138466837893340728
138,466,837,893,340,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 138466837893340728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
138466837893340728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138466837893340728:
23 × 37 × 173 × 293 × 2572
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 17 × 17 × 29 × 29 × 29 × 257 × 257)See below for interesting mathematical facts about the number 138466837893340728 from the Numbermatics database.
Names of 138466837893340728
- Cardinal: 138466837893340728 can be written as One hundred thirty-eight quadrillion, four hundred sixty-six trillion, eight hundred thirty-seven billion, eight hundred ninety-three million, three hundred forty thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38466837893340728 × 1017
Factors of 138466837893340728
Divisors of 138466837893340728
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 81 87 102 108 116 136 153 162 174 204 216 232 243 257 261 289 306 324 348 408 459 486 493 514 522 578 612 648 696 729 771 783 841 867 918 972 986 1028 1044 1156 1224 1377 1458 1479 1542 1566 1682 1734 1836 1944 1972 2056 2088 2187 2312 2313 2349 2523 2601 2754 2916 2958 3084 3132 3364 3468 3672 3944 4131 4369 4374 4437 4626 4698 4913 5046 5202 5508 5832 5916 6168 6264 6728 6936 6939 7047 7453 7569 7803 8262 8381 8738 8748 8874 9252 9396 9826 10092 10404 11016 11832 12393 13107 13311 13878 14094 14297 14739 14906 15138 15606 16524 16762 17476 17496 17748 18504 18792 19652 20184 20808 20817 21141 22359 22707 23409 24389 24786 25143 26214 26622 27756 28188 28594 29478 29812 30276 31212 33048 33524 34952 35496 37179 39304 39321 39933 41634 42282 42891 44217 44718 45414 46818 48778 49572 50286 52428 53244 55512 56376 57188 58956 59624 60552 62424 62451 63423 66049 67048 67077 68121 70227 73167 74273 74358 75429 78642 79866 83268 84564 85782 88434 89436 90828 93636 97556 99144 100572 104856 106488 114376 117912 117963 119799 124902 126701 126846 128673 132098 132651 134154 136242 140454 142477 146334 148546 148716 150858 157284 159732 166536 169128 171564 176868 178872 181656 187272 187353 195112 198147 201144 201231 204363 210681 216137 219501 222819 226287 235926 239598 243049 249804 253402 253692 257346 264196 265302 268308 272484 280908 284954 292668 297092 297432 301716 314568 319464 343128 353736 353889 359397 374706 380103 386019 396294 397953 402462 408726 414613 421362 427431 432274 439002 445638 452574 471852 479196 486098 499608 506804 507384 514692 528392 530604 536616 544968 561816 562059 569908 585336 594184 594441 603432 603693 613089 632043 648411 658503 668457 678861 707778 718794 729147 749412 760206 772038 792588 795906 804924 817452 829226 842724 854862 864548 878004 891276 905148 943704 958392 972196 1013608 1029384 1061208 1061667 1078191 1122833 1124118 1139816 1140309 1158057 1188882 1193859 1207386 1226178 1243839 1262641 1264086 1282293 1296822 1317006 1336914 1357722 1415556 1437588 1458294 1498824 1520412 1544076 1585176 1591812 1609848 1634904 1658452 1685448 1709724 1729096 1756008 1782552 1783323 1810296 1811079 1839267 1915421 1944392 1945233 1975509 2005371 2036583 2123334 2153917 2156382 2187441 2245666 2248236 2280618 2316114 2377764 2387718 2414772 2452356 2487678 2525282 2528172 2564586 2593644 2634012 2673828 2715444 2831112 2875176 2916588 3040824 3088152 3183624 3185001 3316904 3368499 3419448 3420927 3474171 3566646 3581577 3622158 3674329 3678534 3731517 3787923 3830842 3846879 3890466 3951018 4010742 4073166 4131833 4246668 4307834 4312764 4374882 4491332 4496472 4561236 4632228 4755528 4775436 4829544 4904712 4975356 5050564 5056344 5129172 5187288 5268024 5347656 5349969 5430888 5433237 5746263 5833176 5835699 5926527 6016113 6109749 6267973 6370002 6461751 6562323 6736998 6841854 6948342 7048421 7133292 7163154 7244316 7348658 7357068 7463034 7575846 7661684 7693758 7780932 7902036 8021484 8146332 8263666 8493336 8615668 8625528 8749764 8982664 9122472 9264456 9550872 9555003 9950712 10101128 10105497 10258344 10262781 10422513 10699938 10744731 10866474 11022987 11194551 11363769 11492526 11540637 11671398 11853054 12032226 12219498 12395499 12535946 12740004 12923502 13124646 13473996 13683708 13896684 14096842 14266584 14326308 14488632 14697316 14714136 14926068 15151692 15323368 15387516 15561864 15804072 16042968 16049907 16292664 16299711 16527332 17231336 17238789 17499528 17507097 17779581 18048339 18329247 18803919 19088161 19110006 19385253 19686969 20210994 20525562 20845026 21145263 21399876 21489462 21732948 22045974 22389102 22727538 22985052 23081274 23342796 23706108 24064452 24438996 24790998 25071892 25480008 25847004 26249292 26947992 27367416 27793368 28193684 28652616 29394632 29852136 30303384 30316491 30775032 30788343 31267539 32099814 32562157 32599422 33054664 33068961 33583653 34091307 34477578 34621911 35014194 35559162 36096678 36616589 36658494 37186497 37607838 38176322 38220012 38770506 39373938 40421988 41051124 41690052 42290526 42799752 42978924 43465896 44091948 44778204 45455076 45970104 46162548 46685592 47412216 48128904 48149721 48877992 49581996 50143784 51694008 51716367 52498584 52521291 53338743 54145017 55547209 56387368 56411757 57264483 58155759 59060907 60632982 61576686 62463593 62535078 63435789 64199628 65124314 65198844 66137922 67167306 68182614 68955156 69243822 70028388 71118324 72193356 73233178 73316988 74372994 75215676 76352644 76440024 77541012 78747876 80843976 82102248 83380104 84581052 85957848 88183896 89556408 90910152 90949473 92325096 92365029 96299442 97686471 99163992 99206883 100750959 102273921 103432734 103865733 105042582 106555541 106677486 108290034 109849767 111094418 111559491 112823514 114528966 116311518 118121814 119823157 121265964 123153372 124927186 125070156 126871578 128399256 130248628 130397688 132275844 134334612 136365228 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195635973276 203969351448 207143971704 210275181576 213547947048 219078192296 225851120952 229366313496 229465520379 232936217208 233036968167 236559579273 242963492166 246356410792 246462966333 254082511071 258037102683 260960787882 262053244359 269028541134 272903437817 273215755782 277150962141 284853749436 288956581218 293453959914 305954027172 310715957556 315412772364 320321920572 323951322888 328617288444 333966464856 338776681428 344049470244 347947717176 349404325812 358704721512 364287674376 369534616188 385275441624 391271946552 391441181823 403542811701 433434871827 440180939871 458931040758 465541158629 466073936334 473119158546 485926984332 492925932666 508165022142 516074205366 521921575764 524106488718 538057082268 545806875634 546431511564 554301924282 569707498872 577913162436 586907919828 611908054344 621431915112 630825544728 640643841144 657234576888 677553362856 688098940488 688396561137 698808651624 709678737819 739069232376 739388898999 762247533213 774111308049 782882363646 807085623402 818710313451 831452886423 866869743654 880361879742 917862081516 931082317258 932147872668 946238317092 971853968664 985851865332 1016330044284 1032148410732 1043843151528 1048212977436 1076114164536 1091613751268 1092863023128 1108603848564 1155826324872 1173815839656 1174323545469 1210628435103 1300304615481 1320542819613 1376793122274 1396623475887 1419357475638 1478777797998 1524495066426 1548222616098 1565764727292 1614171246804 1637420626902 1662905772846 1733739487308 1760723759484 1835724163032 1862164634516 1864295745336 1892476634184 1971703730664 2032660088568 2064296821464 2065189683411 2096425954872 2183227502536 2217207697128 2218166696997 2286742599639 2322333924147 2348647090938 2421256870206 2456130940353 2494358659269 2600609230962 2641085639226 2753586244548 2793246951774 2838714951276 2957555595996 3048990132852 3096445232196 3131529454584 3228342493608 3274841253804 3325811545692 3467478974616 3521447518968 3522970636407 3724329269032 3900913846443 3961628458839 4130379366822 4189870427661 4436333393994 4573485199278 4644667848294 4697294181876 4842513740412 4912261880706 4988717318538 5201218461924 5282171278452 5507172489096 5586493903548 5677429902552 5915111191992 6097980265704 6192890464392 6549682507608 6651623091384 6654500090991 6860227798917 7045941272814 7368392821059 7483075977807 7801827692886 7914199696693 7923256917678 8260758733644 8379740855322 8872666787988 9146970398556 9289335696588 9394588363752 9685027480824 9824523761412 9977434637076 10402436923848 10564342556904 11172987807096 11702741539329 12569611282983 13309000181982 13720455597834 14091882545628 14736785642118 14966151955614 15603655385772 15828399393386 15846513835356 16521517467288 16759481710644 17745333575976 18293940797112 18578671393176 19649047522824 19954869274152 19963500272973 20580683396751 22105178463177 22449227933421 23405483078658 23742599090079 25139222565966 26618000363964 27440911195668 28183765091256 29473571284236 29932303911228 31207310771544 31656798786772 31693027670712 33518963421288 35108224617987 37708833848949 39927000545946 41161366793502 44210356926354 44898455866842 46810966157316 47485198180158 50278445131932 53236000727928 54881822391336 58947142568472 59864607822456 59890500818919 63313597573544 66315535389531 67347683800263 70216449235974 71227797270237 75417667697898 79854001091892 82322733587004 88420713852708 89796911733684 93621932314632 94970396360316 100556890263864 113126501546847 119781001637838 132631070779062 134695367600526 140432898471948 142455594540474 150835335395796 159708002183784 164645467174008 176841427705416 179593823467368 189940792720632 198946606168593 213683391810711 226253003093694 239562003275676 265262141558124 269390735201052 280865796943896 284911189080948 301670670791592 339379504640541 397893212337186 427366783621422 452506006187388 479124006551352 530524283116248 538781470402104 569822378161896 596839818505779 641050175432133 678759009281082 795786424674372 854733567242844 905012012374776 1018138513921623 1193679637011558 1282100350864266 1357518018562164 1591572849348744 1709467134485688 1923150526296399 2036277027843246 2387359274023116 2564200701728532 2715036037124328 3846301052592798 4072554055686492 4774718548046232 5128401403457064 5769451578889197 7692602105185596 8145108111372984 11538903157778394 15385204210371192 17308354736667591 23077806315556788 34616709473335182 46155612631113576 69233418946670364 138466837893340728
- Sum of all divisors σ(n): 430158323731680000
- Sum of proper divisors (its aliquot sum) s(n): 291691485838339272
- 138466837893340728 is an abundant number, because the sum of its proper divisors (291691485838339272) is greater than itself. Its abundance is 153224647944998544
Bases of 138466837893340728
- Binary: 1111010111110111011011010111111011100110111011110001110002
- Hexadecimal: 0x1EBEEDAFDCDDE38
- Base-36: 11VEEB65VVI0
Squares and roots of 138466837893340728
- 138466837893340728 squared (1384668378933407282) is 19173065196180699736932328303569984
- 138466837893340728 cubed (1384668378933407283) is 2654833710438005993367280705781446146066822505508352
-
The
square root of 138466837893340728 is 372111324.5970091785 -
The
cube root of 138466837893340728 is 517346.9878549395
Scales and comparisons
How big is 138466837893340728?- 138,466,837,893,340,728 seconds is equal to 4,402,817,138 years, 49 weeks, 5 days, 7 hours, 58 minutes, 48 seconds.
-
To count from 1 to 138,466,837,893,340,728 would take you about thirteen billion, two hundred eight million, four hundred fifty-one thousand, four hundred sixteen 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 138466837893340728 cubic inches would be around 43112.2 feet tall.
Recreational maths with 138466837893340728
- 138466837893340728 backwards is 827043398738664831
- The number of decimal digits it has is: 18
- The sum of 138466837893340728's digits is 90
- More coming soon!
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"Number 138466837893340728 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 138466837893340728 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138466837893340728/
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Numbermatics. 2024. "Number 138466837893340728 - Facts about the integer". https://numbermatics.com/n/138466837893340728/
The information we have on file for 138466837893340728 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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