138398497375500544
138,398,497,375,500,544 is an even composite number composed of five prime numbers multiplied together.
138398497375500544 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138398497375500544:
28 × 73 × 132 × 292 × 2233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 29 × 29 × 223 × 223 × 223)See below for interesting mathematical facts about the number 138398497375500544 from the Numbermatics database.
Names of 138398497375500544
- Cardinal: 138398497375500544 can be written as One hundred thirty-eight quadrillion, three hundred ninety-eight trillion, four hundred ninety-seven billion, three hundred seventy-five million, five hundred thousand, five hundred forty-four.
Scientific notation
- Scientific notation: 1.38398497375500544 × 1017
Factors of 138398497375500544
Divisors of 138398497375500544
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 29 32 49 52 56 58 64 91 98 104 112 116 128 169 182 196 203 208 223 224 232 256 338 343 364 377 392 406 416 446 448 464 637 676 686 728 754 784 812 832 841 892 896 928 1183 1274 1352 1372 1421 1456 1508 1561 1568 1624 1664 1682 1784 1792 1856 2366 2548 2639 2704 2744 2842 2899 2912 3016 3122 3136 3248 3328 3364 3568 3712 4459 4732 4901 5096 5278 5408 5488 5684 5798 5824 5887 6032 6244 6272 6467 6496 6728 7136 7424 8281 8918 9464 9802 9947 10192 10556 10816 10927 10933 10976 11368 11596 11648 11774 12064 12488 12544 12934 12992 13456 14272 16562 17836 18473 18928 19604 19894 20293 20384 21112 21632 21854 21866 21952 22736 23192 23296 23548 24128 24976 25868 25984 26912 28544 33124 34307 35672 36946 37687 37856 39208 39788 40586 40768 41209 42224 43264 43708 43732 43904 45269 45472 46384 47096 48256 49729 49952 51736 51968 53824 57088 57967 66248 68614 71344 73892 75374 75712 76489 76531 78416 79576 81172 81536 82418 84071 84448 87416 87464 87808 90538 90944 92768 94192 96512 99458 99904 103472 107648 115934 129311 132496 137228 142051 142129 142688 147784 150748 151424 152978 153062 156832 159152 162344 163072 164836 168142 168896 174832 174928 181076 181888 185536 187543 188384 198916 199808 206944 215296 231868 240149 258622 263809 264992 274456 284102 284258 285376 288463 295568 301496 302848 305956 306124 313664 316883 318304 324688 329672 336284 337792 348103 349664 349856 362152 363776 371072 375086 376768 397832 399616 413888 463736 480298 517244 527618 529984 535717 548912 568204 568516 570752 576926 588497 591136 602992 611912 612248 627328 633766 636608 646477 649376 659344 672568 675584 696206 699328 699712 724304 742144 750172 753536 795664 827776 927472 960596 994357 994903 1034488 1055236 1059968 1071434 1092923 1097824 1136408 1137032 1141504 1153852 1176994 1182272 1205984 1223824 1224496 1254656 1267532 1273216 1292954 1298752 1312801 1318688 1345136 1392412 1398656 1399424 1442141 1448608 1500344 1507072 1591328 1655552 1681043 1846663 1854944 1921192 1988714 1989806 2068976 2110472 2119936 2142868 2185846 2195648 2218181 2272816 2274064 2307704 2353988 2364544 2411968 2436721 2438059 2447648 2448992 2535064 2546432 2585908 2597504 2625602 2637376 2690272 2784824 2797312 2798848 2884282 2897216 3000688 3182656 3362086 3693326 3709888 3750019 3842384 3977428 3979612 4119479 4137952 4220944 4285736 4371692 4391296 4436362 4525339 4545632 4548128 4615408 4707976 4729088 4823936 4873442 4876118 4895296 4897984 5070128 5171816 5195008 5251204 5274752 5380544 5569648 5768564 5794432 6001376 6365312 6724172 6964321 7386652 7419776 7500038 7650461 7684768 7954856 7959224 8238958 8275904 8404201 8441888 8571472 8743384 8782592 8872724 9050678 9091264 9096256 9189607 9230816 9415952 9647872 9746884 9752236 9790592 9795968 10094987 10140256 10343632 10502408 10549504 10761088 11089567 11139296 11537128 11588864 12002752 12730624 12926641 13448344 13928642 14773304 14839552 15000076 15300922 15369536 15909712 15918448 16477916 16551808 16808402 16883776 17057047 17066413 17142944 17486768 17745448 18101356 18182528 18192512 18379214 18461632 18747833 18831904 19493768 19504472 19581184 19591936 20189974 20280512 20687264 21004816 21522176 22179134 22278592 23074256 24005504 25853282 26896688 27857284 28836353 29546608 30000152 30601844 30739072 31677373 31694767 31819424 31836896 32955832 33103616 33616804 33767552 34114094 34132826 34285888 34973536 35490896 36202712 36365056 36385024 36758428 36923264 37495666 37663808 38987536 39008944 40379948 40561024 41374528 41822089 42009632 44358268 44557184 46148512 48011008 48750247 51706564 53553227 53793376 55714568 57672706 58829407 59093216 60000304 61203688 61478144 63354746 63389534 63638848 63673792 64327249 65911664 67233608 67535104 68228188 68265652 68571776 69947072 70664909 70981792 72405424 73516856 73846528 74991332 75327616 77626969 77975072 78017888 80759896 81122048 82749056 83644178 84019264 88716536 89114368 92297024 97500494 103413128 107106454 107586752 111429136 115345412 117658814 118186432 119464891 120000608 122407376 126709492 126779068 127277696 127347584 128654498 131234831 131823328 134467216 136456376 136531304 137143552 139894144 141329818 141963584 144164371 144810848 147033712 149982664 150655232 155253938 155950144 156035776 161519792 165498112 167288356 168038528 177433072 184594048 195000988 206826256 214212908 215173504 221741611 221863369 222858272 230690824 235317628 236372864 238929782 240001216 243721829 244814752 253418984 253558136 254555392 254695168 257308996 262469662 263646656 268934432 272912752 273062608 279788288 282659636 283927168 288328742 289621696 292754623 294067424 299965328 310507876 311900288 312071552 321597443 323039584 334576712 336077056 354866144 369188096 374872589 390001976 411805849 413652512 428425816 430347008 443483222 443726738 445716544 461381648 470635256 472745728 477859564 480002432 487443658 489629504 494654363 506837968 507116272 514617992 524939324 527293312 537868864 543388783 543687157 545825504 546125216 565319272 567854336 576657484 579243392 585509246 588134848 599930656 621015752 623800576 624143104 643194886 646079168 669153424 709732288 749745178 780003952 823611698 827305024 836254237 856851632 886966444 887453476 891433088 918643817 922763296 941270512 955719128 960004864 974887316 979259008 989308726 1009150597 1013675936 1014232544 1029235984 1049878648 1054586624 1075737728 1086777566 1087374314 1091651008 1092250432 1130638544 1153314968 1158486784 1171018492 1176269696 1199861312 1242031504 1286389772 1292158336 1338306848 1419464576 1499490356 1553043583 1560007904 1647223396 1654610048 1672508474 1706052803 1713703264 1773932888 1774906952 1782866176 1837287634 1845526592 1874136823 1882541024 1911438256 1949774632 1958518016 1978617452 2018301194 2027351872 2028465088 2049282361 2058471968 2099757296 2151475456 2173555132 2174748628 2183302016 2184500864 2251182101 2261277088 2306629936 2342036984 2352539392 2399722624 2484063008 2572779544 2584316672 2676613696 2838929152 2882640943 2998980712 3106087166 3120015808 3294446792 3309220096 3345016948 3412105606 3427406528 3547865776 3549813904 3674575268 3691053184 3748273646 3765082048 3803721481 3805810099 3822876512 3899549264 3957234904 4036602388 4054703744 4056930176 4098564722 4116943936 4180766759 4199514592 4347110264 4349497256 4366604032 4369001728 4502364202 4522554176 4613259872 4684073968 4799445248 4968126016 5145559088 5353227392 5765281886 5997961424 6212174332 6240031616 6430506719 6588893584 6690033896 6824211212 6854813056 7064054179 7067933041 7095731552 7099627808 7349150536 7382106368 7496547292 7530164096 7607442962 7611620198 7645753024 7799098528 7914469808 8073204776 8109407488 8113860352 8197129444 8233887872 8361533518 8399029184 8694220528 8698994512 9004728404 9045108352 9226519744 9326325847 9368147936 9936252032 10291118176 10706454784 10871305081 11530563772 11942369621 11995922848 12424348664 12480063232 12861013438 13118957761 13177787168 13380067792 13648422424 13709626112 14128108358 14135866082 14191463104 14199255616 14344976527 14698301072 14993094584 15060328192 15214885924 15223240396 15291506048 15598197056 15758274707 15828939616 16146409552 16394258888 16467775744 16723067036 16798058368 17388441056 17397989024 18009456808 18090216704 18453039488 18652651694 18736295872 19872504064 20582236352 21742610162 23061127544 23884739242 23991845696 24848697328 25722026876 26237915522 26355574336 26640670693 26760135584 27296844848 28256216716 28271732164 28382926208 28398511232 28689953054 29265367313 29396602144 29986189168 30429771848 30446480792 30583012096 31196394112 31516549414 31657879232 32292819104 32788517776 33446134072 33596116736 34776882112 34795978048 36018913616 36906078976 37305303388 37472591744 41164472704 43485220324 46122255088 47769478484 47983691392 49448379253 49475531287 49697394656 51444053752 52475831044 52711148672 53281341386 53520271168 54349967867 54593689696 56512433432 56543464328 56765852416 56797022464 57379906108 58530734626 58793204288 59972378336 60859543696 60892961584 62392788224 63033098828 63315758464 64585638208 65284280929 65577035552 66892268144 69553764224 69591956096 72037827232 74610606776 74945183488 82328945408 83596587347 86970440648 91832704327 92244510176 95538956968 95967382784 98896758506 98951062574 99394789312 102888107504 104951662088 105422297344 106562682772 107040542336 108699935734 109187379392 110307922949 113024866864 113086928656 114759812216 117061469252 117586408576 119944756672 121242236011 121719087392 121785923168 126066197656 126631516928 129171276416 130568561858 131154071104 133784536288 139107528448 139183912192 144075654464 149221213552 167193174694 173940881296 183665408654 184489020352 186484694851 191077913936 197793517012 197902125148 198789578624 204857571191 205776215008 209903324176 213125365544 214081084672 217399871468 218374758784 220615845898 226049733728 226173857312 229519624432 234122938504 235172817152 239889513344 242484472022 243438174784 243571846336 252132395312 258342552832 261137123716 262308142208 267569072576 288151308928 298442427104 334386349388 346328719009 347881762592 367330817308 368978040704 372969389702 380449775069 382155827872 395587034024 395804250296 397579157248 409715142382 411552430016 419806648352 426250731088 434799742936 436749517568 441231691796 452099467456 452347714624 456989966503 459039248864 468245877008 479779026688 484968944044 486876349568 487143692672 504264790624 522274247432 524616284416 535138145152 576302617856 596884854208 642828930289 668772698776 692657438018 695763525184 734661634616 737956081408 745938779404 760899550138 764311655744 791174068048 791608500592 819430284764 823104860032 839613296704 848695652077 852501462176 869599485872 882463383592 904198934912 904695429248 913979933006 918078497728 936491754016 969937888088 973752699136 974287385344 1008529581248 1044548494864 1070276290304 1193769708416 1285657860578 1337545397552 1385314876036 1391527050368 1434002998337 1469323269232 1491877558808 1521799100276 1528623311488 1576149068143 1582348136096 1583217001184 1638860569528 1646209720064 1679226593408 1697391304154 1705002924352 1739198971744 1764926767184 1808397869824 1809390858496 1827959866012 1836156995456 1872983508032 1939875776176 2017059162496 2089096989728 2387539416832 2424301033063 2571315721156 2663148425483 2675090795104 2770629752072 2783054100736 2868005996674 2938646538464 2983755117616 3043598200552 3057246622976 3152298136286 3164696272192 3166434002368 3198929765521 3277721139056 3358453186816 3394782608308 3410005848704 3478397943488 3529853534368 3655919732024 3672313990912 3745967016064 3879751552352 4034118324992 4178193979456 4848602066126 5142631442312 5326296850966 5350181590208 5541259504144 5736011993348 5877293076928 5940869564539 5967510235232 6087196401104 6304596272572 6329392544384 6332868004736 6397859531042 6555442278112 6789565216616 6820011697408 6956795886976 7059707068736 7311839464048 7491934032128 7759503104704 8356387958912 9697204132252 10285262884624 10652593701932 10700363180416 11033043477001 11082519008288 11472023986696 11754586153856 11881739129078 11935020470464 12174392802208 12609192545144 12658785088768 12665736009472 12795719062084 13110884556224 13579130433232 13913591773952 14119414137472 14623678928096 15519006209408 16712775917824 18642038978381 19394408264504 20570525769248 21305187403864 21400726360832 22066086954002 22165038016576 22944047973392 23509172307712 23763478258156 23870040940928 24348785604416 25218385090288 25591438124168 26221769112448 27158260866464 28238828274944 29247357856192 31038012418816 37284077956762 38788816529008 41141051538496 41586086951773 42610374807728 44132173908004 44330076033152 45888095946784 47526956516312 47740081881856 48697571208832 50436770180576 51182876248336 52443538224896 54316521732928 58494715712384 74568155913524 77231304339007 77577633058016 82282103076992 83172173903546 85220749615456 88264347816008 88660152066304 91776191893568 95053913032624 97395142417664 100873540361152 102365752496672 108633043465856 116989431424768 149136311827048 154462608678014 155155266116032 164564206153984 166344347807092 170441499230912 176528695632016 183552383787136 190107826065248 201747080722304 204731504993344 217266086931712 298272623654096 308925217356028 310310532232064 332688695614184 340882998461824 353057391264032 367104767574272 380215652130496 403494161444608 409463009986688 540619130373049 596545247308192 617850434712056 620621064464128 665377391228368 681765996923648 706114782528064 760431304260992 818926019973376 1081238260746098 1193090494616384 1235700869424112 1330754782456736 1412229565056128 1520862608521984 2162476521492196 2386180989232768 2471401738848224 2661509564913472 2824459130112256 4324953042984392 4772361978465536 4942803477696448 5323019129826944 8649906085968784 9885606955392896 10646038259653888 17299812171937568 19771213910785792 34599624343875136 69199248687750272 138398497375500544
- Sum of all divisors σ(n): 362924772921984000
- Sum of proper divisors (its aliquot sum) s(n): 224526275546483456
- 138398497375500544 is an abundant number, because the sum of its proper divisors (224526275546483456) is greater than itself. Its abundance is 86127778170982912
Bases of 138398497375500544
- Binary: 1111010111011000010110011001110011000001110111001000000002
- Hexadecimal: 0x1EBB0B33983B900
- Base-36: 11UQ67YY29Z4
Squares and roots of 138398497375500544
- 138398497375500544 squared (1383984973755005442) is 19154144075796430965565394544295936
- 138398497375500544 cubed (1383984973755005443) is 2650904758604071643914446420970808384565948064989184
-
The
square root of 138398497375500544 is 372019485.2094451033 -
The
cube root of 138398497375500544 is 517261.8613851501
Scales and comparisons
How big is 138398497375500544?- 138,398,497,375,500,544 seconds is equal to 4,400,644,121 years, 45 weeks, 5 days, 14 hours, 9 minutes, 4 seconds.
-
To count from 1 to 138,398,497,375,500,544 would take you about thirteen billion, two hundred one million, nine hundred thirty-two thousand, three hundred sixty-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 138398497375500544 cubic inches would be around 43105.2 feet tall.
Recreational maths with 138398497375500544
- 138398497375500544 backwards is 445005573794893831
- The number of decimal digits it has is: 18
- The sum of 138398497375500544's digits is 85
- More coming soon!
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"Number 138398497375500544 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 138398497375500544 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138398497375500544/
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The information we have on file for 138398497375500544 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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