13084875743612640
13,084,875,743,612,640 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13084875743612640 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
13084875743612640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13084875743612640:
25 × 3 × 5 × 11 × 107 × 263 × 331 × 266053
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 107 × 263 × 331 × 266053)See below for interesting mathematical facts about the number 13084875743612640 from the Numbermatics database.
Names of 13084875743612640
- Cardinal: 13084875743612640 can be written as Thirteen quadrillion, eighty-four trillion, eight hundred seventy-five billion, seven hundred forty-three million, six hundred twelve thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.308487574361264 × 1016
Factors of 13084875743612640
Divisors of 13084875743612640
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 107 110 120 132 160 165 176 214 220 240 263 264 321 330 331 352 428 440 480 526 528 535 642 660 662 789 856 880 993 1052 1056 1070 1177 1284 1315 1320 1324 1578 1605 1655 1712 1760 1986 2104 2140 2354 2568 2630 2640 2648 2893 3156 3210 3310 3424 3531 3641 3945 3972 4208 4280 4708 4965 5136 5260 5280 5296 5786 5885 6312 6420 6620 7062 7282 7890 7944 8416 8560 8679 9416 9930 10272 10520 10592 10923 11572 11770 12624 12840 13240 14124 14465 14564 15780 15888 17120 17358 17655 18205 18832 19860 21040 21846 23144 23540 25248 25680 26480 28141 28248 28930 29128 31560 31776 34716 35310 35417 36410 37664 39720 42080 43395 43692 46288 47080 51360 52960 54615 56282 56496 57860 58256 63120 69432 70620 70834 72820 79440 84423 86790 87053 87384 92576 94160 106251 109230 112564 112992 115720 116512 126240 138864 140705 141240 141668 145640 158880 168846 173580 174106 174768 177085 188320 212502 218460 225128 231440 261159 266053 277728 281410 282480 283336 291280 309551 337692 347160 348212 349536 354170 389587 422115 425004 435265 436920 450256 462880 522318 531255 532106 562820 564960 566672 582560 619102 675384 694320 696424 708340 779174 798159 844230 850008 870530 873840 900512 928653 957583 1044636 1062510 1064212 1125640 1133344 1168761 1238204 1305795 1330265 1350768 1388640 1392848 1416680 1547755 1558348 1596318 1688460 1700016 1741060 1747680 1857306 1915166 1947935 2089272 2125020 2128424 2251280 2337522 2476408 2611590 2660530 2701536 2785696 2833360 2872749 2926583 3095510 3116696 3192636 3376920 3400032 3482120 3714612 3830332 3895870 3990795 4178544 4250040 4256848 4502560 4643265 4675044 4787915 4952816 5223180 5321060 5666720 5745498 5843805 5853166 6191020 6233392 6385272 6753840 6964240 7429224 7660664 7791740 7981590 8357088 8500080 8513696 8779749 9286530 9314671 9350088 9575830 9905632 10446360 10642120 11490996 11687610 11706332 12382040 12466784 12770544 13507680 13928480 14363745 14632915 14858448 15321328 15583480 15963180 17000160 17559498 18573060 18629342 18700176 19151660 20892720 21284240 22981992 23375220 23412664 24764080 25541088 27944013 28467671 28727490 29265830 29716896 30642656 31166960 31926360 35118996 37146120 37258684 37400352 38303320 41785440 42568480 43898745 45963984 46573355 46750440 46825328 49528160 55888026 56935342 57454980 58531660 62333920 63852720 69971939 70237992 74292240 74517368 76606640 85403013 87797490 88063543 91927968 93146710 93500880 93650656 102461381 111776052 113870684 114909960 117063320 127705440 139720065 139943878 140475984 142338355 148584480 149034736 153213280 170806026 175594980 176127086 186293420 187001760 204922762 209915817 223552104 227741368 229819920 234126640 264190629 279440130 279887756 280951968 284676710 298069472 307384143 313144381 341612052 349859695 351189960 352254172 372586840 409845524 419831634 427015065 440317715 447104208 455482736 459639840 468253280 512306905 528381258 558880260 559775512 569353420 614768286 626288762 683224104 699719390 702379920 704508344 745173680 769691329 819691048 839663268 854030130 880635430 894208416 910965472 939433143 968698973 1024613810 1049579085 1056762516 1117760520 1119551024 1138706840 1229536572 1252577524 1320953145 1366448208 1399438780 1404759840 1409016688 1490347360 1536920715 1539382658 1565721905 1639382096 1679326536 1708060260 1761270860 1878866286 1937397946 2049227620 2099158170 2113525032 2235521040 2239102048 2277413680 2309073987 2459073144 2505155048 2641906290 2732896416 2798877560 2818033376 2906096919 3073841430 3078765316 3131443810 3278764192 3358653072 3416120520 3522541720 3757732572 3848456645 3874795892 4098455240 4198316340 4227050064 4471042080 4554827360 4618147974 4697165715 4843494865 4918146288 5010310096 5283812580 5597755120 5812193838 6147682860 6157530632 6262887620 6717306144 6832241040 7045083440 7486997473 7515465144 7696913290 7749591784 8196910480 8396632680 8454100128 9236295948 9394331430 9422799101 9686989730 9836292576 10020620192 10567625160 11195510240 11545369935 11624387676 12295365720 12315061264 12525775240 13664482080 14090166880 14530484595 14973994946 15030930288 15393826580 15499183568 16393820960 16793265360 18472591896 18788662860 18845598202 19373979460 21135250320 22460992419 23090739870 23160711809 23248775352 24590731440 24630122528 25051550480 28268397303 29060969190 29947989892 30061860576 30787653160 30998367136 33586530720 36945183792 37434987365 37577325720 37691196404 38747958920 42270500640 44921984838 46181479740 46321423618 46497550704 47113995505 49181462880 50103100960 56536794606 58121938380 59895979784 61575306320 69482135427 73890367584 74869974730 75154651440 75382392808 77495917840 82356972203 89843969676 92362959480 92642847236 92995101408 94227991010 103650790111 112304962095 113073589212 115803559045 116243876760 119791959568 123150612640 138964270854 141341986515 149739949460 150309302880 150764785616 154991835680 164713944406 179687939352 184725918960 185285694472 188455982020 207301580222 224609924190 226147178424 231607118090 232487753520 239583919136 247070916609 254767829899 277928541708 282683973030 299479898920 301529571232 310952370333 329427888812 347410677135 359375878704 369451837920 370571388944 376911964040 411784861015 414603160444 449219848380 452294356848 463214236180 464975507040 494141833218 509535659798 518253950555 555857083416 565367946060 598959797840 621904740666 658855777624 694821354270 718751757408 741142777888 753823928080 764303489697 823569722030 829206320888 898439696760 904588713696 926428472360 988283666436 1019071319596 1036507901110 1111714166832 1130735892120 1197919595680 1235354583045 1243809481332 1273839149495 1317711555248 1389642708540 1507647856160 1528606979394 1554761851665 1647139444060 1658412641776 1796879393520 1852856944720 1976567332872 2038142639192 2073015802220 2223428333664 2261471784240 2470709166090 2478196163563 2487618962664 2547678298990 2635423110496 2779285417080 3057213958788 3109523703330 3294278888120 3316825283552 3593758787040 3705713889440 3821517448485 3953134665744 4076285278384 4146031604440 4522943568480 4941418332180 4956392327126 4975237925328 5095356597980 5558570834160 6114427917576 6219047406660 6588557776240 7434588490689 7643034896970 7906269331488 8152570556768 8292063208880 9882836664360 9912784654252 9950475850656 10190713195960 11117141668320 12228855835152 12390980817815 12438094813320 13177115552480 14869176981378 15286069793940 16584126417760 19765673328720 19825569308504 20381426391920 24457711670304 24781961635630 24876189626640 27260157799193 29738353962756 30572139587880 37172942453445 39531346657440 39651138617008 40762852783840 49563923271260 49752379253280 54520315598386 59476707925512 61144279175760 74345884906890 79302277234016 81780473397579 99127846542520 109040631196772 118953415851024 122288558351520 136300788995965 148691769813780 163560946795158 198255693085040 218081262393544 237906831702048 272601577991930 297383539627560 327121893590316 396511386170080 408902366987895 436162524787088 545203155983860 594767079255120 654243787180632 817804733975790 872325049574176 1090406311967720 1189534158510240 1308487574361264 1635609467951580 2180812623935440 2616975148722528 3271218935903160 4361625247870880 6542437871806320 13084875743612640
- Sum of all divisors σ(n): 45694990987075584
- Sum of proper divisors (its aliquot sum) s(n): 32610115243462944
- 13084875743612640 is an abundant number, because the sum of its proper divisors (32610115243462944) is greater than itself. Its abundance is 19525239499850304
Bases of 13084875743612640
- Binary: 1011100111110010100000000010101010000011001110111000002
- Hexadecimal: 0x2E7CA00AA0CEE0
- Base-36: 3KU78XK9LUO
Squares and roots of 13084875743612640
- 13084875743612640 squared (130848757436126402) is 171213973225782438599758367769600
- 13084875743612640 cubed (130848757436126403) is 2240313565229584621586408505273468019243167744000
-
The
square root of 13084875743612640 is 114389141.7207622903 -
The
cube root of 13084875743612640 is 235644.0803655529
Scales and comparisons
How big is 13084875743612640?- 13,084,875,743,612,640 seconds is equal to 416,058,574 years, 24 weeks, 2 days, 15 hours, 4 minutes.
-
To count from 1 to 13,084,875,743,612,640 would take you about one billion, two hundred forty-eight million, one hundred seventy-five thousand, seven hundred twenty-three 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 13084875743612640 cubic inches would be around 19637 feet tall.
Recreational maths with 13084875743612640
- 13084875743612640 backwards is 04621634757848031
- The number of decimal digits it has is: 17
- The sum of 13084875743612640's digits is 69
- More coming soon!
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The information we have on file for 13084875743612640 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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