13964120248888320
13,964,120,248,888,320 is an even composite number composed of six prime numbers multiplied together.
13964120248888320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred forty-eight divisors.
Prime factorization of 13964120248888320:
210 × 3 × 5 × 76 × 37 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 37 × 457 × 457)See below for interesting mathematical facts about the number 13964120248888320 from the Numbermatics database.
Names of 13964120248888320
- Cardinal: 13964120248888320 can be written as Thirteen quadrillion, nine hundred sixty-four trillion, one hundred twenty billion, two hundred forty-eight million, eight hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.396412024888832 × 1016
Factors of 13964120248888320
Divisors of 13964120248888320
- Number of divisors d(n): 1848
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 42 48 49 56 60 64 70 74 80 84 96 98 105 111 112 120 128 140 147 148 160 168 185 192 196 210 222 224 240 245 256 259 280 294 296 320 336 343 370 384 392 420 444 448 457 480 490 512 518 555 560 588 592 640 672 686 735 740 768 777 784 840 888 896 914 960 980 1024 1029 1036 1110 1120 1176 1184 1280 1295 1344 1371 1372 1470 1480 1536 1554 1568 1680 1715 1776 1792 1813 1828 1920 1960 2058 2072 2220 2240 2285 2352 2368 2401 2560 2590 2688 2742 2744 2940 2960 3072 3108 3136 3199 3360 3430 3552 3584 3626 3656 3840 3885 3920 4116 4144 4440 4480 4570 4704 4736 4802 5120 5145 5180 5376 5439 5484 5488 5880 5920 6216 6272 6398 6720 6855 6860 7104 7168 7203 7252 7312 7680 7770 7840 8232 8288 8880 8960 9065 9140 9408 9472 9597 9604 10290 10360 10752 10878 10968 10976 11760 11840 12005 12432 12544 12691 12796 13440 13710 13720 14208 14406 14504 14624 15360 15540 15680 15995 16464 16576 16807 16909 17760 17920 18130 18280 18816 18944 19194 19208 20580 20720 21504 21756 21936 21952 22393 23520 23680 24010 24864 25088 25382 25592 26880 27195 27420 27440 28416 28812 29008 29248 31080 31360 31990 32928 33152 33614 33818 35520 35840 36015 36260 36560 37632 37888 38073 38388 38416 41160 41440 43512 43872 43904 44786 47040 47360 47985 48020 49728 50176 50421 50727 50764 51184 53760 54390 54840 54880 56832 57624 58016 58496 62160 62720 63455 63980 65856 66304 67179 67228 67636 71040 72030 72520 73120 75264 76146 76776 76832 82320 82880 84035 84545 87024 87744 87808 88837 89572 94080 94720 95970 96040 99456 100842 101454 101528 102368 107520 108780 109680 109760 111965 113664 115248 116032 116992 117649 118363 124320 125440 126910 127960 131712 132608 134358 134456 135272 142080 144060 145040 146240 150528 152292 153552 153664 156751 164640 165760 168070 169090 174048 175488 175616 177674 179144 188160 189440 190365 191940 192080 198912 201684 202908 203056 204736 208849 217560 219360 219520 223930 230496 232064 233984 235298 236726 248640 250880 252105 253635 253820 255920 263424 265216 266511 268716 268912 270544 284160 288120 290080 292480 304584 307104 307328 313502 329280 331520 335895 336140 338180 348096 350976 351232 352947 355089 355348 358288 376320 380730 383880 384160 397824 403368 405816 406112 409472 417698 435120 438720 439040 444185 447860 460992 464128 467968 470253 470596 473452 497280 504210 507270 507640 511840 526848 533022 537432 537824 541088 568320 576240 580160 584960 588245 591815 609168 614208 614656 621859 626547 627004 658560 663040 671790 672280 676360 696192 701952 705894 710178 710696 716576 752640 761460 767760 768320 783755 795648 806736 811632 812224 818944 828541 835396 870240 877440 878080 888370 895720 921984 928256 940506 941192 946904 994560 1008420 1014540 1015280 1023680 1044245 1053696 1066044 1074864 1075648 1082176 1097257 1152480 1160320 1169920 1176490 1183630 1218336 1228416 1229312 1243718 1253094 1254008 1317120 1326080 1332555 1343580 1344560 1352720 1392384 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31829231056 32092572736 33431139840 34102747560 34384899360 34409979520 34618810240 35101251430 36349750752 36376264064 36677225984 37107037226 38974568640 39297027840 39325690880 39564354560 39757539885 39786538820 40115715920 41291975424 41542572288 41572873216 42121501716 42408042544 44542364160 45437188440 45470330080 45846532480 47743846584 48138859104 48466334336 49141752002 51614969280 51928215360 51966091520 52396037120 52651877145 53010053180 54564396096 55015838976 55055967232 55390096384 55660555839 56162002288 58988536320 59346531840 59679808230 60173573880 60582917920 62359309824 63612063816 63658462112 64185145472 66862279680 68205495120 68769798720 68819959040 69237620480 70202502860 72699501504 72752528128 73354451968 73712628003 74214074452 77949137280 78594055680 79515079770 79573077640 80231431840 82583950848 83085144576 84243003432 84816085088 89084728320 90874376880 90940660160 91693064960 92767593065 95487693168 96277718208 96932668672 98283504004 103229938560 103856430720 103932183040 105303754290 106020106360 109128792192 110031677952 111321111678 112324004576 117977072640 118693063680 119359616460 120347147760 121165835840 122854380005 124718619648 127224127632 127316924224 128370290944 129874630291 136410990240 137539597440 137639918080 138475240960 140405005720 145399003008 145505056256 147425256006 148428148904 155898274560 157188111360 159030159540 159146155280 160462863680 165167901696 166170289152 168486006864 169632170176 181748753760 181881320320 183386129920 185535186130 190975386336 192555436416 193865337344 196567008008 206459877120 207712861440 207864366080 210607508580 212040212720 218257584384 220063355904 222642223356 224648009152 238719232920 240694295520 242331671680 245708760010 254448255264 254633848448 256740581888 259749260582 272821980480 275079194880 275279836160 276950481920 278302779195 280810011440 290798006016 291010112512 294850512012 296856297808 311796549120 318060319080 318292310560 320925727360 336972013728 339264340352 363497507520 363762640640 366772259840 368563140015 371070372260 381950772672 385110872832 387730674688 389623890873 393134016016 412919754240 415425722880 421215017160 424080425440 436515168768 445284446712 449296018304 477438465840 481388591040 484663343360 491417520020 508896510528 509267696896 513481163776 519498521164 545643960960 550158389760 556605558390 561620022880 581596012032 589701024024 593712595616 623593098240 636120638160 636584621120 641851454720 649373151455 673944027456 678528680704 726995015040 727525281280 737126280030 742140744520 763901545344 770221745664 779247781746 786268032032 825839508480 830851445760 842430034320 848160850880 873030337536 890568893424 898592036608 909122412037 954876931680 962777182080 969326686720 982835040040 1017793021056 1018535393792 1038997042328 1091287921920 1100316779520 1113211116780 1123240045760 1163192024064 1179402048048 1187425191232 1272241276320 1273169242240 1283702909440 1298746302910 1347888054912 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7272979296296 7639015453440 7702217456640 7792477817460 7862680320320 8142344168448 8311976338624 8905688934240 8985920366080 9091224120370 9435216384384 9499401529856 10177930210560 10185353937920 10389970423280 10783104439296 10909468944444 11794020480480 11874251912320 12467964507936 12580288512512 13478880549120 13570573614080 13636836180555 14249102294784 14545958592592 15278030906880 15584955634920 15725360640640 16623952677248 17811377868480 17971840732160 18182448240740 18870432768768 18998803059712 20355860421120 20779940846560 21818937888888 23588040960960 23748503824640 24935929015872 25160577025024 26957761098240 27273672361110 28498204589568 29091917185184 30556061813760 31169911269840 31450721281280 33247905354496 35622755736960 36364896481480 37740865537536 40711720842240 41559881693120 43637875777776 47176081921920 47497007649280 49871858031744 53915522196480 54547344722220 56996409179136 58183834370368 62339822539680 62901442562560 66495810708992 71245511473920 72729792962960 75481731075072 83119763386240 87275751555552 94352163843840 94994015298560 99743716063488 109094689444440 116367668740736 124679645079360 125802885125120 132991621417984 142491022947840 145459585925920 166239526772480 174551503111104 188704327687680 199487432126976 218189378888880 232735337481472 249359290158720 284982045895680 290919171851840 332479053544960 349103006222208 377408655375360 398974864253952 436378757777760 465470674962944 498718580317440 581838343703680 664958107089920 698206012444416 872757515555520 930941349925888 997437160634880 1163676687407360 1396412024888832 1745515031111040 1994874321269760 2327353374814720 2792824049777664 3491030062222080 4654706749629440 6982060124444160 13964120248888320
- Sum of all divisors σ(n): 53632857504710736
- Sum of proper divisors (its aliquot sum) s(n): 39668737255822416
- 13964120248888320 is an abundant number, because the sum of its proper divisors (39668737255822416) is greater than itself. Its abundance is 25704617006934096
Bases of 13964120248888320
- Binary: 1100011001110001001011000110110000100100101100000000002
- Hexadecimal: 0x319C4B1B092C00
- Base-36: 3THV8A5ACQO
Squares and roots of 13964120248888320
- 13964120248888320 squared (139641202488883202) is 194996654325412796102195832422400
- 13964120248888320 cubed (139641202488883203) is 2722956729130973034979318995824353330612666368000
-
The
square root of 13964120248888320 is 118169878.7715732575 -
The
cube root of 13964120248888320 is 240808.1566935963
Scales and comparisons
How big is 13964120248888320?- 13,964,120,248,888,320 seconds is equal to 444,015,830 years, 2 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 13,964,120,248,888,320 would take you about one billion, three hundred thirty-two million, forty-seven thousand, four hundred 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 13964120248888320 cubic inches would be around 20067.3 feet tall.
Recreational maths with 13964120248888320
- 13964120248888320 backwards is 02388884202146931
- The number of decimal digits it has is: 17
- The sum of 13964120248888320's digits is 69
- More coming soon!
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"Number 13964120248888320 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13964120248888320 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13964120248888320/
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The information we have on file for 13964120248888320 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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