 123734539500 124599816000 128493560250 129583808640 131983508800 133633302660 134983134000 137059797600 142542189504 147254328000 148481447400 149519779200 151856025750 152288664000 155613744000 158380210560 161979760800 164471757120 164979386000 167041628325 171324747000 176705193600 178177736880 179977512000 182746396800 185601809250 186899724000 194375712960 197975263200 202474701000 205589696400 213813284256 215973014400 220881492000 222722171100 228432996000 233420616000 237570315840 242969641200 247469079000 249199632000 256987120500 263967017600 267266605320 269966268000 274119595200 278402713875 285084379008 294508656000 296962894800 303712051500 304577328000 323959521600 328943514240 329958772000 334083256650 342649494000 356355473760 359955024000 371203618500 373799448000 388751425920 395950526400 404949402000 411179392800 427626568512 441762984000 445444342200 456865992000 466841232000 475140631680 485939282400 494938158000 513974241000 534533210640 539932536000 548239190400 556805427750 593925789600 607424103000 647919043200 659917544000 668166513300 685298988000 712710947520 742407237000 747598896000 791901052800 809898804000 822358785600 835208141625 855253137024 883525968000 890888684400 913731984000 971878564800 989876316000 1027948482000 1069066421280 1079865072000 1113610855500 1187851579200 1214848206000 1319835088000 1336333026600 1370597976000 1425421895040 1484814474000 1619797608000 1644717571200 1670416283250 1781777368800 1943757129600 1979752632000 2055896964000 2138132842560 2227221711000 2375703158400 2429696412000 2672666053200 2741195952000 2969628948000 3239595216000 3340832566500 3563554737600 3959505264000 4111793928000 4276265685120 4454443422000 4859392824000 5345332106400 5939257896000 6681665133000 7127109475200 8223587856000 8908886844000 9718785648000 10690664212800 11878515792000 13363330266000 17817773688000 21381328425600 26726660532000 35635547376000 53453321064000 106906642128000
- Sum of all divisors σ(n): 472064551718760
- Sum of proper divisors (its aliquot sum) s(n): 365157909590760
- 106906642128000 is an abundant number, because the sum of its proper divisors (365157909590760) is greater than itself. Its abundance is 258251267462760
Bases of 106906642128000
- Binary: 110000100111011001001000110110110011100100000002
- Hexadecimal: 0x613B246D9C80
- Base-36: 11W88EH400
Squares and roots of 106906642128000
- 106906642128000 squared (1069066421280002) is 11429030131084264368384000000
- 106906642128000 cubed (1069066421280003) is 1221839234093954379442970245681152000000000
-
The
square root of 106906642128000 is 10339566.8249690229 -
The
cube root of 106906642128000 is 47460.7827182273
Scales and comparisons
How big is 106906642128000?- 106,906,642,128,000 seconds is equal to 3,399,300 years, 27 weeks, 6 days.
-
To count from 1 to 106,906,642,128,000 would take you about eight million, four hundred ninety-eight thousand, two hundred fifty-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 106906642128000 cubic inches would be around 3955.1 feet tall.
Recreational maths with 106906642128000
- 106906642128000 backwards is 000821246609601
- 106906642128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106906642128000's digits is 45
- More coming soon!
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"Number 106906642128000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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The information we have on file for 106906642128000 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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