385455474320400
385,455,474,320,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 385455474320400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1215 divisors.
385455474320400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 385455474320400:
24 × 32 × 52 × 112 × 1512 × 1972
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 151 × 151 × 197 × 197)See below for interesting mathematical facts about the number 385455474320400 from the Numbermatics database.
Names of 385455474320400
- Cardinal: 385455474320400 can be written as Three hundred eighty-five trillion, four hundred fifty-five billion, four hundred seventy-four million, three hundred twenty thousand, four hundred.
Scientific notation
- Scientific notation: 3.854554743204 × 1014
Factors of 385455474320400
Divisors of 385455474320400
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 99 100 110 120 121 132 144 150 151 165 176 180 197 198 200 220 225 240 242 264 275 300 302 330 360 363 394 396 400 440 450 453 484 495 528 550 591 600 604 605 660 720 726 755 788 792 825 880 900 906 968 985 990 1089 1100 1182 1200 1208 1210 1320 1359 1452 1510 1576 1584 1650 1661 1773 1800 1812 1815 1936 1970 1980 2167 2178 2200 2265 2364 2416 2420 2475 2640 2718 2904 2955 3020 3025 3152 3300 3322 3546 3600 3624 3630 3775 3940 3960 4334 4356 4400 4530 4728 4840 4925 4950 4983 5436 5445 5808 5910 6040 6050 6501 6600 6644 6795 7092 7248 7260 7550 7880 7920 8305 8668 8712 8865 9060 9075 9456 9680 9850 9900 9966 10835 10872 10890 11325 11820 12080 12100 13002 13200 13288 13590 14184 14520 14775 14949 15100 15760 16610 17336 17424 17730 18120 18150 18271 19503 19700 19800 19932 21670 21744 21780 22650 22801 23640 23837 24200 24915 26004 26576 27180 27225 28368 29040 29550 29747 29898 30200 32505 33220 33975 34672 35460 36240 36300 36542 38809 39006 39400 39600 39864 41525 43340 43560 44325 45300 45602 47280 47674 48400 49830 52008 54175 54360 54450 54813 59100 59494 59796 60400 65010 66440 67950 68403 70920 71511 72600 73084 74745 77618 78012 78800 79728 83050 86680 87120 88650 89241 90600 91204 91355 95348 97515 99660 104016 108350 108720 108900 109626 114005 116427 118200 118988 119185 119592 124575 130020 132880 135900 136806 141840 143022 145200 146168 148735 149490 155236 156024 162525 164439 166100 173360 177300 178482 181200 182408 182710 190696 194045 195030 199320 205209 214533 216700 217800 219252 228010 232854 236400 237976 238370 239184 249150 250811 260040 267723 271800 273612 274065 286044 292336 297470 298980 310472 312048 325050 327217 328878 332200 342015 349281 354600 356964 357555 364816 365420 373725 381392 388090 390060 398640 410418 426899 429066 433400 435600 438504 446205 456020 456775 465708 475952 476740 487575 498300 501622 520080 535446 543600 547224 548130 570025 572088 582135 594940 595925 597960 620944 650100 654434 657756 664400 684030 698562 709200 713928 715110 730840 743675 747450 752433 776180 780120 820836 822195 853798 858132 866800 877008 892410 912040 913550 931416 953480 970225 975150 981651 996600 1003244 1026045 1070892 1072665 1094448 1096260 1140050 1144176 1164270 1189880 1191850 1195920 1254055 1280697 1300200 1308868 1315512 1338615 1368060 1370325 1397124 1427856 1430220 1461680 1487350 1494900 1504866 1552360 1560240 1636085 1641672 1644390 1707596 1710075 1716264 1746405 1784820 1787775 1824080 1827100 1862832 1906960 1940450 1950300 1963302 1993200 2006488 2052090 2134495 2141784 2145330 2192520 2231025 2257299 2280100 2328540 2379760 2383700 2508110 2561394 2600400 2617736 2631024 2677230 2736120 2740650 2758921 2794248 2860440 2910675 2944953 2974700 2989800 3009732 3104720 3272170 3283344 3288780 3415192 3420150 3432528 3492810 3569640 3575550 3599387 3654200 3762165 3842091 3880900 3900600 3926604 4012976 4104180 4110975 4268990 4283568 4290660 4385040 4462050 4491797 4514598 4560200 4657080 4695889 4767400 4908255 5016220 5122788 5130225 5235472 5354460 5363325 5472240 5481300 5517842 5588496 5720880 5821350 5860159 5889906 5949400 5979600 6019464 6270275 6403485 6544340 6577560 6693075 6830384 6840300 6985620 7139280 7151100 7198774 7308400 7524330 7684182 7761800 7801200 7853208 8180425 8208360 8221950 8276763 8537980 8581320 8732025 8924100 8983594 9029196 9120400 9314160 9391778 9534800 9816510 10032440 10245576 10260450 10672475 10708920 10726650 10798161 10962600 11035684 11286495 11642700 11720318 11779812 11898800 12038928 12540550 12806970 13088680 13155120 13386150 13475391 13680600 13794605 13971240 14087667 14302200 14397548 14724765 15048660 15368364 15523600 15706416 16360850 16416720 16443900 16553526 17075960 17162640 17464050 17580477 17848200 17967188 17996935 18058392 18783556 18810825 19210455 19633020 20064880 20491152 20520900 21344950 21417840 21453300 21596322 21925200 22071368 22458985 22572990 23285400 23440636 23479445 23559624 24541275 24830289 25081100 25613940 26177360 26772300 26950782 27361200 27589210 27942480 28175334 28604400 28795096 29300795 29449530 30097320 30736728 32017425 32394483 32721700 32887800 33107052 34151920 34928100 35160954 35696400 35934376 35993870 36116784 37567112 37621650 38420910 39266040 40426173 41041800 41383815 42263001 42689900 42906600 43192644 44142736 44917970 45145980 46570800 46881272 46958890 47119248 49082550 49409767 49660578 50162200 51227880 52741431 53544600 53901564 53990805 55178420 56350668 56432475 57590192 58601590 58899060 60194640 61473456 64034850 64461749 64788966 65443400 65775600 66214104 67376955 68973025 69856200 70321908 70438335 71868752 71987740 73623825 75134224 75243300 76841820 78532080 80852346 82083600 82767630 84526002 85379800 85813200 86385288 87902385 89835940 89984675 90291960 93762544 93917780 96052275 98165100 98819534 99321156 100324400 102455760 105482862 107089200 107803128 107981610 110356840 112294925 112701336 112864950 117203180 117397225 117798120 124151445 128069700 128923498 129577932 130886800 132428208 134753910 137946050 139712400 140643816 140876670 143975480 146503975 147247650 148229301 150486600 153683640 161704692 161972415 165535260 169052004 170759600 172770576 175804770 179671880 179969350 180583920 187835560 192104550 193385247 196330200 197639068 198642312 202130865 206919075 210965724 211315005 215606256 215963220 220713680 224589850 225402672 225729900 234406360 234794450 235596240 247048835 248302890 256139400 257846996 259155864 263707155 269507820 269954025 275892100 281287632 281753340 287950960 293007950 294495300 296458602 300973200 307367280 322308745 323409384 323944830 331070520 336884775 338104008 351609540 352191675 359343760 359938700 375671120 384209100 386770494 392660400 395278136 397284624 404261730 413838150 421931448 422630010 431926440 439511925 444687903 449179700 451459800 468812720 469588900 494097670 496605780 512278800 515693992 518311728 527414310 539015640 539908050 543507437 551784200 563506680 580155741 586015900 588990600 592917204 620757225 644617490 646818768 647889660 662141040 673769550 676208016 703219080 704383350 709079239 719877400 741146505 768418200 773540988 790556272 808523460 809862075 827676300 843862896 845260020 863852880 879023850 884884009 889375806 898359400 902919600 939177800 966926235 988195340 993211560 1010654325 1031387984 1054828620 1056575025 1078031280 1079816100 1087014874 1103568400 1127013360 1160311482 1172031800 1177981200 1185834408 1235244175 1241514450 1289234980 1295779320 1318535775 1347539100 1406438160 1408766700 1418158478 1439754800 1482293010 1536836400 1547081976 1611543725 1617046920 1619724150 1630522311 1655352600 1690520040 1758047700 1769768018 1778751612 1796718800 1878355600 1933852470 1976390680 1986423120 2021308650 2109657240 2113150050 2127237717 2159632200 2174029748 2223439515 2320622964 2344063600 2371668816 2470488350 2483028900 2578469960 2591558640 2637071550 2654652027 2695078200 2717537185 2817533400 2836316956 2900778705 2964586020 3094163952 3223087450 3234093840 3239448300 3261044622 3310705200 3381040080 3516095400 3539536036 3545396195 3557503224 3705732525 3867704940 3952781360 4042617300 4219314480 4226300100 4254475434 4319264400 4348059496 4424420045 4446879030 4641245928 4834631175 4891566933 4940976700 4966057800 5156939920 5274143100 5309304054 5390156400 5435074370 5635066800 5672633912 5801557410 5929172040 6381713151 6446174900 6478896600 6522089244 7032190800 7079072072 7090792390 7115006448 7411465050 7735409880 7963956081 8085234600 8152611555 8452600200 8508950868 8696118992 8848840090 8893758060 9282491856 9669262350 9733724099 9783133866 9881953400 9932115600 10548286200 10618608108 10636188585 10870148740 11117197575 11345267824 11603114820 11858344080 12763426302 12892349800 12957793200 13044178488 13273260135 13587685925 14158144144 14181584780 14503893525 14822930100 15470819760 15927912162 16170469200 16305223110 16905200400 17017901736 17697680180 17726980975 17787516120 19338524700 19467448198 19566267732 19763906800 21096572400 21237216216 21272377170 21740297480 22122100225 22234395150 23206229640 24457834665 25526852604 25784699600 26088356976 26546520270 27175371850 28363169560 29007787050 29201172297 29645860200 31855824324 31908565755 32610446220 34035803472 35395360360 35453961950 35575032240 38677049400 38934896396 39132535464 39819780405 40763057775 42474432432 42544754340 43480594960 44244200450 44468790300 46412459280 48668620495 48915669330 51053705208 53093040540 53180942925 54350743700 56726339120 58015574100 58402344594 59291720400 63711648648 63817131510 65220892440 66366300675 70790720720 70907923900 77354098800 77869792792 78265070928 79639560810 81526115550 85089508680 87603516891 88488400900 88937580600 97337240990 97831338660 102107410416 106186081080 106361885850 107070965089 108701487400 116031148200 116804689188 122289173325 127423297296 127634263020 130441784880 132732601350 141815847800 146005861485 155739585584 159279121620 159542828775 163052231100 170179017360 175207033782 176976801800 177875161200 194674481980 195662677320 199098902025 212372162160 212723771700 214141930178 217402974800 232062296400 233609378376 243343102475 244578346650 255268526040 265465202700 283631695600 292011722970 318558243240 319085657550 321212895267 326104462200 350414067564 353953603600 389348963960 391325354640 398197804050 425447543400 428283860356 438017584455 467218756752 486686204950 489156693300 510537052080 530930405400 535354825445 584023445940 637116486480 638171315100 642425790534 652208924400 700828135128 730029307425 778697927920 796395608100 850895086800 856567720712 876035168910 963638685801 973372409900 978313386600 1061860810800 1070709650890 1168046891880 1276342630200 1284851581068 1401656270256 1460058614850 1592791216200 1606064476335 1713135441424 1752070337820 1927277371602 1946744819800 1956626773200 2141419301780 2190087922275 2336093783760 2552685260400 2569703162136 2676774127225 2920117229700 3185582432400 3212128952670 3504140675640 3854554743204 3893489639600 4282838603560 4380175844550 4818193429005 5139406324272 5353548254450 5840234459400 6424257905340 7008281351280 7709109486408 8030322381675 8565677207120 8760351689100 9636386858010 10707096508900 11680468918800 12848515810680 15418218972816 16060644763350 17520703378200 19272773716020 21414193017800 24090967145025 25697031621360 32121289526700 35041406756400 38545547432040 42828386035600 48181934290050 64242579053400 77091094864080 96363868580100 128485158106800 192727737160200 385455474320400
- Sum of all divisors σ(n): 1487648702975799
- Sum of proper divisors (its aliquot sum) s(n): 1102193228655399
- 385455474320400 is an abundant number, because the sum of its proper divisors (1102193228655399) is greater than itself. Its abundance is 716737754334999
Bases of 385455474320400
- Binary: 10101111010010001110110001001111110100100000100002
- Hexadecimal: 0x15E91D89FA410
- Base-36: 3SMRST8TG0
Squares and roots of 385455474320400
- 385455474320400 squared (3854554743204002) is 148575922683564543841856160000
- 385455474320400 cubed (3854554743204003) is 57269402750584448883970527039550553664000000
-
385455474320400 is a
perfect square number . Itssquare root is 19633020 -
The
cube root of 385455474320400 is 72776.5403065811
Scales and comparisons
How big is 385455474320400?- 385,455,474,320,400 seconds is equal to 12,256,291 years, 41 weeks, 1 day, 1 hour.
-
To count from 1 to 385,455,474,320,400 would take you about thirty million, six hundred forty thousand, seven hundred twenty-nine 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 385455474320400 cubic inches would be around 6064.7 feet tall.
Recreational maths with 385455474320400
- 385455474320400 backwards is 004023474554583
- The number of decimal digits it has is: 15
- The sum of 385455474320400's digits is 54
- 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 385455474320400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 385455474320400 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/385455474320400/
Chicago style:
Numbermatics. 2024. "Number 385455474320400 - Facts about the integer". https://numbermatics.com/n/385455474320400/
The information we have on file for 385455474320400 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 385455474320400, math, Factors of 385455474320400, curriculum, school, college, exams, university, Prime factorization of 385455474320400, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-five trillion, four hundred fifty-five billion, four hundred seventy-four million, three hundred twenty thousand, four hundred.