13538038945064400
13,538,038,945,064,400 is an even composite number composed of six prime numbers multiplied together.
13538038945064400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 13538038945064400:
24 × 34 × 52 × 13 × 37 × 868691701
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 37 × 868691701)See below for interesting mathematical facts about the number 13538038945064400 from the Numbermatics database.
Names of 13538038945064400
- Cardinal: 13538038945064400 can be written as Thirteen quadrillion, five hundred thirty-eight trillion, thirty-eight billion, nine hundred forty-five million, sixty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.35380389450644 × 1016
Factors of 13538038945064400
Divisors of 13538038945064400
- Number of divisors d(n): 600
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 37 39 40 45 48 50 52 54 60 65 72 74 75 78 80 81 90 100 104 108 111 117 120 130 135 144 148 150 156 162 180 185 195 200 208 216 222 225 234 240 260 270 296 300 312 324 325 333 351 360 370 390 400 405 432 444 450 468 481 520 540 555 585 592 600 624 648 650 666 675 702 720 740 780 810 888 900 925 936 962 975 999 1040 1053 1080 1110 1170 1200 1296 1300 1332 1350 1404 1443 1480 1560 1620 1665 1755 1776 1800 1850 1872 1924 1950 1998 2025 2106 2160 2220 2340 2405 2600 2664 2700 2775 2808 2886 2925 2960 2997 3120 3240 3330 3510 3600 3700 3848 3900 3996 4050 4212 4329 4440 4680 4810 4995 5200 5265 5328 5400 5550 5616 5772 5850 5994 6480 6660 7020 7215 7400 7696 7800 7992 8100 8325 8424 8658 8775 8880 9360 9620 9990 10530 10800 11100 11544 11700 11988 12025 12987 13320 14040 14430 14800 14985 15600 15984 16200 16650 16848 17316 17550 19240 19980 21060 21645 22200 23088 23400 23976 24050 24975 25974 26325 26640 28080 28860 29970 32400 33300 34632 35100 36075 38480 38961 39960 42120 43290 44400 46800 47952 48100 49950 51948 52650 57720 59940 64935 66600 69264 70200 72150 74925 77922 79920 84240 86580 96200 99900 103896 105300 108225 115440 119880 129870 133200 140400 144300 149850 155844 173160 192400 194805 199800 207792 210600 216450 239760 259740 288600 299700 311688 324675 346320 389610 399600 421200 432900 519480 577200 599400 623376 649350 779220 865800 974025 1038960 1198800 1298700 1558440 1731600 1948050 2597400 3116880 3896100 5194800 7792200 15584400 868691701 1737383402 2606075103 3474766804 4343458505 5212150206 6949533608 7818225309 8686917010 10424300412 11292992113 13030375515 13899067216 15636450618 17373834020 20848600824 21717292525 22585984226 23454675927 26060751030 31272901236 32141592937 33878976339 34747668040 39091126545 41697201648 43434585050 45171968452 46909351854 52121502060 56464960565 62545802472 64283185874 65151877575 67757952678 69495336080 70364027781 78182253090 86869170100 90343936904 93818703708 96424778811 101636929017 104243004120 112929921130 117273379635 125091604944 128566371748 130303755150 135515905356 140728055562 156364506180 160707964685 169394881695 173738340200 180687873808 187637407416 192849557622 195455632725 203273858034 208486008240 225859842260 234546759270 257132743496 260607510300 271031810712 281456111124 282324802825 289274336433 304910787051 312729012360 321415929370 338789763390 347476680400 351820138905 375274814832 385699115244 390911265450 406547716068 417840708181 451719684520 469093518540 482123894055 508184645085 514265486992 521215020600 542063621424 562912222248 564649605650 578548672866 586366898175 609821574102 625458024720 642831858740 677579526780 703640277810 771398230488 781822530900 803539823425 813095432136 835681416362 846974408475 867823009299 903439369040 914732361153 938187037080 964247788110 1016369290170 1042430041200 1125824444496 1129299211300 1157097345732 1172733796350 1219643148204 1253522124543 1285663717480 1355159053560 1407280555620 1446371682165 1524553935255 1542796460976 1563645061800 1607079646850 1626190864272 1671362832724 1693948816950 1735646018598 1759100694525 1829464722306 1876374074160 1928495576220 2032738580340 2089203540905 2258598422600 2314194691464 2345467592700 2410619470275 2439286296408 2507044249086 2540923225425 2571327434960 2603469027897 2710318107120 2814561111240 2892743364330 3049107870510 3127290123600 3214159293700 3342725665448 3387897633900 3471292037196 3518201389050 3658929444612 3760566373629 3856991152440 4065477160680 4178407081810 4339115046495 4517196845200 4573661805765 4628389382928 4690935185400 4821238940550 4878572592816 5014088498172 5081846450850 5206938055794 5629122222480 5785486728660 6098215741020 6267610622715 6428318587400 6685451330896 6775795267800 6942584074392 7036402778100 7231858410825 7317858889224 7521132747258 7622769676275 7713982304880 8130954321360 8356814163620 8678230092990 9147323611530 9381870370800 9642477881100 10028176996344 10163692901700 10413876111588 10446017704525 11281699120887 11570973457320 12196431482040 12535221245430 12856637174800 13017345139485 13551590535600 13885168148784 14072805556200 14463716821650 14635717778448 15042265494516 15245539352550 16713628327240 17356460185980 18294647223060 18802831868145 19284955762200 20056353992688 20327385803400 20827752223176 20892035409050 21695575232475 22563398241774 22868309028825 23141946914640 24392862964080 25070442490860 26034690278970 28145611112400 28927433643300 30084530989032 30491078705100 31338053113575 33427256654480 33845097362661 34712920371960 36589294446120 37605663736290 38569911524400 40654771606800 41655504446352 41784070818100 43391150464950 45126796483548 45736618057650 50140884981720 52069380557940 56408495604435 57854867286600 60169061978064 60982157410200 62676106227150 65086725697425 67690194725322 69425840743920 73178588892240 75211327472580 83568141636200 86782300929900 90253592967096 91473236115300 94014159340725 100281769963440 104138761115880 112816991208870 115709734573200 121964314820400 125352212454300 130173451394850 135380389450644 150422654945160 167136283272400 169225486813305 173564601859800 180507185934192 182946472230600 188028318681450 208277522231760 225633982417740 250704424908600 260346902789700 270760778901288 282042478022175 300845309890320 338450973626610 347129203719600 365892944461200 376056637362900 451267964835480 501408849817200 520693805579400 541521557802576 564084956044350 676901947253220 752113274725800 846127434066525 902535929670960 1041387611158800 1128169912088700 1353803894506440 1504226549451600 1692254868133050 2256339824177400 2707607789012880 3384509736266100 4512679648354800 6769019472532200 13538038945064400
- Sum of all divisors σ(n): 53738564773739384
- Sum of proper divisors (its aliquot sum) s(n): 40200525828674984
- 13538038945064400 is an abundant number, because the sum of its proper divisors (40200525828674984) is greater than itself. Its abundance is 26662486883610584
Bases of 13538038945064400
- Binary: 1100000001100011000110010100100100011010100101110100002
- Hexadecimal: 0x3018C65246A5D0
- Base-36: 3PAU18E3100
Squares and roots of 13538038945064400
- 13538038945064400 squared (135380389450644002) is 183278498478080412441120147360000
- 13538038945064400 cubed (135380389450644003) is 2481231450189178987771535452945027072689984000000
-
The
square root of 13538038945064400 is 116353078.7949523921 -
The
cube root of 13538038945064400 is 238333.5890405891
Scales and comparisons
How big is 13538038945064400?- 13,538,038,945,064,400 seconds is equal to 430,467,762 years, 28 weeks, 3 days, 21 hours.
-
To count from 1 to 13,538,038,945,064,400 would take you about one billion, two hundred ninety-one million, four hundred three thousand, two hundred eighty-seven 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 13538038945064400 cubic inches would be around 19861.1 feet tall.
Recreational maths with 13538038945064400
- 13538038945064400 backwards is 00446054983083531
- The number of decimal digits it has is: 17
- The sum of 13538038945064400's digits is 63
- More coming soon!
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