137448976220190768
137,448,976,220,190,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 137448976220190768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 450 divisors.
137448976220190768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred fifty divisors.
Prime factorization of 137448976220190768:
24 × 3 × 74 × 1792 × 61012
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 179 × 179 × 6101 × 6101)See below for interesting mathematical facts about the number 137448976220190768 from the Numbermatics database.
Names of 137448976220190768
- Cardinal: 137448976220190768 can be written as One hundred thirty-seven quadrillion, four hundred forty-eight trillion, nine hundred seventy-six billion, two hundred twenty million, one hundred ninety thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37448976220190768 × 1017
Factors of 137448976220190768
Divisors of 137448976220190768
- Number of divisors d(n): 450
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 179 196 294 336 343 358 392 537 588 686 716 784 1029 1074 1176 1253 1372 1432 2058 2148 2352 2401 2506 2744 2864 3759 4116 4296 4802 5012 5488 6101 7203 7518 8232 8592 8771 9604 10024 12202 14406 15036 16464 17542 18303 19208 20048 24404 26313 28812 30072 32041 35084 36606 38416 42707 48808 52626 57624 60144 61397 64082 70168 73212 85414 96123 97616 105252 115248 122794 128121 128164 140336 146424 170828 184191 192246 210504 224287 245588 256242 256328 292848 298949 341656 368382 384492 421008 429779 448574 491176 512484 512656 597898 672861 683312 736764 768984 859558 896847 897148 982352 1024968 1092079 1195796 1289337 1345722 1473528 1537968 1570009 1719116 1793694 1794296 2049936 2092643 2184158 2391592 2578674 2691444 2947056 3140018 3276237 3438232 3587388 3588592 4185286 4368316 4710027 4783184 5157348 5382888 6277929 6280036 6552474 6876464 7174776 7644553 8370572 8736632 9420054 10314696 10765776 10990063 12555858 12560072 13104948 14349552 14648501 15289106 16741144 17473264 18840108 20629392 21980126 22933659 25111716 25120144 26209896 29297002 30578212 32970189 33482288 37222201 37680216 43945503 43960252 45867318 50223432 52419792 53511871 58594004 61156424 65940378 74444402 75360432 76930441 87891006 87920504 91734636 100446864 107023742 111666603 117188008 122312848 131880756 148888804 153860882 160535613 175782012 175841008 183469272 195482141 214047484 223333206 230791323 234376016 260555407 263761512 297777608 307721764 321071226 351564024 366938544 374583097 390964282 428094968 446666412 461582646 521110814 527523024 586446423 595555216 615443528 642142452 703128048 749166194 781666221 781928564 856189936 893332824 923165292 1042221628 1123749291 1172892846 1230887056 1284284904 1368374987 1498332388 1563332442 1563857128 1786665648 1823887849 1846330584 2084443256 2247498582 2345785692 2568569808 2622081679 2736749974 2996664776 3126664884 3127714256 3647775698 3692661168 4105124961 4168886512 4494997164 4691571384 5244163358 5471663547 5473499948 5993329552 6253329768 6662773979 7295551396 7866245037 8210249922 8989994328 9383142768 9578624909 10488326716 10943327094 10946999896 12506659536 12767214943 13325547958 14591102792 15732490074 16420499844 17979988656 19157249818 19988321937 20976653432 21886654188 21893999792 25534429886 26651095916 28735874727 29182205584 31464980148 32840999688 38301644829 38314499636 39976643874 41953306864 43773308376 46639417853 51068859772 53302191832 57471749454 62929960296 65681999376 67050374363 76603289658 76628999272 79953287748 87546616752 89370504601 93278835706 102137719544 106604383664 114943498908 125859920592 134100748726 139918253559 153206579316 153257998544 159906575496 178741009202 186557671412 201151123089 204275439088 229886997816 268111513803 268201497452 279836507118 306413158632 319813150992 326475924971 357482018404 373115342824 402302246178 459773995632 469352620541 536223027606 536402994904 559673014236 612826317264 652951849942 714964036808 746230685648 804604492356 938705241082 979427774913 1072446055212 1072805989808 1119346028472 1192636542241 1305903699884 1408057861623 1429928073616 1609208984712 1877410482164 1958855549826 2144892110424 2238692056944 2285331474797 2385273084482 2611807399768 2816115723246 3218417969424 3577909626723 3754820964328 3917711099652 4289784220848 4570662949594 4770546168964 5223614799536 5632231446492 6855994424391 7155819253446 7509641928656 7835422199304 8348455795687 9141325899188 9541092337928 11264462892984 13711988848782 14311638506892 15670844398608 15997320323579 16696911591374 18282651798376 19082184675856 22528925785968 25045367387061 27423977697564 28623277013784 31994640647158 33393823182748 36565303596752 47991960970737 50090734774122 54847955395128 57246554027568 58439190569809 63989281294316 66787646365496 95983921941474 100181469548244 109695910790256 116878381139618 127978562588632 133575292730992 175317571709427 191967843882948 200362939096488 233756762279236 255957125177264 350635143418854 383935687765896 400725878192976 409074333988663 467513524558472 701270286837708 767871375531792 818148667977326 935027049116944 1227223001965989 1402540573675416 1636297335954652 2454446003931978 2805081147350832 2863520337920641 3272594671909304 4908892007863956 5727040675841282 6545189343818608 8590561013761923 9817784015727912 11454081351682564 17181122027523846 19635568031455824 22908162703365128 34362244055047692 45816325406730256 68724488110095384 137448976220190768
- Sum of all divisors σ(n): 416626652125073012
- Sum of proper divisors (its aliquot sum) s(n): 279177675904882244
- 137448976220190768 is an abundant number, because the sum of its proper divisors (279177675904882244) is greater than itself. Its abundance is 141728699684691476
Bases of 137448976220190768
- Binary: 1111010000101000100011101100110100101100001111000001100002
- Hexadecimal: 0x1E8511D9A587830
- Base-36: 11LDLFZ23NLC
Squares and roots of 137448976220190768
- 137448976220190768 squared (1374489762201907682) is 18892221063978567220991110312429824
- 137448976220190768 cubed (1374489762201907683) is 2596716443769377215775611669476177681526866892664832
-
The
square root of 137448976220190768 is 370741117.5202863413 -
The
cube root of 137448976220190768 is 516076.2063951863
Scales and comparisons
How big is 137448976220190768?- 137,448,976,220,190,768 seconds is equal to 4,370,452,286 years, 10 weeks, 4 days, 3 hours, 12 minutes, 48 seconds.
-
To count from 1 to 137,448,976,220,190,768 would take you about thirteen billion, one hundred eleven million, three hundred fifty-six thousand, eight hundred fifty-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 137448976220190768 cubic inches would be around 43006.4 feet tall.
Recreational maths with 137448976220190768
- 137448976220190768 backwards is 867091022679844731
- 137448976220190768 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137448976220190768's digits is 84
- 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 137448976220190768 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 137448976220190768 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/137448976220190768/
Chicago style:
Numbermatics. 2024. "Number 137448976220190768 - Facts about the integer". https://numbermatics.com/n/137448976220190768/
The information we have on file for 137448976220190768 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 137448976220190768, math, Factors of 137448976220190768, curriculum, school, college, exams, university, Prime factorization of 137448976220190768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, four hundred forty-eight trillion, nine hundred seventy-six billion, two hundred twenty million, one hundred ninety thousand, seven hundred sixty-eight.