138017661679498320
138,017,661,679,498,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 138017661679498320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 810 divisors.
138017661679498320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 138017661679498320:
24 × 32 × 5 × 172 × 1312 × 62172
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 17 × 131 × 131 × 6217 × 6217)See below for interesting mathematical facts about the number 138017661679498320 from the Numbermatics database.
Names of 138017661679498320
- Cardinal: 138017661679498320 can be written as One hundred thirty-eight quadrillion, seventeen trillion, six hundred sixty-one billion, six hundred seventy-nine million, four hundred ninety-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3801766167949832 × 1017
Factors of 138017661679498320
Divisors of 138017661679498320
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 131 136 144 153 170 180 204 240 255 262 272 289 306 340 360 393 408 510 524 578 612 655 680 720 765 786 816 867 1020 1048 1156 1179 1224 1310 1360 1445 1530 1572 1734 1965 2040 2096 2227 2312 2358 2448 2601 2620 2890 3060 3144 3468 3930 4080 4335 4454 4624 4716 5202 5240 5780 5895 6120 6217 6288 6681 6936 7860 8670 8908 9432 10404 10480 11135 11560 11790 12240 12434 13005 13362 13872 15720 17161 17340 17816 18651 18864 20043 20808 22270 23120 23580 24868 26010 26724 31085 31440 33405 34322 34680 35632 37302 37859 40086 41616 44540 47160 49736 51483 52020 53448 55953 62170 66810 68644 69360 74604 75718 80172 85805 89080 93255 94320 99472 100215 102966 104040 105689 106896 111906 113577 124340 133620 137288 149208 151436 154449 160344 171610 178160 186510 189295 200430 205932 208080 211378 223812 227154 248680 257415 267240 274576 279765 291737 298416 302872 308898 317067 320688 340731 343220 373020 378590 400860 411864 422756 447624 454308 497360 514830 528445 534480 559530 567885 583474 605744 617796 634134 681462 686440 746040 757180 772245 801720 814427 823728 845512 875211 895248 908616 951201 1029660 1056890 1119060 1135770 1166948 1235592 1268268 1362924 1372880 1458685 1492080 1514360 1544490 1585335 1603440 1628854 1691024 1703655 1750422 1796713 1817232 1902402 2059320 2113780 2238120 2271540 2333896 2443281 2471184 2536536 2625633 2725848 2917370 3028720 3088980 3170670 3257708 3407310 3500844 3593426 3804804 4072135 4118640 4227560 4376055 4476240 4543080 4667792 4756005 4886562 4959529 5073072 5251266 5390139 5451696 5834740 6177960 6341340 6515416 6814620 7001688 7186852 7329843 7609608 8144270 8455120 8752110 8983565 9086160 9512010 9773124 9919058 10502532 10780278 11669480 12216405 12355920 12682680 13030832 13128165 13629240 13845259 14003376 14373704 14659686 14878587 15219216 16170417 16288540 17504220 17967130 19024020 19546248 19838116 21005064 21560556 23338960 24432810 24797645 25365360 26256330 26950695 27258480 27690518 28747408 29319372 29757174 32340834 32577080 35008440 35934260 36649215 38048040 38651089 39092496 39676232 41535777 42010128 43121112 44635761 48865620 49595290 52512660 53901390 55381036 58638744 59514348 64681668 65154160 69226295 70016880 71868520 73298430 74392935 76096080 77302178 79352464 80852085 83071554 86242224 89271522 97731240 99190580 105025320 106689937 107802780 110762072 115953267 117277488 119028696 124607331 129363336 138452590 143737040 146596860 148785870 154604356 161704170 166143108 178543044 193255445 195462480 198381160 207678885 210050640 213379874 215605560 221524144 223178805 231906534 235369403 238057392 249214662 258726672 276905180 293193720 297571740 309208712 320069811 323408340 332286216 347859801 357086088 386510890 396762320 415357770 426759748 431211120 446357610 463813068 470738806 498429324 533449685 553810360 579766335 586387440 595143480 618417424 623036655 640139622 646816680 657068513 664572432 695719602 706108209 714172176 773021780 830715540 853519496 892715220 927626136 941477612 960209433 996858648 1066899370 1107620720 1159532670 1176847015 1190286960 1246073310 1280279244 1293633360 1314137026 1391439204 1412216418 1546043560 1600349055 1661431080 1707038992 1739299005 1785430440 1813728929 1855252272 1882955224 1920418866 1971205539 1993717296 2118324627 2133798740 2319065340 2353694030 2492146620 2560558488 2628274052 2782878408 2824432836 3092087120 3200698110 3285342565 3322862160 3478598010 3530541045 3570860880 3627457858 3765910448 3840837732 3942411078 4236649254 4267597480 4638130680 4707388060 4801047165 4984293240 5063292659 5121116976 5256548104 5441186787 5565756816 5648865672 5913616617 6401396220 6570685130 6957196020 7061082090 7254915716 7681675464 7884822156 8473298508 8535194960 9068644645 9276261360 9414776120 9602094330 9856027695 9968586480 10126585318 10513096208 10591623135 10882373574 11170164721 11297731344 11827233234 12802792440 13141370260 13914392040 14122164180 14509831432 15189877977 15363350928 15769644312 16323560361 16946597016 18137289290 18829552240 19204188660 19712055390 20253170636 21183246270 21764747148 22340329442 23654466468 25316463295 25605584880 26282740520 27205933935 27828784080 28244328360 29019662864 29568083085 30379755954 30833391793 31539288624 32647120722 33510494163 33893194032 36274578580 38408377320 39424110780 40506341272 42366492540 43529494296 44680658884 45569633931 47308932936 50632926590 52565481040 54411867870 55850823605 56488656720 59136166170 60759511908 61666783586 65294241444 67020988326 72549157160 75949389885 76816754640 78848221560 81012682544 81617801805 84732985080 86075975203 87058988592 89361317768 91139267862 92500175379 94617865872 100531482489 101265853180 108823735740 111701647210 118272332340 121519023816 123333567172 130588482888 134041976652 145098314320 151898779770 154166958965 157696443120 163235603610 167552470815 169465970160 172151950406 178722635536 182278535724 185000350758 201062964978 202531706360 217647471480 223403294420 227848169655 236544664680 243038047632 246667134344 258227925609 261176965776 268083953304 277500526137 303797559540 308333917930 326471207220 335104941630 344303900812 364557071448 370000701516 402125929956 405063412720 430379876015 435294942960 446806588840 455696339310 462500876895 473089329360 493334268688 502657412445 516455851218 536167906608 555001052274 607595119080 616667835860 652942414440 663291338329 670209883260 688607801624 729114142896 740001403032 774683776827 804251859912 860759752030 893613177680 911392678620 925001753790 1005314824890 1032911702436 1110002104548 1215190238160 1233335671720 1291139628045 1305884828880 1326582676658 1340419766520 1377215603248 1387502630685 1463291578451 1480002806064 1549367553654 1608503719824 1721519504060 1822785357240 1850003507580 1989874014987 2010629649780 2065823404872 2220004209096 2466671343440 2582279256090 2653165353316 2680839533040 2775005261370 2926583156902 3098735107308 3316456691645 3443039008120 3645570714480 3700007015160 3873418884135 3979748029974 4021259299560 4131646809744 4389874735353 4440008418192 5164558512180 5306330706632 5550010522740 5853166313804 5969622044961 6197470214616 6632913383290 6886078016240 7316457892255 7400014030320 7746837768270 7959496059948 8042518599120 8779749470706 9949370074935 10329117024360 10612661413264 11100021045480 11275952751593 11706332627608 11939244089922 12394940429232 13169624206059 13265826766580 14632915784510 15493675536540 15918992119896 17559498941412 19898740149870 20658234048720 21949373676765 22200042090960 22551905503186 23412665255216 23878488179844 26339248412118 26531653533160 29265831569020 29848110224805 30987351073080 31837984239792 33827858254779 35118997882824 39797480299740 43898747353530 45103811006372 47756976359688 52678496824236 53063307066320 56379763757965 58531663138040 59696220449610 61974702146160 65848121030295 67655716509558 70237995765648 79594960599480 87797494707060 90207622012744 95513952719376 101483574764337 105356993648472 112759527515930 117063326276080 119392440899220 131696242060590 135311433019116 159189921198960 169139291273895 175594989414120 180415244025488 191691196777081 202967149528674 210713987296944 225519055031860 238784881798440 263392484121180 270622866038232 338278582547790 351189978828240 383382393554162 405934299057348 451038110063720 477569763596880 507417873821685 526784968242360 541245732076464 575073590331243 676557165095580 766764787108324 811868598114696 902076220127440 958455983885405 1014835747643370 1053569936484720 1150147180662486 1353114330191160 1533529574216648 1623737196229392 1725220770993729 1916911967770810 2029671495286740 2300294361324972 2706228660382320 2875367951656215 3067059148433296 3450441541987458 3833823935541620 4059342990573480 4600588722649944 5750735903312430 6900883083974916 7667647871083240 8118685981146960 8626103854968645 9201177445299888 11501471806624860 13801766167949832 15335295742166480 17252207709937290 23002943613249720 27603532335899664 34504415419874580 46005887226499440 69008830839749160 138017661679498320
- Sum of all divisors σ(n): 496245532247686026
- Sum of proper divisors (its aliquot sum) s(n): 358227870568187706
- 138017661679498320 is an abundant number, because the sum of its proper divisors (358227870568187706) is greater than itself. Its abundance is 220210208888689386
Bases of 138017661679498320
- Binary: 1111010100101011001010101000000010010001011110100010100002
- Hexadecimal: 0x1EA56550122F450
- Base-36: 11QZ6EGTJSK0
Squares and roots of 138017661679498320
- 138017661679498320 squared (1380176616794983202) is 19048874935476459021377006882822400
- 138017661679498320 cubed (1380176616794983203) is 2629081176219665311239165793722568989912657658368000
-
The
square root of 138017661679498320 is 371507283.4810891295 -
The
cube root of 138017661679498320 is 516786.9700362377
Scales and comparisons
How big is 138017661679498320?- 138,017,661,679,498,320 seconds is equal to 4,388,534,724 years, 39 weeks, 12 minutes.
-
To count from 1 to 138,017,661,679,498,320 would take you about thirteen billion, one hundred sixty-five million, six hundred four thousand, one hundred seventy-four 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 138017661679498320 cubic inches would be around 43065.6 feet tall.
Recreational maths with 138017661679498320
- 138017661679498320 backwards is 023894976166710831
- The number of decimal digits it has is: 18
- The sum of 138017661679498320's digits is 81
- 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 138017661679498320 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 138017661679498320 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138017661679498320/
Chicago style:
Numbermatics. 2024. "Number 138017661679498320 - Facts about the integer". https://numbermatics.com/n/138017661679498320/
The information we have on file for 138017661679498320 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 138017661679498320, math, Factors of 138017661679498320, curriculum, school, college, exams, university, Prime factorization of 138017661679498320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seventeen trillion, six hundred sixty-one billion, six hundred seventy-nine million, four hundred ninety-eight thousand, three hundred twenty.