13742817139935000
13,742,817,139,935,000 is an even composite number composed of five prime numbers multiplied together.
13742817139935000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 13742817139935000:
23 × 313 × 54 × 132 × 1012
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 101 × 101)See below for interesting mathematical facts about the number 13742817139935000 from the Numbermatics database.
Names of 13742817139935000
- Cardinal: 13742817139935000 can be written as Thirteen quadrillion, seven hundred forty-two trillion, eight hundred seventeen billion, one hundred thirty-nine million, nine hundred thirty-five thousand.
Scientific notation
- Scientific notation: 1.3742817139935 × 1016
Factors of 13742817139935000
Divisors of 13742817139935000
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 54 60 65 72 75 78 81 90 100 101 104 108 117 120 125 130 135 150 156 162 169 180 195 200 202 216 225 234 243 250 260 270 300 303 312 324 325 338 351 360 375 390 404 405 450 468 486 500 505 507 520 540 585 600 606 625 648 650 675 676 702 729 750 780 808 810 845 900 909 936 972 975 1000 1010 1014 1053 1080 1125 1170 1212 1215 1250 1300 1313 1350 1352 1404 1458 1500 1515 1521 1560 1620 1625 1690 1755 1800 1818 1875 1944 1950 2020 2025 2028 2106 2187 2250 2340 2424 2430 2500 2525 2535 2600 2626 2700 2727 2808 2916 2925 3000 3030 3042 3159 3240 3250 3375 3380 3510 3636 3645 3750 3900 3939 4040 4050 4056 4212 4225 4374 4500 4545 4563 4680 4860 4875 5000 5050 5070 5252 5265 5400 5454 5625 5832 5850 6060 6075 6084 6318 6500 6561 6565 6750 6760 7020 7272 7290 7500 7575 7605 7800 7878 8100 8125 8181 8424 8450 8748 8775 9000 9090 9126 9477 9720 9750 10100 10125 10140 10201 10504 10530 10908 10935 11250 11700 11817 12120 12150 12168 12625 12636 12675 13000 13122 13130 13500 13635 13689 14040 14580 14625 15000 15150 15210 15756 15795 16200 16250 16362 16875 16900 17069 17496 17550 18180 18225 18252 18954 19500 19683 19695 20200 20250 20280 20402 21060 21125 21816 21870 22500 22725 22815 23400 23634 24300 24375 24543 25250 25272 25350 26244 26260 26325 27000 27270 27378 28431 29160 29250 30300 30375 30420 30603 31512 31590 32500 32724 32805 32825 33750 33800 34138 35100 35451 36360 36450 36504 37875 37908 38025 39000 39366 39390 40500 40804 40905 41067 42120 42250 43740 43875 45000 45450 45630 47268 47385 48600 48750 49086 50500 50625 50700 51005 51207 52488 52520 52650 54540 54675 54756 56862 58500 59049 59085 60600 60750 60840 61206 63125 63180 63375 65000 65448 65610 65650 67500 68175 68276 68445 70200 70902 72900 73125 73629 75750 75816 76050 78732 78780 78975 81000 81608 81810 82134 84500 85293 85345 87480 87750 90900 91125 91260 91809 94536 94770 97500 98172 98415 98475 101000 101250 101400 102010 102414 105300 105625 106353 109080 109350 109512 113625 113724 114075 117000 118098 118170 121500 122412 122715 123201 126250 126360 126750 131220 131300 131625 132613 135000 136350 136552 136890 141804 142155 145800 146250 147258 151500 151875 152100 153015 153621 157464 157560 157950 163620 164025 164125 164268 169000 170586 170690 175500 177147 177255 181800 182250 182520 183618 189375 189540 190125 195000 196344 196830 196950 202500 204020 204525 204828 205335 210600 211250 212706 218700 219375 220887 227250 227448 228150 236196 236340 236925 243000 244824 245430 246402 252500 253500 255025 255879 256035 262440 262600 263250 265226 272700 273375 273780 275427 283608 284310 292500 294516 295245 295425 303000 303750 304200 306030 307242 315900 316875 319059 327240 328050 328250 328536 340875 341172 341380 342225 351000 354294 354510 364500 367236 368145 369603 378750 379080 380250 393660 393900 394875 397839 405000 408040 409050 409656 410670 422500 425412 426465 426725 437400 438750 441774 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451769136750 452438424360 453558321450 469839902220 471290025375 483374385000 501965707500 503953690500 508993227405 522044335800 523336524750 523655583750 542122964100 543796183125 544269985740 559948545000 563807882664 565548030450 581485027500 587299877775 602358849000 604744428600 610791872886 628386700500 629942113125 650547556920 652555419750 673601467500 677653705125 678657636540 680337482175 697782033000 698207445000 704759853330 725061577500 752948561250 754064040600 755930535750 783066503700 785483375625 805133115000 813184446150 814389163848 839922817500 845711823996 848322045675 870073893000 872227541250 903538273500 907116642900 916187809329 939679804440 942580050750 978833129625 1003931415000 1007907381000 1017986454810 1046673049500 1047311167500 1057139779995 1084245928200 1087592366250 1088539971480 1129422841875 1131096060900 1133895803625 1162970055000 1174599755550 1221583745772 1256773401000 1259884226250 1305110839500 1308341311875 1347202935000 1355307410250 1357315273080 1360674964350 1409519706660 1413870076125 1450123155000 1505897122500 1511861071500 1526979682215 1566133007400 1570966751250 1626368892300 1631388549375 1679845635000 1691423647992 1696644091350 1744455082500 1761899633325 1807076547000 1814233285800 1832375618658 1885160101500 1889826339375 1957666259250 2032961115375 2035972909620 2093346099000 2094622335000 2114279559990 2175184732500 2258845683750 2262192121800 2267791607250 2349199511100 2356450126875 2443167491544 2519768452500 2544966137025 2610221679000 2616682623750 2710614820500 2721349928700 2748563427987 2819039413320 2827740152250 2936499388875 3011794245000 3023722143000 3053959364430 3141933502500 3252737784600 3262777098750 3388268525625 3393288182700 3401687410875 3488910165000 3523799266650 3664751237316 3770320203000 3779652678750 3915332518500 4065922230750 4071945819240 4228559119980 4241610228375 4350369465000 4517691367500 4535583214500 4580939046645 4698399022200 4712900253750 4894165648125 5039536905000 5089932274050 5233365247500 5285698899975 5421229641000 5442699857400 5497126855974 5655480304500 5669479018125 5872998777750 6107918728860 6283867005000 6525554197500 6776537051250 6786576365400 6803374821750 7047598533300 7069350380625 7329502474632 7559305357500 7634898411075 7830665037000 8131844461500 8457118239960 8483220456750 8809498166625 9035382735000 9071166429000 9161878093290 9425800507500 9788331296250 10164805576875 10179864548100 10466730495000 10571397799950 10994253711948 11310960609000 11338958036250 11745997555500 12215837457720 12724830685125 13051108395000 13553074102500 13606749643500 13742817139935 14095197066600 14138700761250 14682496944375 15118610715000 15269796822150 16263688923000 16966440913500 17008437054375 17618996333250 18323756186580 18851601015000 19576662592500 20329611153750 20359729096200 21142795599900 21208051141875 21988507423896 22677916072500 22904695233225 23491995111000 25449661370250 26428494499875 27106148205000 27213499287000 27485634279870 28277401522500 29364993888750 30539593644300 33932881827000 34016874108750 35237992666500 36647512373160 38174492055375 39153325185000 40659222307500 42285591199800 42416102283750 44047490833125 45355832145000 45809390466450 50899322740500 52856988999750 54971268559740 56554803045000 58729987777500 61079187288600 63624153425625 68033748217500 68714085699675 70475985333000 76348984110750 81318444615000 84832204567500 88094981666250 91618780932900 101798645481000 105713977999500 109942537119480 114523476166125 117459975555000 127248306851250 132142472499375 136067496435000 137428171399350 152697968221500 169664409135000 176189963332500 183237561865800 190872460276875 211427955999000 229046952332250 254496613702500 264284944998750 274856342798700 305395936443000 343570428498375 352379926665000 381744920553750 458093904664500 508993227405000 528569889997500 549712685597400 572617380830625 687140856996750 763489841107500 916187809329000 1057139779995000 1145234761661250 1374281713993500 1526979682215000 1717852142491875 2290469523322500 2748563427987000 3435704284983750 4580939046645000 6871408569967500 13742817139935000
- Sum of all divisors σ(n): 52823182377641940
- Sum of proper divisors (its aliquot sum) s(n): 39080365237706940
- 13742817139935000 is an abundant number, because the sum of its proper divisors (39080365237706940) is greater than itself. Its abundance is 25337548097771940
Bases of 13742817139935000
- Binary: 1100001101001100000100111101011101011011000111000110002
- Hexadecimal: 0x30D304F5D6C718
- Base-36: 3RBF71C3DI0
Squares and roots of 13742817139935000
- 13742817139935000 squared (137428171399350002) is 188865022941691213371804225000000
- 13742817139935000 cubed (137428171399350003) is 2595537474417291001222218367185249225375000000000
-
The
square root of 13742817139935000 is 117229762.1763987031 -
The
cube root of 13742817139935000 is 239529.2691040981
Scales and comparisons
How big is 13742817139935000?- 13,742,817,139,935,000 seconds is equal to 436,979,075 years, 37 weeks, 5 days, 1 hour, 30 minutes.
-
To count from 1 to 13,742,817,139,935,000 would take you about one billion, three hundred ten million, nine hundred thirty-seven thousand, two hundred twenty-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 13742817139935000 cubic inches would be around 19960.8 feet tall.
Recreational maths with 13742817139935000
- 13742817139935000 backwards is 00053993171824731
- The number of decimal digits it has is: 17
- The sum of 13742817139935000's digits is 63
- More coming soon!
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"Number 13742817139935000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 13742817139935000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/13742817139935000/
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The information we have on file for 13742817139935000 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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