3997422823680
3,997,422,823,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 3997422823680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
3997422823680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 3997422823680:
28 × 32 × 5 × 11 × 13 × 17 × 47 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 17 × 47 × 3037)See below for interesting mathematical facts about the number 3997422823680 from the Numbermatics database.
Names of 3997422823680
- Cardinal: 3997422823680 can be written as Three trillion, nine hundred ninety-seven billion, four hundred twenty-two million, eight hundred twenty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.99742282368 × 1012
Factors of 3997422823680
Divisors of 3997422823680
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 20 22 24 26 30 32 33 34 36 39 40 44 45 47 48 51 52 55 60 64 65 66 68 72 78 80 85 88 90 94 96 99 102 104 110 117 120 128 130 132 136 141 143 144 153 156 160 165 170 176 180 187 188 192 195 198 204 208 220 221 234 235 240 255 256 260 264 272 282 286 288 306 312 320 330 340 352 360 374 376 384 390 396 408 416 423 429 440 442 468 470 480 495 510 517 520 528 544 561 564 572 576 585 611 612 624 640 660 663 680 704 705 715 720 748 752 765 768 780 792 799 816 832 846 858 880 884 935 936 940 960 990 1020 1034 1040 1056 1088 1105 1122 1128 1144 1152 1170 1222 1224 1248 1280 1287 1320 1326 1360 1408 1410 1430 1440 1496 1504 1530 1551 1560 1584 1598 1632 1664 1683 1692 1716 1760 1768 1833 1870 1872 1880 1920 1980 1989 2040 2068 2080 2112 2115 2145 2176 2210 2244 2256 2288 2304 2340 2397 2431 2444 2448 2496 2574 2585 2640 2652 2720 2805 2816 2820 2860 2880 2992 3008 3037 3055 3060 3102 3120 3168 3196 3264 3315 3328 3366 3384 3432 3520 3536 3666 3740 3744 3760 3840 3960 3978 3995 4080 4136 4160 4224 4230 4290 4352 4420 4488 4512 4576 4653 4680 4794 4862 4888 4896 4992 5148 5170 5280 5304 5440 5499 5610 5640 5720 5760 5984 6016 6074 6110 6120 6204 6240 6336 6392 6435 6528 6630 6721 6732 6768 6864 7040 7072 7191 7293 7332 7480 7488 7520 7755 7920 7956 7990 8160 8272 8320 8415 8448 8460 8580 8789 8840 8976 9024 9111 9152 9165 9306 9360 9588 9724 9776 9792 9945 9984 10296 10340 10387 10560 10608 10880 10998 11220 11280 11440 11520 11968 11985 12032 12148 12155 12220 12240 12408 12480 12672 12784 12870 13056 13260 13442 13464 13536 13728 14080 14144 14382 14586 14664 14960 14976 15040 15185 15510 15840 15912 15980 16320 16544 16640 16830 16920 17160 17578 17680 17952 18048 18222 18304 18330 18612 18720 19176 19448 19552 19584 19890 20163 20592 20680 20774 21120 21216 21760 21879 21996 22440 22560 22880 23265 23936 23970 24296 24310 24440 24480 24816 24960 25344 25568 25740 26367 26520 26884 26928 27072 27333 27456 27495 28288 28764 29172 29328 29920 29952 30080 30370 31020 31161 31680 31824 31960 32640 33088 33407 33605 33660 33840 34320 35156 35360 35904 35955 36096 36444 36465 36608 36660 37224 37440 38352 38896 39104 39168 39481 39780 40326 41184 41360 41548 42240 42432 43758 43945 43992 44880 45120 45555 45760 46530 47872 47940 48592 48620 48880 48960 49632 49920 51136 51480 51629 51935 52734 53040 53768 53856 54144 54666 54912 54990 56576 57528 58344 58656 59840 60160 60489 60740 62040 62322 63360 63648 63920 65280 66176 66814 67210 67320 67680 68640 70312 70720 71808 71910 72888 72930 73320 74448 74880 76704 77792 78208 78962 79101 79560 80652 82368 82720 83096 84864 87516 87890 87984 89760 90240 91110 91520 93060 93483 95880 97184 97240 97760 97920 99264 100221 100815 102272 102960 103258 103870 105468 106080 107536 107712 108288 109332 109395 109824 109980 114257 115056 116688 117312 118443 119680 120978 121480 124080 124644 126720 127296 127840 131835 132352 133628 134420 134640 135360 136665 137280 140624 141440 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442976820 445345680 452197152 454821120 465900096 472508608 473179785 475035392 480459474 483247440 489880248 500303232 502441280 504725104 515463936 531572184 533843860 534414816 545202240 548117760 555892480 565246440 567815742 582375120 590635760 593794240 594766080 602929536 612350310 621200128 625379040 630906380 640612632 644329920 653173664 654242688 658120320 664465230 668018520 693997018 698850144 708762912 712553088 726936320 734820372 753661920 757087656 773195904 776500160 800765790 816467080 817803360 822176640 833838720 854150176 859106560 873562680 885953640 890691360 904394304 918525465 931800192 945017216 946359570 960918948 966494880 979760496 1000606464 1004882560 1009450208 1040995527 1063144368 1067687720 1068829632 1090404480 1130492880 1135631484 1164750240 1181271520 1187588480 1201148685 1205859072 1224700620 1250758080 1261812760 1281225264 1288659840 1306347328 1308485376 1316240640 1328930460 1336037040 1387994036 1397700288 1417525824 1419539355 1425106176 1469640744 1507323840 1514175312 1546391808 1553000320 1601531580 1632934160 1635606720 1644353280 1667677440 1708300352 1734992545 1747125360 1771907280 1781382720 1808788608 1837050930 1863600384 1890034432 1892719140 1921837896 1932989760 1959520992 2009765120 2018900416 2081991054 2126288736 2135375440 2137659264 2180808960 2260985760 2271262968 2329500480 2362543040 2375176960 2402297370 2449401240 2501516160 2523625520 2562450528 2577319680 2612694656 2657860920 2672074080 2775988072 2795400576 2835051648 2839078710 2939281488 3014647680 3028350624 3106000640 3122986581 3203063160 3265868320 3271213440 3416600704 3469985090 3494250720 3543814560 3562765440 3617577216 3674101860 3785438280 3843675792 3865979520 3919041984 4037800832 4163982108 4252577472 4270750880 4275318528 4521971520 4542525936 4659000960 4725086080 4804594740 4898802480 5003032320 5047251040 5124901056 5204977635 5225389312 5315721840 5344148160 5551976144 5590801152 5670103296 5678157420 5878562976 6029295360 6056701248 6245973162 6406126320 6531736640 6542426880 6833201408 6939970180 6988501440 7087629120 7125530880 7348203720 7570876560 7687351584 7731959040 7838083968 8075601664 8327964216 8505154944 8541501760 9043943040 9085051872 9318001920 9450172160 9609189480 9797604960 10094502080 10249802112 10409955270 10631443680 10688296320 11103952288 11356314840 11757125952 12113402496 12491946324 12812252640 13063473280 13879940360 13977002880 14175258240 14696407440 15141753120 15374703168 15614932905 15676167936 16655928432 17010309888 17083003520 18087886080 18170103744 19218378960 19595209920 20189004160 20499604224 20819910540 21262887360 21376592640 22207904576 22712629680 23514251904 24226804992 24983892648 25624505280 26126946560 27759880720 27954005760 28350516480 29392814880 30283506240 30749406336 31229865810 33311856864 34166007040 36340207488 38436757920 39190419840 40378008320 41639821080 42525774720 44415809152 45425259360 47028503808 49967785296 51249010560 55519761440 58785629760 60567012480 61498812672 62459731620 66623713728 72680414976 76873515840 78380839680 83279642160 85051549440 88831618304 90850518720 99935570592 102498021120 111039522880 117571259520 121134024960 124919463240 133247427456 153747031680 166559284320 181701037440 199871141184 222079045760 235142519040 249838926480 266494854912 307494063360 333118568640 363402074880 399742282368 444158091520 499677852960 666237137280 799484564736 999355705920 1332474274560 1998711411840 3997422823680
- Sum of all divisors σ(n): 17576253047808
- Sum of proper divisors (its aliquot sum) s(n): 13578830224128
- 3997422823680 is an abundant number, because the sum of its proper divisors (13578830224128) is greater than itself. Its abundance is 9581407400448
Bases of 3997422823680
- Binary: 1110100010101110001111011110101001000000002
- Hexadecimal: 0x3A2B8F7A900
- Base-36: 1F0E2C740
Squares and roots of 3997422823680
- 3997422823680 squared (39974228236802) is 15979389231277784368742400
- 3997422823680 cubed (39974228236803) is 63876375221576225365752410938540032000
-
The
square root of 3997422823680 is 1999355.6021078391 -
The
cube root of 3997422823680 is 15870.6006102477
Scales and comparisons
How big is 3997422823680?- 3,997,422,823,680 seconds is equal to 127,105 years, 35 weeks, 2 days, 20 hours, 48 minutes.
-
To count from 1 to 3,997,422,823,680 would take you about three hundred seventeen thousand, seven hundred sixty-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 3997422823680 cubic inches would be around 1322.6 feet tall.
Recreational maths with 3997422823680
- 3997422823680 backwards is 0863282247993
- The number of decimal digits it has is: 13
- The sum of 3997422823680's digits is 63
- More coming soon!
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"Number 3997422823680 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 3997422823680 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/3997422823680/
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Numbermatics. 2024. "Number 3997422823680 - Facts about the integer". https://numbermatics.com/n/3997422823680/
The information we have on file for 3997422823680 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 3997422823680, math, Factors of 3997422823680, curriculum, school, college, exams, university, Prime factorization of 3997422823680, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred ninety-seven billion, four hundred twenty-two million, eight hundred twenty-three thousand, six hundred eighty.