106420132436800
106,420,132,436,800 is an even composite number composed of eight prime numbers multiplied together.
106420132436800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 106420132436800:
26 × 52 × 7 × 13 × 17 × 29 × 181 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 17 × 29 × 181 × 8191)See below for interesting mathematical facts about the number 106420132436800 from the Numbermatics database.
Names of 106420132436800
- Cardinal: 106420132436800 can be written as One hundred six trillion, four hundred twenty billion, one hundred thirty-two million, four hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.064201324368 × 1014
Factors of 106420132436800
Divisors of 106420132436800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 29 32 34 35 40 50 52 56 58 64 65 68 70 80 85 91 100 104 112 116 119 130 136 140 145 160 170 175 181 182 200 203 208 221 224 232 238 260 272 280 290 320 325 340 350 362 364 377 400 406 416 425 442 448 455 464 476 493 520 544 560 580 595 650 680 700 724 725 728 754 800 812 832 850 884 905 910 928 952 986 1015 1040 1088 1105 1120 1160 1190 1267 1300 1360 1400 1448 1450 1456 1508 1547 1600 1624 1700 1768 1810 1820 1856 1885 1904 1972 2030 2080 2210 2240 2275 2320 2353 2380 2465 2534 2600 2639 2720 2800 2896 2900 2912 2975 3016 3077 3094 3248 3400 3451 3536 3620 3640 3770 3808 3944 4060 4160 4420 4525 4550 4640 4706 4760 4930 5068 5075 5200 5249 5278 5440 5525 5600 5792 5800 5824 5950 6032 6154 6188 6335 6409 6496 6800 6902 7072 7240 7280 7540 7616 7735 7888 8120 8191 8840 9050 9100 9280 9412 9425 9520 9860 10136 10150 10400 10498 10556 11050 11200 11584 11600 11765 11900 12064 12308 12325 12376 12670 12818 12992 13195 13600 13804 14144 14480 14560 15080 15385 15470 15776 16240 16382 16471 17255 17680 18100 18200 18824 18850 19040 19720 20272 20300 20800 20996 21112 21539 22100 23200 23530 23800 24128 24616 24650 24752 25340 25636 26245 26390 27200 27608 28960 29120 30160 30770 30940 31552 31675 32045 32480 32764 32942 34510 35360 36200 36400 36743 37648 37700 38080 38675 39440 40001 40544 40600 40955 41992 42224 43078 44200 44863 46400 47060 47600 49232 49300 49504 50680 51272 52490 52780 55216 57337 57920 58825 60320 61540 61880 63350 64090 64960 65528 65884 65975 68237 69020 70720 72400 72800 73486 75296 75400 76925 77350 78880 80002 81088 81200 81910 82355 83984 84448 86156 86275 88400 89233 89726 94120 95200 98464 98600 99008 101360 102544 104980 105560 106483 107695 110432 114674 117650 120640 123080 123760 126700 128180 131056 131225 131768 131950 136474 138040 139247 144800 145600 146972 150592 150800 153850 154700 157760 160004 160225 162400 163820 164710 167968 168896 172312 172550 176800 178466 179452 183715 188240 190400 196928 197200 200005 202720 204775 205088 209960 211120 212966 215390 220864 224315 229348 235300 237539 246160 247520 253400 256360 262112 262450 263536 263900 272948 276080 278494 280007 286685 289600 293944 301600 307700 309400 320008 320450 324800 327640 329420 335936 341185 344624 345100 353600 356932 358904 367430 376480 394400 400010 405440 409550 410176 411775 419920 422240 425932 430780 446165 448630 458696 470600 475078 477659 492320 495040 506800 512720 524224 524900 527072 527800 532415 538475 545896 552160 556988 560014 573370 587888 603200 615400 618800 624631 640016 640900 655280 658840 682370 689248 690200 696235 713864 717808 734860 745381 752960 788800 800020 819100 823550 839840 844480 851864 861560 892330 897260 917392 918575 941200 950156 955318 974729 984640 1000025 1013600 1025440 1049800 1054144 1055600 1064830 1076950 1091792 1104320 1113976 1120028 1121575 1146740 1160029 1175776 1187695 1230800 1237600 1249262 1280032 1281800 1310560 1317680 1364740 1378496 1380400 1392470 1400035 1427728 1433425 1435616 1469720 1482571 1490762 1600040 1638200 1647100 1662773 1679680 1703728 1705925 1723120 1784660 1794520 1810211 1834784 1837150 1882400 1900312 1910636 1949458 2000050 2027200 2050880 2099600 2111200 2129660 2153900 2183584 2227952 2230825 2240056 2243150 2293480 2320058 2351552 2375390 2388295 2461600 2475200 2498524 2560064 2563600 2621120 2635360 2662075 2729480 2760800 2784940 2800070 2855456 2866850 2871232 2939440 2965142 2981524 3088007 3123155 3200080 3276400 3294200 3325546 3407456 3411850 3446240 3481175 3569320 3589040 3620422 3669568 3674300 3726905 3764800 3800624 3821272 3898916 4000100 4038163 4199200 4222400 4259320 4307800 4367168 4455904 4461650 4480112 4486300 4586960 4640116 4750780 4776590 4873645 4923200 4997048 5127200 5270720 5324150 5458960 5521600 5569880 5600140 5710912 5733700 5800145 5878880 5930284 5938475 5963048 6176014 6246310 6400160 6552800 6588400 6651092 6814912 6823700 6892480 6962350 7000175 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134913961 141335705 142772800 144816880 148257100 149076200 152850880 154187384 154400350 155956640 161526520 162404060 166047952 166277300 170372800 171978236 172928392 176425949 181021100 185604640 190031200 191063600 192734230 194945800 197632448 199881920 201629656 201908150 202743632 203005075 207559940 209984476 214972795 216160490 222795200 224005600 226137128 232005800 237211360 238521920 247040560 249852400 252037070 253429540 258442432 259449925 259846496 262480595 266043680 269827922 282671410 289633760 296514200 298152400 300961913 308374768 308800700 311913280 316786925 323053040 324808120 327648191 332095904 332554600 343956472 345856784 352851898 362042200 367472833 371209280 380062400 382127200 385468460 389891600 403259312 403816300 405487264 406010150 415119880 419968952 429945590 432320980 448011200 452274256 464011600 474422720 481835575 494081120 499704800 504074140 506859080 518899850 519692992 524961190 532087360 539655844 540401225 558929267 565342820 579267520 593028400 596304800 601923826 616749536 617601400 630092675 633573850 646106080 649616240 655296382 664191808 665109200 674569805 687912944 691713568 705703796 706678525 724084400 730907503 734945666 764254400 770936920 779783200 806518624 807632600 810974528 812020300 830239760 839937904 859891180 864641960 882129745 904548512 928023200 963671150 988162240 999409600 1008148280 1013718160 1037799700 1049922380 1074863975 1079311688 1080802450 1117858534 1130685640 1186056800 1192609600 1203847652 1233499072 1235202800 1260185350 1267147700 1292212160 1299232480 1310592764 1312402975 1330218400 1349139610 1375825888 1383427136 1411407592 1413357050 1448168800 1461815006 1469891332 1504809565 1541873840 1559566400 1613037248 1615265200 1624040600 1638240955 1660479520 1679875808 1719782360 1729283920 1764259490 1809097024 1837364165 1856046400 1927342300 2016296560 2027436320 2075599400 2099844760 2149727950 2158623376 2161604900 2235717068 2261371280 2293537337 2372113600 2407695304 2470405600 2520370700 2534295400 2598464960 2621185528 2624805950 2660436800 2698279220 2751651776 2794646335 2822815184 2826714100 2896337600 2923630012 2939782664 3009619130 3083747680 3230530400 3248081200 3276481910 3320959040 3359751616 3372849025 3439564720 3458567840 3528518980 3654537515 3674728330 3854684600 3912504869 4032593120 4054872640 4151198800 4199689520 4299455900 4317246752 4323209800 4410648725 4471434136 4522742560 4587074674 4815390608 4940811200 5040741400 5068590800 5116352521 5242371056 5249611900 5396558440 5589292670 5645630368 5653428200 5847260024 5879565328 6019238260 6167495360 6461060800 6496162400 6552963820 6745698050 6879129440 6917135680 7057037960 7309075030 7349456660 7524047825 7709369200 7825009738 8065186240 8191204775 8302397600 8399379040 8598911800 8634493504 8646419600 8821297450 8942868272 9045485120 9174149348 9186820825 9501797539 9630781216 10081482800 10137181600 10232705042 10484742112 10499223800 10793116880 11178585340 11291260736 11306856400 11467686685 11694520048 11759130656 12038476520 12992324800 13105927640 13491396100 13758258880 13973231675 14114075920 14618150060 14698913320 15048095650 15418738400 15650019476 16382409550 16604795200 16798758080 17197823600 17292839200 17642594900 17885736544 18272687575 18348298696 18373641650 19003595078 19261562432 19562524345 20162965600 20274363200 20465410084 20969484224 20998447600 21586233760 22357170680 22613712800 22935373370 23389040096 23518261312 24076953040 25581762605 26211855280 26982792200 27946463350 28228151840 29236300120 29397826640 30096191300 30837476800 31300038952 32764819100 34395647200 34585678400 35285189800 35771473088 36545375150 36696597392 36747283300 38007190156 39125048690 40325931200 40930820168 41996895200 43172467520 44714341360 45227425600 45870746740 46778080192 47508987695 48153906080 51163525210 52423710560 53965584400 55892926700 56456303680 57338433425 58472600240 58795653280 60192382600 62600077904 65529638200 66512582773 68791294400 70570379600 73090750300 73393194784 73494566600 76014380312 78250097380 81861640336 83993790400 89428682720 91741493480 95017975390 96307812160 97812621725 102327050420 104847421120 107931168800 111785853400 114676866850 116945200480 117591306560 120384765200 125200155808 127908813025 131059276400 133025165546 141140759200 146181500600 146786389568 146989133200 152028760624 156500194760 163723280672 178857365440 183482986960 190035950780 195625243450 204654100840 215862337600 223571706800 229353733700 233890400960 237544938475 240769530400 250400311616 255817626050 262118552800 266050331092 282281518400 292363001200 293978266400 304057521248 313000389520 327446561344 332562913865 366965973920 380071901560 391250486900 409308201680 447143413600 458707467400 475089876950 481539060800 511635252100 524237105600 532100662184 584726002400 587956532800 608115042496 626000779040 665125827730 733931947840 760143803120 782500973800 818616403360 894286827200 917414934800 950179753900 1023270504200 1064201324368 1169452004800 1252001558080 1330251655460 1520287606240 1565001947600 1637232806720 1662814569325 1834829869600 1900359507800 2046541008400 2128402648736 2660503310920 3040575212480 3130003895200 3325629138650 3669659739200 3800719015600 4093082016800 4256805297472 5321006621840 6260007790400 6651258277300 7601438031200 8186164033600 10642013243680 13302516554600 15202876062400 21284026487360 26605033109200 53210066218400 106420132436800
- Sum of all divisors σ(n): 355008318013440
- Sum of proper divisors (its aliquot sum) s(n): 248588185576640
- 106420132436800 is an abundant number, because the sum of its proper divisors (248588185576640) is greater than itself. Its abundance is 142168053139840
Bases of 106420132436800
- Binary: 110000011001001110111100011000011011011010000002
- Hexadecimal: 0x60C9DE30DB40
- Base-36: 11Q0QF5ZR4
Squares and roots of 106420132436800
- 106420132436800 squared (1064201324368002) is 11325244587866051505994240000
- 106420132436800 cubed (1064201324368003) is 1205234028919857635566597109857964032000000
-
The
square root of 106420132436800 is 10316013.3984403103 -
The
cube root of 106420132436800 is 47388.6785432819
Scales and comparisons
How big is 106420132436800?- 106,420,132,436,800 seconds is equal to 3,383,831 years, 1 week, 4 days, 19 hours, 6 minutes, 40 seconds.
-
To count from 1 to 106,420,132,436,800 would take you about eight million, four hundred fifty-nine thousand, five hundred seventy-seven 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 106420132436800 cubic inches would be around 3949.1 feet tall.
Recreational maths with 106420132436800
- 106420132436800 backwards is 008634231024601
- 106420132436800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106420132436800's digits is 40
- More coming soon!
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The information we have on file for 106420132436800 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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