4139848096800

Names of 4139848096800

• Cardinal: 4139848096800 can be written as Four trillion, one hundred thirty-nine billion, eight hundred forty-eight million, ninety-six thousand, eight hundred.

Scientific notation

• Scientific notation: 4.1398480968 × 10¹²

Factors of 4139848096800

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2009

Divisors of 4139848096800

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 41 47 48 50 52 60 65 74 75 78 80 82 94 96 100 104 111 120 123 130 141 148 150 156 160 164 185 188 195 200 205 208 222 235 240 246 260 282 296 300 312 325 328 370 376 390 400 410 416 444 470 480 481 492 520 533 555 564 592 600 611 615 624 650 656 705 740 752 780 800 820 888 925 940 962 975 984 1025 1040 1066 1110 1128 1175 1184 1200 1222 1230 1248 1300 1312 1410 1443 1480 1504 1517 1560 1599 1640 1739 1776 1833 1850 1861 1880 1924 1927 1950 1968 2050 2080 2132 2220 2256 2350 2400 2405 2444 2460 2600 2665 2775 2820 2886 2960 3034 3055 3075 3120 3198 3280 3478 3525 3552 3666 3700 3722 3760 3848 3854 3900 3936 4100 4264 4440 4512 4551 4700 4810 4888 4920 5200 5217 5330 5550 5583 5640 5772 5781 5920 6068 6110 6150 6240 6396 6560 6956 7050 7215 7332 7400 7444 7520 7585 7696 7708 7800 7995 8200 8528 8695 8880 9102 9165 9305 9400 9620 9635 9776 9840 10400 10434 10660 11100 11166 11280 11544 11562 12025 12136 12220 12300 12792 13325 13912 14100 14430 14664 14800 14888 15170 15275 15392 15416 15600 15990 16400 17056 17390 17760 18204 18330 18610 18800 19240 19270 19552 19680 19721 20868 21320 22200 22332 22560 22607 22755 23088 23124 24050 24193 24272 24440 24600 25051 25584 26085 26650 27824 27915 28200 28860 28905 29328 29600 29776 30340 30550 30832 31200 31980 32800 34780 36075 36408 36660 37220 37600 37925 38480 38540 39442 39975 41736 42640 43475 44400 44664 45214 45510 45825 46176 46248 46525 48100 48175 48386 48544 48880 49200 50102 51168 52170 53300 55648 55830 56400 57720 57810 58656 59163 59552 60680 61100 61664 63960 67821 68857 69560 71299 72150 72579 72816 73320 74440 75153 75850 76301 76960 77080 78884 79950 83472 85280 86950 87467 88800 89328 90428 91020 91650 92496 93050 96200 96350 96772 97760 98400 98605 100204 104340 106600 111660 112800 113035 113775 115440 115620 118326 120965 121360 122200 125255 127920 130425 135642 137714 139120 139575 142598 144300 144525 145158 145632 146640 148880 150306 151700 152602 154160 157768 159900 166944 173900 174934 178656 180856 182040 183300 184992 186100 192400 192700 193544 197210 200408 206571 208680 213200 213897 223320 226070 227550 228903 230880 231240 236652 241930 242720 244400 250510 255840 260850 262401 271284 275428 278240 279150 285196 288600 289050 290316 293280 295815 297760 300612 303400 305204 308320 315536 319800 339105 344285 347800 349868 356495 361712 362895 364080 366600 372200 375765 381505 384800 385400 387088 394420 400816 413142 417360 426400 427794 437335 446640 452140 455100 457806 462480 473304 483860 488800 493025 501020 521700 524802 542568 550856 558300 565175 570392 577200 578100 580632 591630 601224 604825 606800 610408 626275 631072 639600 678210 688570 695600 699736 712990 723424 725790 728160 733200 744400 751530 763010 770800 774176 788840 801632 826284 834720 855588 874670 893280 895141 904280 910200 915612 924960 926887 946608 967720 986050 991913 1002040 1032855 1043400 1049604 1069485 1085136 1101712 1116600 1130350 1137071 1140784 1144515 1154400 1156200 1161264 1183260 1202448 1209650 1213600 1220816 1252550 1279200 1312005 1356420 1377140 1391200 1399472 1425980 1451580 1466400 1479075 1488800 1503060 1526020 1541600 1577680 1652568 1695525 1711176 1721425 1749340 1782475 1790282 1808560 1814475 1820400 1831224 1853774 1878825 1893216 1907525 1935440 1972100 1983826 2004080 2065710 2086800 2099208 2138970 2170272 2186675 2203424 2233200 2260700 2274142 2281568 2289030 2312400 2322528 2366520 2404896 2419300 2441632 2505100 2624010 2685423 2712840 2754280 2780661 2798944 2823137 2851960 2903160 2958150 2975739 3006120 3052040 3155360 3236279 3305136 3391050 3411213 3422352 3442850 3498680 3564950 3580564 3586147 3617120 3628950 3640800 3662448 3707548 3757650 3815050 3870880 3944200 3967652 4008160 4131420 4173600 4198416 4277940 4373350 4466400 4475705 4521400 4548284 4578060 4624800 4634435 4733040 4838600 4959565 5010200 5164275 5248020 5347425 5370846 5425680 5508560 5561322 5646274 5685355 5703920 5722575 5806320 5916300 5951478 6012240 6104080 6472558 6560025 6610272 6782100 6822426 6844704 6885700 6997360 7129900 7161128 7172294 7257900 7324896 7415096 7515300 7630100 7888400 7935304 8262840 8396832 8469411 8555880 8746700 8951410 9042800 9096568 9156120 9268870 9466080 9677200 9708837 9919130 10020400 10328550 10496040 10694850 10741692 10758441 10851360 11017120 11122644 11292548 11370710 11407840 11445150 11612640 11832600 11902956 12024480 12208160 12945116 13120050 13427115 13564200 13644852 13771400 13903305 13994720 14115685 14259800 14322256 14344588 14515800 14830192 14878695 15030600 15260200 15776800 15870608 16181395 16525680 16938822 17056065 17111760 17493400 17902820 17930735 18085600 18193136 18312240 18537740 19354400 19417674 19838260 20040800 20657100 20992080 21389700 21483384 21516882 22245288 22378525 22585096 22741420 22890300 23172175 23665200 23805912 24797825 25890232 26240100 26854230 27128400 27289704 27542800 27806610 28231370 28426775 28519600 28644512 28689176 29031600 29660384 29757390 30061200 30520400 31741216 32362790 33051360 33877644 34112130 34223520 34986800 35805640 35861470 36386272 36624480 36700781 37075480 38835348 39676520 41314200 41984160 42071627 42347055 42779400 42966768 43033764 44490576 44757050 45170192 45482840 45780600 46344350 46619911 47330400 47611824 48544185 49595650 51780464 52480200 53708460 53792205 54256800 54579408 55085600 55613220 56462740 56853550 57039200 57378352 58063200 59514780 60122400 61040800 64725580 67135575 67755288 68224260 69516525 69973600 70578425 71611280 71722940 73401562 74150960 74393475 77670696 79353040 80906975 82628400 84143254 84694110 85280325 85558800 85933536 86067528 88981152 89514100 89653675 90340384 90965680 91561200 92688700 93239822 95223648 97088370 99191300 103560928 104960400 107416920 107584410 109158816 110102343 111226440 112925480 113707100 114756704 119029560 126214881 129451160 132687439 134271150 135510576 136448520 139033050 139859733 141156850 143222560 143445880 146803124 148301920 148786950 155341392 158706080 161813950 165256800 168286508 169388220 170560650 171117600 172135056 179028200 179307350 181931360 183122400 183503905 185377400 186479644 194176740 198382600 209920800 210358135 211735275 214833840 215168820 220204686 222452880 225850960 227414200 233099555 238059120 242720925 252429762 258902320 265374878 268542300 268961025 271021152 272897040 278066100 279719466 282313700 286891760 293606248 297573900 310682784 323627900 336573016 338776440 341121300 344270112 358056400 358614700 367007810 370754800 372959288 388353480 396765200 398062317 420716270 423470550 429667680 430337640 440409372 444905760 451701920 454828400 466199110 476118240 485441850 504859524 517804640 530749756 537084600 537922050 545794080 550511715 556132200 559438932 564627400 573783520 587212496 595147800 631074405 647255800 663437195 673146032 677552880 682242600 699298665 716112800 717229400 734015620 741509600 745918576 776706960 793530400 796124634 841432540 846941100 860675280 880818744 909656800 917519525 932398220 970883700 1009719048 1051790675 1061499512 1074169200 1075844100 1101023430 1112264400 1118877864 1129254800 1165497775 1174424992 1190295600 1262148810 1294511600 1326874390 1346292064 1355105760 1364485200 1398597330 1434458800 1468031240 1491837152 1553413920 1592249268 1682865080 1693882200 1721350560 1724936707 1761637488 1835039050 1864796440 1941767400 1990311585 2019438096 2103581350 2122999024 2148338400 2151688200 2202046860 2224528800 2237755728 2258509600 2330995550 2380591200 2524297620 2589023200 2653748780 2728970400 2752558575 2797194660 2868917600 2936062480 3155372025 3184498536 3317185975 3365730160 3387764400 3449873414 3496493325 3523274976 3670078100 3729592880 3883534800 3980623170 4038876192 4207162700 4245998048 4303376400 4404093720 4475511456 4661991100 5048595240 5174810121 5307497560 5505117150 5594389320 5872124960 6310744050 6368997072 6634371950 6731460320 6775528800 6899746828 6992986650 7340156200 7459185760 7767069600 7961246340 8414325400 8606752800 8624683535 8808187440 9323982200 9951557925 10097190480 10349620242 10614995120 11010234300 11188778640 12621488100 12737994144 13268743900 13799493656 13985973300 14680312400 15922492680 16828650800 17249367070 17616374880 18647964400 19903115850 20194380960 20699240484 21229990240 22020468600 22377557280 25242976200 25874050605 26537487800 27598987312 27971946600 29360624800 31844985360 33657301600 34498734140 37295928800 39806231700 41398480968 43123417675 44040937200 50485952400 51748101210 53074975600 55197974624 55943893200 63689970720 68997468280 79612463400 82796961936 86246835350 88081874400 100971904800 103496202420 106149951200 111887786400 129370253025 137994936560 159224926800 165593923872 172493670700 206992404840 258740506050 275989873120 318449853600 344987341400 413984809680 517481012100 689974682800 827969619360 1034962024200 1379949365600 2069924048400 4139848096800
• Sum of all divisors σ(n): 15600699491328
• Sum of proper divisors (its aliquot sum) s(n): 11460851394528
• 4139848096800 is an abundant number, because the sum of its proper divisors (11460851394528) is greater than itself. Its abundance is 7321003297728

Bases of 4139848096800

• Binary: 111100001111100010001011001101110000100000₂
• Hexadecimal: 0x3C3E22CDC20
• Base-36: 1GTTIO36O

Squares and roots of 4139848096800

• 4139848096800 squared (4139848096800²) is 17138342264578582170240000
• 4139848096800 cubed (4139848096800³) is 70950133606322645451510477599232000000
• The square root of 4139848096800 is 2034661.6664202429
• The cube root of 4139848096800 is 16056.8913471947

Scales and comparisons

• 4,139,848,096,800 seconds is equal to 131,634 years, 18 weeks, 6 days, 12 hours, 40 minutes.
• To count from 1 to 4,139,848,096,800 would take you about three hundred twenty-nine thousand and eighty-five 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 4139848096800 cubic inches would be around 1338.1 feet tall.

Recreational maths with 4139848096800

• 4139848096800 backwards is 0086908489314
• 4139848096800 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4139848096800's digits is 60
• More coming soon!