106983738087408
106,983,738,087,408 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106983738087408 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
106983738087408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 106983738087408:
24 × 35 × 7 × 13 × 19 × 79 × 201451
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 19 × 79 × 201451)See below for interesting mathematical facts about the number 106983738087408 from the Numbermatics database.
Names of 106983738087408
- Cardinal: 106983738087408 can be written as One hundred six trillion, nine hundred eighty-three billion, seven hundred thirty-eight million, eighty-seven thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.06983738087408 × 1014
Factors of 106983738087408
Divisors of 106983738087408
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 36 38 39 42 48 52 54 56 57 63 72 76 78 79 81 84 91 104 108 112 114 117 126 133 144 152 156 158 162 168 171 182 189 208 216 228 234 237 243 247 252 266 273 304 312 316 324 336 342 351 364 378 399 432 456 468 474 486 494 504 513 532 546 553 567 624 632 648 684 702 711 728 741 756 798 819 912 936 948 972 988 1008 1026 1027 1053 1064 1092 1106 1134 1197 1264 1296 1368 1404 1422 1456 1482 1501 1512 1539 1596 1638 1659 1701 1729 1872 1896 1944 1976 2052 2054 2106 2128 2133 2184 2212 2223 2268 2394 2457 2736 2808 2844 2964 3002 3024 3078 3081 3159 3192 3276 3318 3402 3458 3591 3792 3888 3952 4104 4108 4212 4266 4368 4424 4446 4503 4536 4617 4788 4914 4977 5187 5616 5688 5928 6004 6156 6162 6318 6384 6399 6552 6636 6669 6804 6916 7182 7189 7371 8208 8216 8424 8532 8848 8892 9006 9072 9234 9243 9576 9828 9954 10374 10507 10773 11376 11856 12008 12312 12324 12636 12798 13104 13272 13338 13509 13608 13832 14364 14378 14742 14931 15561 16432 16848 17064 17784 18012 18468 18486 19152 19197 19513 19656 19908 20007 20748 21014 21546 21567 22113 24016 24624 24648 25272 25596 26544 26676 27018 27216 27664 27729 28728 28756 29484 29862 31122 31521 32319 34128 35568 36024 36936 36972 38394 39026 39312 39816 40014 40527 41496 42028 43092 43134 44226 44793 46683 49296 50544 51192 53352 54036 55458 57456 57512 58539 58968 59724 60021 62244 63042 64638 64701 72048 73872 73944 76788 78052 79632 80028 81054 82992 83187 84056 86184 86268 88452 89586 93366 94563 102384 106704 108072 110916 115024 117078 117936 119448 120042 121581 124488 126084 129276 129402 134379 136591 140049 147888 153576 156104 160056 162108 166374 168112 172368 172536 175617 176904 179172 186732 189126 194103 201451 216144 221832 234156 238896 240084 243162 248976 249561 252168 258552 258804 268758 273182 280098 283689 307152 312208 320112 324216 332748 345072 351234 353808 358344 364743 373464 378252 388206 402902 409773 420147 443664 468312 480168 486324 499122 504336 517104 517608 526851 537516 546364 560196 567378 582309 604353 648432 665496 702468 716688 729486 746928 756504 776412 805804 819546 840294 851067 936624 960336 972648 998244 1035216 1053702 1075032 1092728 1120392 1134756 1164618 1208706 1229319 1330992 1404936 1410157 1458972 1513008 1552824 1580553 1611608 1639092 1680588 1702134 1746927 1813059 1945296 1996488 2107404 2150064 2185456 2240784 2269512 2329236 2417412 2458638 2553201 2618863 2809872 2820314 2917944 3105648 3161106 3223216 3278184 3361176 3404268 3493854 3626118 3687957 3827569 3992976 4214808 4230471 4539024 4658472 4741659 4834824 4917276 5106402 5237726 5439177 5640628 5835888 6322212 6556368 6722352 6808536 6987708 7252236 7375914 7655138 7856589 8429616 8460942 9316944 9483318 9669648 9834552 10212804 10475452 10878354 11063871 11281256 11482707 12644424 12691413 13617072 13975416 14504472 14751828 15310276 15713178 15914629 16317531 16921884 18332041 18966636 19669104 20425608 20950904 21756708 22127742 22562512 22965414 23569767 25288848 25382826 26792983 27950832 29008944 29503656 30620552 31426356 31829258 32635062 33191613 33843768 34448121 36664082 37933272 38074239 40851216 41901808 43513416 44255484 45930828 47139534 47743887 48952593 49758397 50765652 53585966 54996123 59007312 61241104 62852712 63658516 65270124 66383226 67687536 68896242 70709301 73328164 75866544 76148478 80378949 87026832 88510968 91861656 94279068 95487774 97905186 99516794 101531304 103344363 107171932 109992246 111402403 114222717 125705424 127317032 130540248 132766452 137792484 141418602 143231661 146656328 149275191 152296956 160757898 164988369 177021936 183723312 188558136 190975548 195810372 199033588 203062608 206688726 206890177 212127903 214343864 219984492 222804806 228445434 241136847 254634064 261080496 265532904 275584968 282837204 286463322 293312656 298550382 302377951 304593912 310033089 321515796 329976738 334207209 342668151 348308779 377116272 381951096 391620744 398067176 413377452 413780354 424255806 428687728 429694983 439968984 445609612 447825573 456890868 482273694 494965107 531065808 551169936 565674408 572926644 597100764 604755902 609187824 620066178 620670531 636383709 643031592 659953476 668414418 685336302 696617558 723410541 763902192 783241488 796134352 826754904 827560708 848511612 859389966 879937968 891219224 895651146 907133853 913781736 930099267 964547388 989930214 1002621627 1044926337 1131348816 1145853288 1194201528 1209511804 1240132356 1241341062 1272767418 1286063184 1289084949 1319906952 1336828836 1343476719 1370672604 1393235116 1446821082 1448231239 1484895321 1653509808 1655121416 1697023224 1718779932 1782438448 1791302292 1814267706 1827563472 1860198534 1862011593 1929094776 1979860428 2005243254 2089852674 2116645657 2170231623 2291706576 2388403056 2419023608 2480264712 2482682124 2545534836 2578169898 2639813904 2673657672 2686953438 2721401559 2741345208 2786470232 2893642164 2896462478 2969790642 3007864881 3134779011 3310242832 3394046448 3437559864 3582604584 3628535412 3720397068 3724023186 3858189552 3867254847 3930913363 3959720856 4010486508 4030430157 4179705348 4233291314 4340463246 4344693717 4454685963 4838047216 4960529424 4965364248 5091069672 5156339796 5347315344 5373906876 5442803118 5482690416 5572940464 5586034779 5787284328 5792924956 5939581284 6015729762 6269558022 6349936971 6510694869 6875119728 7165209168 7257070824 7440794136 7448046372 7734509694 7861826726 7919441712 8020973016 8060860314 8164204677 8359410696 8466582628 8680926492 8689387434 8909371926 9023594643 9404337033 9930728496 10182139344 10312679592 10747813752 10885606236 11172069558 11574568656 11585849912 11792740089 11879162568 12031459524 12091290471 12539116044 12699873942 13021389738 13034081151 14514141648 14881588272 14896092744 15469019388 15723653452 16041946032 16121720628 16328409354 16718821392 16758104337 16933165256 17361852984 17378774868 17818743852 18047189286 18808674066 19049810913 20625359184 21495627504 21771212472 22344139116 23171699824 23585480178 23758325136 24062919048 24182580942 24492614031 25078232088 25399747884 26042779476 26068162302 27070783929 27516393541 28213011099 29792185488 30938038776 31447306904 32243441256 32656818708 33516208674 33866330512 34723705968 34757549736 35378220267 35637487704 36094378572 37617348132 38099621826 39102243453 43542424944 44688278232 47170960356 48125838096 48365161884 48985228062 50156464176 50274313011 50799495768 52085558952 52136324604 54141567858 55032787082 56426022198 57149432739 61876077552 62894613808 64486882512 65313637416 67032417348 69515099472 70756440534 71274975408 72188757144 73477842093 75234696264 76199243652 78204486906 82549180623 84639033297 89376556464 94341920712 96730323768 97970456124 100548626022 101598991536 104171117904 104272649208 106134660801 108283135716 110065574164 112852044396 114298865478 117306730359 130627274832 134064834696 141512881068 144377514288 146955684186 150469392528 152398487304 156408973812 165098361246 169278066594 171448298217 188683841424 193460647536 195940912248 201097252044 208545298416 212269321602 216566271432 220131148328 225704088792 228597730956 234613460718 247647541869 268129669392 283025762136 293911368372 304796974608 312817947624 318403982403 330196722492 338556133188 342896596434 351920191077 391881824496 402194504088 424538643204 433132542864 440262296656 451408177584 457195461912 469226921436 495295083738 514344894651 566051524272 587822736744 625635895248 636807964806 660393444984 677112266376 685793192868 703840382154 742942625607 804389008176 849077286408 914390923824 938453842872 955211947209 990590167476 1028689789302 1175645473488 1273615929612 1320786889968 1354224532752 1371586385736 1407680764308 1485885251214 1698154572816 1876907685744 1910423894418 1981180334952 2057379578604 2228827876821 2547231859224 2743172771472 2815361528616 2971770502428 3820847788836 3962360669904 4114759157208 4457655753642 5094463718448 5630723057232 5943541004856 6686483630463 7641695577672 8229518314416 8915311507284 11887082009712 13372967260926 15283391155344 17830623014568 26745934521852 35661246029136 53491869043704 106983738087408
- Sum of all divisors σ(n): 407354638745600
- Sum of proper divisors (its aliquot sum) s(n): 300370900658192
- 106983738087408 is an abundant number, because the sum of its proper divisors (300370900658192) is greater than itself. Its abundance is 193387162570784
Bases of 106983738087408
- Binary: 110000101001101000101111011010010010111111100002
- Hexadecimal: 0x614D17B497F0
- Base-36: 11X7NFF300
Squares and roots of 106983738087408
- 106983738087408 squared (1069837380874082) is 11445520215155113149848158464
- 106983738087408 cubed (1069837380874083) is 1224484536972288285549988255096986267021312
-
The
square root of 106983738087408 is 10343294.3537060763 -
The
cube root of 106983738087408 is 47472.1887926731
Scales and comparisons
How big is 106983738087408?- 106,983,738,087,408 seconds is equal to 3,401,751 years, 49 weeks, 2 days, 8 hours, 16 minutes, 48 seconds.
-
To count from 1 to 106,983,738,087,408 would take you about eight million, five hundred four thousand, three hundred seventy-nine 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 106983738087408 cubic inches would be around 3956 feet tall.
Recreational maths with 106983738087408
- 106983738087408 backwards is 804780837389601
- 106983738087408 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106983738087408's digits is 72
- More coming soon!
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The information we have on file for 106983738087408 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!
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