42090709891672000
42,090,709,891,672,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42090709891672000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
42090709891672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 42090709891672000:
26 × 53 × 13 × 29 × 1103 × 2239 × 5651
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 29 × 1103 × 2239 × 5651)See below for interesting mathematical facts about the number 42090709891672000 from the Numbermatics database.
Names of 42090709891672000
- Cardinal: 42090709891672000 can be written as Forty-two quadrillion, ninety trillion, seven hundred nine billion, eight hundred ninety-one million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.2090709891672 × 1016
Factors of 42090709891672000
Divisors of 42090709891672000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 58 64 65 80 100 104 116 125 130 145 160 200 208 232 250 260 290 320 325 377 400 416 464 500 520 580 650 725 754 800 832 928 1000 1040 1103 1160 1300 1450 1508 1600 1625 1856 1885 2000 2080 2206 2239 2320 2600 2900 3016 3250 3625 3770 4000 4160 4412 4478 4640 5200 5515 5651 5800 6032 6500 7250 7540 8000 8824 8956 9280 9425 10400 11030 11195 11302 11600 12064 13000 14339 14500 15080 17648 17912 18850 20800 22060 22390 22604 23200 24128 26000 27575 28255 28678 29000 29107 30160 31987 35296 35824 37700 44120 44780 45208 46400 47125 52000 55150 55975 56510 57356 58000 58214 60320 63974 64931 70592 71648 71695 73463 75400 88240 89560 90416 94250 104000 110300 111950 113020 114712 116000 116428 120640 127948 129862 137875 141275 143296 143390 145535 146926 150800 159935 163879 176480 179120 180832 188500 220600 223900 226040 229424 232000 232856 255896 259724 275750 279875 282550 286780 291070 293852 301600 319870 324655 327758 352960 358240 358475 361664 367315 377000 415831 441200 447800 452080 458848 465712 511792 519448 551500 559750 565100 573560 582140 587704 603200 639740 649310 655516 706375 716480 716950 727675 734630 754000 799675 819395 831662 844103 882400 895600 904160 917696 931424 1023584 1038896 1103000 1119500 1130200 1147120 1164280 1175408 1279480 1298620 1311032 1412750 1433900 1455350 1469260 1508000 1599350 1623275 1638790 1663324 1688206 1764800 1791200 1792375 1808320 1836575 1862848 2047168 2077792 2079155 2130427 2206000 2239000 2260400 2294240 2328560 2350816 2469617 2558960 2597240 2622064 2825500 2867800 2910700 2938520 3016000 3198700 3246550 3277580 3326648 3376412 3582400 3584750 3638375 3673150 3998375 4096975 4155584 4158310 4220515 4260854 4412000 4478000 4520800 4588480 4657120 4701632 4939234 5117920 5194480 5244128 5651000 5735600 5821400 5877040 6233053 6397400 6493100 6555160 6653296 6752824 7169500 7276750 7346300 7996750 8116375 8193950 8316620 8441030 8521708 8824000 8956000 9041600 9182875 9314240 9878468 10235840 10388960 10395775 10488256 10652135 11302000 11471200 11642800 11754080 12348085 12466106 12652589 12794800 12986200 13110320 13306592 13505648 14339000 14553500 14692600 15993500 16232750 16387900 16633240 16882060 17043416 17912000 18365750 19756936 20484875 20777920 20791550 21102575 21304270 22604000 22942400 23285600 23508160 24696170 24932212 25305178 25589600 25972400 26220640 26613184 27011296 28678000 29107000 29385200 31165265 31987000 32105021 32465500 32775800 33266480 33764120 34086832 36731500 39513872 40969750 41583100 42205150 42608540 45208000 46571200 49392340 49864424 50610356 51179200 51944800 51978875 52441280 53260675 54022592 57356000 58214000 58770400 61740425 62330530 63262945 63974000 64210042 64931000 65551600 66532960 67528240 68173664 71618893 73463000 79027744 81029689 81939500 83166200 84410300 85217080 98784680 99728848 101220712 103889600 103957750 105512875 106521350 114712000 116428000 117540800 123480850 124661060 126525890 127948000 128420084 129862000 131103200 133065920 135056480 136347328 143237786 146926000 155826325 158055488 160525105 162059378 163879000 164483657 166332400 168820600 170434160 180758537 197569360 199457696 202441424 207915500 211025750 213042700 232856000 246961700 249322120 253051780 255896000 256840168 259724000 262206400 266303375 270112960 286475572 293852000 308702125 311652650 316314725 321050210 324118756 327758000 328967314 332664800 337641200 340868320 358094465 361517074 366925081 395138720 398915392 404882848 405148445 415831000 422051500 426085400 493923400 498644240 506103560 513680336 519448000 532606750 572951144 587704000 617404250 623305300 632629450 642100420 648237512 655516000 657934628 665329600 675282400 681736640 716188930 723034148 733850162 779131625 790277440 802625525 809765696 810296890 822418285 831662000 844103000 852170800 903792685 931045609 987846800 997288480 1012207120 1027360672 1065213500 1145902288 1234808500 1246610600 1265258900 1284200840 1296475024 1311032000 1315869256 1350564800 1432377860 1446068296 1467700324 1558263250 1581573625 1605251050 1620593780 1644836570 1663324000 1688206000 1704341600 1790472325 1807585370 1834625405 1862091218 1975693600 1994576960 2024414240 2025742225 2054721344 2130427000 2291804576 2349860981 2469617000 2493221200 2530517800 2568401680 2592950048 2631738512 2864755720 2892136592 2935400648 3116526500 3163147250 3210502100 3241187560 3289673140 3326648000 3376412000 3408683200 3580944650 3615170740 3669250810 3724182436 3951387200 4013127625 4048828480 4051484450 4112091425 4260854000 4518963425 4583609152 4655228045 4699721962 4770026053 4939234000 4986442400 5061035600 5136803360 5185900096 5263477024 5729511440 5784273184 5870801296 6233053000 6326294500 6421004200 6482375120 6579346280 6752824000 7161889300 7230341480 7338501620 7448364872 8026255250 8102968900 8224182850 8521708000 8952361625 9037926850 9173127025 9310456090 9399443924 9540052106 9878468000 9972884800 10122071200 10128711125 10273606720 10526954048 11459022880 11568546368 11741602592 11749304905 12466106000 12652589000 12842008400 12964750240 13158692560 13955805667 14323778600 14460682960 14677003240 14896729744 16052510500 16205937800 16448365700 17043416000 17904723250 18075853700 18346254050 18620912180 18798887848 19080104212 19756936000 20244142400 20257422250 20560457125 22594817125 22918045760 23276140225 23483205184 23498609810 23850130265 24932212000 25305178000 25684016800 25929500480 26317385120 27911611334 28647557200 28921365920 29354006480 29793459488 32105021000 32411875600 32896731400 35809446500 36151707400 36692508100 37241824360 37597775696 38160208424 40514844500 41120914250 45189634250 45865635125 46552280450 46997219620 47700260530 49864424000 50610356000 51368033600 52634770240 55823222668 57295114400 57842731840 58708012960 58746524525 59586918976 64210042000 64823751200 65793462800 69779028335 71618893000 72303414800 73385016200 74483648720 75195551392 76320416848 81029689000 82241828500 90379268500 91731270250 93104560900 93994439240 95400521060 101220712000 111646445336 114590228800 116380701125 117416025920 117493049050 119250651325 128420084000 129647502400 131586925600 139558056670 143237786000 144606829600 146770032400 148967297440 150391102784 152640833696 162059378000 164483657000 180758537000 181425473671 183462540500 186209121800 187988878480 190801042120 223292890672 232761402250 234986098100 238501302650 256840168000 263173851200 279116113340 286475572000 289213659200 293540064800 293732622625 297934594880 305281667392 324118756000 328967314000 348895141675 361517074000 362850947342 366925081000 372418243600 375977756960 381602084240 404718364343 446585781344 465522804500 469972196200 477002605300 558232226680 572951144000 587080129600 587465245250 596253256625 648237512000 657934628000 697790283350 723034148000 725701894684 733850162000 744836487200 751955513920 763204168480 809436728686 893171562688 907127368355 931045609000 939944392400 954005210600 1116464453360 1174930490500 1192506513250 1315869256000 1395580566700 1446068296000 1451403789368 1467700324000 1489672974400 1526408336960 1618873457372 1744475708375 1814254736710 1862091218000 1879888784800 1908010421200 2023591821715 2232928906720 2349860981000 2385013026500 2791161133400 2902807578736 2935400648000 3237746914744 3488951416750 3628509473420 3724182436000 3759777569600 3816020842400 4047183643430 4465857813440 4535636841775 4699721962000 4770026053000 5261338736459 5582322266800 5805615157472 6475493829488 6977902833500 7257018946840 7448364872000 7632041684800 8094367286860 9071273683550 9399443924000 9540052106000 10117959108575 10522677472918 11164644533600 11611230314944 12950987658976 13955805667000 14514037893680 16188734573720 18142547367100 18798887848000 19080104212000 20235918217150 21045354945836 22329289067200 22678184208875 25901975317952 26306693682295 27911611334000 29028075787360 32377469147440 36285094734200 38160208424000 40471836434300 42090709891672 45356368417750 50589795542875 52613387364590 55823222668000 58056151574720 64754938294880 72570189468400 80943672868600 84181419783344 90712736835500 101179591085750 105226774729180 111646445336000 129509876589760 131533468411475 145140378936800 161887345737200 168362839566688 181425473671000 202359182171500 210453549458360 263066936822950 290280757873600 323774691474400 336725679133376 362850947342000 404718364343000 420907098916720 526133873645900 647549382948800 657667342057375 725701894684000 809436728686000 841814197833440 1052267747291800 1315334684114750 1451403789368000 1618873457372000 1683628395666880 2104535494583600 2630669368229500 3237746914744000 4209070989167200 5261338736459000 8418141978334400 10522677472918000 21045354945836000 42090709891672000
- Sum of all divisors σ(n): 116304589991116800
- Sum of proper divisors (its aliquot sum) s(n): 74213880099444800
- 42090709891672000 is an abundant number, because the sum of its proper divisors (74213880099444800) is greater than itself. Its abundance is 32123170207772800
Bases of 42090709891672000
- Binary: 100101011000100101000111000100110110111111100111110000002
- Hexadecimal: 0x958947136FE7C0
- Base-36: BIFWT6NKRLS
Squares and roots of 42090709891672000
- 42090709891672000 squared (420907098916720002) is 1771627859184895145974955584000000
- 42090709891672000 cubed (420907098916720003) is 74569074256955355239858201375849651496448000000000
-
The
square root of 42090709891672000 is 205160205.4290061391 -
The
cube root of 42090709891672000 is 347852.7305795003
Scales and comparisons
How big is 42090709891672000?- 42,090,709,891,672,000 seconds is equal to 1,338,354,379 years, 22 weeks, 6 days, 13 hours, 46 minutes, 40 seconds.
-
To count from 1 to 42,090,709,891,672,000 would take you about four billion, fifteen million, sixty-three thousand, one hundred thirty-eight 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 42090709891672000 cubic inches would be around 28987.7 feet tall.
Recreational maths with 42090709891672000
- 42090709891672000 backwards is 00027619890709024
- 42090709891672000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42090709891672000's digits is 64
- 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 42090709891672000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 42090709891672000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/42090709891672000/
Chicago style:
Numbermatics. 2024. "Number 42090709891672000 - Facts about the integer". https://numbermatics.com/n/42090709891672000/
The information we have on file for 42090709891672000 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 42090709891672000, math, Factors of 42090709891672000, curriculum, school, college, exams, university, Prime factorization of 42090709891672000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, ninety trillion, seven hundred nine billion, eight hundred ninety-one million, six hundred seventy-two thousand.