13125405640423680
13,125,405,640,423,680 is an even composite number composed of six prime numbers multiplied together.
13125405640423680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13125405640423680:
28 × 32 × 5 × 433 × 103 × 3732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 43 × 43 × 43 × 103 × 373 × 373)See below for interesting mathematical facts about the number 13125405640423680 from the Numbermatics database.
Names of 13125405640423680
- Cardinal: 13125405640423680 can be written as Thirteen quadrillion, one hundred twenty-five trillion, four hundred five billion, six hundred forty million, four hundred twenty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.312540564042368 × 1016
Factors of 13125405640423680
Divisors of 13125405640423680
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 64 72 80 86 90 96 103 120 128 129 144 160 172 180 192 206 215 240 256 258 288 309 320 344 360 373 384 387 412 430 480 515 516 576 618 640 645 688 720 746 768 774 824 860 927 960 1030 1032 1119 1152 1236 1280 1290 1376 1440 1492 1545 1548 1648 1720 1849 1854 1865 1920 1935 2060 2064 2238 2304 2472 2580 2752 2880 2984 3090 3096 3296 3357 3440 3698 3708 3730 3840 3870 4120 4128 4429 4476 4635 4944 5160 5504 5547 5595 5760 5968 6180 6192 6592 6714 6880 7396 7416 7460 7740 8240 8256 8858 8952 9245 9270 9888 10320 11008 11094 11190 11520 11936 12360 12384 13184 13287 13428 13760 14792 14832 14920 15480 16039 16480 16512 16641 16785 17716 17904 18490 18540 19776 20640 22145 22188 22380 23872 24720 24768 26368 26574 26856 27520 27735 29584 29664 29840 30960 32078 32960 33024 33282 33570 35432 35808 36980 37080 38419 39552 39861 41280 44290 44376 44760 47744 48117 49440 49536 53148 53712 55040 55470 59168 59328 59680 61920 64156 65920 66435 66564 67140 70864 71616 73960 74160 76838 79104 79507 79722 80195 82560 83205 88580 88752 89520 95488 96234 98880 99072 106296 107424 110940 115257 118336 118656 119360 123840 128312 131840 132870 133128 134280 139129 141728 143232 144351 147920 148320 153676 159014 159444 160390 165120 166410 177160 177504 179040 190447 192095 192468 197760 199305 212592 214848 221880 230514 236672 237312 238521 238720 240585 247680 256624 265740 266256 268560 278258 283456 286464 288702 295840 296640 307352 318028 318888 320780 332820 345771 354320 355008 358080 380894 384190 384936 395520 397535 398610 417387 425184 429696 443760 461028 473344 477042 477440 481170 495360 513248 531480 532512 537120 556516 566912 571341 576285 577404 591680 593280 614704 636056 637776 641560 665640 689677 691542 695645 708640 710016 715563 716160 721755 761788 768380 769872 795070 797220 834774 850368 859392 887520 922056 952235 954084 962340 1026496 1062960 1065024 1074240 1113032 1133824 1142682 1152570 1154808 1183360 1186560 1192605 1229408 1252161 1272112 1275552 1283120 1331280 1379354 1383084 1391290 1417280 1420032 1431126 1432320 1443510 1523576 1536760 1539744 1590140 1594440 1652017 1669548 1700736 1714023 1728855 1775040 1844112 1904470 1908168 1924680 2052992 2069031 2086935 2125920 2130048 2148480 2226064 2285364 2305140 2309616 2366720 2385210 2458816 2504322 2544224 2551104 2566240 2662560 2758708 2766168 2782580 2834560 2856705 2862252 2887020 3047152 3073520 3079488 3180280 3188880 3304034 3339096 3401472 3428046 3448385 3457710 3550080 3577815 3688224 3808940 3816336 3849360 4105984 4138062 4173870 4251840 4260096 4296960 4452128 4570728 4610280 4619232 4770420 4917632 4956051 5008644 5088448 5102208 5132480 5325120 5517416 5532336 5565160 5669120 5713410 5724504 5774040 5982547 6094304 6147040 6158976 6207093 6260805 6360560 6377760 6608068 6678192 6856092 6896770 6915420 7100160 7155630 7376448 7617880 7632672 7698720 8189221 8260085 8276124 8347740 8503680 8570115 8904256 9141456 9220560 9238464 9540840 9835264 9912102 10017288 10176896 10204416 10264960 10345155 10650240 11034832 11064672 11130320 11426820 11449008 11548080 11965094 12188608 12294080 12317952 12414186 12521610 12721120 12755520 13216136 13356384 13712184 13793540 13830840 14311260 14330287 14752896 14868153 15235760 15265344 15397440 16378442 16520170 16552248 16695480 17007360 17140230 17808512 17947641 18282912 18441120 18476928 19081680 19824204 20034576 20353792 20529920 20690310 21300480 22069664 22129344 22260640 22853640 22898016 23096160 23930188 24377216 24567663 24588160 24780255 24828372 25043220 25442240 25511040 26432272 26712768 27424368 27587080 27661680 28622520 28660574 29505792 29656111 29736306 29912735 30471520 30530688 30794880 31035465 32756884 33040340 33104496 33390960 34280460 35617024 35895282 36565824 36882240 36953856 38163360 39648408 40069152 40946105 41380620 42990861 44139328 44258688 44521280 45707280 45796032 46192320 47860376 48754432 49135326 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18867965184 18979911040 19031235840 19718474912 20458578528 20579961680 20635613280 21352399920 22123458806 22183284276 22731753920 22775893248 22972980480 23152456890 23584956480 24436635464 24648093640 24695954016 25573223160 26496700663 27278104704 27491214897 27514151040 27729105345 28469866560 29577712368 30545794330 30869942520 31446608640 32927938688 33016981248 33185188209 34097630880 34163839872 34459470720 36654953196 36972140460 37043931024 37959822080 39436949824 40917157056 41159923360 41271226560 42704799840 44246917612 44366568552 45463507840 45818691495 46304913780 47169912960 48873270928 49296187280 49391908032 51146446320 52993401326 54556209408 54982429794 55028302080 55308647015 55458210690 56939733120 59155424736 61091588660 61739885040 65855877376 66370376418 68195261760 68327679744 68918941440 73309906392 73944280920 74087862048 78873899648 79490101989 81834314112 82319846720 82542453120 85409599680 88493835224 88733137104 90927015680 91637382990 92609827560 94339825920 97746541856 98592374560 98783816064 99555564627 102292892640 105986802652 109964859588 110617294030 110916421380 113879466240 118310849472 122183177320 123479770080 132483503315 132740752836 136390523520 137456074485 146619812784 147888561840 148175724096 157747799296 158980203978 163668628224 164639693440 165084906240 165925941045 170819199360 176987670448 177466274208 183274765980 185219655120 195493083712 197184749120 197567632128 199111129254 204585785280 211973605304 219929719176 221234588060 221832842760 236621698944 238470305967 244366354640 246959540160 264967006630 265481505672 272781047040 274912148970 293239625568 295777123680 296351448192 317960407956 329279386880 331851882090 341638398720 353975340896 354932548416 366549531960 370439310240 390986167424 394369498240 397450509945 398222258508 409171570560 423947210608 439859438352 442469176120 443665685520 473243397888 476940611934 488732709280 493919080320 497777823135 529934013260 530963011344 549824297940 586479251136 591554247360 592702896384 635920815912 663703764180 707950681792 709865096832 733099063920 740878620480 781972334848 788738996480 794901019890 796444517016 818343141120 847894421216 879718876704 884938352240 887331371040 953881223868 977465418560 987838160640 995555646270 1059868026520 1061926022688 1099648595880 1139358128509 1172958502272 1183108494720 1192351529835 1271841631824 1327407528360 1415901363584 1419730193664 1466198127840 1481757240960 1589802039780 1592889034032 1695788842432 1759437753408 1769876704480 1774662742080 1907762447736 1954930837120 1991111292540 2119736053040 2123852045376 2199297191760 2278716257018 2345917004544 2366216989440 2384703059670 2543683263648 2654815056720 2831802727168 2932396255680 2963514481920 3179604079560 3185778068064 3391577684864 3418074385527 3518875506816 3539753408960 3549325484160 3815524895472 3909861674240 3982222585080 4239472106080 4247704090752 4398594383520 4557432514036 4769406119340 5087366527296 5309630113440 5696790642545 5864792511360 6359208159120 6371556136128 6783155369728 6836148771054 7037751013632 7079506817920 7098650968320 7631049790944 7964445170160 8478944212160 8495408181504 8797188767040 9114865028072 9538812238680 10174733054592 10254223156581 10619260226880 11393581285090 11729585022720 12718416318240 12743112272256 13672297542108 14159013635840 15262099581888 15928890340320 16957888424320 17090371927635 17594377534080 18229730056144 19077624477360 20349466109184 20508446313162 21238520453760 22787162570180 25436832636480 25486224544512 27344595084216 30524199163776 31857780680640 33915776848640 34180743855270 35188755068160 36459460112288 38155248954720 41016892626324 42477040907520 45574325140360 50873665272960 51271115782905 54689190168432 61048398327552 63715561361280 68361487710540 72918920224576 76310497909440 82033785252648 91148650280720 101747330545920 102542231565810 109378380336864 127431122722560 136722975421080 145837840449152 152620995818880 164067570505296 182297300561440 205084463131620 218756760673728 273445950842160 291675680898304 305241991637760 328135141010592 364594601122880 410168926263240 437513521347456 546891901684320 656270282021184 729189202245760 820337852526480 875027042694912 1093783803368640 1312540564042368 1458378404491520 1640675705052960 2187567606737280 2625081128084736 3281351410105920 4375135213474560 6562702820211840 13125405640423680
- Sum of all divisors σ(n): 47071365195254400
- Sum of proper divisors (its aliquot sum) s(n): 33945959554830720
- 13125405640423680 is an abundant number, because the sum of its proper divisors (33945959554830720) is greater than itself. Its abundance is 20820553914407040
Bases of 13125405640423680
- Binary: 1011101010000101111100101001001011101011111001000000002
- Hexadecimal: 0x2EA17CA4BAF900
- Base-36: 3L8KG3YDKW0
Squares and roots of 13125405640423680
- 13125405640423680 squared (131254056404236802) is 172276273225665753323289904742400
- 13125405640423680 cubed (131254056404236803) is 2261195968307324282864608125428971173977260032000
-
The
square root of 13125405640423680 is 114566162.7201665511 -
The
cube root of 13125405640423680 is 235887.1290700115
Scales and comparisons
How big is 13125405640423680?- 13,125,405,640,423,680 seconds is equal to 417,347,299 years, 42 weeks, 4 days, 12 hours, 48 minutes.
-
To count from 1 to 13,125,405,640,423,680 would take you about one billion, two hundred fifty-two million, forty-one thousand, eight hundred ninety-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 13125405640423680 cubic inches would be around 19657.3 feet tall.
Recreational maths with 13125405640423680
- 13125405640423680 backwards is 08632404650452131
- The number of decimal digits it has is: 17
- The sum of 13125405640423680's digits is 54
- More coming soon!
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"Number 13125405640423680 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 13125405640423680 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13125405640423680/
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The information we have on file for 13125405640423680 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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