13312450448760960
13,312,450,448,760,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 13312450448760960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
13312450448760960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13312450448760960:
27 × 35 × 5 × 7 × 2719 × 4497431
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 2719 × 4497431)See below for interesting mathematical facts about the number 13312450448760960 from the Numbermatics database.
Names of 13312450448760960
- Cardinal: 13312450448760960 can be written as Thirteen quadrillion, three hundred twelve trillion, four hundred fifty billion, four hundred forty-eight million, seven hundred sixty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.331245044876096 × 1016
Factors of 13312450448760960
Divisors of 13312450448760960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 81 84 90 96 105 108 112 120 126 128 135 140 144 160 162 168 180 189 192 210 216 224 240 243 252 270 280 288 315 320 324 336 360 378 384 405 420 432 448 480 486 504 540 560 567 576 630 640 648 672 720 756 810 840 864 896 945 960 972 1008 1080 1120 1134 1152 1215 1260 1296 1344 1440 1512 1620 1680 1701 1728 1890 1920 1944 2016 2160 2240 2268 2430 2520 2592 2688 2719 2835 2880 3024 3240 3360 3402 3456 3780 3888 4032 4320 4480 4536 4860 5040 5184 5438 5670 5760 6048 6480 6720 6804 7560 7776 8064 8157 8505 8640 9072 9720 10080 10368 10876 11340 12096 12960 13440 13595 13608 15120 15552 16314 17010 17280 18144 19033 19440 20160 21752 22680 24192 24471 25920 27190 27216 30240 31104 32628 34020 36288 38066 38880 40320 40785 43504 45360 48942 51840 54380 54432 57099 60480 65256 68040 72576 73413 76132 77760 81570 87008 90720 95165 97884 108760 108864 114198 120960 122355 130512 136080 146826 152264 155520 163140 171297 174016 181440 190330 195768 217520 217728 220239 228396 244710 261024 272160 285495 293652 304528 326280 342594 348032 362880 367065 380660 391536 435040 440478 456792 489420 513891 522048 544320 570990 587304 609056 652560 660717 685188 734130 761320 783072 856485 870080 880956 913584 978840 1027782 1044096 1088640 1101195 1141980 1174608 1218112 1305120 1321434 1370376 1468260 1522640 1541673 1566144 1712970 1740160 1761912 1827168 1957680 2055564 2202390 2283960 2349216 2436224 2569455 2610240 2642868 2740752 2936520 3045280 3083346 3132288 3303585 3425940 3523824 3654336 3915360 4111128 4404780 4497431 4567920 4625019 4698432 5138910 5220480 5285736 5481504 5873040 6090560 6166692 6607170 6851880 7047648 7308672 7708365 7830720 8222256 8809560 8994862 9135840 9250038 9396864 10277820 10571472 10963008 11746080 12181120 12333384 13214340 13492293 13703760 14095296 15416730 15661440 16444512 17619120 17989724 18271680 18500076 20555640 21142944 21926016 22487155 23125095 23492160 24666768 26428680 26984586 27407520 28190592 30833460 31482017 32889024 35238240 35979448 36543360 37000152 40476879 41111280 42285888 44974310 46250190 46984320 49333536 52857360 53969172 54815040 61666920 62964034 65778048 67461465 70476480 71958896 74000304 80953758 82222560 84571776 89948620 92500380 94446051 98667072 105714720 107938344 109630080 121430637 123333840 125928068 134922930 140952960 143917792 148000608 157410085 161907516 164445120 179897240 185000760 188892102 197334144 202384395 211429440 215876688 242861274 246667680 251856136 269845860 283338153 287835584 296001216 314820170 323815032 328890240 359794480 364291911 370001520 377784204 404768790 422858880 431753376 472230255 485722548 493335360 503712272 539691720 566676306 575671168 592002432 607153185 629640340 647630064 719588960 728583822 740003040 755568408 809537580 850014459 863506752 944460510 971445096 986670720 1007424544 1079383440 1092875733 1133352612 1214306370 1259280680 1295260128 1416690765 1439177920 1457167644 1480006080 1511136816 1619075160 1700028918 1727013504 1821459555 1888921020 1942890192 2014849088 2158766880 2185751466 2266705224 2428612740 2518561360 2550043377 2590520256 2833381530 2878355840 2914335288 2960012160 3022273632 3238150320 3400057836 3642919110 3777842040 3885780384 4029698176 4250072295 4317533760 4371502932 4533410448 4857225480 5037122720 5100086754 5181040512 5464378665 5666763060 5828670576 6044547264 6476300640 6800115672 7285838220 7555684080 7650130131 7771560768 8500144590 8635067520 8743005864 9066820896 9714450960 10074245440 10200173508 10928757330 11333526120 11657341152 12089094528 12228514889 12750216885 12952601280 13600231344 14571676440 15111368160 15300260262 15543121536 17000289180 17486011728 18133641792 19428901920 20148490880 20400347016 21857514660 22667052240 23314682304 24457029778 25500433770 25905202560 27200462688 29143352880 30222736320 30600520524 34000578360 34972023456 36267283584 36685544667 38250650655 38857803840 40800694032 43715029320 45334104480 46629364608 48914059556 51000867540 54400925376 58286705760 60445472640 61142574445 61201041048 68001156720 69944046912 73371089334 76501301310 77715607680 81601388064 85599604223 87430058640 90668208960 97828119112 102001735080 108801850752 110056634001 116573411520 122285148890 122402082096 136002313440 139888093824 146742178668 153002602620 163202776128 171199208446 174860117280 181336417920 183427723335 195656238224 204003470160 220113268002 233146823040 244570297780 244804164192 256798812669 272004626880 293484357336 306005205240 326405552256 330169902003 342398416892 349720234560 366855446670 391312476448 408006940320 427998021115 440226536004 489140595560 489608328384 513597625338 544009253760 550283170005 586968714672 612010410480 660339804006 684796833784 699440469120 733710893340 770396438007 782624952896 816013880640 855996042230 880453072008 978281191120 979216656768 990509706009 1027195250676 1100566340010 1173937429344 1224020820960 1283994063345 1320679608012 1369593667568 1467421786680 1540792876014 1565249905792 1632027761280 1650849510015 1711992084460 1760906144016 1956562382240 1981019412018 2054390501352 2201132680020 2311189314021 2347874858688 2448041641920 2567988126690 2641359216024 2739187335136 2934843573360 2971529118027 3081585752028 3301699020030 3423984168920 3521812288032 3851982190035 3913124764480 3962038824036 4108781002704 4402265360040 4622378628042 4695749717376 4896083283840 4952548530045 5135976253380 5282718432048 5478374670272 5869687146720 5943058236054 6163171504056 6603398040060 6847968337840 6933567942063 7043624576064 7703964380070 7826249528960 7924077648072 8217562005408 8804530720080 9244757256084 9905097060090 10271952506760 10565436864096 10956749340544 11555946570105 11739374293440 11886116472108 12326343008112 13206796080120 13695936675680 13867135884126 14087249152128 14857645590135 15407928760140 15848155296144 16435124010816 17609061440160 18489514512168 19810194120180 20543905013520 20800703826189 21130873728192 23111893140210 23478748586880 23772232944216 24652686016224 26413592160240 27391873351360 27734271768252 29715291180270 30815857520280 31696310592288 32870248021632 34667839710315 35218122880320 36979029024336 39620388240360 41087810027040 41601407652378 42261747456384 46223786280420 47544465888432 49305372032448 52827184320480 54783746702720 55468543536504 59430582360540 61631715040560 63392621184576 69335679420630 70436245760640 73958058048672 79240776480720 82175620054080 83202815304756 92447572560840 95088931776864 98610744064896 104003519130945 105654368640960 110937087073008 118861164721080 123263430081120 126785242369152 138671358841260 147916116097344 158481552961440 164351240108160 166405630609512 184895145121680 190177863553728 208007038261890 211308737281920 221874174146016 237722329442160 246526860162240 277342717682520 295832232194688 316963105922880 332811261219024 369790290243360 380355727107456 416014076523780 443748348292032 475444658884320 493053720324480 554685435365040 633926211845760 665622522438048 739580580486720 832028153047560 887496696584064 950889317768640 1109370870730080 1331245044876096 1479161160973440 1664056306095120 1901778635537280 2218741741460160 2662490089752192 3328112612190240 4437483482920320 6656225224380480 13312450448760960
- Sum of all divisors σ(n): 54502485888614400
- Sum of proper divisors (its aliquot sum) s(n): 41190035439853440
- 13312450448760960 is an abundant number, because the sum of its proper divisors (41190035439853440) is greater than itself. Its abundance is 27877584991092480
Bases of 13312450448760960
- Binary: 1011110100101110011010011010000001011010100000100000002
- Hexadecimal: 0x2F4B9A6816A080
- Base-36: 3N2VBB3WO00
Squares and roots of 13312450448760960
- 13312450448760960 squared (133124504487609602) is 177221336950715885290399220121600
- 13312450448760960 cubed (133124504487609603) is 2359250266619574989620908468077226725020532736000
-
The
square root of 13312450448760960 is 115379592.8609602955 -
The
cube root of 13312450448760960 is 237002.3586248973
Scales and comparisons
How big is 13312450448760960?- 13,312,450,448,760,960 seconds is equal to 423,294,746 years, 8 weeks, 1 day, 9 hours, 36 minutes.
-
To count from 1 to 13,312,450,448,760,960 would take you about one billion, two hundred sixty-nine million, eight hundred eighty-four thousand, two hundred thirty-eight 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 13312450448760960 cubic inches would be around 19750.2 feet tall.
Recreational maths with 13312450448760960
- 13312450448760960 backwards is 06906784405421331
- 13312450448760960 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13312450448760960's digits is 63
- More coming soon!
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The information we have on file for 13312450448760960 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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