13386428582400
13,386,428,582,400 is an even composite number composed of six prime numbers multiplied together.
13386428582400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 13386428582400:
29 × 34 × 52 × 29 × 139 × 3203
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 29 × 139 × 3203)See below for interesting mathematical facts about the number 13386428582400 from the Numbermatics database.
Names of 13386428582400
- Cardinal: 13386428582400 can be written as Thirteen trillion, three hundred eighty-six billion, four hundred twenty-eight million, five hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.33864285824 × 1013
Factors of 13386428582400
Divisors of 13386428582400
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 100 108 116 120 128 135 139 144 145 150 160 162 174 180 192 200 216 225 232 240 256 261 270 278 288 290 300 320 324 348 360 384 400 405 417 432 435 450 464 480 512 522 540 556 576 580 600 640 648 675 695 696 720 725 768 783 800 810 834 864 870 900 928 960 1044 1080 1112 1152 1160 1200 1251 1280 1296 1305 1350 1390 1392 1440 1450 1536 1566 1600 1620 1668 1728 1740 1800 1856 1920 2025 2085 2088 2160 2175 2224 2304 2320 2349 2400 2502 2560 2592 2610 2700 2780 2784 2880 2900 3132 3200 3203 3240 3336 3456 3475 3480 3600 3712 3753 3840 3915 4031 4050 4170 4176 4320 4350 4448 4608 4640 4698 4800 5004 5184 5220 5400 5560 5568 5760 5800 6255 6264 6400 6406 6480 6525 6672 6912 6950 6960 7200 7424 7506 7680 7830 8062 8100 8340 8352 8640 8700 8896 9280 9396 9600 9609 10008 10368 10425 10440 10800 11120 11136 11259 11520 11600 11745 12093 12510 12528 12800 12812 12960 13050 13344 13824 13900 13920 14400 14848 15012 15660 16015 16124 16200 16680 16704 17280 17400 17792 18560 18765 18792 19200 19218 19575 20016 20155 20736 20850 20880 21600 22240 22272 22518 23040 23200 23490 24186 25020 25056 25624 25920 26100 26688 27800 27840 28800 28827 30024 31275 31320 32030 32248 32400 33360 33408 34560 34800 35584 36279 37120 37530 37584 38400 38436 39150 40032 40310 41472 41700 41760 43200 44480 44544 45036 46400 46980 48045 48372 50040 50112 51248 51840 52200 53376 55600 55680 56295 57600 57654 58725 60048 60465 62550 62640 64060 64496 64800 66720 66816 69120 69600 71168 72558 74240 75060 75168 76872 78300 80064 80075 80620 83400 83520 86400 86481 88960 90072 92800 92887 93825 93960 96090 96744 100080 100224 100775 102496 103680 104400 106752 108837 111200 111360 112590 115200 115308 117450 120096 120930 125100 125280 128120 128992 129600 133440 133632 139200 144135 145116 150120 150336 153744 156600 160128 160150 161240 166800 167040 172800 172962 177920 180144 181395 185600 185774 187650 187920 192180 193488 200160 200448 201550 204992 207360 208800 213504 217674 222400 222720 225180 230616 234900 240192 240225 241860 250200 250560 256240 257984 259200 259443 266880 278400 278661 281475 288270 290232 300240 300672 302325 307488 313200 320256 320300 322480 326511 333600 334080 345600 345924 355840 360288 362790 371200 371548 375300 375840 384360 386976 400320 400896 403100 409984 417600 432405 435348 444800 445217 450360 461232 464435 469800 480384 480450 483720 500400 501120 512480 515968 518400 518886 533760 544185 556800 557322 562950 576540 580464 600480 601344 604650 614976 626400 640512 640600 644960 653022 667200 668160 691848 720576 720675 725580 743096 750600 751680 768720 773952 800640 806200 819968 835200 835983 864810 870696 889600 890434 900720 906975 922464 928870 939600 960768 960900 967440 1000800 1002240 1024960 1031936 1036800 1037772 1067520 1088370 1113600 1114644 1125900 1153080 1160928 1200960 1202688 1209300 1229952 1252800 1281200 1289920 1297215 1306044 1334400 1335651 1383696 1393305 1441152 1441350 1451160 1486192 1501200 1503360 1537440 1547904 1601280 1612400 1632555 1639936 1670400 1671966 1729620 1741392 1779200 1780868 1801440 1813950 1844928 1857740 1879200 1921536 1921800 1934880 2001600 2004480 2049920 2063872 2075544 2162025 2176740 2226085 2229288 2251800 2306160 2321856 2322175 2401920 2418600 2459904 2505600 2507949 2562400 2579840 2594430 2612088 2668800 2671302 2720925 2767392 2786610 2882304 2882700 2902320 2972384 3002400 3006720 3074880 3095808 3202560 3224800 3265110 3340800 3343932 3459240 3482784 3561736 3602880 3627900 3689856 3715480 3758400 3843600 3869760 4003200 4006953 4099840 4151088 4179915 4324050 4353480 4452170 4458576 4503600 4612320 4643712 4644350 4803840 4837200 4919808 5011200 5015898 5124800 5159680 5188860 5224176 5337600 5342604 5441850 5534784 5573220 5764608 5765400 5804640 5944768 6004800 6013440 6149760 6191616 6449600 6486075 6530220 6678255 6687864 6918480 6965568 6966525 7123472 7205760 7255800 7379712 7430960 7516800 7523847 7687200 7739520 8006400 8013906 8162775 8199680 8302176 8359830 8648100 8706960 8904340 8917152 9007200 9224640 9287424 9288700 9607680 9674400 10022400 10031796 10249600 10319360 10377720 10448352 10685208 10883700 11069568 11130425 11146440 11530800 11609280 11889536 12009600 12020859 12299520 12539745 12899200 12911293 12972150 13060440 13356510 13375728 13836960 13931136 13933050 14246944 14411520 14511600 14759424 14861920 15033600 15047694 15374400 15479040 16012800 16027812 16325550 16604352 16719660 17296200 17413920 17808680 17834304 18014400 18449280 18574848 18577400 19348800 20034765 20063592 20499200 20755440 20896704 20899575 21370416 21767400 22139136 22260850 22292880 23061600 23218560 23779072 24019200 24041718 24599040 25079490 25798400 25822586 25944300 26120880 26713020 26751456 27673920 27862272 27866100 28493888 28823040 29023200 29723840 30067200 30095388 30748800 30958080 32055624 32651100 33208704 33391275 33439320 34592400 34827840 35617360 35668608 36028800 36062577 36898560 37154800 37619235 38697600 38733879 40069530 40127184 40998400 41510880 41793408 41799150 42740832 43534800 44278272 44521700 44585760 46123200 46437120 47558144 48038400 48083436 50158980 51596800 51645172 51888600 52241760 53426040 53502912 55347840 55724544 55732200 56987776 58046400 59447680 60104295 60190776 61497600 62698725 64111248 64556465 65302200 66417408 66782550 66878640 69184800 69655680 71234720 71337216 72057600 72125154 73797120 74309600 75238470 77395200 77467758 80139060 80254368 83021760 83586816 83598300 85481664 87069600 89043400 89171520 92246400 92874240 96166872 100173825 100317960 103290344 103777200 104483520 106852080 107005824 110695680 111464400 113975552 116092800 116201637 118895360 120208590 120381552 122995200 125397450 128222496 129112930 130604400 132834816 133565100 133757280 138369600 139311360 142469440 142674432 144115200 144250308 148619200 150476940 154790400 154935516 160278120 160508736 166043520 167173632 167196600 170963328 174139200 178086800 178343040 180312885 184492800 188096175 192333744 193669395 200347650 200635920 206580688 207554400 208967040 213704160 214011648 221391360 222928800 227951104 232185600 232403274 237790720 240417180 240763104 250794900 256444992 258225860 261208800 267130200 267514560 276739200 278622720 284938880 288500616 297238400 300521475 300953880 309871032 320556240 321017472 322782325 332087040 334393200 341926656 348278400 348604911 356173600 356686080 360625770 368985600 376192350 384667488 387338790 400695300 401271840 413161376 415108800 417934080 427408320 428023296 445857600 464371200 464806548 480834360 481526208 501589800 512889984 516451720 522417600 534260400 535029120 553478400 569877760 577001232 581008185 594476800 601042950 601907760 619742064 641112480 642034944 645564650 664174080 668786400 683853312 696556800 697209822 712347200 713372160 721251540 752384700 769334976 774677580 801390600 802543680 826322752 830217600 835868160 854816640 891715200 901564425 929613096 961668720 963052416 968346975 1003179600 1025779968 1032903440 1044835200 1045814733 1068520800 1070058240 1106956800 1139755520 1154002464 1162016370 1188953600 1202085900 1203815520 1239484128 1282224960 1284069888 1291129300 1337572800 1393113600 1394419644 1424694400 1442503080 1504769400 1538669952 1549355160 1602781200 1605087360 1652645504 1660435200 1709633280 1743024555 1783430400 1803128850 1859226192 1923337440 1926104832 1936693950 2006359200 2051559936 2065806880 2089670400 2091629466 2137041600 2140116480 2308004928 2324032740 2404171800 2407631040 2478968256 2564449920 2582258600 2675145600 2788839288 2849388800 2885006160 2905040925 3009538800 3077339904 3098710320 3205562400 3210174720 3305291008 3320870400 3419266560 3486049110 3566860800 3606257700 3718452384 3846674880 3852209664 3873387900 4012718400 4131613760 4179340800 4183258932 4274083200 4616009856 4648065480 4808343600 4815262080 4957936512 5128899840 5164517200 5229073665 5350291200 5577678576 5698777600 5770012320 5810081850 6019077600 6154679808 6197420640 6411124800 6420349440 6610582016 6972098220 7212515400 7436904768 7693349760 7746775800 8025436800 8263227520 8366517864 8548166400 8715122775 9232019712 9296130960 9616687200 9630524160 9915873024 10257799680 10329034400 10458147330 10700582400 11155357152 11540024640 11620163700 12038155200 12394841280 12822249600 13944196440 14425030800 14873809536 15386699520 15493551600 16050873600 16526455040 16733035728 17096332800 17430245550 18464039424 18592261920 19233374400 19261048320 19831746048 20658068800 20916294660 22310714304 23080049280 23240327400 24076310400 24789682560 25644499200 26145368325 27888392880 28850061600 29747619072 30773399040 30987103200 32101747200 33052910080 33466071456 34860491100 37184523840 38466748800 41316137600 41832589320 44621428608 46160098560 46480654800 48152620800 49579365120 51288998400 52290736650 55776785760 57700123200 59495238144 61974206400 66932142912 69720982200 74369047680 76933497600 82632275200 83665178640 89242857216 92320197120 92961309600 96305241600 99158730240 104581473300 111553571520 115400246400 123948412800 133864285824 139441964400 148738095360 153866995200 165264550400 167330357280 178485714432 185922619200 209162946600 223107143040 230800492800 247896825600 267728571648 278883928800 297476190720 334660714560 371845238400 418325893200 446214286080 461600985600 495793651200 535457143296 557767857600 669321429120 743690476800 836651786400 892428572160 1115535715200 1338642858240 1487380953600 1673303572800 2231071430400 2677285716480 3346607145600 4462142860800 6693214291200 13386428582400
- Sum of all divisors σ(n): 51637415306400
- Sum of proper divisors (its aliquot sum) s(n): 38250986724000
- 13386428582400 is an abundant number, because the sum of its proper divisors (38250986724000) is greater than itself. Its abundance is 24864558141600
Bases of 13386428582400
- Binary: 110000101100110001010101001000001010000000002
- Hexadecimal: 0xC2CC5520A00
- Base-36: 4QTN1Y800
Squares and roots of 13386428582400
- 13386428582400 squared (133864285824002) is 179196470191695673589760000
- 13386428582400 cubed (133864285824003) is 2398800750439304572064384075956224000000
-
The
square root of 13386428582400 is 3658746.8595681773 -
The
cube root of 13386428582400 is 23744.0560311981
Scales and comparisons
How big is 13386428582400?- 13,386,428,582,400 seconds is equal to 425,647 years, 1 week, 1 day.
-
To count from 1 to 13,386,428,582,400 would take you about one million, sixty-four thousand, one hundred seventeen 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 13386428582400 cubic inches would be around 1978.7 feet tall.
Recreational maths with 13386428582400
- 13386428582400 backwards is 00428582468331
- 13386428582400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13386428582400's digits is 54
- More coming soon!
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The information we have on file for 13386428582400 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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