42906211668320
42,906,211,668,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42906211668320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
42906211668320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42906211668320:
25 × 5 × 7 × 11 × 133 × 23 × 413
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 13 × 13 × 13 × 23 × 41 × 41 × 41)See below for interesting mathematical facts about the number 42906211668320 from the Numbermatics database.
Names of 42906211668320
- Cardinal: 42906211668320 can be written as Forty-two trillion, nine hundred six billion, two hundred eleven million, six hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.290621166832 × 1013
Factors of 42906211668320
Divisors of 42906211668320
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 23 26 28 32 35 40 41 44 46 52 55 56 65 70 77 80 82 88 91 92 104 110 112 115 130 140 143 154 160 161 164 169 176 182 184 205 208 220 224 230 253 260 280 286 287 299 308 322 328 338 352 364 368 385 410 416 440 451 455 460 506 520 533 560 572 574 598 616 644 656 676 715 728 736 770 805 820 845 880 902 910 920 943 1001 1012 1040 1066 1120 1144 1148 1183 1196 1232 1265 1288 1312 1352 1430 1435 1456 1495 1540 1610 1640 1681 1690 1760 1771 1804 1820 1840 1859 1886 2002 2024 2080 2093 2132 2197 2255 2288 2296 2366 2392 2464 2530 2576 2665 2704 2860 2870 2912 2990 3080 3157 3220 3280 3289 3362 3380 3542 3608 3640 3680 3718 3731 3772 3887 4004 4048 4186 4264 4394 4510 4576 4592 4715 4732 4784 5005 5060 5152 5330 5408 5720 5740 5863 5915 5980 6160 6314 6440 6560 6578 6601 6724 6760 6929 7084 7216 7280 7436 7462 7544 7774 8008 8096 8372 8405 8528 8788 8855 9020 9184 9295 9430 9464 9568 10010 10120 10373 10465 10660 10985 11440 11480 11726 11767 11830 11960 12259 12320 12628 12880 13013 13156 13202 13448 13520 13858 14168 14432 14560 14872 14924 15088 15379 15548 15785 16016 16445 16744 16810 17056 17576 17710 18040 18491 18590 18655 18860 18928 19435 20020 20240 20746 20930 21320 21853 21970 22880 22960 23023 23452 23534 23660 23920 24167 24518 25256 25760 26026 26312 26404 26896 27040 27209 27716 28336 29315 29744 29848 30176 30758 31096 31570 32032 32890 33005 33488 33620 34645 35152 35420 36080 36982 37180 37310 37720 37856 38663 38870 40040 40480 41041 41492 41860 42640 42757 43706 43940 45920 46046 46904 47068 47320 47840 48334 48503 49036 50512 50531 51865 52052 52624 52808 53792 54418 55432 56672 58630 58835 59488 59696 61295 61516 62192 63140 65065 65780 66010 66976 67240 68921 69290 70304 70840 72160 72611 73964 74360 74620 75440 76219 76895 77326 77740 80080 82082 82984 83720 85280 85514 85813 87412 87880 90077 92092 92455 93808 94136 94640 96668 97006 98072 101024 101062 103730 104104 105248 105616 108836 109265 110864 115115 117260 117670 119392 120835 122590 123032 124384 126280 129437 130130 131560 132020 134480 134849 136045 137842 138580 141680 145222 147928 148720 149240 150880 152438 152971 153790 154652 155480 159367 160160 164164 165968 167440 169169 171028 171626 174824 175760 180154 184184 184910 187616 188272 189280 193315 193336 194012 196144 202124 205205 207460 208208 211232 213785 217672 218530 221728 230230 234520 235340 240383 241670 242515 245180 246064 252560 252655 258874 260260 263120 264040 268960 269698 270641 272090 275684 277160 283360 284089 290444 295856 297440 298480 299299 304876 305942 307580 309304 310960 318734 328328 331936 334880 338338 342056 343252 344605 349648 351520 353717 360308 363055 368368 369820 376544 381095 386630 386672 388024 392288 404248 410410 414920 416416 425293 427570 429065 435344 437060 450385 460460 469040 470680 480766 482447 483340 485030 490360 492128 502619 505120 505310 517748 520520 526240 528080 533533 539396 541282 544180 551368 554320 555841 568178 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81249454 81533543 82429516 82870840 84910672 84942611 85365280 87185065 87499412 88460944 88770248 88934560 89245520 91157924 91476658 93181192 95265632 98170072 98557030 99999328 100348976 100886240 103036895 103408396 104544752 106138340 109374265 110576180 110962810 110974864 112586656 113947405 116019176 116476490 118181024 119082040 121300960 122059091 122712590 124508384 124999160 125436220 126814640 128124139 129260495 130680940 134614480 137979842 138718580 139496104 140242960 140733320 143355680 143749034 144251653 145023970 147726280 151030880 151419437 154806652 155635480 157691248 158535520 159089840 159526367 162498908 163067086 164859032 165741680 169821344 169885222 174370130 174998824 176921888 177540496 178491040 182315848 182953316 186362384 193508315 196340144 197114060 200697952 203123635 206073790 206816792 209089504 212276680 218748530 221152360 221925620 221949728 226681169 227894810 228691645 232038352 232952980 238164080 244118182 245425180 249998320 250872440 253629280 256248278 258520990 261361880 267895927 269228960 275959684 277437160 278992208 280485920 281466640 284373089 287498068 288503306 290047940 295452560 302838874 309613304 311270960 315382496 318179680 319052734 324997816 326134172 329718064 331483360 339770444 344949605 348740260 349997648 355080992 359372585 364631696 365906632 372724768 387016630 392680288 394228120 406247270 407667715 412147580 413633584 424553360 424713055 437497060 442304720 443851240 453362338 455789620 457383290 464076704 465905960 476328160 488236364 490850360 499996640 501744880 503121619 512496556 517041980 522723760 535791854 551919368 554874320 557984416 562933280 568746178 574996136 577006612 580095880 590905120 594598277 605677748 610295455 619226608 622541920 638105468 640620695 649995632 652268344 659436128 679540888 689899210 697480520 699995296 718745170 721258265 729263392 731813264 757097185 774033260 788456240 797631835 812494540 815335430 824295160 827267168 849106720 849426110 874994120 884609440 887702480 896868973 906724676 911579240 914766580 931811920 934368721 976472728 981700720 1003489760 1006243238 1024993112 1034083960 1045447520 1059936059 1071583708 1103838736 1109748640 1133405845 1137492356 1149992272 1154013224 1160191760 1189196554 1211355496 1220590910 1238453216 1276210936 1281241390 1299991264 1304536688 1339479635 1359081776 1379798420 1394961040 1421865445 1437490340 1442516530 1463626528 1514194370 1548066520 1576912480 1586768183 1595263670 1624989080 1630670860 1648590320 1665613807 1698852220 1749988240 1775404960 1793737946 1813449352 1823158480 1829533160 1863623840 1868737442 1875271489 1952945456 1963401440 2012486476 2049986224 2068167920 2119872118 2143167416 2207677472 2266811690 2274984712 2299984544 2308026448 2320383520 2378393108 2422710992 2441181820 2515608095 2552421872 2562482780 2609073376 2678959270 2718163552 2759596840 2789922080 2843730890 2874980680 2885033060 2946855197 2972991385 3028388740 3096133040 3173536366 3190527340 3249978160 3261341720 3297180640 3331227614 3397704440 3482647051 3499976480 3587475892 3626898704 3646316960 3659066320 3737474884 3750542978 3905890912 4024972952 4099972448 4136335840 4239744236 4286334832 4484344865 4533623380 4549969424 4616052896 4671843605 4756786216 4845421984 4882363640 5031216190 5104843744 5124965560 5299680295 5357918540 5519193680 5687461780 5749961360 5770066120 5893710394 5945982770 6056777480 6192266080 6347072732 6381054680 6499956320 6522683440 6540581047 6662455228 6795408880 6965294102 7174951784 7253797408 7318132640 7474949768 7501085956 7933840915 8049945904 8328069035 8479488472 8572669664 8968689730 9067246760 9099938848 9343687210 9376357445 9513572432 9764727280 10062432380 10249931120 10599360590 10715837080 11038387360 11374923560 11499922720 11540132240 11659296649 11787420788 11891965540 12113554960 12694145464 12762109360 13045366880 13081162094 13324910456 13590817760 13930588204 14349903568 14734275985 14949899536 15002171912 15867681830 16099891808 16656138070 16958976944 17413235255 17937379460 18134493520 18687374420 18752714890 19027144864 19529454560 20124864760 20499862240 20627986379 21198721180 21431674160 22749847120 23080264480 23318593298 23574841576 23783931080 24227109920 24378529357 25388290928 25524218720 26162324188 26649820912 27861176408 28699807136 29468551970 29899799072 30004343824 31735363660 32702905235 33312276140 33917953888 34826470510 35874758920 36268987040 37374748840 37505429780 38309117561 40249729520 41255972758 42397442360 42863348320 45499694240 46637186596 47149683152 47567862160 48757058714 50776581856 52324648376 53299641824 55722352816 58296483245 58937103940 60008687648 63470727320 65405810470 66624552280 69652941020 71749517840 74749497680 75010859560 76618235122 80499459040 82511945516 84794884720 93274373192 94299366304 95135724320 97514117428 103139931895 104649296752 111444705632 116592966490 117874207880 121892646785 126941454640 130811620940 133249104560 139305882040 143499035680 149498995360 150021719120 153236470244 165023891032 169589769440 186548746384 191545587805 195028234856 206279863790 209298593504 233185932980 235748415760 243785293570 253882909280 261623241880 266498209120 268163822927 278611764080 300043438240 306472940488 330047782064 373097492768 383091175610 390056469712 412559727580 466371865960 471496831520 487570587140 523246483760 536327645854 557223528160 612945880976 660095564128 766182351220 780112939424 825119455160 932743731920 975141174280 1046492967520 1072655291708 1225891761952 1340819114635 1532364702440 1650238910320 1865487463840 1950282348560 2145310583416 2681638229270 3064729404880 3300477820640 3900564697120 4290621166832 5363276458540 6129458809760 8581242333664 10726552917080 21453105834160 42906211668320
- Sum of all divisors σ(n): 146428803440640
- Sum of proper divisors (its aliquot sum) s(n): 103522591772320
- 42906211668320 is an abundant number, because the sum of its proper divisors (103522591772320) is greater than itself. Its abundance is 60616380104000
Bases of 42906211668320
- Binary: 10011100000101111000011000000101010001011000002
- Hexadecimal: 0x2705E1815160
- Base-36: F7IUAMDSW
Squares and roots of 42906211668320
- 42906211668320 squared (429062116683202) is 1840942999726679317691622400
- 42906211668320 cubed (429062116683203) is 78987890015584870711547105226391482368000
-
The
square root of 42906211668320 is 6550283.3273317269 -
The
cube root of 42906211668320 is 35008.4909109315
Scales and comparisons
How big is 42906211668320?- 42,906,211,668,320 seconds is equal to 1,364,284 years, 42 weeks, 2 days, 2 hours, 5 minutes, 20 seconds.
-
To count from 1 to 42,906,211,668,320 would take you about three million, four hundred ten thousand, seven hundred twelve 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 42906211668320 cubic inches would be around 2917.4 feet tall.
Recreational maths with 42906211668320
- 42906211668320 backwards is 02386611260924
- The number of decimal digits it has is: 14
- The sum of 42906211668320's digits is 50
- More coming soon!
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"Number 42906211668320 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 42906211668320 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/42906211668320/
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The information we have on file for 42906211668320 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 42906211668320, math, Factors of 42906211668320, curriculum, school, college, exams, university, Prime factorization of 42906211668320, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, nine hundred six billion, two hundred eleven million, six hundred sixty-eight thousand, three hundred twenty.