106728496118400
106,728,496,118,400 is an even composite number composed of eight prime numbers multiplied together.
106728496118400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 106728496118400:
27 × 3 × 52 × 13 × 29 × 89 × 127 × 2609
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 29 × 89 × 127 × 2609)See below for interesting mathematical facts about the number 106728496118400 from the Numbermatics database.
Names of 106728496118400
- Cardinal: 106728496118400 can be written as One hundred six trillion, seven hundred twenty-eight billion, four hundred ninety-six million, one hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.067284961184 × 1014
Factors of 106728496118400
Divisors of 106728496118400
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 32 39 40 48 50 52 58 60 64 65 75 78 80 87 89 96 100 104 116 120 127 128 130 145 150 156 160 174 178 192 195 200 208 232 240 254 260 267 290 300 312 320 325 348 356 377 381 384 390 400 416 435 445 464 480 508 520 534 580 600 624 635 640 650 696 712 725 754 762 780 800 832 870 890 928 960 975 1016 1040 1068 1131 1157 1160 1200 1248 1270 1300 1335 1392 1424 1450 1508 1524 1560 1600 1651 1664 1740 1780 1856 1885 1905 1920 1950 2032 2080 2136 2175 2225 2262 2314 2320 2400 2496 2540 2581 2600 2609 2670 2784 2848 2900 3016 3048 3120 3175 3200 3302 3471 3480 3560 3683 3712 3770 3810 3900 4064 4160 4272 4350 4450 4524 4628 4640 4800 4953 4992 5080 5162 5200 5218 5340 5568 5655 5696 5785 5800 6032 6096 6240 6350 6604 6675 6942 6960 7120 7366 7540 7620 7743 7800 7827 8128 8255 8320 8544 8700 8900 9048 9256 9280 9425 9525 9600 9906 10160 10324 10400 10436 10680 11049 11136 11303 11310 11392 11570 11600 12064 12192 12480 12700 12905 13045 13208 13350 13884 13920 14240 14732 15080 15240 15486 15600 15654 16256 16510 17088 17355 17400 17800 18096 18415 18512 18560 18850 19050 19812 20320 20648 20800 20872 21360 22098 22606 22620 23140 23200 24128 24384 24765 24960 25400 25810 26090 26416 26700 27768 27840 28275 28480 28925 29464 30160 30480 30972 31200 31308 33020 33553 33909 33917 34176 34710 34800 35600 36192 36830 37024 37700 38100 38715 39135 39624 40640 41275 41296 41600 41744 42720 44196 45212 45240 46280 46400 47879 48256 48768 49530 50800 51620 52180 52832 53400 55245 55536 55680 56515 56550 56960 57850 58928 60320 60960 61944 62400 62616 64525 65225 66040 67106 67818 67834 69420 69600 71200 72384 73660 74048 75400 75661 76200 77430 78270 79248 81280 82550 82592 83488 85440 86775 88392 90424 90480 92075 92560 92800 95758 99060 100659 101600 101751 103240 104360 105664 106800 110490 111072 113030 113100 115700 117856 120640 121920 123825 123888 124800 125232 129050 130450 132080 134212 135636 135668 138840 139200 142400 143637 144768 146939 147320 148096 150800 151322 152400 154860 156540 158496 165100 165184 166976 167765 169545 169585 170880 173550 176784 180848 180960 184150 185120 191516 193575 195675 198120 201318 203200 203502 206480 208720 211328 213600 220980 222144 226060 226200 226983 231400 232201 235712 239395 241280 243840 247650 247776 250464 258100 260900 264160 268424 271272 271336 276225 277680 278400 282575 284800 287274 293878 294640 301600 302644 304800 309720 313080 316992 327787 330200 330368 331343 333952 335530 339090 339170 347100 353568 361696 361920 368300 370240 378305 383032 387150 391350 396240 402636 406400 407004 412960 417440 427200 440817 441960 444288 452120 452400 453966 462800 464402 471424 478790 495300 495552 500928 503295 508755 516200 521800 528320 536848 542544 542672 552450 555360 565150 574548 587756 589280 603200 605288 609600 619440 626160 633984 655574 660400 662686 671060 678180 678340 694200 696603 707136 718185 723392 723840 734695 736600 740480 756610 766064 774300 782700 792480 805272 814008 825920 834880 838825 847725 847925 854400 881634 883920 904240 904800 907932 925600 928804 957580 983361 983593 990600 991104 994029 1001856 1006590 1017510 1032400 1043600 1056640 1073696 1085088 1085344 1104900 1110720 1130300 1134915 1149096 1161005 1175512 1178560 1196975 1206400 1210576 1219200 1238880 1252320 1311148 1320800 1325372 1342120 1356360 1356680 1388400 1393206 1414272 1436370 1446784 1469390 1473200 1513220 1532128 1548600 1565400 1584960 1610544 1628016 1638935 1651840 1656715 1669760 1677650 1695450 1695850 1763268 1767840 1808480 1809600 1815864 1851200 1857608 1891525 1915160 1966722 1967186 1981200 1988058 2013180 2035020 2064800 2087200 2147392 2170176 2170688 2204085 2209800 2221440 2260600 2269830 2298192 2322010 2351024 2357120 2393950 2421152 2477760 2504640 2516475 2543775 2622296 2641600 2650744 2684240 2712720 2713360 2776800 2786412 2872740 2938780 2946400 2950779 3018613 3026440 3064256 3097200 3130800 3169920 3221088 3256032 3277870 3313430 3355300 3390900 3391700 3483015 3526536 3535680 3590925 3616960 3619200 3631728 3673475 3702400 3715216 3783050 3830320 3933444 3934372 3962400 3976116 4026360 4070040 4129600 4174400 4261231 4294784 4307459 4340352 4341376 4408170 4419600 4521200 4539660 4596384 4644020 4702048 4787900 4842304 4916805 4917965 4955520 4970145 5009280 5032950 5087550 5244592 5283200 5301488 5368480 5425440 5426720 5553600 5572824 5674575 5745480 5805025 5877560 5892800 5901558 6037226 6052880 6128512 6194400 6261600 6442176 6512064 6555740 6626860 6710600 6733829 6781800 6783400 6966030 7053072 7071360 7181850 7233920 7263456 7346950 7430432 7566100 7660640 7866888 7868744 7924800 7952232 8052720 8140080 8194675 8259200 8283575 8348800 8522462 8614918 8816340 8839200 9042400 9055839 9079320 9192768 9288040 9404096 9575800 9608947 9684608 9833610 9835930 9940290 10065900 10175100 10489184 10602976 10736960 10850880 10853440 11020425 11107200 11145648 11349150 11490960 11610050 11755120 11785600 11803116 12074452 12105760 12388800 12523200 12783693 12884352 12922377 13024128 13111480 13253720 13421200 13467658 13563600 13566800 13932060 14106144 14363700 14526912 14693900 14753895 14860864 15093065 15132200 15321280 15733776 15737488 15849600 15904464 16105440 16280160 16389350 16567150 17044924 17229836 17415075 17632680 17678400 18084800 18111678 18158640 18385536 18576080 18808192 19151600 19217894 19667220 19671860 19880580 20131800 20201487 20350200 20978368 21205952 21306155 21473920 21537295 21701760 21706880 22040850 22291296 22698300 22981920 23220100 23510240 23606232 24148904 24211520 24584025 24589825 24777600 24850725 25046400 25567386 25844754 26222960 26507440 26842400 26935316 27127200 27133600 27864120 28212288 28727400 28826841 29053824 29387800 29489527 29507790 29721728 30186130 30264400 30642560 31467552 31474976 31808928 32210880 32560320 32778700 33134300 33669145 34089848 34459672 34830150 35265360 35356800 36169600 36223356 36317280 37152160 38303200 38435788 39334440 39343720 39761160 40263600 40402974 40700400 41956736 42411904 42612310 43074590 44081700 44582592 45279195 45396600 45963840 46440200 47020480 47212464 48044735 48297808 48423040 49168050 49179650 49701450 51134772 51689508 52445920 53014880 53684800 53870632 54254400 54267200 55728240 56424576 57454800 57653682 58775600 58979054 59015580 60372260 60528800 62935104 62949952 63617856 63918465 64421760 64611885 65120640 65557400 66268600 67338290 68179696 68919344 69660300 70530720 72446712 72634560 73769475 74304320 75465325 76606400 76871576 78668880 78687440 79522320 80527200 80805948 81400800 85224620 86149180 87539777 88163400 88468581 89165184 90558390 90793200 91927680 92880400 94040960 94424928 96089470 96595616 98336100 98359300 99402900 101007435 102269544 103379016 104891840 106029760 106530775 107369600 107686475 107741264 108508800 108534400 111456480 114909600 115307364 117551200 117958108 118031160 120744520 121057600 124916311 125870208 125899904 127235712 127836930 129223770 131114800 132537200 134676580 136359392 137838688 139320600 141061440 144134205 144893424 145269120 147447635 147538950 148608640 150930650 153212800 153743152 157337760 157374880 159044640 161054400 161611896 162801600 168345725 170449240 172298360 175079554 176326800 176937162 181116780 181586400 185760800 188849856 192178940 193191232 196672200 196718600 198805800 202014870 204539088 206758032 209783680 212059520 213061550 215372950 215482528 222912960 226395975 229819200 230614728 235102400 235916216 236062320 240223675 241489040 242115200 249832622 255673860 258447540 262229600 262619331 265074400 269353160 272718784 275677376 278641200 282122880 288268410 289786848 294895270 295077900 301861300 307486304 314675520 314749760 318089280 319592325 322108800 323059425 323223792 325603200 336691450 340898480 344596720 350159108 352653600 353874324 362233560 363172800 371521600 374748933 377699712 383363851 384357880 386382464 393344400 393437200 397611600 404029740 409078176 413516064 426123100 430745900 430965056 437698885 442342905 445825920 452791950 459638400 461229456 470204800 471832432 472124640 480447350 482978080 499665244 505037175 511347720 516895080 524459200 525238662 530148800 538706320 545437568 551354752 557282400 576536820 579573696 589790540 590155800 603722600 614972608 624581555 629351040 629499520 636178560 639184650 646118850 646447584 673382900 681796960 689193440 700318216 705307200 707748648 720671025 724467120 726345600 737238175 743043200 749497866 766727702 768715760 786688800 786874400 795223200 808059480 818156352 827032128 852246200 855196283 861491800 861930112 875397770 884685810 905583900 922458912 943664864 944249280 960894700 965956160 999330488 1010074350 1022695440 1033790160 1048918400 1050477324 1060297600 1077412640 1114564800 1150091553 1153073640 1159147392 1179581080 1180311600 1207445200 1229945216 1249163110 1278369300 1292237700 1292895168 1313096655 1346765800 1363593920 1378386880 1400636432 1410614400 1415497296 1441342050 1448934240 1474476350 1498995732 1533455404 1537431520 1573377600 1573748800 1590446400 1616118960 1636312704 1654064256 1704492400 1710392566 1722983600 1750795540 1769371620 1811167800 1844917824 1873744665 1887329728 1888498560 1916819255 1921789400 1931912320 1998660976 2020148700 2045390880 2067580320 2100954648 2154825280 2188494425 2211714525 2229129600 2300183106 2306147280 2359162160 2360623200 2414890400 2498326220 2556738600 2565588849 2584475400 2585790336 2626193310 2693531600 2727187840 2756773760 2801272864 2830994592 2882684100 2897868480 2948952700 2997991464 3066910808 3074863040 3122907775 3146755200 3147497600 3180892800 3232237920 3408984800 3420785132 3445967200 3501591080 3538743240 3622335600 3689835648 3747489330 3774659456 3833638510 3843578800 3997321952 4040297400 4090781760 4135160640 4201909296 4275981415 4309650560 4376988850 4423429050 4600366212 4612294560 4718324320 4721246400 4829780800 4996652440 5113477200 5131177698 5168950800 5252386620 5387063200 5602545728 5661989184 5750457765 5765368200 5795736960 5897905400 5995982928 6133821616 6149726080 6245815550 6464475840 6565483275 6817969600 6841570264 6891934400 7003182160 7077486480 7244671200 7494978660 7667277020 7687157600 7994643904 8080594800 8181563520 8270321280 8403818592 8551962830 8753977700 8846858100 9200732424 9224589120 9368723325 9436648640 9442492800 9584096275 9659561600 9993304880 10226954400 10262355396 10337901600 10504773240 10774126400 11117551679 11205091456 11323978368 11500915530 11530736400 11795810800 11991965856 12267643232 12491631100 12827944245 12928951680 13130966550 13635939200 13683140528 13783868800 14006364320 14154972960 14489342400 14989957320 15334554040 15374315200 15989287808 16161189600 16807637184 17103925660 17507955400 17693716200 18401464848 18449178240 18737446650 18873297280 19168192550 19986609760 20453908800 20524710792 20675803200 21009546480 21379907075 21548252800 22235103358 23001831060 23061472800 23591621600 23983931712 24535286464 24983262200 25655888490 26261933100 27366281056 28012728640 28309945920 28752288825 28978684800 29979914640 30669108080 30748630400 32322379200 33352655037 33615274368 34207851320 35015910800 35387432400 36802929696 37474893300 38336385100 39973219520 40907817600 41049421584 41351606400 42019092960 42759814150 44470206716 46003662120 46122945600 47183243200 47967863424 49070572928 49966524400 51311776980 52523866200 54732562112 55587758395 56025457280 56619891840 57504577650 59959829280 61338216160 64139721225 64644758400 66705310074 68415702640 70031821600 70774864800 73605859392 74949786600 76672770200 79946439040 82098843168 84038185920 85519628300 88940413432 92007324240 92245891200 94366486400 99933048800 102623553960 105047732400 109465124224 111175516790 115009155300 119919658560 122676432320 128279442450 133410620148 136831405280 140063643200 141549729600 147211718784 149899573200 153345540400 164197686336 166763275185 168076371840 171039256600 177880826864 184014648480 199866097600 205247107920 210095464800 222351033580 230018310600 239839317120 245352864640 256558884900 266821240296 273662810560 277938791975 280127286400 283099459200 299799146400 306691080800 328395372672 333526550370 342078513200 355761653728 368029296960 399732195200 410494215840 420190929600 444702067160 460036621200 513117769800 533642480592 547325621120 555877583950 599598292800 613382161600 667053100740 684157026400 711523307456 736058593920 820988431680 833816375925 840381859200 889404134320 920073242400 1026235539600 1067284961184 1111755167900 1199196585600 1226764323200 1334106201480 1368314052800 1423046614912 1641976863360 1667632751850 1778808268640 1840146484800 2052471079200 2134569922368 2223510335800 2668212402960 2736628105600 3335265503700 3557616537280 3680292969600 4104942158400 4269139844736 4447020671600 5336424805920 6670531007400 7115233074560 8209884316800 8894041343200 10672849611840 13341062014800 17788082686400 21345699223680 26682124029600 35576165372800 53364248059200 106728496118400
- Sum of all divisors σ(n): 399304442880000
- Sum of proper divisors (its aliquot sum) s(n): 292575946761600
- 106728496118400 is an abundant number, because the sum of its proper divisors (292575946761600) is greater than itself. Its abundance is 185847450643200
Bases of 106728496118400
- Binary: 110000100010001101010100001100100111010100000002
- Hexadecimal: 0x6111AA193A80
- Base-36: 11TYE6XV9C
Squares and roots of 106728496118400
- 106728496118400 squared (1067284961184002) is 11390971883695323866818560000
- 106728496118400 cubed (1067284961184003) is 1215741298473779909567975559517077504000000
-
The
square root of 106728496118400 is 10330948.4617047625 -
The
cube root of 106728496118400 is 47434.4056550395
Scales and comparisons
How big is 106728496118400?- 106,728,496,118,400 seconds is equal to 3,393,636 years, 2 weeks, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 106,728,496,118,400 would take you about eight million, four hundred eighty-four thousand and ninety 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 106728496118400 cubic inches would be around 3952.9 feet tall.
Recreational maths with 106728496118400
- 106728496118400 backwards is 004811694827601
- The number of decimal digits it has is: 15
- The sum of 106728496118400's digits is 57
- More coming soon!
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"Number 106728496118400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 106728496118400 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/106728496118400/
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The information we have on file for 106728496118400 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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