381407468425600
381,407,468,425,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 381407468425600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
381407468425600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 381407468425600:
27 × 52 × 17 × 61 × 113 × 127 × 8009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 61 × 113 × 127 × 8009)See below for interesting mathematical facts about the number 381407468425600 from the Numbermatics database.
Names of 381407468425600
- Cardinal: 381407468425600 can be written as Three hundred eighty-one trillion, four hundred seven billion, four hundred sixty-eight million, four hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 3.814074684256 × 1014
Factors of 381407468425600
Divisors of 381407468425600
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 61 64 68 80 85 100 113 122 127 128 136 160 170 200 226 244 254 272 305 320 340 400 425 452 488 508 544 565 610 635 640 680 800 850 904 976 1016 1037 1088 1130 1220 1270 1360 1525 1600 1700 1808 1921 1952 2032 2074 2159 2176 2260 2440 2540 2720 2825 3050 3175 3200 3400 3616 3842 3904 4064 4148 4318 4520 4880 5080 5185 5440 5650 6100 6350 6800 6893 7232 7684 7747 7808 8009 8128 8296 8636 9040 9605 9760 10160 10370 10795 10880 11300 12200 12700 13600 13786 14351 14464 15368 15494 16018 16256 16592 17272 18080 19210 19520 20320 20740 21590 22600 24400 25400 25925 27200 27572 28702 30736 30988 32036 33184 34465 34544 36160 38420 38735 39040 40045 40640 41480 43180 45200 48025 48800 50800 51850 53975 54400 55144 57404 61472 61976 64072 66368 68930 69088 71755 72320 76840 77470 80090 81280 82960 86360 90400 96050 97600 101600 103700 107950 110288 114808 117181 122944 123952 128144 131699 132736 136153 137860 138176 143510 153680 154940 160180 165920 172325 172720 180800 192100 193675 195200 200225 203200 207400 215900 220576 229616 234362 243967 245888 247904 256288 263398 272306 275720 276352 287020 307360 309880 320360 331840 344650 345440 358775 361600 384200 387350 400450 406400 414800 431800 441152 459232 468724 487934 488549 495808 512576 526796 544612 551440 574040 585905 614720 619760 640720 658495 663680 680765 689300 690880 717550 768400 774700 800900 829600 863600 875411 882304 905017 918464 937448 975868 977098 991616 1017143 1025152 1053592 1089224 1102880 1148080 1171810 1219835 1229440 1239520 1281440 1316990 1361530 1378600 1381760 1435100 1536800 1549400 1601800 1659200 1727200 1750822 1810034 1836928 1874896 1951736 1954196 2034286 2107184 2178448 2205760 2296160 2343620 2439670 2442745 2479040 2562880 2633980 2723060 2757200 2870200 2929525 3073600 3098800 3203600 3292475 3318400 3403825 3454400 3501644 3620068 3749792 3903472 3908392 4068572 4214368 4356896 4377055 4411520 4525085 4592320 4687240 4879340 4885490 4958080 5085715 5125760 5267960 5446120 5514400 5740400 5859050 6099175 6147200 6197600 6407200 6584950 6807650 6908800 7003288 7240136 7499584 7806944 7816784 8137144 8305333 8428736 8713792 8754110 9050170 9184640 9374480 9758680 9770980 10171430 10535920 10892240 11028800 11480800 11718100 12198350 12213725 12395200 12814400 13169900 13615300 14006576 14480272 14881987 14999168 15385289 15613888 15633568 16274288 16610666 16857472 17291431 17427584 17508220 18100340 18748960 19517360 19541960 20342860 21071840 21784480 21885275 22057600 22625425 22961600 23436200 24396700 24427450 24790400 25428575 25628800 26339800 27230600 28013152 28960544 29763974 30770578 31227776 31267136 32548576 33221332 34582862 35016440 36200680 37497920 39034720 39083920 40685720 41526665 42143680 43568960 43770550 45250850 45923200 46872400 48793400 48854900 50857150 52679600 54461200 55206037 56026304 57921088 59527948 61541156 62045723 62534272 65097152 66442664 69165724 70032880 72401360 74409935 74995840 76926445 78069440 78167840 81371440 83053330 84287360 86457155 87137920 87541100 90501700 93744800 97586800 97709800 101714300 105359200 108922400 110412074 112052608 114937159 115842176 119055896 123082312 124091446 130194304 132885328 138331448 140065760 144802720 148819870 153852890 156138880 156335680 162742880 166106660 172914310 175082200 181003400 187489600 195173600 195419600 203428600 207633325 210718400 217844800 220824148 229874318 238111792 246164624 248182892 265770656 276030185 276662896 280131520 289605440 297639740 307705780 310228615 312671360 325485760 332213320 345828620 350164400 362006800 372049675 374979200 384632225 390347200 390839200 406857200 415266650 421436800 432285775 435689600 441648296 459748636 476223584 492329248 496365784 531541312 552060370 553325792 560263040 574685795 579210880 595279480 615411560 620457230 650971520 664426640 691657240 700328800 724013600 744099350 769264450 780694400 781678400 813714400 830533300 864571550 883296592 919497272 938502629 952447168 984658496 992731568 1054777291 1063082624 1104120740 1106651584 1149371590 1190558960 1230823120 1240914460 1328853280 1380150925 1383314480 1400657600 1448027200 1488198700 1538528900 1551143075 1563356800 1627428800 1661066600 1729143100 1766593184 1838994544 1877005258 1904894336 1953931703 1969316992 1985463136 2109554582 2208241480 2213303168 2298743180 2381117920 2461646240 2481828920 2657706560 2760301850 2766628960 2801315200 2873428975 2896054400 2976397400 3077057800 3102286150 3254857600 3322133200 3458286200 3533186368 3677989088 3754010516 3907863406 3970926272 4219109164 4416482960 4597486360 4692513145 4762235840 4923292480 4963657840 5273886455 5315413120 5520603700 5533257920 5746857950 5952794800 6154115600 6204572300 6644266400 6916572400 7011166699 7066372736 7355978176 7508021032 7815726812 7941852544 8438218328 8832965920 9194972720 9385026290 9524471680 9769658515 9846584960 9927315680 10547772910 11041207400 11066515840 11493715900 11905589600 12308231200 12409144600 13288532800 13833144800 14022333398 14711956352 15016042064 15631453624 16876436656 17665931840 18389945440 18770052580 19539317030 19854631360 21095545820 22082414800 22987431800 23462565725 23811179200 24616462400 24818289200 26369432275 26577065600 27666289600 28044666796 30032084128 31262907248 33752873312 35055833495 35331863680 36779890880 37540105160 39078634060 39709262720 42191091640 44164829600 45974863600 46925131450 47622358400 48848292575 49232924800 49636578400 52738864550 55332579200 56089333592 60064168256 62525814496 67505746624 70111666990 73559781760 75080210320 78157268120 84382183280 88329659200 91949727200 93850262900 97696585150 99273156800 105477729100 112178667184 119189833883 120128336512 125051628992 135011493248 140223333980 150160420640 156314536240 168764366560 175279167475 176659318400 183899454400 187700525800 195393170300 198546313600 210955458200 224357334368 238379667766 250103257984 280446667960 300320841280 312629072480 337528733120 350558334950 367798908800 375401051600 390786340600 421910916400 448714668736 476759335532 560893335920 595949169415 600641682560 625258144960 675057466240 701116669900 750802103200 781572681200 843821832800 897429337472 953518671064 1121786671840 1191898338830 1250516289920 1402233339800 1501604206400 1563145362400 1687643665600 1907037342128 2243573343680 2383796677660 2804466679600 2979745847075 3003208412800 3126290724800 3375287331200 3814074684256 4487146687360 4767593355320 5608933359200 5959491694150 6252581449600 7628149368512 9535186710640 11217866718400 11918983388300 15256298737024 19070373421280 22435733436800 23837966776600 38140746842560 47675933553200 76281493685120 95351867106400 190703734212800 381407468425600
- Sum of all divisors σ(n): 1031129960601600
- Sum of proper divisors (its aliquot sum) s(n): 649722492176000
- 381407468425600 is an abundant number, because the sum of its proper divisors (649722492176000) is greater than itself. Its abundance is 268315023750400
Bases of 381407468425600
- Binary: 10101101011100011010110001010101110010001100000002
- Hexadecimal: 0x15AE358AB9180
- Base-36: 3R74671UV4
Squares and roots of 381407468425600
- 381407468425600 squared (3814074684256002) is 145471656970825060942735360000
- 381407468425600 cubed (3814074684256003) is 55483976412919673571897532588896649216000000
-
The
square root of 381407468425600 is 19529656.1266602951 -
The
cube root of 381407468425600 is 72520.8798156949
Scales and comparisons
How big is 381407468425600?- 381,407,468,425,600 seconds is equal to 12,127,577 years, 37 weeks, 4 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 381,407,468,425,600 would take you about thirty million, three hundred eighteen thousand, nine hundred forty-four 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 381407468425600 cubic inches would be around 6043.4 feet tall.
Recreational maths with 381407468425600
- 381407468425600 backwards is 006524864704183
- The number of decimal digits it has is: 15
- The sum of 381407468425600's digits is 58
- 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 381407468425600 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 381407468425600 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/381407468425600/
Chicago style:
Numbermatics. 2024. "Number 381407468425600 - Facts about the integer". https://numbermatics.com/n/381407468425600/
The information we have on file for 381407468425600 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 381407468425600, math, Factors of 381407468425600, curriculum, school, college, exams, university, Prime factorization of 381407468425600, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-one trillion, four hundred seven billion, four hundred sixty-eight million, four hundred twenty-five thousand, six hundred.