13084918448400
13,084,918,448,400 is an even composite number composed of seven prime numbers multiplied together.
13084918448400 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 13084918448400:
24 × 33 × 52 × 17 × 41 × 89 × 19531
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 41 × 89 × 19531)See below for interesting mathematical facts about the number 13084918448400 from the Numbermatics database.
Names of 13084918448400
- Cardinal: 13084918448400 can be written as Thirteen trillion, eighty-four billion, nine hundred eighteen million, four hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.30849184484 × 1013
Factors of 13084918448400
Divisors of 13084918448400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 34 36 40 41 45 48 50 51 54 60 68 72 75 80 82 85 89 90 100 102 108 120 123 135 136 144 150 153 164 170 178 180 200 204 205 216 225 240 246 255 267 270 272 300 306 328 340 356 360 369 400 408 410 425 432 445 450 459 492 510 534 540 600 612 615 656 675 680 697 712 720 738 765 801 816 820 850 890 900 918 984 1020 1025 1068 1080 1107 1200 1224 1230 1275 1335 1350 1360 1394 1424 1476 1513 1530 1602 1640 1700 1780 1800 1836 1845 1968 2040 2050 2091 2136 2160 2214 2225 2295 2403 2448 2460 2550 2670 2700 2788 2952 3026 3060 3075 3204 3280 3400 3485 3560 3600 3649 3672 3690 3825 4005 4080 4100 4182 4272 4428 4450 4539 4590 4806 4920 5100 5340 5400 5535 5576 5904 6052 6120 6150 6273 6408 6675 6800 6970 7120 7298 7344 7380 7565 7650 8010 8200 8364 8856 8900 9078 9180 9225 9612 9840 10200 10455 10680 10800 10947 11070 11152 11475 12015 12104 12240 12300 12546 12816 13350 13617 13940 14596 14760 15130 15300 16020 16400 16728 17425 17712 17800 18156 18245 18360 18450 18819 19224 19531 20025 20400 20910 21360 21894 22140 22695 22950 24030 24208 24600 25092 26700 27234 27675 27880 29192 29520 30260 30600 31365 32040 32841 33456 34850 35600 36312 36490 36720 36900 37638 37825 38448 39062 40050 40851 41820 43788 44280 45390 45900 48060 49200 50184 52275 53400 54468 54735 55350 55760 58384 58593 60075 60520 61200 62033 62730 64080 65682 68085 69700 72624 72980 73800 75276 75650 78124 80100 81702 83640 87576 88560 90780 91225 91800 94095 96120 97655 98523 100368 104550 106800 108936 109470 110700 113475 117186 120150 121040 124066 125460 131364 136170 139400 145960 147600 150552 151300 156248 156825 160200 163404 164205 167280 175152 175779 181560 182450 183600 186099 188190 192240 195310 197046 204255 209100 217872 218940 221400 226950 234372 240300 248132 250920 262728 272340 273675 278800 291920 292965 301104 302600 310165 312496 313650 320400 326808 328410 332027 340425 351558 363120 364900 372198 376380 390620 394092 408510 418200 437880 442800 453900 468744 470475 480600 488275 492615 496264 501840 525456 527337 544680 547350 558297 585930 605200 620330 627300 653616 656820 664054 680850 703116 729800 744396 752760 781240 788184 800771 817020 821025 836400 875760 878895 907800 930495 937488 940950 961200 976550 985230 992528 996081 1021275 1054674 1089360 1094700 1116594 1171860 1240660 1254600 1313640 1328108 1361700 1406232 1459600 1464825 1488792 1505520 1550825 1562480 1576368 1601542 1634040 1642050 1660135 1674891 1738259 1757790 1815600 1860990 1881900 1953100 1970460 1992162 2042550 2109348 2189400 2233188 2343720 2402313 2463075 2481320 2509200 2627280 2636685 2656216 2723400 2791485 2812464 2929650 2977584 2988243 3101650 3203084 3268080 3284100 3320270 3349782 3476518 3515580 3721980 3763800 3906200 3940920 3984324 4003855 4085100 4218696 4378800 4394475 4466376 4652475 4687440 4804626 4926150 4962640 4980405 5214777 5273370 5312432 5446800 5582970 5859300 5976486 6203300 6406168 6568200 6640540 6699564 6953036 7031160 7206939 7443960 7527600 7812400 7881840 7968648 8007710 8170200 8300675 8374455 8437392 8691295 8788950 8932752 8964729 9304950 9609252 9852300 9960810 10429554 10546740 11165940 11718600 11952972 12011565 12406600 12812336 13136400 13183425 13281080 13399128 13613107 13906072 13957425 14062320 14413878 14887920 14941215 15644331 15937296 16015420 16340400 16601350 16748910 17382590 17577900 17929458 18609900 19218504 19704600 19921620 20019275 20859108 21093480 21620817 22331880 23437200 23905944 24023130 24813200 24902025 26073885 26366850 26562160 26798256 27226214 27812144 27914850 28827756 29550403 29882430 31288662 32030840 33202700 33497820 34765180 35155800 35858916 36034695 37219800 38437008 39409200 39843240 40038550 40839321 41718216 41872275 42186960 43241634 43456475 44663760 44823645 46932993 47811888 48046260 49804050 52147770 52733700 54452428 55829700 57655512 59100806 59764860 60057825 62577324 64061680 66405400 66995640 68065535 69530360 70311600 71268619 71717832 72069390 74439600 74706075 78221655 79686480 80077100 81678642 83436432 83744550 86483268 86912950 88651209 89647290 93865986 96092520 99608100 104295540 105467400 108104085 108904856 111659400 115311024 118201612 119529720 120115650 122517963 125154648 130369425 132810800 133991280 136131070 139060720 142537238 143435664 144138780 147752015 149412150 156443310 160154200 163357284 167489100 172966536 173825900 177302418 179294580 180173475 187731972 192185040 199216200 204196605 208591080 210934800 213805857 216208170 217809712 223318800 224118225 234664965 236403224 239059440 240231300 245035926 250309296 260738850 265953627 272262140 285074476 288277560 295504030 298824300 312886620 320308400 326714568 334978200 340327675 345933072 347651800 354604836 356343095 358589160 360346950 367553889 375463944 391108275 398432400 408393210 417182160 427611714 432416340 443256045 448236450 469329930 472806448 480462600 490071852 521477700 531907254 540520425 544524280 570148952 576555120 591008060 597648600 612589815 625773240 641417571 653429136 669956400 680655350 695303600 709209672 712686190 717178320 720693900 735107778 738760075 750927888 782216550 797860881 816786420 855223428 864832680 886512090 896472900 938659860 960925200 980143704 1020983025 1042955400 1063814508 1069029285 1081040850 1089048560 1140297904 1173324825 1182016120 1195297200 1211566523 1225179630 1251546480 1282835142 1329768135 1361310700 1418419344 1425372380 1441387800 1470215556 1477520150 1564433100 1595721762 1633572840 1710446856 1729665360 1773024180 1781715475 1792945800 1837769445 1877319720 1924252713 1960287408 2041966050 2085910800 2127629016 2138058570 2162081700 2216280225 2346649650 2364032240 2423133046 2450359260 2565670284 2659536270 2722621400 2850744760 2882775600 2940431112 2955040300 3062949075 3128866200 3191443524 3207087855 3267145680 3420893712 3546048360 3563430950 3585891600 3634699569 3675538890 3754639440 3848505426 3989304405 4083932100 4255258032 4276117140 4324163400 4432560450 4693299300 4846266092 4900718520 5131340568 5319072540 5345146425 5445242800 5701489520 5880862224 5910080600 6057832615 6125898150 6257732400 6382887048 6414175710 6648840675 7092096720 7126861900 7269399138 7351077780 7697010852 7978608810 8167864200 8552234280 8648326800 8865120900 9188847225 9386598600 9621263565 9692532184 9801437040 10262681136 10638145080 10690292850 10904098707 11820161200 12115665230 12251796300 12765774096 12828351420 13297681350 14253723800 14538798276 14702155560 15394021704 15957217620 16035439275 16335728400 17104468560 17730241800 18173497845 18377694450 18773197200 19242527130 19385064368 19946522025 21276290160 21380585700 21808197414 24231330460 24503592600 25656702840 26595362700 28507447600 29077596552 29404311120 30289163075 30788043408 31914435240 32070878550 32712296121 35460483600 36346995690 36755388900 38485054260 39893044050 42761171400 43616394828 48106317825 48462660920 49007185200 51313405680 53190725400 54520493535 58155193104 60578326150 63828870480 64141757100 65424592242 72693991380 73510777800 76970108520 79786088100 85522342800 87232789656 90867489225 96212635650 96925321840 106381450800 109040987070 121156652300 128283514200 130849184484 145387982760 147021555600 153940217040 159572176200 163561480605 174465579312 181734978450 192425271300 218081974140 242313304600 256567028400 261698368968 272602467675 290775965520 319144352400 327122961210 363469956900 384850542600 436163948280 484626609200 523396737936 545204935350 654245922420 726939913800 769701085200 817807403025 872327896560 1090409870700 1308491844840 1453879827600 1635614806050 2180819741400 2616983689680 3271229612100 4361639482800 6542459224200 13084918448400
- Sum of all divisors σ(n): 51085117843200
- Sum of proper divisors (its aliquot sum) s(n): 38000199394800
- 13084918448400 is an abundant number, because the sum of its proper divisors (38000199394800) is greater than itself. Its abundance is 24915280946400
Bases of 13084918448400
- Binary: 101111100110100100011110101010000001000100002
- Hexadecimal: 0xBE691EA8110
- Base-36: 4MZ4MLNO0
Squares and roots of 13084918448400
- 13084918448400 squared (130849184484002) is 171215090801278663462560000
- 13084918448400 cubed (130849184484003) is 2240335500270132321850546366691904000000
-
The
square root of 13084918448400 is 3617308.1771394595 -
The
cube root of 13084918448400 is 23564.4336720537
Scales and comparisons
How big is 13084918448400?- 13,084,918,448,400 seconds is equal to 416,059 years, 48 weeks, 3 days, 9 hours.
-
To count from 1 to 13,084,918,448,400 would take you about one million, forty thousand, one hundred forty-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 13084918448400 cubic inches would be around 1963.7 feet tall.
Recreational maths with 13084918448400
- 13084918448400 backwards is 00484481948031
- 13084918448400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13084918448400's digits is 54
- More coming soon!
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The information we have on file for 13084918448400 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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