385067968292800
385,067,968,292,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 385067968292800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
385067968292800 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 385067968292800:
26 × 52 × 13 × 172 × 29 × 127 × 17393
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 17 × 29 × 127 × 17393)See below for interesting mathematical facts about the number 385067968292800 from the Numbermatics database.
Names of 385067968292800
- Cardinal: 385067968292800 can be written as Three hundred eighty-five trillion, sixty-seven billion, nine hundred sixty-eight million, two hundred ninety-two thousand, eight hundred.
Scientific notation
- Scientific notation: 3.850679682928 × 1014
Factors of 385067968292800
Divisors of 385067968292800
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 64 65 68 80 85 100 104 116 127 130 136 145 160 170 200 208 221 232 254 260 272 289 290 320 325 340 377 400 416 425 442 464 493 508 520 544 578 580 635 650 680 725 754 800 832 850 884 928 986 1016 1040 1088 1105 1156 1160 1270 1300 1360 1445 1450 1508 1600 1651 1700 1768 1856 1885 1972 2032 2080 2159 2210 2312 2320 2465 2540 2600 2720 2890 2900 3016 3175 3302 3400 3536 3683 3757 3770 3944 4064 4160 4318 4420 4624 4640 4930 5080 5200 5440 5525 5780 5800 6032 6350 6409 6604 6800 7072 7225 7366 7514 7540 7888 8128 8255 8381 8636 8840 9248 9280 9425 9860 10160 10400 10795 11050 11560 11600 12064 12325 12700 12818 13208 13600 14144 14450 14732 15028 15080 15776 16510 16762 17272 17393 17680 18415 18496 18785 18850 19720 20320 20800 21590 22100 23120 23200 24128 24650 25400 25636 26416 27200 28067 28900 29464 30056 30160 31552 32045 33020 33524 34544 34786 35360 36703 36830 37570 37700 39440 40640 41275 41905 43180 44200 46240 46400 47879 49300 50800 51272 52832 53975 56134 57800 58928 60112 60320 62611 64090 66040 67048 69088 69572 70720 73406 73660 75140 75400 78880 82550 83810 86360 86965 88400 92075 92480 93925 95758 98600 101600 102544 105664 107950 108953 112268 115600 117856 120224 120640 125222 128180 132080 134096 138176 139144 140335 146812 147320 150280 150800 157760 160225 165100 167620 172720 173930 176800 183515 184150 187850 191516 197200 203200 205088 209525 215900 217906 224536 226109 231200 235712 239395 240448 250444 256360 264160 268192 278288 280670 293624 294640 295681 300560 301600 313055 320450 330200 335240 345440 347860 353600 367030 368300 375700 383032 394400 410176 419050 431800 434825 435812 449072 452218 462400 477139 478790 500888 504397 512720 528320 536384 544765 556576 561340 587248 589280 591362 601120 603200 626110 640900 660400 670480 690880 695720 701675 734060 736600 751400 766064 788800 813943 838100 863600 869650 871624 898144 904436 917575 954278 957580 1001776 1008794 1025440 1064387 1089530 1113152 1122680 1130545 1174496 1178560 1182724 1196975 1202240 1252220 1281800 1320800 1340960 1391440 1403350 1468120 1473200 1478405 1502800 1532128 1565275 1627886 1676200 1727200 1739300 1743248 1796288 1808872 1835150 1908556 1915160 2003552 2017588 2050880 2128774 2179060 2208911 2245360 2261090 2348992 2365448 2385695 2393950 2504440 2521985 2563600 2641600 2681920 2723825 2782880 2806700 2936240 2946400 2956810 3005600 3064256 3130550 3255772 3352400 3454400 3478600 3486496 3617744 3670300 3817112 3830320 3843853 4007104 4035176 4069715 4257548 4358120 4417822 4490720 4522180 4730896 4771390 4787900 5008880 5026577 5043970 5127200 5321935 5447650 5565760 5613400 5652725 5872480 5892800 5913620 6011200 6261100 6511544 6557161 6704800 6957200 6972992 7235488 7340600 7392025 7634224 7660640 7687706 8070352 8139430 8515096 8574749 8716240 8835644 8981440 9044360 9461792 9542780 9575800 10017760 10053154 10087940 10254400 10643870 10895300 11044555 11226800 11305450 11744960 11827240 11928475 12522200 12609925 13023088 13114322 13409600 13837031 13914400 14470976 14681200 14784050 15268448 15321280 15375412 16140704 16278860 17030192 17149498 17432480 17671288 18088720 18923584 19085560 19151600 19219265 20035520 20106308 20175880 20348575 21287740 21790600 22089110 22453600 22610900 23654480 23856950 25044400 25132885 25219850 26046176 26228644 26609675 27674062 27828800 28715843 29362400 29568100 30536896 30750824 32281408 32557720 32785805 34060384 34298996 34864960 35342576 36177440 37551487 38171120 38303200 38438530 40212616 40351760 40697150 42575480 42873745 43581200 44178220 44907200 45221800 47308960 47713900 50088800 50265770 50439700 52092352 52457288 53219350 55222775 55348124 57431686 58724800 59136200 61501648 64058419 65115440 65345501 65571610 68120768 68597992 69185155 70685152 72354880 75102974 76342240 76606400 76877060 80425232 80703520 81394300 85150960 85747490 87162400 88356440 90443600 94617920 95427800 96096325 100177600 100531540 100879400 104914576 106438700 110445550 110696248 111471737 114863372 118272400 123003296 125664425 128116838 130230880 130691002 131143220 137195984 138370310 141370304 143579215 145770733 150205948 152684480 153754120 160850464 161407040 162788600 163929025 170301920 171494980 174324800 176712880 180887200 187757435 190855600 192192650 201063080 201758800 209829152 212877400 214368725 220891100 221392496 222943474 229726744 236544800 246006592 251328850 256233676 260461760 261382004 262286440 274391968 276740620 287158430 291541466 300411896 307508240 320292095 321700928 325577200 326727505 327858050 340603840 342989960 345925775 353425760 361774400 375514870 381711200 384385300 402126160 403517600 419658304 425754800 428737450 441782200 442784992 445886948 459453488 473089600 488169331 502657700 512467352 522764008 524572880 548783936 553481240 557358685 574316860 583082932 600823792 615016480 638375279 640584190 651154400 653455010 655716100 685979920 691851550 706851520 717896075 728853665 751029740 763422400 768770600 804252320 807035200 832759447 851509600 857474900 883564400 885569984 891773896 918906976 938787175 976338662 1005315400 1024934704 1045528016 1049145760 1088993123 1106962480 1114717370 1148633720 1166165864 1201647584 1230032960 1276750558 1281168380 1302308800 1306910020 1311432200 1371959840 1383703100 1435792150 1457707330 1502059480 1537541200 1601460475 1608504640 1633637525 1665518894 1703019200 1714949800 1767128800 1783547792 1837813952 1877574350 1895019529 1952677324 2010630800 2049869408 2091056032 2098291520 2177986246 2213924960 2229434740 2297267440 2332331728 2403295168 2440846655 2553501116 2562336760 2613820040 2622864400 2743919680 2767406200 2786793425 2871584300 2915414660 3004118960 3075082400 3191876395 3202920950 3267275050 3331037788 3429899600 3534257600 3567095584 3644268325 3755148700 3790039058 3905354648 4021261600 4099738816 4163797235 4182112064 4355972492 4427849920 4458869480 4594534880 4664663456 4881693310 5107002232 5124673520 5227640080 5245728800 5444965615 5534812400 5573586850 5743168600 5830829320 6008237920 6150164800 6383752790 6405841900 6534550100 6662075576 6859799200 7134191168 7288536650 7510297400 7580078116 7810709296 8042523200 8298878627 8327594470 8711944984 8917738960 9189069760 9329326912 9475097645 9763386620 10214004464 10249347040 10455280160 10491457600 10889931230 11069624800 11147173700 11486337200 11661658640 12016475840 12204233275 12767505580 12811683800 13069100200 13324151152 13719598400 14156910599 14577073300 15020594800 15160156232 15621418592 15959381975 16597757254 16655188940 17423889968 17835477920 18512883091 18950195290 19526773240 20428008928 20498694080 20818986175 20910560320 21779862460 22139249600 22294347400 22972674400 23323317280 24408466550 25535011160 25623367600 26138200400 26648302304 27224828075 28313821198 29154146600 30041189600 30320312464 31242837184 31918763950 33195514508 33310377880 34847779936 35670955840 37025766182 37900390580 39053546480 40856017856 41494393135 41637972350 43559724920 44588694800 45945348800 46646634560 47375488225 48816933100 51070022320 51246735200 52276400800 53296604608 54449656150 56627642396 58308293200 60082379200 60640624928 63837527900 66391029016 66620755760 69695559872 70784552995 74051532364 75800781160 78107092960 82988786270 83275944700 87119449840 89177389600 92564415455 94750976450 97633866200 102140044640 102493470400 104552801600 108899312300 113255284792 116616586400 121281249856 127675055800 132782058032 133241511520 141569105990 148103064728 151601562320 156214185920 165977572540 166551889400 174238899680 178354779200 185128830910 189501952900 195267732400 204280089280 207471965675 217798624600 226510569584 233233172800 240667480183 255350111600 265564116064 266483023040 283138211980 296206129456 303203124640 331955145080 333103778800 348477799360 353922764975 370257661820 379003905800 390535464800 414943931350 435597249200 453021139168 462822077275 481334960366 510700223200 531128232128 566276423960 592412258912 606406249280 663910290160 666207557600 707845529950 740515323640 758007811600 781070929600 829887862700 871194498400 906042278336 925644154550 962669920732 1021400446400 1132552847920 1184824517824 1203337400915 1327820580320 1332415115200 1415691059900 1481030647280 1516015623200 1659775725400 1742388996800 1851288309100 1925339841464 2265105695840 2406674801830 2655641160640 2831382119800 2962061294560 3032031246400 3319551450800 3702576618200 3850679682928 4530211391680 4813349603660 5662764239600 5924122589120 6016687004575 6639102901600 7405153236400 7701359365856 9626699207320 11325528479200 12033374009150 13278205803200 14810306472800 15402718731712 19253398414640 22651056958400 24066748018300 29620612945600 38506796829280 48133496036600 77013593658560 96266992073200 192533984146400 385067968292800
- Sum of all divisors σ(n): 1130218771368960
- Sum of proper divisors (its aliquot sum) s(n): 745150803076160
- 385067968292800 is an abundant number, because the sum of its proper divisors (745150803076160) is greater than itself. Its abundance is 360082834783360
Bases of 385067968292800
- Binary: 10101111000110111100111110111011011100111110000002
- Hexadecimal: 0x15E379F76E7C0
- Base-36: 3SHTS65SXS
Squares and roots of 385067968292800
- 385067968292800 squared (3850679682928002) is 148277340205144826146531840000
- 385067968292800 cubed (3850679682928003) is 57096854136655426562024690971805642752000000
-
The
square root of 385067968292800 is 19623148.7863900171 -
The
cube root of 385067968292800 is 72752.1442300295
Scales and comparisons
How big is 385067968292800?- 385,067,968,292,800 seconds is equal to 12,243,970 years, 15 weeks, 3 days, 13 hours, 46 minutes, 40 seconds.
-
To count from 1 to 385,067,968,292,800 would take you about thirty million, six hundred nine thousand, nine hundred twenty-five 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 385067968292800 cubic inches would be around 6062.7 feet tall.
Recreational maths with 385067968292800
- 385067968292800 backwards is 008292869760583
- The number of decimal digits it has is: 15
- The sum of 385067968292800's digits is 73
- 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 385067968292800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 385067968292800 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/385067968292800/
Chicago style:
Numbermatics. 2024. "Number 385067968292800 - Facts about the integer". https://numbermatics.com/n/385067968292800/
The information we have on file for 385067968292800 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 385067968292800, math, Factors of 385067968292800, curriculum, school, college, exams, university, Prime factorization of 385067968292800, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-five trillion, sixty-seven billion, nine hundred sixty-eight million, two hundred ninety-two thousand, eight hundred.