138947366979849384
138,947,366,979,849,384 is an even composite number composed of six prime numbers multiplied together.
What does the number 138947366979849384 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138947366979849384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138947366979849384:
23 × 32 × 113 × 372 × 473 × 1012
(2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 37 × 37 × 47 × 47 × 47 × 101 × 101)See below for interesting mathematical facts about the number 138947366979849384 from the Numbermatics database.
Names of 138947366979849384
- Cardinal: 138947366979849384 can be written as One hundred thirty-eight quadrillion, nine hundred forty-seven trillion, three hundred sixty-six billion, nine hundred seventy-nine million, eight hundred forty-nine thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38947366979849384 × 1017
Factors of 138947366979849384
Divisors of 138947366979849384
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 47 66 72 74 88 94 99 101 111 121 132 141 148 188 198 202 222 242 264 282 296 303 333 363 376 396 404 407 423 444 484 517 564 606 666 726 792 808 814 846 888 909 968 1034 1089 1111 1128 1212 1221 1331 1332 1369 1452 1551 1628 1692 1739 1818 2068 2178 2209 2222 2424 2442 2662 2664 2738 2904 3102 3256 3333 3384 3478 3636 3663 3737 3993 4107 4136 4356 4418 4444 4477 4653 4747 4884 5217 5324 5476 5687 6204 6627 6666 6956 7272 7326 7474 7986 8214 8712 8836 8888 8954 9306 9494 9768 9999 10201 10434 10648 10952 11211 11374 11979 12221 12321 12408 13254 13332 13431 13912 14241 14652 14948 15059 15651 15972 16428 17061 17672 17908 18612 18988 19129 19881 19998 20402 20868 22422 22748 23958 24299 24442 24642 26508 26664 26862 28482 29304 29896 30118 30603 31302 31944 32856 33633 34122 35816 36663 37224 37976 38258 39762 39996 40293 40804 41107 41736 42723 44844 45177 45496 47916 48598 48884 49247 49284 51183 52217 53016 53724 56964 57387 60236 61206 62557 62604 64343 67266 68244 72897 73326 76516 79524 79992 80586 81608 81733 82214 85446 89688 90354 91809 95832 97196 97768 98494 98568 102366 103823 104434 107448 109989 112211 113928 114774 120472 122412 123321 125114 125208 128686 134431 134532 135531 136488 138269 145794 146652 147741 153032 156651 159048 161172 163466 164428 165649 170892 172161 175639 180708 183618 187671 193029 194392 196988 204732 207646 208868 210419 218691 219978 223109 224422 229548 244824 245199 246642 250228 257372 267289 268862 269064 271062 276538 291588 293304 295482 311469 313302 322344 326932 328856 331298 336633 341784 344322 351278 361416 367236 369963 375342 377437 386058 393976 403293 409464 414807 415292 417736 420838 437382 439956 443223 446218 448844 452177 459096 469953 479447 490398 493284 496947 500456 514744 526917 534578 537724 542124 553076 563013 574387 579087 583176 590964 622938 626604 631257 653864 662596 669327 673266 688644 702556 707773 734472 735597 739926 750684 754874 772116 801867 806586 829614 830584 841676 874764 879912 886446 892436 897688 899063 904354 934407 939906 958894 980796 986568 993894 1009899 1053834 1069156 1075448 1084248 1106152 1126026 1132311 1142053 1148774 1158174 1181928 1209879 1234321 1244421 1245876 1253208 1262514 1325192 1338654 1346532 1356531 1377288 1405112 1415546 1438341 1471194 1479852 1490841 1501368 1509748 1520959 1544232 1580751 1603734 1613172 1659228 1683352 1723161 1749528 1772892 1784872 1798126 1808708 1822139 1868814 1879812 1893771 1917788 1932029 1961592 1987788 2007981 2019798 2107668 2123319 2138312 2252052 2264622 2284106 2297548 2314609 2316348 2405601 2419758 2454199 2468642 2488842 2491752 2525028 2677308 2693064 2697189 2713062 2831092 2876682 2940179 2942388 2959704 2981682 3019496 3024121 3041918 3161502 3207468 3226344 3318456 3396933 3426159 3446322 3545784 3596252 3617416 3644278 3702963 3737628 3759624 3787542 3835576 3841451 3864058 3975576 4015962 4039596 4069593 4151807 4215336 4246638 4315023 4504104 4529244 4562877 4568212 4595096 4629218 4632696 4811202 4839516 4908398 4937284 4973947 4977684 5050056 5169483 5273917 5354616 5394378 5426124 5466417 5662184 5753364 5796087 5880358 5884776 5963364 6048242 6083836 6318257 6323004 6369957 6414936 6498643 6793866 6852318 6892644 6943827 7192504 7288556 7362597 7405926 7475256 7575084 7682902 7728116 7785503 8031924 8079192 8091567 8139186 8255033 8303614 8493276 8630046 8820537 9058488 9072363 9125754 9136424 9258436 9622404 9679032 9816796 9874568 9889693 9947894 9955368 10278477 10338966 10486123 10547834 10788756 10852248 10932834 11108889 11506728 11524353 11592174 11760716 11926728 12096484 12167672 12455421 12562583 12636514 12646008 12739914 12997286 13577531 13587732 13688631 13704636 13785288 13887654 13965169 14577112 14725194 14811852 14921841 15150168 15365804 15456232 15571006 15821751 16063848 16183134 16278372 16399251 16510066 16607228 16730549 16986552 17260092 17388261 17641074 17739539 18144726 18251508 18516872 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111525839634 111656237704 112569880104 114844019096 117559924953 119971063916 120952743516 121664552328 122711310744 123396233284 125613267417 128150909183 129199521483 129959862714 131849387076 137585409016 139800991836 140839118013 141667958454 144903781836 147831130964 148701119512 153642674196 154546863768 154783585143 155694488994 156746566604 157910526257 158839832206 165084149934 167288759451 167484356556 172266028644 173279816952 179956595874 184066966116 185094349926 187785490684 188890611272 189179937397 196316286408 197774080614 201769516586 206378113524 207592651992 209701487754 212501937681 220112199912 221746696446 223051679268 235119849906 238259748309 239942127832 241905487032 246792466568 251226534834 256301818366 258399042966 259919725428 263698774152 269934893811 277641524889 279601983672 281678236026 283335916908 289807563672 295662261928 302654274879 307285348392 309567170286 311388977988 313493133208 315821052514 317679664412 330168299868 332620044669 334577518902 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1263284210056 1293159174483 1330480178676 1338310075608 1357358566124 1409660001013 1410719099436 1421194736313 1429558489854 1449905741087 1513439499176 1537810910196 1549230298143 1626142440604 1690069416156 1700015501448 1702619436573 1724212232644 1737015788827 1747238154266 1815925649274 1894926315084 1906077986472 2036037849186 2065640397524 2159479150488 2219464682446 2221132199112 2270159248764 2306716365294 2421234199032 2439213660906 2586318348966 2620857231399 2660960357352 2714717132248 2819320002026 2821438198872 2842389472626 2859116979708 2899811482174 3054056773779 3075621820392 3098460596286 3252284881208 3329197023669 3380138832312 3405238873146 3448424465288 3474031577654 3494476308532 3631851298548 3658820491359 3732736056841 3789852630168 3879477523449 4072075698372 4131280795048 4228980003039 4349717223261 4438929364892 4540318497528 4613432730588 4647690894429 4741583639771 4878427321812 5172636697932 5211047366481 5241714462798 5638640004052 5684778945252 5718233959416 5799622964348 6108113547558 6196921192572 6658394047338 6810477746292 6948063155308 6988952617064 7263702597096 7317640982718 7465472113682 7758955046898 7862571694197 8144151396744 8457960006078 8699434446522 8877858729784 9226865461176 9295381788858 9483167279542 9756854643624 9987591071007 10345273395864 10422094732962 10483428925596 11198208170523 11277280008104 11369557890504 11599245928696 12216227095116 12393842385144 12686940009117 13049151669783 13316788094676 13620955492584 13896126310616 14224750919313 14635281965436 14930944227364 15517910093796 15633142099443 15725143388394 15948963151957 16915920012156 17398868893044 18590763577716 18966334559084 19107173677097 19975182142014 20844189465924 20966857851192 22396416341046 24432454190232 25373880018234 26098303339566 26633576189352 28449501838626 29270563930872 29861888454728 31035820187592 31266284198886 31450286776788 31897926303914 33594624511569 33831840024312 34797737786088 37181527155432 37932669118168 38214347354194 39950364284028 41060096625251 41688378931848 42674252757939 44792832682092 47846889455871 50747760036468 52157420037481 52196606679132 56899003677252 57321521031291 62532568397772 62900573553576 63795852607828 67189249023138 76428694708388 79900728568056 82120193250502 85348505515878 89585665364184 95693778911742 101495520072936 104314840074962 104393213358264 113798007354504 114643042062582 123180289875753 125065136795544 127591705215656 134378498046276 143540668367613 152857389416776 156472260112443 164240386501004 170697011031756 171964563093873 175438594671527 191387557823484 208629680149924 229286084125164 246360579751506 268756996092552 287081336735226 312944520224886 328480773002008 341394022063512 343929126187746 350877189343054 369540869627259 382775115646968 417259360299848 458572168250328 469416780337329 492721159503012 526315784014581 574162673470452 625889040449772 687858252375492 701754378686108 739081739254518 938833560674658 985442319006024 1052631568029162 1148325346940904 1251778080899544 1375716504750984 1403508757372216 1478163478509036 1578947352043743 1877667121349316 1929824541386797 2105263136058324 2956326957018072 3157894704087486 3755334242698632 3859649082773594 4210526272116648 5789473624160391 6315789408174972 7719298165547188 11578947248320782 12631578816349944 15438596331094376 17368420872481173 23157894496641564 34736841744962346 46315788993283128 69473683489924692 138947366979849384
- Sum of all divisors σ(n): 439002503000006400
- Sum of proper divisors (its aliquot sum) s(n): 300055136020157016
- 138947366979849384 is an abundant number, because the sum of its proper divisors (300055136020157016) is greater than itself. Its abundance is 161107769040307632
Bases of 138947366979849384
- Binary: 1111011011010001111100100111000110100111101001100101010002
- Hexadecimal: 0x1EDA3E4E34F4CA8
- Base-36: 1204QB6P3KQ0
Squares and roots of 138947366979849384
- 138947366979849384 squared (1389473669798493842) is 19306370790632938927149903325179456
- 138947366979849384 cubed (1389473669798493843) is 2682569387295119863243623132065780537349537651055104
-
The
square root of 138947366979849384 is 372756444.5852672095 -
The
cube root of 138947366979849384 is 517944.7561373437
Scales and comparisons
How big is 138947366979849384?- 138,947,366,979,849,384 seconds is equal to 4,418,096,477 years, 27 weeks, 5 days, 7 hours, 56 minutes, 24 seconds.
-
To count from 1 to 138,947,366,979,849,384 would take you about thirteen billion, two hundred fifty-four million, two hundred eighty-nine thousand, four hundred thirty-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 138947366979849384 cubic inches would be around 43162.1 feet tall.
Recreational maths with 138947366979849384
- 138947366979849384 backwards is 483948979663749831
- The number of decimal digits it has is: 18
- The sum of 138947366979849384's digits is 108
- More coming soon!
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"Number 138947366979849384 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
APA style:
Numbermatics. (2024). Number 138947366979849384 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/138947366979849384/
Chicago style:
Numbermatics. 2024. "Number 138947366979849384 - Facts about the integer". https://numbermatics.com/n/138947366979849384/
The information we have on file for 138947366979849384 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 138947366979849384, math, Factors of 138947366979849384, curriculum, school, college, exams, university, Prime factorization of 138947366979849384, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred forty-seven trillion, three hundred sixty-six billion, nine hundred seventy-nine million, eight hundred forty-nine thousand, three hundred eighty-four.