106048342994400
106,048,342,994,400 is an even composite number composed of seven prime numbers multiplied together.
106048342994400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 106048342994400:
25 × 34 × 52 × 17 × 29 × 149 × 22279
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 29 × 149 × 22279)See below for interesting mathematical facts about the number 106048342994400 from the Numbermatics database.
Names of 106048342994400
- Cardinal: 106048342994400 can be written as One hundred six trillion, forty-eight billion, three hundred forty-two million, nine hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.060483429944 × 1014
Factors of 106048342994400
Divisors of 106048342994400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 29 30 32 34 36 40 45 48 50 51 54 58 60 68 72 75 80 81 85 87 90 96 100 102 108 116 120 135 136 144 145 149 150 153 160 162 170 174 180 200 204 216 225 232 240 255 261 270 272 288 290 298 300 306 324 340 348 360 400 405 408 425 432 435 447 450 459 464 480 493 510 522 540 544 580 596 600 612 648 675 680 696 720 725 745 765 783 800 810 816 850 864 870 894 900 918 928 986 1020 1044 1080 1160 1192 1200 1224 1275 1296 1305 1341 1350 1360 1377 1392 1440 1450 1479 1490 1530 1566 1620 1632 1700 1740 1788 1800 1836 1972 2025 2040 2088 2160 2175 2235 2295 2320 2349 2384 2400 2448 2465 2533 2550 2592 2610 2682 2700 2720 2754 2784 2900 2958 2980 3060 3132 3240 3400 3480 3576 3600 3672 3725 3825 3915 3944 4023 4050 4080 4176 4320 4321 4350 4437 4470 4590 4640 4698 4768 4896 4930 5066 5100 5220 5364 5400 5508 5800 5916 5960 6120 6264 6480 6525 6705 6800 6885 6960 7152 7200 7344 7395 7450 7599 7650 7830 7888 8046 8100 8160 8352 8642 8700 8874 8940 9180 9396 9860 10132 10200 10440 10728 10800 11016 11175 11475 11600 11745 11832 11920 12069 12240 12325 12528 12665 12960 12963 13050 13311 13410 13600 13770 13920 14304 14688 14790 14900 15198 15300 15660 15776 16092 16200 17284 17400 17748 17880 18360 18792 19575 19720 20115 20264 20400 20880 21456 21600 21605 22032 22185 22279 22350 22797 22950 23200 23490 23664 23840 24138 24480 24650 25056 25330 25926 26100 26622 26820 27540 29580 29800 30396 30600 31320 32184 32400 33525 34425 34568 34800 35496 35760 36720 36975 37584 37995 38889 39150 39440 39933 40230 40528 40800 41760 42912 43210 44064 44370 44558 44700 45594 45900 46980 47328 48276 49300 50660 51852 52200 53244 53640 55080 58725 59160 59600 60345 60792 61200 62640 63325 64368 64800 64815 66555 66837 67050 68391 68850 69136 69600 70992 71520 73440 73457 73950 75168 75990 77778 78300 78880 79866 80460 81056 86420 88740 89116 89400 91188 91800 93960 96552 98600 100575 101320 103704 104400 106488 107280 108025 110160 110925 111395 113985 116667 117450 118320 119200 120690 121584 122400 125280 126650 128736 129630 133110 133674 134100 136782 137700 138272 141984 146914 147900 151980 155556 156600 159732 160920 172840 177480 178232 178800 182376 183600 187920 189975 193104 194445 197200 199665 200511 201150 202640 205173 207408 208800 212976 214560 216050 220320 220371 221850 222790 227970 233334 234900 236640 241380 243168 253300 259260 266220 267348 268200 273564 275400 293828 295800 301725 303960 311112 313200 319464 321840 324075 332775 334185 341955 345680 350001 354960 356464 357600 364752 367200 367285 375840 378743 379950 386208 388890 394400 399330 401022 402300 405280 410346 414816 425952 432100 440742 443700 445580 455940 466668 469800 482760 506600 518520 532440 534696 536400 547128 550800 556975 569925 583335 587656 591600 601533 603450 607920 622224 626400 638928 643680 646091 648150 661113 665550 668370 683910 691360 700002 709920 712928 729504 734570 757486 759900 777780 798660 802044 804600 820692 864200 881484 887400 891160 911880 933336 939600 965520 972225 998325 1002555 1013200 1025865 1037040 1064880 1069392 1072800 1094256 1101600 1101855 1113950 1136229 1139850 1166670 1175312 1183200 1203066 1206900 1215840 1244448 1277856 1292182 1296300 1322226 1331100 1336740 1367820 1400004 1469140 1514972 1519800 1555560 1597320 1604088 1609200 1641384 1670925 1709775 1728400 1750005 1762968 1774800 1782320 1804599 1823760 1836425 1866672 1879200 1893715 1931040 1938273 1944450 1983339 1996650 2005110 2026400 2051730 2074080 2129760 2138784 2188512 2203710 2227900 2272458 2279700 2333340 2350624 2406132 2413800 2584364 2592600 2644452 2662200 2673480 2735640 2800008 2916675 2938280 3007665 3029944 3039600 3111120 3194640 3208176 3218400 3230455 3282768 3305565 3319571 3341850 3408687 3419550 3456800 3500010 3525936 3549600 3564640 3609198 3647520 3672850 3733344 3787430 3876546 3888900 3966678 3993300 4010220 4103460 4407420 4455800 4544916 4559400 4666680 4812264 4827600 5012775 5129325 5168728 5185200 5288904 5324400 5346960 5471280 5509275 5600016 5681145 5814819 5833350 5876560 5950017 6015330 6059888 6079200 6222240 6389280 6416352 6460910 6565536 6611130 6639142 6683700 6817374 6839100 7000020 7051872 7218396 7345700 7574860 7753092 7777800 7933356 7986600 8020440 8206920 8750025 8814840 8911600 9022995 9089832 9118800 9333360 9468575 9624528 9655200 9691365 9916695 9958713 10025550 10226061 10258650 10337456 10370400 10577808 10648800 10693920 10942560 10983547 11018550 11200032 11362290 11629638 11666700 11753120 11900034 12030660 12119776 12921820 13222260 13278284 13367400 13634748 13678200 14000040 14436792 14691400 15038325 15149720 15506184 15555600 15866712 15973200 16040880 16152275 16413840 16527825 16597855 17043435 17444457 17500050 17629680 17823200 18045990 18179664 18237600 18666720 18937150 19249056 19382730 19833390 19917426 20051100 20452122 20517300 20674912 21155616 21967094 22037100 22724580 23259276 23333400 23800068 24061320 25843640 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112865414 113622900 116296380 119000340 119504556 120306600 122712732 129218200 131802564 132222600 132782840 136347480 139555656 140000400 144367920 145370475 148750425 149380695 151497200 153390915 155061840 158667120 159339408 160408800 163616976 164138400 164753205 165978550 169298121 170434350 174444570 175736752 176296800 179256834 180459900 181796640 186074208 190400544 192535118 193827300 197703846 198333900 199174260 204521220 209333484 219670940 225730828 227245800 232592760 238000680 239009112 240613200 245425464 248967825 255651525 258436400 261666855 263605128 264445200 265565680 268885251 272694960 274588675 279111312 280000800 282163535 288735840 288802677 290740950 296555769 297500850 298761390 302994400 306781830 310123680 317334240 318678816 327233952 329506410 331957100 338596242 340868700 348889140 351473504 358513668 360919800 385070236 387654600 395407692 396667800 398348520 409042440 418666968 436111425 439341880 448142085 451461656 454491600 465185520 476001360 478018224 481226400 481337795 490850928 494259615 497935650 507894363 511303050 516872800 523333710 527210256 528890400 531131360 537770502 545389920 549177350 558222624 564327070 577605354 581481900 593111538 595001700 597522780 613563660 659012820 663914200 677192484 681737400 697778280 717027336 721839600 746903475 766954575 770140472 775309200 790815384 793335600 796697040 818084880 823766025 837333936 846490605 866408031 872222850 878683760 889667307 896284170 902923312 908983200 930371040 952002720 956036448 962675590 981701856 988519230 995871300 1015788726 1022606100 1046667420 1054420512 1075541004 1098354700 1128654140 1155210708 1162963800 1186223076 1190003400 1195045560 1227127320 1308334275 1318025640 1327828400 1344426255 1354384968 1363474800 1395556560 1410817675 1434054672 1443679200 1444013385 1482778845 1493806950 1523683089 1533909150 1540280944 1550618400 1581630768 1586671200 1593394080 1636169760 1636548503 1647532050 1674667872 1692981210 1732816062 1744445700 1757367520 1779334614 1792568340 1805846624 1925351180 1977038460 1991742600 2031577452 2045212200 2093334840 2151082008 2196709400 2240710425 2257308280 2310421416 2325927600 2372446152 2380006800 2390091120 2406688975 2454254640 2471298075 2539471815 2599224093 2616668550 2636051280 2655656800 2688852510 2708769936 2726949600 2791113120 2821635350 2868109344 2888026770 2965557690 2987613900 3047366178 3067818300 3080561888 3163261536 3273097006 3295064100 3385962420 3465632124 3488891400 3558669228 3585136680 3850702360 3954076920 3983485200 4063154904 4090424400 4186669680 4232453025 4302164016 4332040155 4393418800 4448336535 4481420850 4514616560 4571049267 4620842832 4651855200 4744892304 4760013600 4780182240 4813377950 4908509280 4909645509 4942596150 5078943630 5198448186 5233337100 5272102560 5377705020 5417539872 5643270700 5776053540 5931115380 5975227800 6094732356 6135636600 6546194012 6590128200 6722131275 6771924840 6931264248 6977782800 7117338456 7170273360 7220066925 7413894225 7618415445 7701404720 7797672279 7908153840 7966970400 8126309808 8180848800 8182742515 8373339360 8464906050 8604328032 8664080310 8786837600 8896673070 8962841700 9029233120 9142098534 9241685664 9489784608 9626755900 9819291018 9885192300 10157887260 10396896372 10466674200 10755410040 11286541400 11552107080 11862230760 11950455600 12189464712 12271273200 12697359075 12996120465 13092388024 13180256400 13444262550 13543849680 13862528496 13955565600 14234676912 14340546720 14440133850 14728936527 14827788450 15236830890 15402809440 15595344558 15816307680 16252619616 16365485030 16929812100 17328160620 17793346140 17925683400 18284197068 19253511800 19638582036 19770384600 20315774520 20793792744 20933348400 21510820080 21660200775 22241682675 22573082800 22855246335 23104214160 23724461520 23900911200 24378929424 24542546400 24548227545 25394718150 25992240930 26184776048 26360512800 26888525100 27087699360 27725056992 28469353824 28880267700 29457873054 29655576900 30473661780 31190689116 32730970060 33859624200 34656321240 35586692280 35851366800 36568394136 38092077225 38507023600 38988361395 39277164072 39540769200 40631549040 40913712575 41587585488 41866696800 43021640160 43320401550 44186809581 44483365350 45146165600 45710492670 46208428320 47448923040 48757858848 49096455090 50789436300 51984481860 52369552096 53777050200 57760535400 58915746108 59311153800 60947323560 62381378232 64980602325 65461940120 67719248400 69312642480 71173384560 71702733600 73136788272 73644682635 76184154450 77014047200 77976722790 78554328144 79081538400 81263098080 81827425150 83175170976 86640803100 88373619162 88966730700 91420985340 98192910180 101578872600 103968963720 107554100400 114276231675 115521070800 117831492216 118622307600 121894647120 122741137725 124762756464 129961204650 130923880240 132560428743 135438496800 138625284960 142346769120 146273576544 147289365270 152368308900 155953445580 157108656288 163654850300 173281606200 176747238324 177933461400 182841970680 194941806975 196385820360 203157745200 207937927440 215108200800 220934047905 228552463350 231042141600 235662984432 237244615200 243789294240 245482275450 249525512928 259922409300 261847760480 265120857486 294578730540 304736617800 311906891160 327309700600 346563212400 353494476648 355866922800 365683941360 368223413175 389883613950 392771640720 406315490400 415875854880 441868095810 457104926700 471325968864 490964550900 519844818600 530241714972 589157461080 609473235600 623813782320 654619401200 662802143715 693126424800 706988953296 711733845600 731367882720 736446826350 779767227900 785543281440 883736191620 914209853400 981929101800 1039689637200 1060483429944 1104670239525 1178314922160 1218946471200 1247627564640 1309238802400 1325604287430 1413977906592 1472893652700 1559534455800 1767472383240 1828419706800 1963858203600 2079379274400 2120966859888 2209340479050 2356629844320 2651208574860 2945787305400 3119068911600 3314010718575 3534944766480 3656839413600 3927716407200 4241933719776 4418680958100 5302417149720 5891574610800 6238137823200 6628021437150 7069889532960 8837361916200 10604834299440 11783149221600 13256042874300 17674723832400 21209668598880 26512085748600 35349447664800 53024171497200 106048342994400
- Sum of all divisors σ(n): 426469344840000
- Sum of proper divisors (its aliquot sum) s(n): 320421001845600
- 106048342994400 is an abundant number, because the sum of its proper divisors (320421001845600) is greater than itself. Its abundance is 214372658851200
Bases of 106048342994400
- Binary: 110000001110011010011011101000000101101111000002
- Hexadecimal: 0x60734DD02DE0
- Base-36: 11L9XPBY00
Squares and roots of 106048342994400
- 106048342994400 squared (1060483429944002) is 11246251051857907558431360000
- 106048342994400 cubed (1060483429944003) is 1192646288948559162128417124909264384000000
-
The
square root of 106048342994400 is 10297977.6167167891 -
The
cube root of 106048342994400 is 47333.4284468145
Scales and comparisons
How big is 106048342994400?- 106,048,342,994,400 seconds is equal to 3,372,009 years, 14 weeks, 3 days, 6 hours.
-
To count from 1 to 106,048,342,994,400 would take you about eight million, four hundred thirty thousand and twenty-three 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 106048342994400 cubic inches would be around 3944.5 feet tall.
Recreational maths with 106048342994400
- 106048342994400 backwards is 004499243840601
- 106048342994400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106048342994400's digits is 54
- More coming soon!
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The information we have on file for 106048342994400 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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