138389706003404800
138,389,706,003,404,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138389706003404800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138389706003404800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138389706003404800:
211 × 52 × 72 × 191 × 6613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 191 × 661 × 661 × 661)See below for interesting mathematical facts about the number 138389706003404800 from the Numbermatics database.
Names of 138389706003404800
- Cardinal: 138389706003404800 can be written as One hundred thirty-eight quadrillion, three hundred eighty-nine trillion, seven hundred six billion, three million, four hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383897060034048 × 1017
Factors of 138389706003404800
Divisors of 138389706003404800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 191 196 200 224 245 256 280 320 350 382 392 400 448 490 512 560 640 661 700 764 784 800 896 955 980 1024 1120 1225 1280 1322 1337 1400 1528 1568 1600 1792 1910 1960 2048 2240 2450 2560 2644 2674 2800 3056 3136 3200 3305 3584 3820 3920 4480 4627 4775 4900 5120 5288 5348 5600 6112 6272 6400 6610 6685 7168 7640 7840 8960 9254 9359 9550 9800 10240 10576 10696 11200 12224 12544 12800 13220 13370 14336 15280 15680 16525 17920 18508 18718 19100 19600 21152 21392 22400 23135 24448 25088 25600 26440 26740 30560 31360 32389 33050 33425 35840 37016 37436 38200 39200 42304 42784 44800 46270 46795 48896 50176 51200 52880 53480 61120 62720 64778 66100 66850 71680 74032 74872 76400 78400 84608 85568 89600 92540 93590 97792 100352 105760 106960 115675 122240 125440 126251 129556 132200 133700 148064 149744 152800 156800 161945 169216 171136 179200 185080 187180 195584 211520 213920 231350 233975 244480 250880 252502 259112 264400 267400 296128 299488 305600 313600 323890 338432 342272 358400 370160 374360 391168 423040 427840 436921 462700 467950 488960 501760 505004 518224 528800 534800 592256 598976 611200 627200 631255 647780 676864 684544 740320 748720 809725 846080 855680 873842 883757 925400 935900 977920 1010008 1036448 1057600 1069600 1184512 1197952 1222400 1254400 1262510 1295560 1353728 1369088 1480640 1497440 1619450 1692160 1711360 1747684 1767514 1850800 1871800 1955840 2020016 2072896 2115200 2139200 2184605 2369024 2395904 2444800 2508800 2525020 2591120 2738176 2961280 2994880 3058447 3156275 3238900 3384320 3422720 3495368 3535028 3701600 3743600 4040032 4145792 4230400 4278400 4369210 4418785 4738048 4791808 4889600 5050040 5182240 5922560 5989760 6116894 6186299 6312550 6477800 6768640 6845440 6990736 7070056 7403200 7487200 8080064 8291584 8460800 8556800 8738420 8837570 9476096 9583616 9779200 10100080 10364480 10923025 11845120 11979520 12233788 12372598 12625100 12955600 13690880 13981472 14140112 14806400 14974400 15292235 16160128 16583168 16921600 17113600 17476840 17675140 19167232 20200160 20728960 21409129 21846050 22093925 23690240 23959040 24467576 24745196 25250200 25911200 27962944 28280224 29612800 29948800 30584470 30931495 32320256 33166336 33843200 34227200 34953680 35350280 40400320 41457920 42818258 43692100 44187850 47380480 47918080 48935152 49490392 50500400 51822400 55925888 56560448 59225600 59897600 61168940 61862990 64640512 66332672 68454400 69907360 70700560 76461175 80800640 82915840 83451911 85636516 87384200 88375700 95836160 97870304 98980784 101000800 103644800 107045645 111851776 113120896 118451200 119795200 122337880 123725980 129281024 139814720 141401120 152922350 154657475 161601280 165831680 166903822 171273032 174768400 176751400 195740608 197961568 202001600 207289600 214091290 223703552 226241792 236902400 239590400 244675760 247451960 258562048 279629440 282802240 288804781 305844700 309314950 323202560 331663360 333807644 342546064 349536800 353502800 391481216 395923136 404003200 414579200 417259555 428182580 447407104 452483584 479180800 489351520 494903920 535228225 559258880 565604480 577609562 584163377 611689400 618629900 646405120 667615288 685092128 699073600 707005600 782962432 791846272 808006400 829158400 834519110 856365160 894814208 904967168 978703040 989807840 1070456450 1118517760 1131208960 1155219124 1168326754 1223378800 1237259800 1292810240 1335230576 1370184256 1398147200 1414011200 1444023905 1565924864 1583692544 1616012800 1658316800 1669038220 1712730320 1809934336 1957406080 1979615680 2021633467 2086297775 2140912900 2237035520 2262417920 2310438248 2336653508 2446757600 2474519600 2670461152 2740368512 2796294400 2828022400 2888047810 2920816885 3131849728 3167385088 3232025600 3338076440 3425460640 3914812160 3959231360 4043266934 4089143639 4172595550 4281825800 4474071040 4524835840 4620876496 4673307016 4893515200 4949039200 5340922304 5480737024 5592588800 5656044800 5776095620 5841633770 6263699456 6334770176 6464051200 6676152880 6850921280 7220119525 7829624320 7918462720 8086533868 8178287278 8345191100 8563651600 9049671680 9241752992 9346614032 9787030400 9898078400 10108167335 10681844608 10961474048 11185177600 11312089600 11552191240 11683267540 12669540352 13352305760 13701842560 14151434269 14440239050 14604084425 15659248640 15836925440 16173067736 16356574556 16690382200 17127303200 18483505984 18693228064 19574060800 19796156800 20216334670 20445718195 21363689216 21922948096 22370355200 22624179200 23104382480 23366535080 26704611520 27403685120 28302868538 28880478100 29208168850 31318497280 31673850880 32346135472 32713149112 33380764400 34254606400 36967011968 37386456128 39148121600 39592313600 40432669340 40891436390 42727378432 43845896192 45248358400 46208764960 46733070160 50540836675 53409223040 54807370240 55161713171 56605737076 57760956200 58416337700 63347701760 64692270944 65426298224 66761528800 68509212800 70757171345 73934023936 74772912256 78296243200 79184627200 80865338680 81782872780 85454756864 92417529920 93466140320 101081673350 102228590975 106818446080 109614740480 110323426342 113211474152 115521912400 116832675400 129384541888 130852596448 133523057600 137018425600 141514342690 147868047872 149545824512 156592486400 158369254400 161730677360 163565745560 170909513728 184835059840 186932280640 202163346700 204457181950 213636892160 219229480960 220646852684 226422948304 231043824800 233665350800 258769083776 261705192896 267046115200 274036851200 275808565855 283028685380 295736095744 299091649024 316738508800 323461354720 327131491120 353785856725 369670119680 373864561280 386131992197 404326693400 408914363900 427273784320 441293705368 452845896608 462087649600 467330701600 517538167552 523410385792 534092230400 548073702400 551617131710 566057370760 591472191488 598183298048 646922709440 654262982240 707571713450 739340239360 747729122560 772263984394 808653386800 817828727800 854547568640 882587410736 905691793216 924175299200 934661403200 1035076335104 1046820771584 1068184460800 1096147404800 1103234263420 1132114741520 1196366596096 1293845418880 1308525964480 1379042829275 1415143426900 1478680478720 1495458245120 1544527968788 1617306773600 1635657455600 1765174821472 1811383586432 1848350598400 1869322806400 1930659960985 2070152670208 2093641543168 2136368921600 2206468526840 2264229483040 2587690837760 2617051928960 2702923945379 2758085658550 2830286853800 2957360957440 2990916490240 3089055937576 3234613547200 3271314911200 3530349642944 3622767172864 3696701196800 3738645612800 3861319921970 4140305340416 4187283086336 4272737843200 4412937053680 4528458966080 5175381675520 5234103857920 5405847890758 5516171317100 5660573707600 5981832980480 6178111875152 6469227094400 6542629822400 7060699285888 7245534345728 7393402393600 7477291225600 7722639843940 8374566172672 8825874107360 9056917932160 9653299804925 10350763351040 10468207715840 10811695781516 11032342634200 11321147415200 12356223750304 12938454188800 13085259644800 13514619726895 14121398571776 14491068691456 14786804787200 14954582451200 15445279687880 17651748214720 18113835864320 19306599609850 20701526702080 20936415431680 21623391563032 22064685268400 22642294830400 24712447500608 25876908377600 26170519289600 27029239453790 28242797143552 28982137382912 29909164902400 30890559375760 35303496429440 36227671728640 38613199219700 41872830863360 43246783126064 44129370536800 45284589660800 49424895001216 51753816755200 52341038579200 54058478907580 56485594287104 61781118751520 67573098634475 70606992858880 72455343457280 77226398439400 86493566252128 88258741073600 90569179321600 98849790002432 103507633510400 104682077158400 108116957815160 112971188574208 123562237503040 135146197268950 141213985717760 144910686914560 154452796878800 172987132504256 176517482147200 181138358643200 197699580004864 209364154316800 216233915630320 247124475006080 270292394537900 282427971435520 308905593757600 345974265008512 353034964294400 362276717286400 395399160009728 432467831260640 494248950012160 540584789075800 564855942871040 617811187515200 691948530017024 706069928588800 724553434572800 790798320019456 864935662521280 988497900024320 1081169578151600 1235622375030400 1383897060034048 1412139857177600 1729871325042560 1976995800048640 2162339156303200 2471244750060800 2767794120068096 2824279714355200 3459742650085120 3953991600097280 4324678312606400 4942489500121600 5535588240136192 6919485300170240 8649356625212800 9884979000243200 13838970600340480 17298713250425600 19769958000486400 27677941200680960 34597426500851200 69194853001702400 138389706003404800
- Sum of all divisors σ(n): 401840390051493120
- Sum of proper divisors (its aliquot sum) s(n): 263450684048088320
- 138389706003404800 is an abundant number, because the sum of its proper divisors (263450684048088320) is greater than itself. Its abundance is 125060978044683520
Bases of 138389706003404800
- Binary: 1111010111010100010110100010100101110011101011000000000002
- Hexadecimal: 0x1EBA8B452E75800
- Base-36: 11UN219Q3QPS
Squares and roots of 138389706003404800
- 138389706003404800 squared (1383897060034048002) is 19151710727708814541989192663040000
- 138389706003404800 cubed (1383897060034048003) is 2650399617069876642760111999568027469419118592000000
-
The
square root of 138389706003404800 is 372007669.2803587887 -
The
cube root of 138389706003404800 is 517250.9086222427
Scales and comparisons
How big is 138389706003404800?- 138,389,706,003,404,800 seconds is equal to 4,400,364,583 years, 22 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,389,706,003,404,800 would take you about thirteen billion, two hundred one million, ninety-three thousand, seven hundred fifty 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 138389706003404800 cubic inches would be around 43104.2 feet tall.
Recreational maths with 138389706003404800
- 138389706003404800 backwards is 008404300607983831
- 138389706003404800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138389706003404800's digits is 64
- More coming soon!
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The information we have on file for 138389706003404800 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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