138439641313974
138,439,641,313,974 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138439641313974 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138439641313974 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138439641313974:
2 × 3 × 73 × 11 × 13 × 234 × 412
(2 × 3 × 7 × 7 × 7 × 11 × 13 × 23 × 23 × 23 × 23 × 41 × 41)See below for interesting mathematical facts about the number 138439641313974 from the Numbermatics database.
Names of 138439641313974
- Cardinal: 138439641313974 can be written as One hundred thirty-eight trillion, four hundred thirty-nine billion, six hundred forty-one million, three hundred thirteen thousand, nine hundred seventy-four.
Scientific notation
- Scientific notation: 1.38439641313974 × 1014
Factors of 138439641313974
Divisors of 138439641313974
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 6 7 11 13 14 21 22 23 26 33 39 41 42 46 49 66 69 77 78 82 91 98 123 138 143 147 154 161 182 231 246 253 273 286 287 294 299 322 343 429 451 462 483 506 529 533 539 546 574 598 637 686 759 858 861 897 902 943 966 1001 1029 1058 1066 1078 1127 1274 1353 1518 1587 1599 1617 1681 1722 1771 1794 1886 1911 2002 2009 2058 2093 2254 2706 2829 3003 3157 3174 3198 3234 3289 3362 3381 3542 3703 3731 3773 3822 4018 4186 4459 5043 5313 5658 5819 5863 6006 6027 6279 6314 6578 6601 6762 6877 7007 7406 7462 7546 7889 8918 9471 9867 10086 10373 10626 11109 11193 11319 11638 11726 11767 12054 12167 12259 12397 12558 13202 13377 13754 14014 14063 14651 15778 17457 17589 18491 18942 19734 19803 20631 20746 21021 21689 21853 22099 22218 22386 22638 23023 23534 23667 24334 24518 24794 25921 26117 26754 28126 29302 31119 34914 35178 35301 36501 36777 36982 37191 38663 39606 40733 41041 41262 42042 42189 43378 43706 43953 44198 46046 46207 47334 48139 49049 51842 52234 55473 62238 65067 65559 66297 69069 70602 72611 73002 73554 74382 75647 77326 77763 78351 81466 82082 82369 84378 85169 85813 86779 87906 92414 96278 98098 102557 110946 115989 122199 123123 129437 130134 131118 132594 133837 134849 138138 138621 144417 145222 147147 151294 151823 152971 154693 155526 156702 158171 161161 164738 170338 171626 173558 181447 182819 205114 217833 226941 231978 238579 240383 244398 246246 247107 255507 257439 258874 260337 267674 269698 270641 277242 279841 281957 285131 287287 288834 294294 303646 305942 307671 309386 316342 322322 323449 336973 362894 365638 388311 401511 404547 425293 435666 453882 455469 458913 464079 474513 477158 480766 483483 494214 498847 502619 508277 511014 514878 520674 529529 541282 544341 548457 559682 563914 570262 574574 576583 596183 600691 615342 646898 673946 715737 721149 776622 803022 809094 811923 839523 845871 850586 855393 861861 889249 906059 910938 917826 928158 936859 943943 949026 966966 970347 997694 1005238 1010919 1016554 1059058 1062761 1070797 1088682 1096914 1107197 1128127 1153166 1192366 1201382 1275879 1431474 1442298 1496541 1507857 1524831 1588587 1623846 1670053 1679046 1682681 1691742 1710786 1723722 1729749 1739881 1778498 1788549 1802073 1812118 1873718 1887886 1894487 1940694 1958887 1973699 1995917 2011009 2021838 2125522 2141594 2214394 2256254 2358811 2551758 2667747 2718177 2810577 2831829 2977051 2993082 3015714 3049662 3078251 3101527 3177174 3188283 3212391 3321591 3340106 3365362 3384381 3459498 3479762 3491929 3518333 3557939 3577098 3604146 3637933 3706703 3788974 3917774 3947398 3991834 4022018 4173281 4204837 4717622 5010159 5048043 5219643 5335494 5436354 5487317 5528809 5621154 5663658 5683461 5876661 5921097 5954102 5987751 6033027 6156502 6203054 6224743 6342413 6376566 6424782 6485011 6558013 6607601 6643182 6768762 6983858 7036666 7076433 7115878 7275866 7413406 7439327 7495579 7750379 8346562 8409674 8931153 9234753 9304581 9781739 10020318 10096086 10439286 10475787 10554999 10673817 10913799 10974634 11057618 11120109 11366922 11473481 11560237 11690371 11753322 11778767 11842194 11975502 12066054 12179167 12449486 12519843 12614511 12684826 12970022 13116026 13215202 13261409 13712209 13815893 14152866 14878654 14991158 15500758 16461951 16586427 17862306 18469506 18609162 18674229 19027239 19455033 19563478 19674039 19822803 20452727 20839357 20951574 21109998 21347634 21547757 21710689 21827598 22240218 22317981 22486737 22946962 23120474 23251137 23380742 23557534 24358334 24443503 24628331 25039686 25229022 25465531 25946921 26522818 27424418 27631786 29345217 32923902 33172854 34420443 34680711 35071113 35336301 36537501 37348458 38054478 38411219 38701663 38910066 39348078 39645606 39784227 40017263 40905454 41136627 41447679 41678714 43095514 43421378 43573201 44635962 44973474 45395077 45906091 46253207 46502274 48887006 49256662 50931062 51893842 54252653 58690434 61358181 62518071 64643271 65132067 68472173 68840886 69361422 70142226 70672602 71335121 73075002 73330509 73884993 76396593 76822438 77403326 77840763 79568454 80034526 80314367 80921659 81832597 82273254 82451369 82895358 85254169 87146402 90790154 91812182 92506414 95985463 96711251 108505306 115233657 116104989 120051789 122716362 125036142 126208291 127162607 129286542 130264134 130719603 136185231 136944346 137718273 138759621 142670242 143169089 145875499 146661018 147769986 149155253 150834299 151974823 152793186 155681526 160628734 161843318 162757959 163665194 164902738 170508338 171104521 172398317 178258717 191970926 193422502 205416519 214005363 224979997 230467314 232209978 240103578 240943101 242764977 245497791 247354107 252416582 254325214 255762507 261439206 265885451 268878533 270911641 272370462 275436546 277519242 280120841 286338178 287956389 290133753 291750998 298310506 301668598 303949646 305012407 317765539 325515918 342209042 344796634 356517434 378624873 381487821 410833038 428010726 429507267 437626497 447465759 449959994 452502897 455924469 470412721 479305211 481886202 485529954 490995582 494708214 499345847 511525014 513313563 517194951 531770902 534776151 537757066 541823282 560241682 562200569 566451613 575912778 580267506 596779183 610024814 635531078 674939991 757249746 762975642 797656353 806635599 812734923 840362523 859014534 875252994 883458037 890138249 894931518 905005794 911848938 915037221 940825442 953296617 958610422 998691694 1002183623 1026627126 1034389902 1044086771 1055840093 1063823761 1069552302 1124401138 1132903226 1193558366 1247811019 1349879982 1411238163 1437915633 1498037541 1574859979 1595312706 1613271198 1625469846 1640707783 1680725046 1686601707 1699354839 1766916074 1780276498 1790337549 1830074442 1861198157 1882149731 1896381487 1906593234 1960845887 2004367246 2088173542 2111680186 2127647522 2224358773 2495622038 2650374111 2670414747 2822476326 2875831266 2924739961 2996075082 3006550869 3132260313 3149719958 3167520279 3191471283 3281415566 3292889047 3355136477 3373203414 3398709678 3495420929 3580675098 3722396314 3743433057 3764299462 3792762974 3921691774 3935403983 3965161291 4448717546 4724579937 4922123349 5174539931 5300748222 5340829494 5583594471 5646449193 5689144461 5849479922 5882537661 6013101738 6115365373 6184206259 6230967743 6264520626 6335040558 6382942566 6585778094 6673076319 6710272954 6990841858 7015285361 7308607397 7486866114 7870807966 7930322582 8774219883 9449159874 9844246698 9878667141 10065409431 10349079862 10486262787 11024019853 11167188942 11292898386 11378288922 11484954481 11765075322 11806211949 11895483873 12230730746 12368412518 12461935486 13028387099 13346152638 13725921209 14030570722 14617214794 15523619793 17548439766 18346096119 18552618777 18692903229 19757334282 20130818862 20473179727 20972525574 21045856083 21925822191 22048039706 22969908962 23050223329 23612423898 23790967746 24467946503 26056774198 27451842418 31047239586 33072059559 34454863443 36221779517 36692192238 37105237554 37385806458 39085161297 40946359454 41177763627 42091712166 42807557611 43289443813 43616774201 43851644382 46100446658 48935893006 51160251779 61419539181 66144119118 67269019103 68909726886 69150669987 72443559034 73403839509 77168138971 78170322594 80394681367 82355527254 85615115222 86578887626 87233548402 91198709693 102320503558 108665338551 122839078362 128422672833 129868331439 130850322603 134538038206 138301339974 143312258089 146807679018 153480755337 154336277942 160789362734 161351563303 182397419386 201807057309 217330677102 231504416913 241184044101 253552456619 256845345666 259736662878 261700645206 273596129079 286624516178 299652903277 306961510674 322703126606 403614114618 429936774267 463008833826 470883133721 482368088202 484054689909 507104913238 547192258158 562762769569 599305806554 760657369857 859873548534 898958709831 941766267442 968109379818 1003185806623 1125525539138 1412649401163 1521314739714 1688288308707 1774867196333 1797917419662 2006371613246 2097570322939 2825298802326 3009557419869 3296181936047 3376576617414 3549734392666 4195140645878 5324601588999 6019114839738 6292710968817 6592363872094 9888545808141 10649203177998 12585421937634 19777091616282 23073273552329 46146547104658 69219820656987 138439641313974
- Sum of all divisors σ(n): 406492211059200
- Sum of proper divisors (its aliquot sum) s(n): 268052569745226
- 138439641313974 is an abundant number, because the sum of its proper divisors (268052569745226) is greater than itself. Its abundance is 129612928431252
Bases of 138439641313974
- Binary: 111110111101000111111011010010010110010101101102
- Hexadecimal: 0x7DE8FDA4B2B6
- Base-36: 1D2MAK16EU
Squares and roots of 138439641313974
- 138439641313974 squared (1384396413139742) is 19165534287141776785247672676
- 138439641313974 cubed (1384396413139743) is 2653269692302577956522874125722302096774424
-
The
square root of 138439641313974 is 11766037.6216453601 -
The
cube root of 138439641313974 is 51731.3114546577
Scales and comparisons
How big is 138439641313974?- 138,439,641,313,974 seconds is equal to 4,401,952 years, 19 weeks, 2 days, 8 hours, 32 minutes, 54 seconds.
-
To count from 1 to 138,439,641,313,974 would take you about eleven million, four thousand, eight hundred eighty 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 138439641313974 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138439641313974
- 138439641313974 backwards is 479313146934831
- 138439641313974 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138439641313974's digits is 66
- More coming soon!
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The information we have on file for 138439641313974 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 138439641313974, math, Factors of 138439641313974, curriculum, school, college, exams, university, Prime factorization of 138439641313974, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred thirty-nine billion, six hundred forty-one million, three hundred thirteen thousand, nine hundred seventy-four.