13045804456048000
13,045,804,456,048,000 is an even composite number composed of six prime numbers multiplied together.
13045804456048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13045804456048000:
27 × 53 × 7 × 13 × 313 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 31 × 31 × 31 × 67 × 67 × 67)See below for interesting mathematical facts about the number 13045804456048000 from the Numbermatics database.
Names of 13045804456048000
- Cardinal: 13045804456048000 can be written as Thirteen quadrillion, forty-five trillion, eight hundred four billion, four hundred fifty-six million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.3045804456048 × 1016
Factors of 13045804456048000
Divisors of 13045804456048000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 50 52 56 62 64 65 67 70 80 91 100 104 112 124 125 128 130 134 140 155 160 175 182 200 208 217 224 248 250 260 268 280 310 320 325 335 350 364 400 403 416 434 448 455 469 496 500 520 536 560 620 640 650 670 700 728 775 800 806 832 868 871 875 896 910 938 961 992 1000 1040 1072 1085 1120 1240 1300 1340 1400 1456 1550 1600 1612 1625 1664 1675 1736 1742 1750 1820 1876 1922 1984 2000 2015 2077 2080 2144 2170 2240 2275 2345 2480 2600 2680 2800 2821 2912 3100 3200 3224 3250 3350 3472 3484 3500 3640 3752 3844 3875 3968 4000 4030 4154 4160 4288 4340 4355 4480 4489 4550 4690 4805 4960 5200 5360 5425 5600 5642 5824 6097 6200 6448 6500 6700 6727 6944 6968 7000 7280 7504 7688 7750 8000 8060 8308 8320 8375 8576 8680 8710 8978 9100 9380 9610 9920 10075 10385 10400 10720 10850 11200 11284 11375 11648 11725 12194 12400 12493 12896 13000 13400 13454 13888 13936 14000 14105 14539 14560 15008 15376 15500 16000 16120 16616 16750 17360 17420 17956 18200 18760 19220 19840 20150 20770 20800 21440 21700 21775 22400 22445 22568 22750 23450 24025 24388 24800 24986 25792 26000 26800 26908 27001 27125 27776 27872 28000 28210 29078 29120 29791 30016 30485 30752 31000 31423 32240 33232 33500 33635 34720 34840 35912 36400 37520 38440 40300 41540 41600 42880 43400 43550 44890 45136 45500 46900 48050 48776 49600 49972 50375 51584 51925 52000 53600 53816 54002 54250 55744 56000 56420 58156 58240 58357 58625 59582 60032 60970 61504 62000 62465 62846 64387 64480 66464 67000 67270 69440 69680 70525 71824 72695 72800 75040 76880 80600 83080 86800 87100 87451 89780 90272 91000 93800 96100 97552 99200 99944 100750 103850 104000 107200 107632 108004 108500 108875 111488 112000 112225 112840 116312 116714 117250 119164 120125 121940 123008 124000 124930 125692 128774 128960 132928 134000 134540 135005 138880 139159 139360 141050 143648 145390 145600 148955 150080 152425 153760 157115 161200 166160 168175 173600 174200 174902 179560 180544 182000 187600 189007 192200 195104 199888 201500 207700 208000 208537 214400 215264 216008 217000 217750 224450 225680 232624 233428 234500 238328 240250 243880 248000 249860 251384 257548 257920 259625 265856 268000 269080 270010 278318 278720 282100 287296 290780 291200 291785 297910 300160 300763 304850 307520 312325 314230 321935 322400 332320 336350 347200 348400 349804 352625 359120 361088 363475 364000 375200 378014 384400 387283 390208 399776 403000 408499 415400 417074 430528 432016 434000 435500 437255 448900 450709 451360 465248 466856 469000 476656 480500 487760 496000 499720 502768 515096 519250 536000 538160 540020 556636 557440 561125 564200 574592 581560 583570 595820 601526 609700 615040 624650 628460 643870 644800 664640 672700 675025 694400 695795 696800 699608 705250 718240 726950 728000 744775 750400 756028 762125 768800 774566 780416 785575 799552 806000 816998 830800 834148 837031 840875 861056 864032 868000 871000 874510 897800 901418 902720 930496 933712 938000 945035 953312 961000 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17117670272 17255716000 17385133870 17516437120 17920061066 17945944640 18163572700 18498127552 18647306000 18722451860 18749494400 18787160795 19326401920 19393198240 19628376950 20232327010 20261550400 20758368800 20884982720 21211310575 21397087840 21687848000 21895546400 22355166400 22432430800 22704465875 23122659440 23249373056 23403064825 23436868000 24158002400 24241497800 24339187418 25124322496 25326938000 25947961000 26106228400 26302025113 26746359800 27150477536 27369433000 27816214192 27943958000 28040538500 28903324300 28945072000 29061716320 29835689600 29955922976 30059457272 30197503000 30301872250 31279352000 31405403120 31935952000 32371723216 32632785500 33432949750 33685456000 33938096920 34511432000 34770267740 35840122132 35891889280 36129155375 36327145400 36996255104 37294612000 37444903720 37574321590 38786396480 39256753900 40464654020 40523100800 41516737600 41769965440 42422621150 42794175680 43375696000 43462834675 43791092800 44710332800 44800152665 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121207489000 121695937090 125440427462 125621612480 129486892864 130531142000 131510125565 133731799000 135752387680 139081070960 143360488528 144516621500 145308581600 149178448000 149779614880 150297286360 157027015600 161858616080 169690484600 173851338700 179200610660 179459446400 181635727000 184981275520 187224518600 187871607950 193931982400 194713499344 196283769500 202323270100 202615504000 207583688000 208849827200 210416200904 212113105750 213970878400 217314173375 218955464000 222529713536 223551664000 224000763325 224324308000 231226594400 232960793858 234030648250 240475658176 241580024000 242414978000 243391874180 250880854924 251243224960 252904087625 258973785728 261062284000 263020251130 267463598000 271504775360 278162141920 286720977056 289033243000 290617163200 299559229760 300594572720 304239842725 313601068655 314054031200 323717232160 339380969200 347702677400 358401221320 363271454000 374449037200 375743215900 387863964800 389426998688 392567539000 404646540200 415167376000 420832401808 424226211500 427941756800 434628346750 437910928000 448001526650 448648616000 462453188800 465921587716 468061296500 469679019875 480951316352 483160048000 484829956000 486783748360 501761709848 505808175250 522124568000 526040502260 534927196000 543009550720 556324283840 573441954112 578066486000 581234326400 582401984645 599118459520 601189145440 608479685450 627202137310 628108062400 647434464320 657550627825 678761938400 695405354800 716802442640 726542908000 748898074400 751486431800 778853997376 785135078000 809293080400 815362778503 841664803616 848452423000 869256693500 896003053300 897297232000 924906377600 931843175432 936122593000 939358039750 969659912000 973567496720 1003523419696 1011616350500 1044249136000 1052081004520 1069854392000 1112648567680 1120003816625 1146883908224 1156132972000 1164803969290 1202378290880 1216959370900 1254404274620 1256216124800 1294868928640 1315101255650 1357523876800 1390810709600 1433604885280 1453085816000 1497796148800 1502972863600 1521199213625 1557707994752 1568005343275 1570270156000 1618586160800 1630725557006 1683329607232 1696904846000 1738513387000 1792006106600 1863686350864 1872245186000 1878716079500 1939319824000 1947134993440 2007046839392 2023232701000 2104162009040 2139708784000 2240007633250 2312265944000 2329607938580 2404756581760 2433918741800 2508808549240 2630202511300 2715047753600 2781621419200 2867209770560 2906171632000 2912009923225 2995592297600 3005945727200 3042398427250 3136010686550 3140540312000 3237172321600 3261451114012 3287753139125 3366659214464 3393809692000 3477026774000 3584012213200 3727372701728 3744490372000 3757432159000 3894269986880 4014093678784 4046465402000 4076813892515 4208324018080 4480015266500 4624531888000 4659215877160 4867837483600 5017617098480 5260405022600 5563242838400 5734419541120 5824019846450 6011891454400 6084796854500 6272021373100 6281080624000 6474344643200 6522902228024 6575506278250 6787619384000 6954053548000 7168024426400 7454745403456 7488980744000 7514864318000 7788539973760 7840026716375 8028187357568 8092930804000 8153627785030 8416648036160 8960030533000 9318431754320 9735674967200 10035234196960 10520810045200 11648039692900 12023782908800 12169593709000 12544042746200 13045804456048 13151012556500 13575238768000 13908107096000 14336048852800 14560049616125 14909490806912 14977961488000 15029728636000 15680053432750 16185861608000 16307255570060 16833296072320 17920061066000 18636863508640 19471349934400 20070468393920 20384069462575 21041620090400 23296079385800 24339187418000 25088085492400 26091608912096 26302025113000 27816214192000 28672097705600 29120099232250 30059457272000 31360106865500 32371723216000 32614511140120 35840122132000 37273727017280 38942699868800 40140936787840 40768138925150 42083240180800 46592158771600 48678374836000 50176170984800 52183217824192 52604050226000 58240198464500 60118914544000 62720213731000 65229022280240 71680244264000 74547454034560 81536277850300 84166480361600 93184317543200 97356749672000 100352341969600 101920347312875 104366435648384 105208100452000 116480396929000 125440427462000 130458044560480 143360488528000 163072555700600 186368635086400 194713499344000 200704683939200 203840694625750 210416200904000 232960793858000 250880854924000 260916089120960 326145111401200 372737270172800 407681389251500 420832401808000 465921587716000 501761709848000 521832178241920 652290222802400 815362778503000 931843175432000 1003523419696000 1304580445604800 1630725557006000 1863686350864000 2609160891209600 3261451114012000 6522902228024000 13045804456048000
- Sum of all divisors σ(n): 41875798899916800
- Sum of proper divisors (its aliquot sum) s(n): 28829994443868800
- 13045804456048000 is an abundant number, because the sum of its proper divisors (28829994443868800) is greater than itself. Its abundance is 15784189987820800
Bases of 13045804456048000
- Binary: 1011100101100100010111000011000110100101110101100000002
- Hexadecimal: 0x2E59170C697580
- Base-36: 3KGCNTWFWCG
Squares and roots of 13045804456048000
- 13045804456048000 squared (130458044560480002) is 170193013905441853163778304000000
- 13045804456048000 cubed (130458044560480003) is 2220304779195852555320377905071183982592000000000
-
The
square root of 13045804456048000 is 114218231.7147660975 -
The
cube root of 13045804456048000 is 235409.3030303521
Scales and comparisons
How big is 13045804456048000?- 13,045,804,456,048,000 seconds is equal to 414,816,228 years, 19 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 13,045,804,456,048,000 would take you about one billion, two hundred forty-four million, four hundred forty-eight thousand, six hundred eighty-five 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 13045804456048000 cubic inches would be around 19617.4 feet tall.
Recreational maths with 13045804456048000
- 13045804456048000 backwards is 00084065440854031
- 13045804456048000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13045804456048000's digits is 52
- More coming soon!
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The information we have on file for 13045804456048000 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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