138805075180800
138,805,075,180,800 is an even composite number composed of eight prime numbers multiplied together.
138805075180800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138805075180800:
28 × 33 × 52 × 7 × 17 × 37 × 241 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 37 × 241 × 757)See below for interesting mathematical facts about the number 138805075180800 from the Numbermatics database.
Names of 138805075180800
- Cardinal: 138805075180800 can be written as One hundred thirty-eight trillion, eight hundred five billion, seventy-five million, one hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.388050751808 × 1014
Factors of 138805075180800
Divisors of 138805075180800
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 37 40 42 45 48 50 51 54 56 60 63 64 68 70 72 74 75 80 84 85 90 96 100 102 105 108 111 112 119 120 126 128 135 136 140 144 148 150 153 160 168 170 175 180 185 189 192 200 204 210 216 222 224 225 238 240 241 252 255 256 259 270 272 280 288 296 300 306 315 320 333 336 340 350 357 360 370 378 384 400 408 420 425 432 444 448 450 459 476 480 482 504 510 518 525 540 544 555 560 576 592 595 600 612 629 630 640 666 672 675 680 700 714 720 723 740 756 757 765 768 777 800 816 840 850 864 888 896 900 918 925 945 952 960 964 999 1008 1020 1036 1050 1071 1080 1088 1110 1120 1152 1184 1190 1200 1205 1224 1258 1260 1275 1280 1295 1332 1344 1350 1360 1400 1428 1440 1446 1480 1512 1514 1530 1554 1575 1600 1632 1665 1680 1687 1700 1728 1776 1785 1792 1800 1836 1850 1887 1890 1904 1920 1928 1998 2016 2040 2072 2100 2142 2160 2169 2176 2220 2240 2271 2295 2304 2331 2368 2380 2400 2410 2448 2516 2520 2550 2590 2664 2688 2700 2720 2775 2800 2856 2880 2892 2960 2975 3024 3028 3060 3108 3145 3150 3200 3213 3264 3330 3360 3374 3400 3456 3552 3570 3600 3615 3672 3700 3774 3780 3785 3808 3825 3840 3856 3885 3996 4032 4080 4097 4144 4200 4284 4320 4338 4352 4403 4440 4480 4542 4590 4662 4725 4736 4760 4800 4820 4896 4995 5032 5040 5061 5100 5180 5299 5328 5355 5376 5400 5440 5550 5600 5661 5712 5760 5784 5920 5950 6025 6048 6056 6120 6216 6290 6300 6400 6426 6475 6507 6528 6660 6720 6748 6800 6813 6912 6993 7104 7140 7200 7230 7344 7400 7548 7560 7570 7616 7650 7712 7770 7992 8064 8160 8194 8288 8325 8400 8435 8568 8640 8676 8806 8880 8917 8925 8960 9084 9180 9324 9435 9450 9472 9520 9600 9640 9792 9990 10064 10080 10122 10200 10360 10598 10656 10710 10800 10845 10880 11100 11200 11322 11355 11424 11475 11520 11568 11655 11840 11900 12050 12096 12112 12240 12291 12432 12580 12600 12852 12869 12950 13014 13056 13209 13320 13440 13496 13600 13626 13986 14208 14280 14400 14460 14688 14800 15096 15120 15140 15183 15232 15300 15424 15540 15725 15897 15984 16065 16128 16320 16388 16576 16650 16800 16870 16983 17136 17280 17352 17612 17760 17834 17850 18075 18168 18360 18648 18870 18900 18925 19040 19200 19280 19425 19584 19980 20128 20160 20244 20400 20439 20485 20720 21196 21312 21420 21600 21690 21760 22015 22200 22400 22644 22710 22848 22950 23136 23310 23680 23800 24100 24192 24224 24480 24582 24864 24975 25160 25200 25305 25704 25738 25900 26028 26418 26495 26640 26751 26775 26880 26992 27200 27252 27972 28009 28305 28416 28560 28679 28800 28920 29376 29600 30192 30240 30280 30366 30464 30600 30848 31080 31450 31794 31968 32130 32535 32640 32776 33152 33300 33600 33740 33966 34065 34272 34560 34704 34965 35224 35520 35668 35700 36150 36336 36720 36873 37296 37740 37800 37850 38080 38560 38607 38850 39168 39627 39960 40256 40320 40488 40800 40878 40970 41440 42175 42392 42624 42840 43200 43380 44030 44400 44585 44800 45288 45420 45549 45696 45900 46272 46620 47175 47360 47600 47691 48200 48384 48448 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7881278400 7999370400 8032701110 8100202800 8173177600 8227923840 8262206856 8336641152 8373858300 8469921600 8505212940 8606465475 8640216320 8684001200 8731526400 8827031808 8932115520 8999291700 9072227136 9112728150 9142137600 9168102720 9180229840 9194824800 9378721296 9450236600 9599244480 9639241332 9720243360 9769501350 9924572800 10186780800 10206255528 10284904800 10327758570 10420801440 10508371200 10631516175 10665827200 10718538624 10786003200 10800270400 11016275808 11033789760 11165144400 11293228800 11340283920 11460128400 11475287300 11519093376 11664292032 11723401620 11909487360 11999055600 12049051665 12096302848 12150304200 12224136960 12259766400 12393310284 12504961728 12757819410 12798992640 12852321776 12960324480 13026001800 13097289600 13398173280 13608340704 13713206400 13770344760 13792237200 13894401920 14175354900 14398866720 14458861998 14580365040 14654252025 14688367744 14711719680 14886859200 15120378560 15280171200 15491637855 15552389376 15566342400 15631202160 15762556800 15998740800 16065402220 16200405600 16455847680 16524413712 16673282304 16747716600 16939843200 17010425880 17212930950 17368002400 17864231040 17998583400 18144454272 18225456300 18336205440 18360459680 18389649600 18757442592 18900473200 19198488960 19278482664 19440486720 19539002700 19849145600 20081752775 20373561600 20412511056 20569809600 20655517140 20841602880 21263032350 21331654400 21437077248 21600540800 21688292997 22032551616 22067579520 22330288800 22680567840 22920256800 22950574600 23038186752 23328584064 23446803240 23998111200 24098103330 24300608400 24519532800 24786620568 25009923456 25515638820 25704643552 25819396425 25920648960 26052003600 26194579200 26796346560 27216681408 27426412800 27540689520 27584474400 27788803840 28350709800 28797733440 28917723996 29160730080 29308504050 29376735488 29773718400 30240757120 30560342400 30983275710 31262404320 31525113600 31894548525 31997481600 32130804440 32400811200 33048827424 33495433200 33879686400 34020851760 34425861900 34736004800 35728462080 35997166800 36147154995 36288908544 36450912600 36672410880 36720919360 36779299200 37514885184 37800946400 38396977920 38556965328 38880973440 39078005400 40163505550 40825022112 41139619200 41311034280 41683205760 42526064700 43201081600 43376585994 44065103232 44135159040 44660577600 45361135680 45840513600 45901149200 46657168128 46893606480 47996222400 48196206660 48601216800 49573241136 50019846912 51031277640 51409287104 51638792850 52104007200 53592693120 54433362816 55081379040 55168948800 56701419600 57595466880 57835447992 58321460160 58617008100 59547436800 60245258325 60481514240 61120684800 61966551420 62524808640 63789097050 63994963200 64261608880 64801622400 66097654848 66990866400 68041703520 68851723800 69472009600 71994333600 72294309990 72901825200 73441838720 73558598400 75029770368 75601892800 77113930656 77458189275 77761946880 78156010800 80327011100 81650044224 82279238400 82622068560 83366411520 85052129400 86753171988 88130206464 89321155200 90722271360 91681027200 91802298400 93787212960 95992444800 96392413320 97202433600 99146482272 102062555280 102818574208 103277585700 104208014400 107185386240 108441464985 108866725632 110162758080 110337897600 113402839200 115190933760 115670895984 116642920320 117234016200 120490516650 123933102840 125049617280 127578194100 128523217760 129603244800 132195309696 133981732800 136083407040 137703447600 138944019200 143988667200 144588619980 145803650400 146883677440 150059540736 151203785600 154227861312 154916378550 156312021600 160654022200 163300088448 165244137120 170104258800 173506343976 178642310400 180735774975 181444542720 183362054400 183604596800 187574425920 191984889600 192784826640 194404867200 198292964544 204125110560 205637148416 206555171400 208416028800 216882929970 220325516160 220675795200 226805678400 231341791968 233285840640 234468032400 240981033300 247866205680 250099234560 255156388200 257046435520 264390619392 267963465600 272166814080 275406895200 287977334400 289177239960 291607300800 302407571200 308455722624 309832757100 312624043200 321308044400 326600176896 330488274240 340208517600 347012687952 361471549950 367209193600 375148851840 385569653280 388809734400 396585929088 408250221120 413110342800 416832057600 433765859940 440651032320 453611356800 462683583936 468936064800 481962066600 495732411360 510312776400 514092871040 535926931200 542207324925 544333628160 550813790400 575954668800 578354479920 583214601600 616911445248 619665514200 625248086400 642616088800 660976548480 680417035200 694025375904 722943099900 734418387200 750297703680 771139306560 793171858176 816500442240 826220685600 867531719880 907222713600 925367167872 937872129600 963924133200 991464822720 1020625552800 1028185742080 1084414649850 1101627580800 1156708959840 1166429203200 1239331028400 1250496172800 1285232177600 1321953096960 1360834070400 1388050751808 1445886199800 1542278613120 1633000884480 1652441371200 1735063439760 1850734335744 1875744259200 1927848266400 1982929645440 2041251105600 2168829299700 2203255161600 2313417919680 2478662056800 2570464355200 2721668140800 2776101503616 2891772399600 3084557226240 3304882742400 3470126879520 3751488518400 3855696532800 3965859290880 4082502211200 4337658599400 4626835839360 4957324113600 5140928710400 5552203007232 5783544799200 6609765484800 6940253759040 7711393065600 8165004422400 8675317198800 9253671678720 9914648227200 11567089598400 13880507518080 15422786131200 17350634397600 19829296454400 23134179196800 27761015036160 34701268795200 46268358393600 69402537590400 138805075180800
- Sum of all divisors σ(n): 636023621882880
- Sum of proper divisors (its aliquot sum) s(n): 497218546702080
- 138805075180800 is an abundant number, because the sum of its proper divisors (497218546702080) is greater than itself. Its abundance is 358413471521280
Bases of 138805075180800
- Binary: 111111000111110000100110011001011111101000000002
- Hexadecimal: 0x7E3E1332FD00
- Base-36: 1D7A65X6O0
Squares and roots of 138805075180800
- 138805075180800 squared (1388050751808002) is 19266848895947540152688640000
- 138805075180800 cubed (1388050751808003) is 2674336409499111787346773386454106112000000
-
The
square root of 138805075180800 is 11781556.5686712213 -
The
cube root of 138805075180800 is 51776.7891892935
Scales and comparisons
How big is 138805075180800?- 138,805,075,180,800 seconds is equal to 4,413,572 years, 2 weeks.
-
To count from 1 to 138,805,075,180,800 would take you about eleven million, thirty-three thousand, nine hundred thirty 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 138805075180800 cubic inches would be around 4314.7 feet tall.
Recreational maths with 138805075180800
- 138805075180800 backwards is 008081570508831
- 138805075180800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138805075180800's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138805075180800 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 138805075180800 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138805075180800/
Chicago style:
Numbermatics. 2024. "Number 138805075180800 - Facts about the integer". https://numbermatics.com/n/138805075180800/
The information we have on file for 138805075180800 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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