6442412042136960
6,442,412,042,136,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 6442412042136960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
6442412042136960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 6442412042136960:
27 × 33 × 5 × 373 × 27132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 37 × 37 × 37 × 2713 × 2713)See below for interesting mathematical facts about the number 6442412042136960 from the Numbermatics database.
Names of 6442412042136960
- Cardinal: 6442412042136960 can be written as Six quadrillion, four hundred forty-two trillion, four hundred twelve billion, forty-two million, one hundred thirty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 6.44241204213696 × 1015
Factors of 6442412042136960
Divisors of 6442412042136960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 37 40 45 48 54 60 64 72 74 80 90 96 108 111 120 128 135 144 148 160 180 185 192 216 222 240 270 288 296 320 333 360 370 384 432 444 480 540 555 576 592 640 666 720 740 864 888 960 999 1080 1110 1152 1184 1332 1369 1440 1480 1665 1728 1776 1920 1998 2160 2220 2368 2664 2713 2738 2880 2960 3330 3456 3552 3996 4107 4320 4440 4736 4995 5328 5426 5476 5760 5920 6660 6845 7104 7992 8139 8214 8640 8880 9990 10656 10852 10952 11840 12321 13320 13565 13690 14208 15984 16278 16428 17280 17760 19980 20535 21312 21704 21904 23680 24417 24642 26640 27130 27380 31968 32556 32856 35520 36963 39960 40695 41070 42624 43408 43808 48834 49284 50653 53280 54260 54760 61605 63936 65112 65712 71040 73251 73926 79920 81390 82140 86816 87616 97668 98568 100381 101306 106560 108520 109520 122085 123210 127872 130224 131424 146502 147852 151959 159840 162780 164280 173632 175232 184815 195336 197136 200762 202612 213120 217040 219040 244170 246420 253265 260448 262848 293004 295704 301143 303918 319680 325560 328560 347264 366255 369630 390672 394272 401524 405224 434080 438080 455877 488340 492840 501905 506530 520896 525696 586008 591408 602286 607836 639360 651120 657120 732510 739260 759795 781344 788544 803048 810448 868160 876160 903429 911754 976680 985680 1003810 1013060 1041792 1172016 1182816 1204572 1215672 1302240 1314240 1367631 1465020 1478520 1505715 1519590 1562688 1577088 1606096 1620896 1736320 1806858 1823508 1953360 1971360 2007620 2026120 2279385 2344032 2365632 2409144 2431344 2604480 2628480 2710287 2735262 2930040 2957040 3011430 3039180 3125376 3212192 3241792 3613716 3647016 3714097 3906720 3942720 4015240 4052240 4517145 4558770 4688064 4731264 4818288 4862688 5208960 5420574 5470524 5860080 5914080 6022860 6078360 6424384 6483584 6838155 7227432 7294032 7360369 7428194 7813440 7885440 8030480 8104480 9034290 9117540 9376128 9636576 9725376 10841148 10941048 11142291 11720160 11828160 12045720 12156720 12848768 13551435 13676310 14454864 14588064 14720738 14856388 15626880 16060960 16208960 18068580 18235080 18570485 19273152 19450752 21682296 21882096 22081107 22284582 23440320 23656320 24091440 24313440 27102870 27352620 28909728 29176128 29441476 29712776 32121920 32417920 33426873 36137160 36470160 36801845 37140970 38546304 43364592 43764192 44162214 44569164 46880640 48182880 48626880 54205740 54705240 55711455 57819456 58352256 58882952 59425552 64243840 66243321 66853746 72274320 72940320 73603690 74281940 86729184 87528384 88324428 89138328 96365760 97253760 100280619 108411480 109410480 110405535 111422910 115638912 117765904 118851104 132486642 133707492 137421589 144548640 145880640 147207380 148563880 167134365 173458368 175056768 176648856 178276656 192731520 198729963 200561238 216822960 218820960 220811070 222845820 235531808 237702208 264973284 267414984 272333653 274843178 289097280 291761280 294414760 297127760 331216605 334268730 346916736 353297712 356553312 397459926 401122476 412264767 433645920 437641920 441622140 445691640 471063616 475404416 501403095 529946568 534829968 544667306 549686356 578194560 588829520 594255520 662433210 668537460 687107945 706595424 713106624 794919852 802244952 817000959 824529534 867291840 875283840 883244280 891383280 942127232 993649815 1002806190 1059893136 1069659936 1089334612 1099372712 1177659040 1188511040 1236794301 1324866420 1337074920 1361668265 1374215890 1413190848 1426213248 1589839704 1604489904 1634001918 1649059068 1734583680 1766488560 1782766560 1987299630 2005612380 2061323835 2119786272 2139319872 2178669224 2198745424 2355318080 2377022080 2451002877 2473588602 2649732840 2674149840 2723336530 2748431780 2826381696 3179679408 3208979808 3268003836 3298118136 3532977120 3565533120 3710382903 3974599260 4011224760 4085004795 4122647670 4239572544 4278639744 4357338448 4397490848 4710636160 4902005754 4947177204 5299465680 5348299680 5446673060 5496863560 6183971505 6359358816 6417959616 6536007672 6596236272 7065954240 7131066240 7353008631 7420765806 7949198520 8022449520 8170009590 8245295340 8479145088 8714676896 8794981696 9804011508 9894354408 10076345161 10598931360 10696599360 10893346120 10993727120 12255014385 12367943010 12718717632 12835919232 13072015344 13192472544 14131908480 14706017262 14841531612 15898397040 16044899040 16340019180 16490590680 17429353792 17589963392 18551914515 19608023016 19788708816 20152690322 21197862720 21393198720 21786692240 21987454240 24510028770 24735886020 25437435264 26144030688 26384945088 29412034524 29683063224 30229035483 31796794080 32089798080 32680038360 32981181360 34858707584 36765043155 37103829030 39216046032 39577417632 40305380644 42395725440 43573384480 43974908480 49020057540 49471772040 50381725805 52288061376 52769890176 58824069048 59366126448 60458070966 63593588160 64179596160 65360076720 65962362720 73530086310 74207658060 78432092064 79154835264 80610761288 87146768960 87949816960 90687106449 98040115080 98943544080 100763451610 104576122752 117648138096 118732252896 120916141932 127187176320 130720153440 131924725440 147060172620 148415316120 151145177415 156864184128 158309670528 161221522576 174293537920 181374212898 196080230160 197887088160 201526903220 235296276192 237464505792 241832283864 261440306880 263849450880 272061319347 294120345240 296830632240 302290354830 313728368256 322443045152 362748425796 372824770957 392160460320 395774176320 403053806440 453435532245 470592552384 474929011584 483664567728 522880613760 544122638694 588240690480 593661264480 604580709660 644886090304 725496851592 745649541914 784320920640 791548352640 806107612880 906871064490 941185104768 967329135456 1088245277388 1118474312871 1176481380960 1187322528960 1209161419320 1289772180608 1360306596735 1450993703184 1491299083828 1568641841280 1612215225760 1813742128980 1864123854785 1934658270912 2176490554776 2236948625742 2352962761920 2374645057920 2418322838640 2720613193470 2901987406368 2982598167656 3224430451520 3355422938613 3627484257960 3728247709570 3869316541824 4352981109552 4473897251484 4705925523840 4836645677280 5441226386940 5592371564355 5803974812736 5965196335312 6448860903040 6710845877226 7254968515920 7456495419140 8705962219104 8947794502968 9673291354560 10066268815839 10882452773880 11184743128710 11607949625472 11930392670624 13421691754452 14509937031840 14912990838280 16777114693065 17411924438208 17895589005936 19346582709120 20132537631678 21764905547760 22369486257420 23860785341248 26843383508904 29019874063680 29825981676560 33554229386130 34823848876416 35791178011872 40265075263356 43529811095520 44738972514840 47721570682496 50331344079195 53686767017808 58039748127360 59651963353120 67108458772260 71582356023744 80530150526712 87059622191040 89477945029680 100662688158390 107373534035616 119303926706240 134216917544520 143164712047488 161060301053424 174119244382080 178955890059360 201325376316780 214747068071232 238607853412480 268433835089040 322120602106848 357911780118720 402650752633560 429494136142464 536867670178080 644241204213696 715823560237440 805301505267120 1073735340356160 1288482408427392 1610603010534240 2147470680712320 3221206021068480 6442412042136960
- Sum of all divisors σ(n): 23459312579976000
- Sum of proper divisors (its aliquot sum) s(n): 17016900537839040
- 6442412042136960 is an abundant number, because the sum of its proper divisors (17016900537839040) is greater than itself. Its abundance is 10574488495702080
Bases of 6442412042136960
- Binary: 101101110001101010110111100010100010010101101100000002
- Hexadecimal: 0x16E356F144AD80
- Base-36: 1RFN78FQLC0
Squares and roots of 6442412042136960
- 6442412042136960 squared (64424120421369602) is 41504672920671315270563398041600
- 6442412042136960 cubed (64424120421369603) is 267390204629088672226271267007099419942977536000
-
The
square root of 6442412042136960 is 80264637.5568778109 -
The
cube root of 6442412042136960 is 186072.7741794643
Scales and comparisons
How big is 6442412042136960?- 6,442,412,042,136,960 seconds is equal to 204,848,775 years, 13 weeks, 9 hours, 36 minutes.
-
To count from 1 to 6,442,412,042,136,960 would take you about six hundred fourteen million, five hundred forty-six thousand, three 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 6442412042136960 cubic inches would be around 15506.1 feet tall.
Recreational maths with 6442412042136960
- 6442412042136960 backwards is 0696312402142446
- 6442412042136960 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 6442412042136960'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 6442412042136960 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 6442412042136960 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/6442412042136960/
Chicago style:
Numbermatics. 2024. "Number 6442412042136960 - Facts about the integer". https://numbermatics.com/n/6442412042136960/
The information we have on file for 6442412042136960 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 6442412042136960, math, Factors of 6442412042136960, curriculum, school, college, exams, university, Prime factorization of 6442412042136960, STEM, science, technology, engineering, physics, economics, calculator, six quadrillion, four hundred forty-two trillion, four hundred twelve billion, forty-two million, one hundred thirty-six thousand, nine hundred sixty.