137142607074563200
137,142,607,074,563,200 is an even composite number composed of six prime numbers multiplied together.
137142607074563200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137142607074563200:
27 × 52 × 11 × 19 × 432 × 105312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 19 × 43 × 43 × 10531 × 10531)See below for interesting mathematical facts about the number 137142607074563200 from the Numbermatics database.
Names of 137142607074563200
- Cardinal: 137142607074563200 can be written as One hundred thirty-seven quadrillion, one hundred forty-two trillion, six hundred seven billion, seventy-four million, five hundred sixty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.371426070745632 × 1017
Factors of 137142607074563200
Divisors of 137142607074563200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 43 44 50 55 64 76 80 86 88 95 100 110 128 152 160 172 176 190 200 209 215 220 275 304 320 344 352 380 400 418 430 440 473 475 550 608 640 688 704 760 800 817 836 860 880 946 950 1045 1075 1100 1216 1376 1408 1520 1600 1634 1672 1720 1760 1849 1892 1900 2090 2150 2200 2365 2432 2752 3040 3200 3268 3344 3440 3520 3698 3784 3800 4085 4180 4300 4400 4730 5225 5504 6080 6536 6688 6880 7040 7396 7568 7600 8170 8360 8600 8800 8987 9245 9460 10450 10531 11825 12160 13072 13376 13760 14792 15136 15200 16340 16720 17200 17600 17974 18490 18920 20339 20425 20900 21062 23650 26144 26752 27520 29584 30272 30400 32680 33440 34400 35131 35200 35948 36980 37840 40678 40850 41800 42124 44935 46225 47300 52288 52655 59168 60544 60800 65360 66880 68800 70262 71896 73960 75680 81356 81700 83600 84248 89870 92450 94600 101695 104576 105310 115841 118336 130720 133760 137600 140524 143792 147920 151360 162712 163400 167200 168496 175655 179740 184900 189200 200089 203390 210620 224675 231682 236672 261440 263275 281048 287584 295840 302720 325424 326800 334400 336992 351310 359480 369800 378400 386441 400178 406780 421240 449350 452833 463364 508475 522880 526550 562096 575168 579205 591680 650848 653600 668800 673984 702620 718960 739600 756800 772882 800356 813560 842480 878275 898700 905666 926728 1000445 1016950 1053100 1124192 1150336 1158410 1183360 1301696 1307200 1347968 1405240 1437920 1479200 1513600 1545764 1600712 1627120 1684960 1756550 1797400 1811332 1853456 1932205 2000890 2033900 2106200 2200979 2248384 2264165 2316820 2603392 2614400 2810480 2875840 2896025 2958400 3091528 3201424 3254240 3369920 3513100 3594800 3622664 3706912 3864410 4001780 4067800 4212400 4401958 4496768 4528330 4633640 4981163 5002225 5620960 5751680 5792050 5916800 6183056 6402848 6508480 6739840 7026200 7189600 7245328 7413824 7728820 8003560 8135600 8424800 8603827 8803916 9056660 9267280 9661025 9962326 10004450 11004895 11241920 11320825 11584100 12366112 12805696 13016960 14052400 14379200 14490656 14827648 15457640 16007120 16271200 16849600 17207654 17607832 18113320 18534560 19322050 19471819 19924652 20008900 22009790 22483840 22641650 23168200 24732224 24905815 25611392 28104800 28758400 28981312 30915280 32014240 32542400 33699200 34415308 35215664 36226640 37069120 38644100 38943638 39849304 40017800 43019135 44019580 45283300 46336400 49464448 49811630 55024475 56209600 57962624 61830560 64028480 65084800 68830616 70431328 72453280 74138240 77288200 77887276 79698608 80035600 86038270 88039160 90566600 92672800 94642097 97359095 99623260 110048950 110901961 112419200 123661120 124529075 128056960 137661232 140862656 144906560 154576400 155774552 159397216 160071200 172076540 176078320 181133200 185345600 189284194 194718190 199246520 214190009 215095675 220097900 221803922 247322240 249058150 275322464 281725312 289813120 309152800 311549104 318794432 320142400 344153080 352156640 362266400 369964561 370691200 378568388 389436380 398493040 428380018 430191350 440195800 443607844 473210485 486795475 498116300 550644928 554509805 618305600 623098208 637588864 640284800 688306160 704313280 724532800 739929122 757136776 778872760 796986080 856760036 860382700 880391600 887215688 946420970 973590950 996232600 1070950045 1101289856 1109019610 1219921571 1236611200 1246196416 1376612320 1408626560 1449065600 1479858244 1514273552 1557745520 1593972160 1713520072 1720765400 1760783200 1774431376 1849822805 1892841940 1947181900 1992465200 2107137259 2141900090 2218039220 2366052425 2439843142 2492392832 2753224640 2772549025 2959716488 3028547104 3115491040 3187944320 3427040144 3441530800 3521566400 3548862752 3699645610 3785683880 3894363800 3984930400 4069610171 4214274518 4283800180 4436078440 4732104850 4768784323 4879686284 5354750225 5506449280 5545098050 5919432976 6057094208 6099607855 6230982080 6854080288 6883061600 7043132800 7097725504 7399291220 7571367760 7788727600 7969860800 8139220342 8428549036 8567600360 8872156880 9249114025 9464209700 9537568646 9759372568 10535686295 10709500450 11090196100 11838865952 12114188416 12199215710 12461964160 13708160576 13766123200 14195451008 14798582440 15142735520 15577455200 15939721600 16278440684 16857098072 17135200720 17744313760 18498228050 18928419400 19075137292 19518745136 20348050855 21071372590 21419000900 22180392200 23178509849 23677731904 23843921615 24398431420 27416321152 27532246400 29597164880 30285471040 30498039275 31154910400 32556881368 33714196144 34270401440 35488627520 36996456100 37856838800 38150274584 39037490272 40696101710 42142745180 42838001800 44360784400 46357019698 47355463808 47687843230 48796862840 52456627553 52678431475 59194329760 60570942080 60996078550 62309820800 65113762736 67428392288 68540802880 70977255040 73992912200 75713677600 76300549168 78074980544 81392203420 84285490360 85676003600 88721568800 90606902137 92714039396 95375686460 97593725680 101740254275 104913255106 105356862950 115892549245 118388659520 119219608075 121992157100 130227525472 134856784576 137081605760 147985824400 151427355200 152601098336 156149961088 162784406840 168570980720 171352007200 177443137600 181213804274 185428078792 190751372920 195187451360 203480508550 205057725889 209826510212 210713725900 231785098490 236777319040 238439216150 243984314200 260455050944 262283137765 269713569152 295971648800 302854710400 305202196672 325568813680 337141961440 342704014400 354886275200 362427608548 370856157584 381502745840 390374902720 406961017100 410115451778 419653020424 421427451800 453034510685 463570196980 476878432300 487968628400 520910101888 524566275530 579462746225 591943297600 610404393344 651137627360 674283922880 685408028800 724855217096 741712315168 763005491680 780749805440 813922034200 820230903556 839306040848 842854903600 906069021370 927140393960 953756864600 975937256800 996675923507 1025288629445 1049132551060 1158925492450 1183886595200 1302275254720 1311415688825 1348567845760 1449710434192 1483424630336 1526010983360 1627844068400 1640461807112 1678612081696 1685709807200 1812138042740 1854280787920 1907513729200 1951874513600 1993351847014 2050577258890 2098265102120 2255634984779 2265172553425 2317850984900 2604550509440 2622831377650 2899420868384 2966849260672 3052021966720 3255688136800 3280923614224 3357224163392 3371419614400 3624276085480 3708561575840 3815027458400 3896096791891 3903749027200 3986703694028 4101154517780 4196530204240 4511269969558 4530345106850 4635701969800 4983379617535 5126443147225 5245662755300 5798841736768 6511376273600 6561847228448 6714448326784 6742839228800 7248552170960 7417123151680 7630054916800 7792193583782 7973407388056 8202309035560 8393060408480 9022539939116 9060690213700 9271403939600 9966759235070 10252886294450 10491325510600 11278174923895 11597683473536 13022752547200 13123694456896 14497104341920 14834246303360 15260109833600 15584387167564 15946814776112 16404618071120 16786120816960 18045079878232 18121380427400 18542807879200 19480483959455 19933518470140 20505772588900 20982651021200 22556349847790 24916898087675 26247388913792 28994208683840 31168774335128 31893629552224 32809236142240 33572241633920 36090159756464 36242760854800 37085615758400 38960967918910 39867036940280 41011545177800 41965302042400 42857064710801 45112699695580 49833796175350 56390874619475 57988417367680 62337548670256 63787259104448 65618472284480 72180319512928 72485521709600 74171231516800 77921935837820 79734073880560 82023090355600 83930604084800 85714129421602 90225399391160 97402419797275 99667592350700 112781749238950 124675097340512 127574518208896 131236944568960 144360639025856 144971043419200 155843871675640 159468147761120 164046180711200 167861208169600 171428258843204 180450798782320 194804839594550 199335184701400 214285323554005 225563498477900 249350194681024 288721278051712 289942086838400 311687743351280 318936295522240 328092361422400 342856517686408 360901597564640 389609679189100 398670369402800 428570647108010 451126996955800 498700389362048 623375486702560 637872591044480 656184722844800 685713035372816 721803195129280 779219358378200 797340738805600 857141294216020 902253993911600 1071426617770025 1246750973405120 1371426070745632 1443606390258560 1558438716756400 1594681477611200 1714282588432040 1804507987823200 2142853235540050 2493501946810240 2742852141491264 3116877433512800 3189362955222400 3428565176864080 3609015975646400 4285706471080100 5485704282982528 6233754867025600 6857130353728160 7218031951292800 8571412942160200 12467509734051200 13714260707456320 17142825884320400 27428521414912640 34285651768640800 68571303537281600 137142607074563200
- Sum of all divisors σ(n): 398331082995202800
- Sum of proper divisors (its aliquot sum) s(n): 261188475920639600
- 137142607074563200 is an abundant number, because the sum of its proper divisors (261188475920639600) is greater than itself. Its abundance is 124045868846076400
Bases of 137142607074563200
- Binary: 1111001110011101001111001011110100100000000010100100000002
- Hexadecimal: 0x1E73A797A401480
- Base-36: 11ICZVXJ0FB4
Squares and roots of 137142607074563200
- 137142607074563200 squared (1371426070745632002) is 18808094675208032274084470794240000
- 137142607074563200 cubed (1371426070745632003) is 2579391137863239538294554414996449396405075968000000
-
The
square root of 137142607074563200 is 370327702.2780812707 -
The
cube root of 137142607074563200 is 515692.4823149303
Scales and comparisons
How big is 137142607074563200?- 137,142,607,074,563,200 seconds is equal to 4,360,710,695 years, 1 week, 5 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 137,142,607,074,563,200 would take you about thirteen billion, eighty-two million, one hundred thirty-two thousand and 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 137142607074563200 cubic inches would be around 42974.4 feet tall.
Recreational maths with 137142607074563200
- 137142607074563200 backwards is 002365470706241731
- The number of decimal digits it has is: 18
- The sum of 137142607074563200's digits is 58
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137142607074563200 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 137142607074563200 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/137142607074563200/
Chicago style:
Numbermatics. 2024. "Number 137142607074563200 - Facts about the integer". https://numbermatics.com/n/137142607074563200/
The information we have on file for 137142607074563200 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!
Keywords: Divisors of 137142607074563200, math, Factors of 137142607074563200, curriculum, school, college, exams, university, Prime factorization of 137142607074563200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred forty-two trillion, six hundred seven billion, seventy-four million, five hundred sixty-three thousand, two hundred.