148013771212800

Names of 148013771212800

• Cardinal: 148013771212800 can be written as One hundred forty-eight trillion, thirteen billion, seven hundred seventy-one million, two hundred twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 1.480137712128 × 10¹⁴

Factors of 148013771212800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 362

Divisors of 148013771212800

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 75 80 81 82 90 96 100 108 120 123 128 135 144 150 160 162 164 180 192 200 205 216 225 240 243 246 256 270 288 300 311 320 324 328 360 369 384 400 405 410 432 450 480 486 492 512 540 576 600 615 622 640 648 656 675 720 729 738 768 800 810 820 864 900 933 960 972 984 1024 1025 1080 1107 1152 1200 1215 1230 1244 1280 1296 1312 1350 1440 1458 1476 1536 1555 1600 1620 1640 1728 1800 1845 1866 1920 1944 1968 2025 2048 2050 2160 2214 2304 2400 2430 2460 2488 2560 2592 2624 2700 2799 2880 2916 2952 3072 3075 3110 3200 3240 3280 3321 3456 3600 3645 3690 3732 3840 3888 3936 4050 4100 4320 4428 4608 4665 4800 4860 4920 4976 5120 5184 5248 5400 5535 5598 5760 5832 5904 6075 6144 6150 6220 6400 6480 6560 6642 6912 7200 7290 7380 7464 7680 7775 7776 7872 8100 8200 8397 8640 8856 9216 9225 9330 9600 9720 9840 9952 9963 10240 10368 10496 10800 11070 11196 11520 11664 11808 12150 12300 12440 12751 12800 12960 13120 13284 13824 13995 14400 14580 14760 14928 15360 15550 15552 15744 16200 16400 16605 16794 17280 17712 18225 18432 18450 18660 19200 19440 19680 19904 19926 20736 20992 21600 22140 22392 23040 23325 23328 23616 24300 24600 24880 25191 25502 25600 25920 26240 26568 27648 27675 27990 28800 29160 29520 29856 29889 30720 31100 31104 31488 32400 32800 33210 33588 34560 35424 36450 36900 37320 38253 38400 38880 39360 39808 39852 41472 41984 41985 43200 44280 44784 46080 46650 46656 47232 48600 49200 49760 49815 50382 51004 51200 51840 52480 53136 55296 55350 55980 57600 58320 59040 59712 59778 62200 62208 62976 63755 64800 65600 66420 67176 69120 69975 70848 72900 73800 74640 75573 76506 76800 77760 78720 79616 79704 82944 83025 83968 83970 86400 88560 89568 92160 93300 93312 94464 96721 97200 98400 99520 99630 100764 102008 103680 104960 106272 110700 111960 114759 115200 116640 118080 119424 119556 124400 124416 125952 125955 127510 129600 131200 132840 134352 138240 139950 141696 145800 147600 149280 149445 151146 153012 153600 155520 157440 159232 159408 165888 166050 167940 172800 177120 179136 186600 186624 188928 191265 193442 194400 196800 199040 199260 201528 204016 207360 209920 209925 212544 221400 223920 226719 229518 230400 233280 236160 238848 239112 248800 248832 249075 251904 251910 255020 259200 262400 265680 268704 276480 279900 283392 290163 291600 295200 298560 298890 302292 306024 311040 314880 318464 318775 318816 332100 335880 344277 345600 354240 358272 373200 373248 377856 377865 382530 386884 388800 393600 398080 398520 403056 408032 414720 419840 419850 425088 442800 447840 453438 459036 460800 466560 472320 477696 478224 483605 497600 497664 498150 503820 510040 518400 524800 531360 537408 559800 566784 573795 580326 583200 590400 597120 597780 604584 612048 622080 629760 629775 636928 637550 637632 664200 671760 688554 691200 708480 716544 746400 746496 747225 755712 755730 765060 773768 777600 787200 796160 797040 806112 816064 829440 839700 850176 870489 885600 895680 906876 918072 933120 944640 955392 956325 956448 967210 995200 996300 1007640 1020080 1032831 1036800 1049600 1062720 1074816 1119600 1133568 1133595 1147590 1160652 1166400 1180800 1194240 1195560 1209168 1224096 1244160 1259520 1259550 1275100 1275264 1328400 1343520 1377108 1382400 1416960 1433088 1450815 1492800 1492992 1494450 1511460 1530120 1547536 1555200 1574400 1592320 1594080 1612224 1632128 1679400 1700352 1721385 1740978 1771200 1791360 1813752 1836144 1866240 1889280 1889325 1910784 1912650 1912896 1934420 1990400 1992600 2015280 2040160 2065662 2073600 2099200 2125440 2149632 2239200 2267136 2267190 2295180 2321304 2332800 2361600 2388480 2391120 2418025 2418336 2448192 2488320 2519100 2550200 2550528 2611467 2656800 2687040 2754216 2833920 2866176 2868975 2901630 2985600 2988900 3022920 3060240 3095072 3098493 3110400 3148800 3184640 3188160 3224448 3264256 3358800 3400704 3442770 3481956 3542400 3582720 3627504 3672288 3732480 3778560 3778650 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642420882 644889600 652851200 661011840 668535552 696391200 705079296 705096090 713800980 725500800 734457600 742817280 743638320 752102496 761387712 765158400 773867520 783440100 793112200 793214208 826264800 835669440 856561176 881349120 891380736 892251225 928521600 929547900 940128120 951734640 963631323 967334400 979276800 990423040 991517760 1002803328 1015183616 1044586800 1057618944 1070701470 1101686400 1114225920 1128153744 1142081568 1160801280 1175132160 1175160150 1189668300 1189821312 1238028800 1239397200 1253504160 1268979520 1284841764 1289779200 1322023680 1337071104 1392782400 1410192180 1427601960 1451001600 1468915200 1485634560 1487276640 1504204992 1522775424 1530316800 1566880200 1586224400 1586428416 1606052205 1652529600 1671338880 1713122352 1762698240 1762740225 1782761472 1784502450 1857043200 1859095800 1880256240 1903469280 1927262646 1934668800 1958553600 1983035520 2005606656 2030367232 2089173600 2115237888 2141402940 2203372800 2228451840 2256307488 2284163136 2321602560 2350320300 2379336600 2379642624 2476057600 2478794400 2507008320 2537959040 2569683528 2644047360 2674142208 2676753675 2785564800 2820384360 2855203920 2890893969 2902003200 2937830400 2971269120 2974553280 3008409984 3045550848 3133760400 3172448800 3172856832 3212104410 3305059200 3342677760 3426244704 3525396480 3525480450 3569004900 3714086400 3718191600 3760512480 3806938560 3854525292 3869337600 3966071040 4011213312 4060734464 4178347200 4282805880 4406745600 4456903680 4512614976 4568326272 4700640600 4758673200 4759285248 4818156615 4952115200 4957588800 5014016640 5075918080 5139367056 5288094720 5348284416 5353507350 5571129600 5640768720 5710407840 5781787938 5804006400 5875660800 5949106560 6016819968 6091101696 6267520800 6344897600 6345713664 6424208820 6610118400 6685355520 6852489408 7050960900 7138009800 7428172800 7436383200 7521024960 7613877120 7709050584 7932142080 8022426624 8030261025 8121468928 8356694400 8565611760 8813491200 8913807360 9025229952 9136652544 9401281200 9517346400 9518570496 9636313230 9915177600 10028033280 10151836160 10278734112 10576189440 10707014700 11142259200 11281537440 11420815680 11563575876 11608012800 11898213120 12033639936 12182203392 12535041600 12689795200 12848417640 13220236800 13370711040 13704978816 14101921800 14276019600 14454469845 14856345600 14872766400 15042049920 15227754240 15418101168 15864284160 16044853248 16060522050 16713388800 17131223520 17626982400 18050459904 18273305088 18802562400 19034692800 19037140992 19272626460 19830355200 20056066560 20303672320 20557468224 21414029400 22284518400 22563074880 22841631360 23127151752 23796426240 24067279872 24090783075 24364406784 25070083200 25379590400 25696835280 26440473600 26741422080 27409957632 28203843600 28552039200 28908939690 29745532800 30084099840 30455508480 30836202336 31728568320 32121044100 33426777600 34262447040 36100919808 36546610176 37605124800 38069385600 38545252920 39660710400 40112133120 40607344640 41114936448 42828058800 44569036800 45126149760 45683262720 46254303504 47592852480 48134559744 48181566150 50140166400 50759180800 51393670560 52880947200 54819915264 56407687200 57104078400 57817879380 59491065600 60168199680 60911016960 61672404672 64242088200 66853555200 68524894080 72201839616 72272349225 73093220352 75210249600 76138771200 77090505840 79321420800 80224266240 82229872896 85656117600 90252299520 91366525440 92508607008 95185704960 96363132300 100280332800 101518361600 102787341120 109639830528 112815374400 114208156800 115635758760 118982131200 120336399360 121822033920 123344809344 128484176400 133707110400 137049788160 144403679232 144544698450 150420499200 152277542400 154181011680 158642841600 164459745792 171312235200 180504599040 182733050880 185017214016 192726264600 200560665600 203036723200 205574682240 219279661056 225630748800 228416313600 231271517520 237964262400 240672798720 246689618688 256968352800 274099576320 289089396900 300840998400 304555084800 308362023360 328919491584 342624470400 361009198080 365466101760 370034428032 385452529200 401121331200 411149364480 451261497600 456832627200 462543035040 475928524800 493379237376 513936705600 548199152640 578178793800 601681996800 609110169600 616724046720 657838983168 685248940800 722018396160 740068856064 770905058400 822298728960 902522995200 913665254400 925086070080 986758474752 1027873411200 1096398305280 1156357587600 1203363993600 1233448093440 1370497881600 1480137712128 1541810116800 1644597457920 1805045990400 1827330508800 1850172140160 1973516949504 2055746822400 2312715175200 2466896186880 2740995763200 2960275424256 3083620233600 3289194915840 3610091980800 3700344280320 4111493644800 4625430350400 4933792373760 5481991526400 5920550848512 6167240467200 7400688560640 8222987289600 9250860700800 9867584747520 12334480934400 14801377121280 16445974579200 18501721401600 24668961868800 29602754242560 37003442803200 49337923737600 74006885606400 148013771212800
• Sum of all divisors σ(n): 565463414216610
• Sum of proper divisors (its aliquot sum) s(n): 417449643003810
• 148013771212800 is an abundant number, because the sum of its proper divisors (417449643003810) is greater than itself. Its abundance is 269435871791010

Bases of 148013771212800

• Binary: 100001101001111000100100010000010100100000000000₂
• Hexadecimal: 0x869E24414800
• Base-36: 1GGSL5S000

Squares and roots of 148013771212800

• 148013771212800 squared (148013771212800²) is 21908076468635101982883840000
• 148013771212800 cubed (148013771212800³) is 3242697018141083339981764315318321152000000
• The square root of 148013771212800 is 12166091.0407903819
• The cube root of 148013771212800 is 52897.3653028185

Scales and comparisons

• 148,013,771,212,800 seconds is equal to 4,706,380 years, 4 weeks, 4 days.
• To count from 1 to 148,013,771,212,800 would take you about eleven million, seven hundred sixty-five thousand, nine hundred fifty 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 148013771212800 cubic inches would be around 4408.1 feet tall.

Recreational maths with 148013771212800

• 148013771212800 backwards is 008212177310841
• 148013771212800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 148013771212800's digits is 45
• More coming soon!