13655010913010438400
13,655,010,913,010,438,400 is an even composite number composed of six prime numbers multiplied together.
13655010913010438400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-seven divisors.
Prime factorization of 13655010913010438400:
28 × 32 × 52 × 112 × 132 × 1076712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 13 × 107671 × 107671)See below for interesting mathematical facts about the number 13655010913010438400 from the Numbermatics database.
Names of 13655010913010438400
- Cardinal: 13655010913010438400 can be written as Thirteen quintillion, six hundred fifty-five quadrillion, ten trillion, nine hundred thirteen billion, ten million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.36550109130104384 × 1019
Factors of 13655010913010438400
Divisors of 13655010913010438400
- Number of divisors d(n): 2187
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 110 117 120 121 128 130 132 143 144 150 156 160 165 169 176 180 192 195 198 200 208 220 225 234 240 242 256 260 264 275 286 288 300 312 320 325 330 338 352 360 363 384 390 396 400 416 429 440 450 468 480 484 495 507 520 528 550 572 576 585 600 605 624 640 650 660 676 704 715 720 726 768 780 792 800 825 832 845 858 880 900 936 960 968 975 990 1014 1040 1056 1089 1100 1144 1152 1170 1200 1210 1248 1280 1287 1300 1320 1352 1408 1430 1440 1452 1521 1560 1573 1584 1600 1650 1664 1690 1716 1760 1800 1815 1859 1872 1920 1936 1950 1980 2028 2080 2112 2145 2178 2200 2288 2304 2340 2400 2420 2475 2496 2535 2574 2600 2640 2704 2816 2860 2880 2904 2925 3025 3042 3120 3146 3168 3200 3300 3328 3380 3432 3520 3575 3600 3630 3718 3744 3840 3872 3900 3960 4056 4160 4224 4225 4290 4356 4400 4576 4680 4719 4800 4840 4950 4992 5070 5148 5200 5280 5408 5445 5577 5720 5760 5808 5850 6050 6084 6240 6292 6336 6400 6435 6600 6760 6864 7040 7150 7200 7260 7436 7488 7605 7744 7800 7865 7920 8112 8320 8448 8450 8580 8712 8800 9075 9152 9295 9360 9438 9600 9680 9900 9984 10140 10296 10400 10560 10725 10816 10890 11154 11440 11520 11616 11700 12100 12168 12480 12584 12672 12675 12870 13200 13520 13728 14080 14157 14300 14400 14520 14872 14976 15210 15488 15600 15730 15840 16224 16640 16731 16900 17160 17424 17600 18150 18304 18590 18720 18876 19200 19360 19800 20280 20449 20592 20800 21120 21450 21632 21780 22308 22880 23232 23400 23595 24200 24336 24960 25168 25344 25350 25740 26400 27040 27225 27456 27885 28314 28600 28800 29040 29744 29952 30420 30976 31200 31460 31680 32175 32448 33462 33800 34320 34848 35200 36300 36608 37180 37440 37752 38025 38720 39325 39600 40560 40898 41184 41600 42240 42900 43264 43560 44616 45760 46464 46475 46800 47190 48400 48672 49920 50336 50700 51480 52800 54080 54450 54912 55770 56628 57200 57600 58080 59488 60840 61347 62400 62920 63360 64350 64896 66924 67600 68640 69696 70400 70785 72600 74360 74880 75504 76050 77440 78650 79200 81120 81796 82368 83200 83655 85800 87120 89232 91520 92928 92950 93600 94380 96800 97344 100672 101400 102245 102960 105600 107671 108160 108900 109824 111540 113256 114400 116160 117975 118976 121680 122694 124800 125840 126720 128700 129792 133848 135200 137280 139392 139425 141570 145200 148720 149760 151008 152100 154880 157300 158400 162240 163592 164736 167310 171600 174240 178464 183040 184041 185900 187200 188760 193600 194688 201344 202800 204490 205920 211200 215342 216320 217800 223080 226512 228800 232320 235950 237952 243360 245388 249600 251680 257400 267696 270400 274560 278784 278850 283140 290400 297440 302016 304200 306735 314600 316800 323013 324480 327184 329472 334620 343200 348480 353925 356928 368082 371800 374400 377520 387200 389376 402688 405600 408980 411840 418275 430684 435600 446160 453024 457600 464640 471900 475904 486720 490776 503360 511225 514800 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969816115980855 994683195877800 1009986014275920 1034470523712912 1060995408936320 1077318415227648 1077573462200950 1085108940957600 1094151515465580 1122206682528800 1128513298595904 1167094949829952 1175534686037400 1185330808421045 1193619835053360 1224225471849600 1253903665106560 1262482517844900 1273194490723584 1293088154641140 1312981818558696 1326244261170400 1346648019034560 1367689394331975 1379294031617216 1410641623244880 1422396970105254 1446811921276800 1458868687287440 1469070566219520 1492024793816700 1504684398127872 1551705785569368 1567379581383200 1591493113404480 1615977622841472 1616360193301425 1641227273198370 1683310023793200 1724117539521520 1736174305532160 1750642424744928 1763302029056100 1795530692046080 1823585859109300 1836338207774400 1880855497659840 1896529293473672 1909791736085376 1939632231961710 1989366391755600 2019972028551840 2068941047425824 2121990817872640 2133595455157881 2155146924401900 2170217881915200 2188303030931160 2244413365057600 2257026597191808 2334189899659904 2351069372074800 2370661616842090 2387239670106720 2448450943699200 2507807330213120 2524965035689800 2586176309282280 2625963637117392 2652488522340800 2693296038069120 2735378788663950 2758588063234432 2821283246489760 2844793940210508 2893623842553600 2917737374574880 2984049587633400 3103411571138736 3134759162766400 3182986226808960 3231955245682944 3232720386602850 3282454546396740 3366620047586400 3448235079043040 3501284849489856 3526604058112200 3555992425263135 3647171718218600 3672676415548800 3761710995319680 3793058586947344 3819583472170752 3879264463923420 3978732783511200 4039944057103680 4103068182995925 4137882094851648 4267190910315762 4310293848803800 4340435763830400 4376606061862320 4488826730115200 4514053194383616 4668379799319808 4702138744149600 4741323233684180 4774479340213440 4849080579904275 5049930071379600 5172352618564560 5251927274234784 5304977044681600 5386592076138240 5470757577327900 5517176126468864 5642566492979520 5689587880421016 5835474749149760 5926654042105225 5968099175266800 6206823142277472 6269518325532800 6365972453617920 6465440773205700 6564909092793480 6733240095172800 6896470158086080 7002569698979712 7053208116224400 7111984850526270 7294343436437200 7345352831097600 7523421990639360 7586117173894688 7758528927846840 7957465567022400 8079888114207360 8206136365991850 8275764189703296 8534381820631524 8620587697607600 8680871527660800 8753212123724640 8977653460230400 9404277488299200 9482646467368360 9548958680426880 9698161159808550 10099860142759200 10344705237129120 10503854548469568 10609954089363200 10667977275789405 10941515154655800 11285132985959040 11379175760842032 11670949498299520 11853308084210450 11936198350533600 12413646284554944 12539036651065600 12930881546411400 13129818185586960 13466480190345600 13792940316172160 14005139397959424 14106416232448800 14223969701052540 14588686872874400 15172234347789376 15517057855693680 15914931134044800 16159776228414720 16412272731983700 16551528379406592 17068763641263048 17241175395215200 17506424247449280 17779962126315675 18808554976598400 18965292934736720 19097917360853760 19396322319617100 20199720285518400 20689410474258240 21007709096939136 21335954551578810 21883030309311600 22570265971918080 22758351521684064 23341898996599040 23706616168420900 23872396701067200 24827292569109888 25861763092822800 26259636371173920 26932960380691200 27585880632344320 28212832464897600 28447939402105080 29177373745748800 30344468695578752 31034115711387360 31829862268089600 32824545463967400 34137527282526096 34482350790430400 35012848494898560 35559924252631350 37617109953196800 37930585869473440 38792644639234200 40399440571036800 41378820948516480 42015418193878272 42671909103157620 43766060618623200 45516703043368128 47413232336841800 47744793402134400 49654585138219776 51723526185645600 52519272742347840 53339886378947025 56425664929795200 56895878804210160 58354747491497600 60688937391157504 62068231422774720 65649090927934800 68275054565052192 68964701580860800 70025696989797120 71119848505262700 75861171738946880 77585289278468400 80798881142073600 82757641897032960 85343818206315240 87532121237246400 91033406086736256 94826464673683600 95489586804268800 103447052371291200 105038545484695680 106679772757894050 112851329859590400 113791757608420320 116709494982995200 124136462845549440 131298181855869600 136550109130104384 137929403161721600 142239697010525400 151722343477893760 155170578556936800 170687636412630480 175064242474492800 182066812173472512 189652929347367200 206894104742582400 210077090969391360 213359545515788100 227583515216840640 248272925691098880 262596363711739200 273100218260208768 284479394021050800 303444686955787520 310341157113873600 341375272825260960 350128484948985600 379305858694734400 413788209485164800 426719091031576200 455167030433681280 525192727423478400 546200436520417536 568958788042101600 620682314227747200 682750545650521920 758611717389468800 853438182063152400 910334060867362560 1050385454846956800 1137917576084203200 1241364628455494400 1365501091301043840 1517223434778937600 1706876364126304800 2275835152168406400 2731002182602087680 3413752728252609600 4551670304336812800 6827505456505219200 13655010913010438400
- Sum of all divisors σ(n): 58107234125028938031
- Sum of proper divisors (its aliquot sum) s(n): 44452223212018499631
- 13655010913010438400 is an abundant number, because the sum of its proper divisors (44452223212018499631) is greater than itself. Its abundance is 30797212299008061231
Bases of 13655010913010438400
- Binary: 10111101100000000101100000010011111110100001000111010001000000002
- Hexadecimal: 0xBD805813FA11D100
- Base-36: 2VQSPDXBSGN40
Squares and roots of 13655010913010438400
- 13655010913010438400 squared (136550109130104384002) is 186459323034434166500828627360194560000
- 13655010913010438400 cubed (136550109130104384003) is 2546104090867737155346436567749869348147069934895104000000
-
13655010913010438400 is a
perfect square number . Itssquare root is 3695268720 -
The
cube root of 13655010913010438400 is 2390180.4169872721
Scales and comparisons
How big is 13655010913010438400?- 13,655,010,913,010,438,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,655,010,913,010,438,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13655010913010438400 cubic inches would be around 199181.7 feet tall.
Recreational maths with 13655010913010438400
- 13655010913010438400 backwards is 00483401031901055631
- The number of decimal digits it has is: 20
- The sum of 13655010913010438400's digits is 54
- More coming soon!
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"Number 13655010913010438400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 13655010913010438400 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13655010913010438400/
Chicago style:
Numbermatics. 2024. "Number 13655010913010438400 - Facts about the integer". https://numbermatics.com/n/13655010913010438400/
The information we have on file for 13655010913010438400 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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