138689664399709038
138,689,664,399,709,038 is an even composite number composed of ten prime numbers multiplied together.
What does the number 138689664399709038 look like?
This visualization shows the relationship between its 10 prime factors (large circles) and 1536 divisors.
138689664399709038 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138689664399709038:
2 × 32 × 7 × 11 × 29 × 31 × 41 × 181 × 3169 × 4733
(2 × 3 × 3 × 7 × 11 × 29 × 31 × 41 × 181 × 3169 × 4733)See below for interesting mathematical facts about the number 138689664399709038 from the Numbermatics database.
Names of 138689664399709038
- Cardinal: 138689664399709038 can be written as One hundred thirty-eight quadrillion, six hundred eighty-nine trillion, six hundred sixty-four billion, three hundred ninety-nine million, seven hundred nine thousand and thirty-eight.
Scientific notation
- Scientific notation: 1.38689664399709038 × 1017
Factors of 138689664399709038
Divisors of 138689664399709038
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 6 7 9 11 14 18 21 22 29 31 33 41 42 58 62 63 66 77 82 87 93 99 123 126 154 174 181 186 198 203 217 231 246 261 279 287 319 341 362 369 406 434 451 462 522 543 558 574 609 638 651 682 693 738 861 899 902 957 1023 1086 1189 1218 1267 1271 1302 1353 1386 1629 1722 1798 1827 1914 1953 1991 2046 2233 2378 2387 2534 2542 2583 2697 2706 2871 3069 3157 3169 3258 3567 3654 3801 3813 3906 3982 4059 4466 4733 4774 5166 5249 5394 5611 5742 5973 6138 6293 6314 6338 6699 7134 7161 7421 7602 7626 8091 8118 8323 8897 9466 9471 9507 9889 10498 10701 11222 11403 11439 11946 12586 13079 13398 13937 13981 14199 14322 14842 15747 16182 16646 16833 17794 17919 18879 18942 19014 19778 20097 21402 21483 22183 22263 22806 22878 24969 26158 26691 27874 27962 28398 28413 28521 29667 31494 33131 33666 34859 35838 36743 36859 37758 39237 39277 40194 41811 41943 42597 42966 44366 44526 47241 49938 50499 51947 52063 53382 56637 56826 57042 57739 59334 61721 66262 66549 66789 69223 69718 73486 73718 74907 78474 78554 80073 81631 83622 83886 85194 89001 91553 91901 94482 97867 98239 99393 100998 103894 104126 104577 110229 110577 113274 115478 117711 117831 123442 125433 125829 129929 133098 133578 137257 138446 146723 149814 155841 156189 160146 162719 163262 173217 178002 183106 183802 185163 194053 195734 196478 198786 199647 207669 209154 215209 220458 221154 230051 235422 235662 244013 244893 250866 251658 258013 259858 274514 274659 275703 293446 293601 294717 298179 311682 312378 313731 325438 330687 331731 346434 353493 364441 370326 388106 389787 399294 404173 405449 411771 415338 430418 432047 440169 460102 467523 468567 488026 488157 489786 516026 519651 549318 551406 555489 571417 573589 582159 587202 589434 596358 623007 627462 643307 645627 661374 663462 687673 690153 706986 728882 732039 734679 774039 779574 808346 810898 823542 823977 827109 856673 864094 880338 880803 884151 909503 935046 937134 960799 976314 1010911 1027061 1039302 1080629 1093323 1110978 1139033 1142834 1147178 1164318 1169361 1212519 1216347 1235313 1246014 1286614 1291254 1296141 1320507 1358371 1375346 1380306 1429219 1464078 1464471 1469358 1506463 1509827 1548078 1610357 1613953 1647954 1654218 1713346 1714251 1720767 1746477 1761606 1768302 1789909 1819006 1921598 1929921 1936881 2021822 2054122 2063019 2070459 2134583 2161258 2186646 2196117 2278066 2322117 2338722 2367299 2425038 2432694 2470626 2530561 2570019 2592282 2641014 2716742 2728509 2838143 2848931 2858438 2882397 2928942 3012926 3019654 3032733 3081183 3220714 3227906 3241887 3279969 3417099 3428502 3441534 3492954 3579818 3637557 3649041 3767941 3859842 3873762 3888423 4015123 4027799 4075113 4126038 4140918 4254967 4269166 4287657 4392234 4519389 4529481 4644234 4734598 4831071 4841859 5061122 5140038 5142753 5162301 5369727 5457018 5627537 5676286 5697862 5764794 5789763 5996711 6015643 6065466 6162366 6189057 6309479 6403749 6483774 6559938 6671479 6834198 7076377 7101897 7275114 7298082 7535882 7564403 7591683 7710057 7776846 8030246 8055598 8150226 8185527 8509934 8514429 8546793 8575314 8647191 9038778 9058962 9098199 9243549 9423403 9662142 9683718 9725661 10004533 10251297 10285506 10324602 10568789 10739454 11255074 11297671 11303823 11579526 11993422 12031286 12045369 12083397 12225339 12378114 12529363 12618958 12764901 12807498 12862971 13342958 13558167 13588443 14152754 14203794 14493213 14525577 14942081 14998877 15128806 15183366 15420114 16109181 16371054 16571093 16634081 16882611 17028858 17093586 17294382 17713927 17781259 17990133 18046929 18196398 18487098 18846806 18928437 19211247 19451322 19942517 20009066 20014437 20502594 21137578 21229131 21305691 22595342 22607646 22693209 22775049 23517149 24090738 24166794 24450678 24843517 25058726 25529802 25543287 25640379 25725942 26375587 26556863 27116334 27176886 28194593 28270209 28986426 29051154 29784769 29884162 29997754 30013599 31338241 31706367 32218362 33142186 33268162 33765222 33893013 33911469 35123593 35427854 35562518 35980266 36093858 36136107 36250191 37588089 37856874 38294703 38422494 39392759 39885034 40028874 41447351 42109501 42458262 42611382 44166353 44305789 44826243 44996631 45386418 45550098 46700353 46804637 47034298 49687034 49713279 49902243 50647833 51086574 51280758 52751174 53113726 53141781 53343777 53970399 54140787 56389186 56540418 56785311 59569538 59827551 60027198 60043311 61902907 62676482 63412734 63687393 65963821 66172073 67786026 67822938 68079627 70247186 70551447 72272214 72500382 73386269 74530551 75176178 76589406 78785518 79126761 79670589 82894702 84219002 84583779 84810627 88332706 88611578 89354307 89652486 89993262 90040797 93400706 93609274 94014723 95119101 99426558 99804486 101295666 101679039 104992139 105370779 106283562 106687554 107940798 108281574 112764267 113570622 116438567 116806171 118178277 119655102 120086622 123805814 124342053 124468813 126328503 127374786 131927642 132344146 132499059 132917367 134478729 134989893 136159254 140101059 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64170804411 64972720386 66984984682 67226557002 67517734779 68596377129 71604638798 71862871278 72174130281 76244753673 77484198582 78430983169 78729105373 79411102694 80597584914 80903942538 80946676503 83840016491 84158698847 85931662446 86123551734 89588292321 91857983994 92063107026 94387932961 94702909378 94728330321 97038777402 100477477023 100839835503 102099989178 105027587434 107001988518 107406958197 107794306917 111306666217 112270869326 114021462954 114381436002 118602950158 119116654041 120896377371 121355913807 121760883486 124835653271 126851501706 128341608822 133445008669 135035469558 137192754258 142054364067 144348260562 147993418657 148323894653 152489507346 156861966338 157458210746 157541381151 160502982777 161893353006 167680032982 168317397694 168406303989 171032194431 171572154003 177904425237 179176584642 188775865922 189456660642 190277252559 196170312283 200954954046 201679671006 209039348749 209699299337 214813916394 215588613834 221032770749 222613332434 232561086461 235292949507 236187316119 238233308082 241792754742 242711827614 249671306542 251520049473 252476096541 266890017338 268764876963 283163798883 284108728134 284184990963 295986837314 296647789306 301432431069 315082762302 321005965554 322220874591 333919998651 336812607978 342064388862 343144308006 347337211177 355808850474 357349962123 374506959813 380554505118 392340624566 400335026007 418078697498 419398598674 426163092201 442065541498 443980255971 444971683959 465122172922 470585899014 472374632238 472624143453 503040098946 504952193082 505218911967 533713275711 537529753926 551103737611 552843607343 566327597766 568369981926 588510936849 589110891929 602864862138 627118046247 629097898011 644441749182 663098312247 667839997302 694674422354 697683259383 705878848521 708561948357 714699924246 749013919626 754560148419 757428289623 779146663519 800670052014 849491396649 852326184402 866020159103 887960511942 889943367918 925745687317 945248286906 1001759995953 1010437823934 1038267262571 1042011633531 1067426551422 1102207475222 1105687214686 1123520879439 1177021873698 1178221783858 1201005078021 1224373328387 1254236092494 1258195796022 1326196624494 1331940767913 1334915051877 1373192185981 1395366518766 1411757697042 1417123896714 1467895095359 1509120296838 1514856579246 1558293327038 1627927605227 1653311212833 1658530822029 1698982793298 1732040318206 1765532810547 1767332675787 1851491374634 1881354138741 1887293694033 1989294936741 2003519991906 2076534525142 2084023267062 2093049778149 2247041758878 2337439990557 2402010156042 2431360478239 2440602266563 2448746656774 2598060477309 2663881535826 2669830103754 2746384371962 2777237061951 2935790190718 3114801787713 3126034900593 3227893320293 3255855210454 3306622425666 3317061644058 3450506652727 3531065621094 3534665351574 3673119985161 3762708277482 3774587388066 3869905251401 3978589873482 4119576557943 4186099556298 4403685286077 4674879981114 4862720956478 4881204533126 4883782815681 4959933638499 4975592466087 5196120954618 5301998027361 5554474123902 6062141113721 6081279680773 6229603575426 6252069801186 6455786640586 6480219811219 6901013305454 7012319971671 7294081434717 7321806799689 7346239970322 7739810502802 7794181431927 8239153115886 8331711185853 8570613298709 8807370572154 9344405363139 9683679960879 9767565631362 9919867276998 9951184932174 10351519958181 10603996054722 11019359955483 11609715754203 12124282227442 12162559361546 12358729673829 12960439622438 13211055858231 14024639943342 14588162869434 14643613599378 14651348447043 15588362863854 16663422371706 17084215865941 17141226597418 18186423341163 18243839042319 18688810726278 19367359921758 19440659433657 20703039916362 21882244304151 21965420399067 22038719910966 22595253242051 23219431508406 24153546569089 24717459347658 25711839896127 26422111716462 26846624932193 29051039882637 29302696894086 31054559874543 34168431731882 34829147262609 35506826523223 36372846682326 36487678084638 37955573179997 38881318867314 42568957765411 43764488608302 43930840798134 45190506484102 48307093138178 51252647597823 51423679792254 53693249864386 54559270023489 54731517126957 58102079765274 58321978300971 62109119749086 67785759726153 69658294525218 71013653046446 72460639707267 75911146359994 77135519688381 80539874796579 85137915530822 100064692929083 102505295195646 106520479569669 109118540046978 109463034253914 113866719539991 116643956601942 127706873296233 135571519452306 144921279414534 153757942793469 154271039376762 161079749593158 187926374525351 200129385858166 203357279178459 213040959139338 217381919121801 227733439079982 241619624389737 248547785662561 255413746592466 265689012259979 300194078787249 307515885586938 319561438709007 341600158619973 375852749050702 383120619888699 406714558356918 434763838243602 483239248779474 497095571325122 531378024519958 563779123576053 600388157574498 639122877418014 683200317239946 700452850503581 745643356987683 766241239777398 797067036779937 900582236361747 1100711622219913 1127558247152106 1400905701007162 1491286713975366 1594134073559874 1691337370728159 1801164472723494 2101358551510743 2201423244439826 2236930070963049 2391201110339811 3302134866659739 3382674741456318 4202717103021486 4473860141926098 4782402220679622 6304075654532229 6604269733319478 7704981355539391 9906404599979217 12608151309064458 15409962711078782 19812809199958434 23114944066618173 46229888133236346 69344832199854519 138689664399709038
- Sum of all divisors σ(n): 412301834632396800
- Sum of proper divisors (its aliquot sum) s(n): 273612170232687762
- 138689664399709038 is an abundant number, because the sum of its proper divisors (273612170232687762) is greater than itself. Its abundance is 134922505832978724
Bases of 138689664399709038
- Binary: 1111011001011100110000011110101001001000000010011011011102
- Hexadecimal: 0x1ECB983D490136E
- Base-36: 11XLDS96KF3I
Squares and roots of 138689664399709038
- 138689664399709038 squared (1386896643997090382) is 19234823011303920515733779058885444
- 138689664399709038 cubed (1386896643997090383) is 2667671148225541540158377726099471134582462173442872
-
The
square root of 138689664399709038 is 372410612.6303452137 -
The
cube root of 138689664399709038 is 517624.3511134997
Scales and comparisons
How big is 138689664399709038?- 138,689,664,399,709,038 seconds is equal to 4,409,902,332 years, 31 weeks, 5 days, 16 hours, 57 minutes, 18 seconds.
-
To count from 1 to 138,689,664,399,709,038 would take you about thirteen billion, two hundred twenty-nine million, seven hundred six thousand, nine hundred ninety-seven 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 138689664399709038 cubic inches would be around 43135.4 feet tall.
Recreational maths with 138689664399709038
- 138689664399709038 backwards is 830907993466986831
- 138689664399709038 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138689664399709038's digits is 99
- More coming soon!
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"Number 138689664399709038 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138689664399709038 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138689664399709038/
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Numbermatics. 2024. "Number 138689664399709038 - Facts about the integer". https://numbermatics.com/n/138689664399709038/
The information we have on file for 138689664399709038 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 138689664399709038, math, Factors of 138689664399709038, curriculum, school, college, exams, university, Prime factorization of 138689664399709038, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred eighty-nine trillion, six hundred sixty-four billion, three hundred ninety-nine million, seven hundred nine thousand and thirty-eight.