138438116499474816
138,438,116,499,474,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 138438116499474816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
138438116499474816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138438116499474816:
27 × 3 × 294 × 1072 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 29 × 29 × 29 × 29 × 107 × 107 × 211 × 211)See below for interesting mathematical facts about the number 138438116499474816 from the Numbermatics database.
Names of 138438116499474816
- Cardinal: 138438116499474816 can be written as One hundred thirty-eight quadrillion, four hundred thirty-eight trillion, one hundred sixteen billion, four hundred ninety-nine million, four hundred seventy-four thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38438116499474816 × 1017
Factors of 138438116499474816
Divisors of 138438116499474816
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 107 116 128 174 192 211 214 232 321 348 384 422 428 464 633 642 696 841 844 856 928 1266 1284 1392 1682 1688 1712 1856 2523 2532 2568 2784 3103 3364 3376 3424 3712 5046 5064 5136 5568 6119 6206 6728 6752 6848 9309 10092 10128 10272 11136 11449 12238 12412 13456 13504 13696 18357 18618 20184 20256 20544 22577 22898 24389 24476 24824 26912 27008 34347 36714 37236 40368 40512 41088 44521 45154 45796 48778 48952 49648 53824 67731 68694 73167 73428 74472 80736 81024 89042 89987 90308 91592 97556 97904 99296 107648 133563 135462 137388 146334 146856 148944 161472 177451 178084 179974 180616 183184 195112 195808 198592 267126 269961 270924 274776 292668 293712 297888 322944 332021 354902 356168 359948 361232 366368 390224 391616 397184 532353 534252 539922 541848 549552 585336 587424 595776 654733 664042 707281 709804 712336 719896 722464 732736 780448 783232 996063 1064706 1068504 1079844 1083696 1099104 1170672 1174848 1191552 1291109 1309466 1328084 1414562 1419608 1424672 1439792 1444928 1465472 1560896 1964199 1992126 2121843 2129412 2137008 2159688 2167392 2198208 2341344 2349696 2415739 2582218 2609623 2618932 2656168 2829124 2839216 2849344 2879584 2889856 3121792 3873327 3928398 3984252 4243686 4258824 4274016 4319376 4334784 4396416 4682688 4763747 4831478 5146079 5164436 5219246 5237864 5312336 5658248 5678432 5698688 5759168 7247217 7746654 7828869 7856796 7968504 8487372 8517648 8548032 8638752 8669568 9365376 9527494 9628609 9662956 10292158 10328872 10438492 10475728 10624672 11316496 11356864 11518336 14291241 14494434 15438237 15493308 15657738 15713592 15937008 16974744 17035296 17096064 17277504 18987257 19054988 19257218 19325912 20584316 20657744 20876984 20951456 21249344 22632992 22713728 28582482 28885827 28988868 30876474 30986616 31315476 31427184 31874016 33949488 34070592 34555008 37442161 37974514 38109976 38514436 38651824 41168632 41315488 41753968 41902912 42498688 45265984 56961771 57164964 57771654 57977736 61752948 61973232 62630952 62854368 63748032 67898976 68141184 70056431 74884322 75679067 75949028 76219952 77028872 77303648 82337264 82630976 83507936 83805824 90531968 112326483 113923542 114329928 115543308 115955472 123505896 123946464 125261904 125708736 127496064 135797952 138148663 140112862 149236291 149768644 151358134 151898056 152439904 154057744 154607296 164674528 165261952 167015872 210169293 224652966 227037201 227847084 228659856 231086616 231910944 247011792 247892928 250523808 251417472 271595904 276297326 279229661 280225724 298472582 299537288 302716268 303796112 304879808 308115488 309214592 329349056 334031744 414445989 420338586 447708873 449305932 454074402 455694168 457319712 462173232 463821888 494023584 495785856 501047616 509720929 550630453 552594652 558459322 560451448 596945164 599074576 605432536 607592224 609759616 616230976 658698112 828891978 837688983 840677172 895417746 898611864 908148804 911388336 914639424 924346464 927643776 988047168 1002095232 1019441858 1085822669 1101260906 1105189304 1116918644 1120902896 1193890328 1198149152 1210865072 1215184448 1232461952 1529162787 1651891359 1657783956 1675377966 1681354344 1790835492 1797223728 1816297608 1822776672 1829278848 1848692928 1976094336 2031636499 2038883716 2171645338 2202521812 2210378608 2233837288 2241805792 2387780656 2396298304 2421730144 2430368896 3058325574 3257468007 3303782718 3315567912 3350755932 3362708688 3581670984 3594447456 3632595216 3645553344 3697385856 4006311227 4063272998 4077767432 4343290676 4405043624 4420757216 4467674576 4483611584 4775561312 4792596608 4843460288 6094909497 6116651148 6514936014 6607565436 6631135824 6701511864 6725417376 7163341968 7188894912 7265190432 7291106688 8012622454 8097660169 8126545996 8155534864 8686581352 8810087248 8841514432 8935349152 8967223168 9551122624 9686920576 12018933681 12189818994 12233302296 13029872028 13215130872 13262271648 13403023728 13450834752 14326683936 14377789824 14530380864 14781906941 15968283137 16025244908 16195320338 16253091992 16311069728 17373162704 17620174496 17683028864 17870698304 19102245248 24037867362 24292980507 24379637988 24466604592 26059744056 26430261744 26524543296 26806047456 26901669504 28653367872 29060761728 29563813882 31488857401 31936566274 32050489816 32390640676 32506183984 32622139456 34746325408 35240348992 35741396608 44345720823 47904849411 48075734724 48585961014 48759275976 48933209184 52119488112 52860523488 53049086592 53612094912 57306735744 58917458471 59127627764 62977714802 63873132548 64100979632 64781281352 65012367968 65244278912 69492650816 70480697984 88691441646 94466572203 95809698822 96151469448 97171922028 97518551952 97866418368 104238976224 105721046976 107224189824 116183025583 117834916942 118255255528 125955429604 127746265096 128201959264 129562562704 130024735936 138985301632 176752375413 177382883292 188933144406 191619397644 192302938896 194343844056 195037103904 195732836736 208477952448 211442093952 232366051166 235669833884 236510511056 251910859208 255492530192 256403918528 259125125408 260049471872 348549076749 353504750826 354765766584 377866288812 383238795288 384605877792 388687688112 390074207808 416955904896 428675301289 464732102332 471339667768 473021022112 503821718416 510985060384 512807837056 518250250816 697098153498 707009501652 709531533168 755732577624 766477590576 769211755584 777375376224 780148415616 857350602578 929464204664 942679335536 946042044224 1007643436832 1021970120768 1036500501632 1286025903867 1394196306996 1414019003304 1419063066336 1511465155248 1532955181152 1538423511168 1554750752448 1708606295659 1714701205156 1858928409328 1885358671072 1892084088448 2015286873664 2043940241536 2572051807734 2788392613992 2828038006608 2838126132672 3022930310496 3065910362304 3109501504896 3369307741907 3417212591318 3429402410312 3717856818656 3770717342144 4030573747328 5125818886977 5144103615468 5576785227984 5656076013216 5676252265344 6045860620992 6131820724608 6738615483814 6834425182636 6858804820624 7435713637312 7541434684288 10107923225721 10251637773954 10288207230936 11153570455968 11312152026432 12091721241984 12431583737381 13477230967628 13668850365272 13717609641248 14871427274624 20215846451442 20503275547908 20576414461872 22307140911936 22624304052864 24863167474762 26954461935256 27337700730544 27435219282496 37294751212143 40431692902884 41006551095816 41152828923744 44614281823872 49726334949524 53908923870512 54675401461088 54870438564992 74589502424286 80863385805768 82013102191632 82305657847488 99452669899048 107817847741024 109350802922176 149179004848572 161726771611536 164026204383264 164611315694976 198905339798096 215635695482048 218701605844352 298358009697144 323453543223072 328052408766528 360515928384049 397810679596192 431271390964096 596716019394288 646907086446144 656104817533056 721031856768098 795621359192384 1081547785152147 1193432038788576 1293814172892288 1442063713536196 1591242718384768 2163095570304294 2386864077577152 2884127427072392 4326191140608588 4773728155154304 5768254854144784 8652382281217176 11536509708289568 17304764562434352 23073019416579136 34609529124868704 46146038833158272 69219058249737408 138438116499474816
- Sum of all divisors σ(n): 386282689872681420
- Sum of proper divisors (its aliquot sum) s(n): 247844573373206604
- 138438116499474816 is an abundant number, because the sum of its proper divisors (247844573373206604) is greater than itself. Its abundance is 109406456873731788
Bases of 138438116499474816
- Binary: 1111010111101010010111011110001010101001101001001100000002
- Hexadecimal: 0x1EBD4BBC5534980
- Base-36: 11V47SQTJIIO
Squares and roots of 138438116499474816
- 138438116499474816 squared (1384381164994748162) is 19165112099922161282448403818233856
- 138438116499474816 cubed (1384381164994748163) is 2653182021614518594318296012676741998661348670570496
-
The
square root of 138438116499474816 is 372072730.1207047827 -
The
cube root of 138438116499474816 is 517311.2152605391
Scales and comparisons
How big is 138438116499474816?- 138,438,116,499,474,816 seconds is equal to 4,401,903,887 years, 24 weeks, 4 days, 5 hours, 13 minutes, 36 seconds.
-
To count from 1 to 138,438,116,499,474,816 would take you about thirteen billion, two hundred five million, seven hundred eleven thousand, six hundred sixty-two 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 138438116499474816 cubic inches would be around 43109.3 feet tall.
Recreational maths with 138438116499474816
- 138438116499474816 backwards is 618474994611834831
- 138438116499474816 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138438116499474816's digits is 87
- More coming soon!
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The information we have on file for 138438116499474816 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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