13478641402924004940
13,478,641,402,924,004,940 is an even composite number composed of six prime numbers multiplied together.
What does the number 13478641402924004940 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13478641402924004940 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13478641402924004940:
22 × 33 × 5 × 473 × 1073 × 4432
(2 × 2 × 3 × 3 × 3 × 5 × 47 × 47 × 47 × 107 × 107 × 107 × 443 × 443)See below for interesting mathematical facts about the number 13478641402924004940 from the Numbermatics database.
Names of 13478641402924004940
- Cardinal: 13478641402924004940 can be written as Thirteen quintillion, four hundred seventy-eight quadrillion, six hundred forty-one trillion, four hundred two billion, nine hundred twenty-four million, four thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.347864140292400494 × 1019
Factors of 13478641402924004940
Divisors of 13478641402924004940
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 107 108 135 141 180 188 214 235 270 282 321 423 428 443 470 535 540 564 642 705 846 886 940 963 1070 1269 1284 1329 1410 1605 1692 1772 1926 2115 2140 2209 2215 2538 2658 2820 2889 3210 3852 3987 4230 4418 4430 4815 5029 5076 5316 5778 6345 6420 6627 6645 7974 8460 8836 8860 9630 10058 11045 11449 11556 11961 12690 13254 13290 14445 15087 15948 19260 19881 19935 20116 20821 22090 22898 23922 25145 25380 26508 26580 28890 30174 33135 34347 39762 39870 41642 44180 45261 45796 47401 47844 50290 57245 57780 59643 59805 60348 62463 66270 68694 75435 79524 79740 83284 90522 94802 99405 100580 103041 103823 104105 114490 119286 119610 124926 132540 135783 137388 142203 150870 171735 181044 187389 189604 196249 198810 206082 207646 208210 226305 228980 236363 237005 238572 239220 249852 271566 284406 298215 301740 309123 311469 312315 343470 374778 392498 397620 412164 415292 416420 426609 452610 472726 474010 515205 519115 538103 543132 562167 568812 588747 596430 618246 622938 624630 678915 686940 709089 711015 749556 784996 853218 905220 934407 936945 945452 948020 978587 981245 1030410 1038230 1076206 1124334 1177494 1181815 1192860 1225043 1236492 1245876 1249260 1279827 1357830 1418178 1422030 1545615 1557345 1614309 1706436 1766241 1868814 1873890 1957174 1962490 2060820 2076460 2127267 2133045 2152412 2227847 2248668 2354988 2363630 2450086 2559654 2690515 2715660 2803221 2810835 2836356 2844060 2935761 2943735 3091230 3114690 3228618 3532482 3545445 3675129 3737628 3747780 3914348 3924980 4254534 4266090 4455694 4672035 4727260 4842927 4892935 4900172 5071907 5119308 5298723 5381030 5606442 5621670 5871522 5887470 6125215 6182460 6229380 6381801 6399135 6457236 6683541 7064964 7090890 7350258 8071545 8509068 8532180 8807283 8831205 8911388 9223703 9344070 9685854 9785870 10143814 10597446 10636335 10762060 11025387 11109061 11139235 11212884 11243340 11743044 11774940 12250430 12763602 12798270 13367082 14016105 14181780 14528781 14678805 14700516 15215721 16143090 17614566 17662410 18375645 18447406 18688140 19371708 19571740 20050623 20287628 20998643 21194892 21272670 22050774 22218122 22278470 24214635 24500860 25290841 25359535 25527204 25596540 26421849 26493615 26734164 27671109 28032210 29057562 29357610 30431442 31909005 32286180 33076161 33327183 33417705 35229132 35324820 36751290 36894812 40101246 41997286 42545340 44036415 44101548 44436244 44556940 45647163 45993589 46118515 48429270 50581682 50719070 52843698 52987230 55126935 55342218 55545305 56064420 57577021 58115124 58715220 60151869 60862884 62995929 63818010 66152322 66654366 66835410 72643905 73502580 75872523 76078605 80202492 83013327 83994572 88072830 91294326 91987178 92237030 96858540 99981549 100253115 101163364 101438140 104708809 104993215 105687396 105974460 110253870 110684436 111090610 115154042 120303738 125991858 126454205 127636020 132109245 132304644 133308732 133670820 136941489 137980767 138355545 145287810 151745046 152157210 165380805 166026654 166635915 172731063 176145660 182588652 183974356 184474060 188987787 199963098 200506230 209417618 209986430 220507740 222181220 227617569 228235815 229967945 230308084 238379629 240607476 249039981 251983716 252908410 264218490 273882978 275961534 276711090 287885105 290575620 299944647 300759345 303490092 304314420 314126427 314979645 330761610 332053308 333271830 345462126 377975574 379362615 399926196 401012460 413942301 415066635 418835236 419972860 433514041 455235138 456471630 459935890 476759258 498079962 499907745 505816820 518193189 523544045 528436980 542694049 547765956 551923068 553422180 566963361 575770210 599889294 601518690 628252854 629959290 661523220 666543660 682852707 684707445 689903835 690924252 715138887 755951148 758725230 827884602 830133270 863655315 867028082 910470276 912943260 919871780 942379281 944938935 953518516 986936221 996159924 999815490 1036386378 1047088090 1085388098 1133926722 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1144688754501 1147797913635 1198811154241 1202067318535 1210014996804 1213301592540 1222509595620 1252422064449 1267226107764 1271876393890 1328754786210 1377357496362 1391580071610 1442480782242 1461304792980 1512518746005 1526251672668 1530397218180 1579741801383 1584032634705 1669896085932 1833764393430 1900839161646 1907814590835 2016691661340 2087370107415 2106322401844 2112043512940 2163721173363 2180142112189 2200517272116 2289377509002 2295595827270 2397622308482 2404134637070 2504844128898 2543752787780 2632903002305 2657509572420 2750646590145 2754714992724 2783160143220 2851258742469 2884961564484 3025037492010 3159483602766 3168065269410 3434066263503 3443393740905 3596433462723 3606201955605 3667528786860 3801678323292 3815629181670 4174740214830 4327442346726 4360284224378 4578755018004 4591191654540 4739225404149 4752097904115 4795244616964 4808269274140 4963302255409 5009688257796 5265806004610 5501293180290 5702517484938 5723443772505 5994055771205 6050074984020 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531073341328763 536036643584172 563441242493270 588638370291030 610169370888366 647358023290140 670045804480215 676129490991924 677965967653740 699825618012669 845161863739905 893394405973620 933100824016892 1014194236487886 1016948951480610 1062146682657526 1126882484986540 1166376030021115 1177276740582060 1220338741776732 1340091608960430 1399651236025338 1521291354731829 1525423427220915 1593220023986289 1690323727479810 2028388472975772 2033897902961220 2099476854038007 2124293365315052 2332752060042230 2535485591219715 2655366706643815 2680183217920860 2799302472050676 3042582709463658 3050846854441830 3186440047972578 3380647454959620 3499128090063345 4198953708076014 4665504120084460 4779660071958867 5070971182439430 5310733413287630 6085165418927316 6101693708883660 6298430562114021 6372880095945156 6998256180126690 7606456773659145 7966100119931445 8397907416152028 9559320143917734 10141942364878860 10497384270190035 10621466826575260 12596861124228042 13996512360253380 14338980215876601 15212913547318290 15932200239862890 19118640287835468 20994768540380070 23898300359794335 24960447042451861 25193722248456084 28677960431753202 30425827094636580 31492152810570105 31864400479725780 41989537080760140 47796600719588670 49920894084903722 57355920863506404 62984305621140210 71694901079383005 74881341127355583 95593201439177340 99841788169807444 124802235212259305 125968611242280420 143389802158766010 149762682254711166 224644023382066749 249604470424518610 286779604317532020 299525364509422332 374406705636777915 449288046764133498 499208940849037220 673932070146200247 748813411273555830 898576093528266996 1123220116910333745 1347864140292400494 1497626822547111660 2246440233820667490 2695728280584800988 3369660350731001235 4492880467641334980 6739320701462002470 13478641402924004940
- Sum of all divisors σ(n): 43347188989278720000
- Sum of proper divisors (its aliquot sum) s(n): 29868547586354715060
- 13478641402924004940 is an abundant number, because the sum of its proper divisors (29868547586354715060) is greater than itself. Its abundance is 16389906183430710120
Bases of 13478641402924004940
- Binary: 10111011000011011100000011110001011011000010100001110110010011002
- Hexadecimal: 0xBB0DC0F16C28764C
- Base-36: 2UEK3M2XGSZF0
Squares and roots of 13478641402924004940
- 13478641402924004940 squared (134786414029240049402) is 181673774068617188084726836889144403600
- 13478641402924004940 cubed (134786414029240049403) is 2448715652986725084915466408313719378555701508499753784000
-
The
square root of 13478641402924004940 is 3671326926.7288094429 -
The
cube root of 13478641402924004940 is 2379845.1870043829
Scales and comparisons
How big is 13478641402924004940?- 13,478,641,402,924,004,940 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,478,641,402,924,004,940 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 13478641402924004940 cubic inches would be around 198320.4 feet tall.
Recreational maths with 13478641402924004940
- 13478641402924004940 backwards is 04940042920414687431
- The number of decimal digits it has is: 20
- The sum of 13478641402924004940's digits is 72
- More coming soon!
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"Number 13478641402924004940 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13478641402924004940 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13478641402924004940/
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Numbermatics. 2024. "Number 13478641402924004940 - Facts about the integer". https://numbermatics.com/n/13478641402924004940/
The information we have on file for 13478641402924004940 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!
Keywords: Divisors of 13478641402924004940, math, Factors of 13478641402924004940, curriculum, school, college, exams, university, Prime factorization of 13478641402924004940, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, four hundred seventy-eight quadrillion, six hundred forty-one trillion, four hundred two billion, nine hundred twenty-four million, four thousand, nine hundred forty.