138471047644705664
138,471,047,644,705,664 is an even composite number composed of four prime numbers multiplied together.
What does the number 138471047644705664 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 672 divisors.
138471047644705664 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138471047644705664:
27 × 76 × 672 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 67 × 67 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138471047644705664 from the Numbermatics database.
Names of 138471047644705664
- Cardinal: 138471047644705664 can be written as One hundred thirty-eight quadrillion, four hundred seventy-one trillion, forty-seven billion, six hundred forty-four million, seven hundred five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38471047644705664 × 1017
Factors of 138471047644705664
Divisors of 138471047644705664
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 67 98 112 127 128 134 196 224 254 268 343 392 448 469 508 536 686 784 889 896 938 1016 1072 1372 1568 1778 1876 2032 2144 2401 2744 3136 3283 3556 3752 4064 4288 4489 4802 5488 6223 6272 6566 7112 7504 8128 8509 8576 8978 9604 10976 12446 13132 14224 15008 16129 16256 16807 17018 17956 19208 21952 22981 24892 26264 28448 30016 31423 32258 33614 34036 35912 38416 43561 43904 45962 49784 52528 56896 59563 60032 62846 64516 67228 68072 71824 76832 87122 91924 99568 105056 112903 113792 117649 119126 125692 129032 134456 136144 143648 153664 160867 174244 183848 199136 210112 219961 225806 235298 238252 251384 258064 268912 272288 287296 304927 307328 321734 348488 367696 398272 416941 420224 439922 451612 470596 476504 502768 516128 537824 544576 570103 574592 609854 643468 696976 735392 790321 796544 833882 879844 903224 941192 953008 1005536 1032256 1075648 1080643 1089152 1126069 1140206 1219708 1286936 1393952 1470784 1539727 1580642 1667764 1759688 1806448 1882384 1906016 2011072 2048383 2064512 2134489 2151296 2161286 2252138 2280412 2439416 2573872 2787904 2918587 2941568 3079454 3161284 3335528 3519376 3612896 3764768 3812032 3990721 4022144 4096766 4268978 4322572 4504276 4560824 4878832 5147744 5532247 5575808 5837174 6158908 6322568 6671056 7038752 7225792 7529536 7564501 7624064 7882483 7981442 8193532 8537956 8645144 9008552 9121648 9757664 10295488 10778089 11064494 11674348 12317816 12645136 13342112 14077504 14338681 14451584 14941423 15059072 15129002 15764966 15962884 16387064 17075912 17290288 18017104 18243296 19515328 20430109 20590976 21556178 22128988 23348696 24635632 25290272 26684224 27935047 28155008 28677362 29882846 30258004 31529932 31925768 32774128 34151824 34580576 36034208 36486592 38725729 39030656 40860218 43112356 44257976 46697392 49271264 50580544 52951507 53368448 55870094 57354724 59765692 60516008 63059864 63851536 65548256 68303648 69161152 72068416 72403081 72973184 75446623 77451458 81720436 86224712 88515952 93394784 98542528 100370767 101161088 105903014 111740188 114709448 119531384 121032016 126119728 127703072 131096512 136607296 137241661 138322304 143010763 144136832 144806162 150893246 154902916 163440872 172449424 177031904 186789568 195545329 197085056 200741534 211806028 223480376 229418896 239062768 242064032 252239456 255406144 262193024 271080103 273214592 274483322 286021526 289612324 301786492 309805832 326881744 344898848 354063808 370660549 373579136 391090658 401483068 423612056 446960752 458837792 478125536 484128064 504478912 506821567 510812288 528126361 542160206 548966644 572043052 579224648 603572984 619611664 653763488 689797696 702595369 708127616 741321098 782181316 802966136 847224112 893921504 917675584 956251072 960691627 968256128 1001075341 1008957824 1013643134 1056252722 1084320412 1097933288 1144086104 1158449296 1207145968 1239223328 1307526976 1368817303 1379595392 1405190738 1482642196 1564362632 1605932272 1694448224 1787843008 1835351168 1897560721 1912502144 1921383254 2002150682 2027286268 2112505444 2168640824 2195866576 2288172208 2316898592 2414291936 2478446656 2594623843 2615053952 2737634606 2810381476 2965284392 3128725264 3211864544 3388896448 3547750969 3575686016 3795121442 3842766508 4004301364 4054572536 4225010888 4337281648 4391733152 4576344416 4633797184 4828583872 4918167583 4956893312 5189247686 5475269212 5620762952 5930568784 6257450528 6423729088 6724841389 6777792896 7095501938 7590242884 7685533016 8008602728 8109145072 8450021776 8674563296 8783466304 9152688832 9195191287 9267594368 9581721121 9657167744 9836335166 10378495372 10950538424 11241525904 11861137568 12514901056 12847458176 13449682778 14191003876 15180485768 15371066032 16017205456 16218290144 16900043552 17349126592 17566932608 18162366901 18305377664 18390382574 19163442242 19672670332 20756990744 21901076848 22483051808 23722275136 24834256783 25029802112 26899365556 28382007752 30360971536 30742132064 32034410912 32436580288 33800087104 34427173081 34698253184 36324733802 36780765148 38326884484 39345340664 41513981488 43802153696 44966103616 47073889723 47444550272 49668513566 53798731112 56764015504 60721943072 61484264128 64068821824 64366339009 64873160576 67072047847 67600174208 68854346162 72649467604 73561530296 76653768968 78690681328 83027962976 87604307392 89932207232 94147779446 99337027132 107597462224 113528031008 121443886144 122968528256 127136568307 128137643648 128732678018 134144095694 137708692324 145298935208 147123060592 153307537936 157381362656 166055925952 173839797481 175208614784 188295558892 198674054264 215194924448 227056062016 240990211567 242887772288 254273136614 257465356036 268288191388 275417384648 290597870416 294246121184 306615075872 314762725312 329517228061 332111851904 347679594962 376591117784 397348108528 430389848896 450564373063 454112124032 481980423134 508546273228 514930712072 536576382776 550834769296 581195740832 588492242368 613230151744 629525450624 659034456122 695359189924 753182235568 794696217056 860779697792 901128746126 963960846268 1017092546456 1029861424144 1073152765552 1101669538592 1162391481664 1176984484736 1216878582367 1226460303488 1318068912244 1390718379848 1506364471136 1589392434112 1802257492252 1927921692536 2034185092912 2059722848288 2146305531104 2203339077184 2306620596427 2324782963328 2433757164734 2636137824488 2781436759696 3012728942272 3153950611441 3178784868224 3604514984504 3855843385072 4068370185824 4119445696576 4292611062208 4406678154368 4613241192854 4867514329468 5272275648976 5562873519392 6025457884544 6307901222882 7209029969008 7711686770144 8136740371648 8238891393152 8518150076569 8585222124416 9226482385708 9735028658936 10544551297952 11125747038784 12615802445764 14418059938016 15423373540288 16146344174989 16273480743296 17036300153138 18452964771416 19470057317872 21089102595904 22077654280087 22251494077568 25231604891528 28836119876032 30846747080576 32292688349978 34072600306276 36905929542832 38940114635744 42178205191808 44155308560174 50463209783056 57672239752064 64585376699956 68145200612552 73811859085664 77880229271488 88310617120348 100926419566112 129170753399912 136290401225104 147623718171328 154543579960609 155760458542976 176621234240696 201852839132224 258341506799824 272580802450208 295247436342656 309087159921218 353242468481392 403705678264448 516683013599648 545161604900416 618174319842436 706484936962784 1033366027199296 1081805059724263 1090323209800832 1236348639684872 1412969873925568 2066732054398592 2163610119448526 2472697279369744 2825939747851136 4327220238897052 4945394558739488 8654440477794104 9890789117478976 17308880955588208 19781578234957952 34617761911176416 69235523822352832 138471047644705664
- Sum of all divisors σ(n): 329304790381996800
- Sum of proper divisors (its aliquot sum) s(n): 190833742737291136
- 138471047644705664 is an abundant number, because the sum of its proper divisors (190833742737291136) is greater than itself. Its abundance is 52362695092585472
Bases of 138471047644705664
- Binary: 1111010111111001010101111001001101000100111110011100000002
- Hexadecimal: 0x1EBF2AF2689F380
- Base-36: 11VFW13R5LKW
Squares and roots of 138471047644705664
- 138471047644705664 squared (1384710476447056642) is 19174231035822346017465809193680896
- 138471047644705664 cubed (1384710476447056643) is 2655075859311950110674024260979269566527458659794944
-
The
square root of 138471047644705664 is 372116981.1291949949 -
The
cube root of 138471047644705664 is 517352.2306990037
Scales and comparisons
How big is 138471047644705664?- 138,471,047,644,705,664 seconds is equal to 4,402,950,996 years, 1 week, 3 days, 11 hours, 7 minutes, 44 seconds.
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To count from 1 to 138,471,047,644,705,664 would take you about thirteen billion, two hundred eight million, eight hundred fifty-two thousand, nine hundred eighty-eight 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 138471047644705664 cubic inches would be around 43112.7 feet tall.
Recreational maths with 138471047644705664
- 138471047644705664 backwards is 466507446740174831
- The number of decimal digits it has is: 18
- The sum of 138471047644705664's digits is 77
- More coming soon!
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The information we have on file for 138471047644705664 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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