138513679677072
138,513,679,677,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 138513679677072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
138513679677072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138513679677072:
24 × 311 × 73 × 173 × 29
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 17 × 17 × 17 × 29)See below for interesting mathematical facts about the number 138513679677072 from the Numbermatics database.
Names of 138513679677072
- Cardinal: 138513679677072 can be written as One hundred thirty-eight trillion, five hundred thirteen billion, six hundred seventy-nine million, six hundred seventy-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 1.38513679677072 × 1014
Factors of 138513679677072
Divisors of 138513679677072
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 29 34 36 42 48 49 51 54 56 58 63 68 72 81 84 87 98 102 108 112 116 119 126 136 144 147 153 162 168 174 189 196 203 204 216 232 238 243 252 261 272 289 294 306 324 336 343 348 357 378 392 406 408 432 441 459 464 476 486 493 504 522 567 578 588 609 612 648 686 696 714 729 756 783 784 812 816 833 867 882 918 952 972 986 1008 1029 1044 1071 1134 1156 1176 1218 1224 1296 1323 1372 1377 1392 1421 1428 1458 1479 1512 1566 1624 1666 1701 1734 1764 1827 1836 1904 1944 1972 2023 2058 2088 2142 2187 2268 2312 2349 2352 2436 2448 2499 2601 2646 2744 2754 2842 2856 2916 2958 3024 3087 3132 3213 3248 3332 3402 3451 3468 3528 3654 3672 3888 3944 3969 4046 4116 4131 4176 4263 4284 4374 4437 4536 4624 4698 4872 4913 4998 5103 5202 5292 5481 5488 5508 5684 5712 5831 5832 5916 6069 6174 6264 6426 6561 6664 6804 6902 6936 7047 7056 7308 7344 7497 7803 7888 7938 8092 8232 8262 8381 8526 8568 8748 8874 9072 9261 9396 9639 9744 9826 9947 9996 10206 10353 10404 10584 10962 11016 11368 11662 11664 11832 11907 12138 12348 12393 12528 12789 12852 13122 13311 13328 13608 13804 13872 14094 14161 14616 14739 14994 15309 15606 15876 16184 16443 16464 16524 16762 17052 17136 17493 17496 17748 18207 18522 18792 19278 19652 19683 19894 19992 20412 20706 20808 21141 21168 21924 22032 22491 22736 23324 23409 23664 23814 24157 24276 24696 24786 25143 25578 25704 26244 26622 27216 27608 27783 28188 28322 28917 29232 29478 29841 29988 30618 31059 31212 31752 32368 32886 33048 33524 34104 34391 34986 34992 35496 35721 36414 37044 37179 37584 38367 38556 39304 39366 39788 39933 39984 40824 41412 41616 42282 42483 43848 44217 44982 45927 46648 46818 47628 48314 48552 49329 49392 49572 50286 51156 51408 52479 52488 53244 54621 55216 55566 56376 56644 57834 58667 58956 59049 59682 59976 61236 62118 62424 63423 63504 65772 66096 67048 67473 68208 68782 69972 70227 70992 71442 72471 72828 74088 74358 75429 76734 77112 78608 78732 79576 79866 81648 82824 83349 84564 84966 86751 87696 88434 89523 89964 91854 93177 93296 93636 95256 96628 97104 98658 99127 99144 100572 102312 103173 104958 104976 106488 107163 109242 111132 111537 112752 113288 115101 115668 117334 117912 118098 119364 119799 119952 122472 124236 124848 126846 127449 131544 132651 134096 134946 137564 137781 139944 140454 142477 142884 144942 145656 147987 148176 148716 150858 153468 154224 157437 157464 159152 159732 163863 165648 166698 169099 169128 169932 173502 176001 176868 177147 179046 179928 183708 186354 187272 190269 190512 193256 197316 198254 198288 201144 202419 204624 206346 209916 210681 212976 214326 217413 218484 222264 223074 226287 226576 230202 231336 234668 235824 236196 238728 239598 240737 244944 248472 250047 253692 254898 260253 263088 265302 268569 269892 275128 275562 279531 279888 280908 284954 285768 289884 291312 295974 297381 297432 301716 306936 309519 314874 314928 319464 321489 327726 333396 334611 338198 338256 339864 345303 347004 352002 353736 354294 358092 359397 359856 367416 372708 374544 380538 382347 386512 394632 396508 397953 402288 404838 410669 412692 413343 419832 421362 427431 428652 434826 436968 443961 444528 446148 452574 460404 462672 469336 472311 472392 477456 479196 481474 491589 496944 500094 507297 507384 509796 520506 528003 530604 537138 539784 550256 551124 559062 561816 569908 570807 571536 579768 591948 594762 594864 603432 607257 613872 619038 629748 632043 638928 642978 652239 655452 666792 669222 676396 678861 679728 690606 694008 704004 707472 708588 716184 718794 722211 734832 745416 750141 761076 764694 780759 789264 793016 795906 805707 809676 821338 825384 826686 838593 839664 842724 854862 857304 869652 873936 887922 892143 892296 905148 920808 928557 938672 944622 944784 958392 962948 964467 983178 997339 1000188 1003833 1014594 1014768 1019592 1035909 1041012 1056006 1061208 1074276 1078191 1079568 1102248 1118124 1123632 1139816 1141614 1147041 1159536 1183896 1189524 1193859 1206864 1214514 1232007 1238076 1240029 1259496 1264086 1282293 1285956 1304478 1310904 1331883 1333584 1338444 1352792 1357722 1381212 1388016 1408008 1416933 1417176 1432368 1437588 1444422 1474767 1490832 1500282 1521891 1522152 1529388 1561518 1584009 1586032 1591812 1611414 1619352 1642676 1650768 1653372 1677186 1685159 1685448 1709724 1712421 1714608 1739304 1775844 1784286 1784592 1810296 1821771 1841616 1857114 1889244 1896129 1916784 1925896 1928934 1956717 1966356 1994678 2000376 2007666 2029188 2036583 2039184 2071818 2082024 2112012 2122416 2148552 2156382 2166633 2204496 2236248 2250423 2279632 2283228 2294082 2342277 2367792 2379048 2387718 2417121 2429028 2464014 2476152 2480058 2515779 2518992 2528172 2564586 2571912 2608956 2621808 2663766 2676429 2676888 2705584 2715444 2762424 2785671 2816016 2833866 2834352 2874683 2875176 2888844 2893401 2949534 2992017 3000564 3011499 3043782 3044304 3058776 3107727 3123036 3168018 3183624 3222828 3234573 3238704 3285352 3306744 3354372 3370318 3370896 3419448 3424842 3441123 3478608 3551688 3568572 3581577 3620592 3643542 3696021 3714228 3778488 3792258 3846879 3851792 3857868 3913434 3932712 3989356 3995649 4000752 4015332 4058376 4073166 4143636 4164048 4224024 4250799 4297104 4312764 4333266 4424301 4472496 4500846 4565673 4566456 4588164 4684554 4752027 4758096 4775436 4834242 4858056 4928028 4952304 4960116 5031558 5055477 5056344 5129172 5137263 5143824 5217912 5327532 5352858 5353776 5430888 5465313 5524848 5571342 5667732 5688387 5749366 5750352 5777688 5786802 5870151 5899068 5984034 6001128 6022998 6087564 6109749 6117552 6215454 6246072 6336036 6367248 6445656 6469146 6499899 6570704 6613488 6708744 6740636 6751269 6838896 6849684 6882246 6981373 7026831 7103376 7137144 7163154 7251363 7287084 7392042 7428456 7547337 7556976 7584516 7693758 7715736 7826868 7865424 7978712 7991298 8029287 8030664 8116752 8146332 8287272 8357013 8448048 8501598 8624049 8625528 8666532 8680203 8848602 8976051 9001692 9131346 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54010152 54788076 54987741 55057968 55850984 55939086 56214648 57024324 57305232 58010904 58222314 58499091 59136336 60378696 60665724 60761421 61550064 61940214 62832357 63930384 64234296 64468386 65262267 65583756 66528378 66856104 67926033 68012784 68260644 68992392 69243822 69441624 70441812 70788816 71808408 71921682 72263583 73050768 73316988 74585448 75213117 76032432 76514382 77616441 77629752 77998788 79637418 80784459 80887632 81015228 82182114 82196208 82586952 83776476 83908629 84321972 85536486 85957848 87016356 87333471 87445008 88704504 90568044 90998586 91014192 92325096 92910321 93922416 95895576 96351444 96702579 97739222 97755984 98375634 99792567 100284156 102019176 102390966 103488588 103865733 103998384 105662718 106183224 107712612 108020304 109576152 109975482 111701968 111878172 112429296 114048648 114771573 116021808 116444628 116998182 119456127 120757392 121331448 121522842 123273171 123880428 125664714 128304729 128468592 128936772 130524534 131167512 133056756 133712208 135852066 136497879 136521288 137984784 138487644 138883248 140883624 143616816 143843364 144527166 146608833 146633976 147563451 149170896 150426234 153028764 155232882 155259504 155997576 158494077 159274836 161568918 162030456 164364228 164963223 165173904 167552952 167817258 168643944 171072972 171915696 174032712 174666942 175497273 177409008 181136088 181997172 184650192 185820642 188497071 191791152 192702888 193405158 195478444 195786801 196751268 199585134 200568312 203778099 204038352 204781932 206977176 207731466 211325436 212366448 215425224 216790749 219152304 219950964 223756344 225639351 228097296 229543146 232849323 232889256 233996364 238912254 242353377 242662896 243045684 246546342 247760856 251329428 251725887 256609458 257873544 261049068 262335024 266113512 271704132 272995758 273042576 276975288 278730963 281767248 287686728 289054332 290107737 293217666 293267952 295126902 299377701 300852468 306057528 310465764 311597199 311995152 316988154 318549672 323137836 324060912 328728456 329926446 335105904 335634516 337287888 342145944 344314719 348065424 349333884 350994546 358368381 362272176 363994344 369819513 371641284 376994142 384914187 385405776 386810316 390956888 391573602 393502536 399170268 401136624 407556198 409493637 409563864 413954352 415462932 422650872 430850448 433581498 439826499 439901928 447512688 451278702 459086292 465698646 465778512 467992728 475482231 477824508 484706754 486091368 493092684 494889669 495521712 502658856 503451774 513218916 515747088 522098136 526491819 532227024 543408264 545991516 553950576 557461926 565491213 575373456 578108664 580215474 586435332 587360403 590253804 598755402 601704936 611334297 612115056 620931528 623194398 633976308 637099344 646275672 650372247 657456912 659852892 671269032 676918053 684291888 688629438 698547969 698667768 701989092 716736762 727060131 727988688 739639026 743282568 753988284 769828374 773620632 781913776 783147204 787005072 798340536 815112396 818987274 819127728 830925864 836192889 845301744 867162996 870323211 879652998 879803856 898133103 902557404 918172584 931397292 934791597 935985456 950964462 955649016 969413508 972182736 986185368 989779338 1005317712 1006903548 1026437832 1032944157 1044196272 1052983638 1086816528 1091983032 1109458539 1114923852 1130982426 1154742561 1156217328 1160430948 1172870664 1174720806 1180507608 1197510804 1203409872 1222668594 1228480911 1241863056 1246388796 1267952616 1292551344 1300744494 1319479497 1319705784 1342538064 1353836106 1377258876 1397095938 1397335536 1403978184 1426446693 1433473524 1454120262 1479278052 1484669007 1486565136 1507976568 1539656748 1547241264 1566294408 1579475457 1596681072 1630224792 1637974548 1661851728 1672385778 1696473639 1734325992 1740646422 1759305996 1762081209 1796266206 1805114808 1836345168 1862794584 1869583194 1901928924 1911298032 1938827016 1951116741 1972370736 1979558676 2013807096 2030754159 2052875664 2065888314 2095643907 2105967276 2181180393 2183966064 2218917078 2229847704 2261964852 2309485122 2320861896 2345741328 2349441612 2361015216 2395021608 2445337188 2456961822 2492777592 2508578667 2535905232 2601488988 2638958994 2639411568 2694399309 2707672212 2754517752 2794191876 2804374791 2807956368 2852893386 2866947048 2908240524 2958556104 2969338014 3015953136 3079313496 3132588816 3158950914 3260449584 3275949096 3328375617 3344771556 3392947278 3464227683 3468651984 3481292844 3518611992 3524162418 3592532412 3610229616 3685442733 3725589168 3739166388 3803857848 3877654032 3902233482 3958438491 3959117352 4027614192 4061508318 4131776628 4191287814 4211934552 4279340079 4362360786 4437834156 4459695408 4523929704 4618970244 4641723792 4698883224 4738426371 4790043216 4890674376 4913923644 4985555184 5017157334 5089420917 5202977976 5277917988 5388798618 5415344424 5509035504 5588383752 5608749582 5705786772 5733894096 5816481048 5853350223 5917112208 5938676028 6092262477 6158626992 6286931721 6317901828 6543541179 6551898192 6656751234 6689543112 6785894556 6928455366 6962585688 7037223984 7048324836 7185064824 7370885466 7478332776 7607715696 7804466964 7916876982 7918234704 8083197927 8123016636 8263553256 8382575628 8413124373 8423869104 8558680158 8724721572 8875668312 9047859408 9237940488 9397766448 9476852742 9781348752 9827847288 9985126851 10034314668 10178841834 10392683049 10405955952 10555835976 10777597236 10830688848 11056328199 11176767504 11217499164 11411573544 11632962096 11706700446 11875315473 11877352056 12184524954 12573863442 12635803656 13087082358 13313502468 13379086224 13571789112 13856910732 13925171376 14096649672 14215279113 14370129648 14741770932 14956665552 15268262751 15608933928 15833753964 16166395854 16246033272 16527106512 16765151256 16826248746 17117360316 17449443144 17560050669 17751336624 18475880976 18860795163 18953705484 19630623537 19655694576 19970253702 20068629336 20357683668 20785366098 21111671952 21555194472 22112656398 22434998328 22823147088 23413400892 23750630946 23754704112 24249593781 24369049908 25147726884 25239373119 25271607312 26174164716 26627004936 27143578224 27713821464 28193299344 28430558226 29483541864 29955380553 30536525502 31217867856 31667507928 32332791708 32492066544 33168984597 33530302512 33652497492 34234720632 34898886288 35120101338 35625946419 37721590326 37907410968 39261247074 39940507404 40137258672 40715367336 41570732196 42645837339 43110388944 44225312796 44869996656 45804788253 46826801784 47501261892 48499187562 48738099816 50295453768 50478746238 52348329432 53254009872 55427642928 56582385489 56861116452 58891870611 58967083728 59910761106 61073051004 63335015856 64665583416 66337969194 67304994984 68469441264 70240202676 71251892838 72748781343 75443180652 75814821936 78522494148 79881014808 81430734672 83141464392 85291674678 88450625592 91609576506 93653603568 95002523784 96998375124 97476199632 99506953791 100590907536 100957492476 104696658864 106877839257 113164770978 113722232904 117783741222 119821522212 122146102008 129331166832 132675938388 134609989968 137414364759 140480405352 142503785676 145497562686 150886361304 157044988296 159762029616 166282928784 169747156467 170583349356 176675611833 176901251184 183219153012 190005047568 193996750248 199013907582 201914984952 213755678514 226329541956 227444465808 235567482444 239643044424 244292204016 265351876776 274828729518 280960810704 285007571352 290995125372 298520861373 301772722608 314089976592 320633517771 339494312934 341166698712 353351223666 366438306024 387993500496 398027815164 403829969904 412243094277 427511357028 452659083912 471134964888 479286088848 509241469401 530703753552 549657459036 570015142704 581990250744 597041722746 641267035542 678988625868 682333397424 706702447332 732876612048 796055630328 824486188554 855022714056 905318167824 942269929776 961900553313 1018482938802 1099314918072 1163980501488 1194083445492 1236729282831 1282534071084 1357977251736 1413404894664 1592111260656 1648972377108 1710045428112 1923801106626 2036965877604 2198629836144 2388166890984 2473458565662 2565068142168 2715954503472 2826809789328 2885701659939 3297944754216 3847602213252 4073931755208 4776333781968 4946917131324 5130136284336 5771403319878 6595889508432 7695204426504 8147863510416 8657104979817 9893834262648 11542806639756 15390408853008 17314209959634 19787668525296 23085613279512 34628419919268 46171226559024 69256839838536 138513679677072
- Sum of all divisors σ(n): 515985724800000
- Sum of proper divisors (its aliquot sum) s(n): 377472045122928
- 138513679677072 is an abundant number, because the sum of its proper divisors (377472045122928) is greater than itself. Its abundance is 238958365445856
Bases of 138513679677072
- Binary: 111110111111010001110101010110001110110100100002
- Hexadecimal: 0x7DFA3AAC7690
- Base-36: 1D3KB0K900
Squares and roots of 138513679677072
- 138513679677072 squared (1385136796770722) is 19186039457682508794202493184
- 138513679677072 cubed (1385136796770723) is 2657528923713099214726852796196534401077248
-
The
square root of 138513679677072 is 11769183.4753763611 -
The
cube root of 138513679677072 is 51740.5318845873
Scales and comparisons
How big is 138513679677072?- 138,513,679,677,072 seconds is equal to 4,404,306 years, 29 weeks, 1 day, 20 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,513,679,677,072 would take you about eleven million, ten thousand, seven hundred sixty-six 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 138513679677072 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138513679677072
- 138513679677072 backwards is 270776976315831
- 138513679677072 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138513679677072's digits is 72
- More coming soon!
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MLA style:
"Number 138513679677072 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138513679677072 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138513679677072/
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The information we have on file for 138513679677072 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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