138634740983718840
138,634,740,983,718,840 is an even composite number composed of five prime numbers multiplied together.
What does the number 138634740983718840 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138634740983718840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138634740983718840:
23 × 3 × 5 × 79 × 315
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 138634740983718840 from the Numbermatics database.
Names of 138634740983718840
- Cardinal: 138634740983718840 can be written as One hundred thirty-eight quadrillion, six hundred thirty-four trillion, seven hundred forty billion, nine hundred eighty-three million, seven hundred eighteen thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3863474098371884 × 1017
Factors of 138634740983718840
Divisors of 138634740983718840
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 49 56 60 62 70 84 93 98 105 120 124 140 147 155 168 186 196 210 217 245 248 280 294 310 343 372 392 420 434 465 490 588 620 651 686 735 744 840 868 930 961 980 1029 1085 1176 1240 1302 1372 1470 1519 1715 1736 1860 1922 1960 2058 2170 2401 2604 2744 2883 2940 3038 3255 3430 3720 3844 4116 4340 4557 4802 4805 5145 5208 5766 5880 6076 6510 6727 6860 7203 7595 7688 8232 8680 9114 9604 9610 10290 10633 11532 12005 12152 13020 13454 13720 14406 14415 15190 16807 18228 19208 19220 20181 20580 21266 22785 23064 24010 26040 26908 28812 28830 29791 30380 31899 33614 33635 36015 36456 38440 40362 41160 42532 45570 47089 48020 50421 53165 53816 57624 57660 59582 60760 63798 67228 67270 72030 74431 80724 84035 85064 89373 91140 94178 96040 100842 100905 106330 115320 117649 119164 127596 134456 134540 141267 144060 148862 148955 159495 161448 168070 178746 182280 188356 201684 201810 208537 212660 223293 235298 235445 238328 252105 255192 269080 282534 288120 297724 297910 318990 329623 336140 352947 357492 372155 376712 403368 403620 417074 425320 446586 446865 470596 470890 504210 521017 565068 588245 595448 595820 625611 637980 659246 672280 705894 706335 714984 744310 807240 823543 834148 893172 893730 923521 941192 941780 988869 1008420 1042034 1042685 1116465 1130136 1176490 1191640 1251222 1275960 1318492 1411788 1412670 1459759 1488620 1563051 1647086 1648115 1668296 1764735 1786344 1787460 1847042 1883560 1977738 2016840 2084068 2085370 2232930 2307361 2352980 2470629 2502444 2605085 2636984 2770563 2823576 2825340 2919518 2977240 3126102 3128055 3294172 3296230 3529470 3574920 3647119 3694084 3955476 4117715 4168136 4170740 4379277 4465860 4614722 4617605 4705960 4941258 4944345 5004888 5210170 5541126 5650680 5764801 5839036 6252204 6256110 6464647 6588344 6592460 6922083 7058940 7294238 7298795 7388168 7815255 7910952 8235430 8341480 8758554 8931720 9229444 9235210 9882516 9888690 10218313 10420340 10941357 11082252 11529602 11536805 11678072 12353145 12504408 12512220 12929294 13184920 13844166 13852815 14117880 14588476 14597590 15630510 16151527 16470860 17294403 17517108 18235595 18458888 18470420 19393941 19765032 19777380 20436626 20840680 21882714 21896385 22164504 23059204 23073610 24706290 25024440 25529833 25858588 27688332 27705630 28629151 28824005 29176952 29195180 30654939 31261020 32303054 32323235 32941720 34588806 34610415 35034216 36471190 36940840 38787882 39554760 40353607 40873252 43765428 43792770 45252529 46118408 46147220 48454581 49412580 51059666 51091565 51717176 54706785 55376664 55411260 57258302 57648010 58390360 61309878 62522040 64606108 64646470 69177612 69220830 71528191 72942380 76589499 77575764 80707214 80757635 81746504 85887453 86472015 87530856 87585540 90505058 92294440 96909162 96969705 98825160 102119332 102183130 109413570 110822520 113060689 114516604 115296020 121060821 122619756 127649165 129212216 129292940 135757587 138355224 138441660 143056382 143145755 145884760 153178998 153274695 155151528 161414428 161515270 171774906 172944030 175171080 178708831 181010116 193818324 193939410 200404057 201768035 204238664 204366260 214584573 218827140 226121378 226262645 229033208 230592040 242121642 242272905 245239512 255298330 258585880 271515174 276883320 286112764 286291510 306357996 306549390 316767703 322828856 323030540 339182067 343549812 345888060 357417662 357640955 362020232 382947495 387636648 387878820 400808114 403536070 408732520 429169146 429437265 437654280 452242756 452525290 484243284 484545810 500697337 510596660 536126493 543030348 565303445 572225528 572583020 601212171 605304105 612715992 613098780 633535406 646061080 678364134 678787935 687099624 691776120 714835324 715281910 765894990 775757640 791424823 801616228 807072140 858338292 858874530 893544155 904485512 905050580 950303109 968486568 969091620 1001394674 1002020285 1021193320 1072252986 1072922865 1086060696 1130606890 1145166040 1202424342 1210608210 1226197560 1250961817 1267070812 1356728268 1357575870 1402828399 1429670648 1430563820 1502092011 1531789980 1582849646 1583838515 1603232456 1614144280 1695910335 1716676584 1717749060 1787088310 1810101160 1900606218 1938183240 2002789348 2004040570 2144505972 2145845730 2217373921 2261213780 2374274469 2404848684 2421216420 2501923634 2503486685 2534141624 2680632465 2713456536 2715151740 2805656798 2861127640 3004184022 3006060855 3063579960 3165699292 3167677030 3391820670 3435498120 3504881359 3574176620 3752885451 3801212436 3957124115 4005578696 4008081140 4208485197 4289011944 4291691460 4434747842 4522427560 4748548938 4751515545 4809697368 4842432840 5003847268 5006973370 5361264930 5430303480 5539973761 5611313596 6008368044 6012121710 6254809085 6331398584 6335354060 6652121763 6783641340 7009762718 7014141995 7148353240 7505770902 7510460055 7602424872 7914248230 8016162280 8416970394 8583382920 8869495684 9497097876 9503031090 9819798793 10007694536 10013946740 10514644077 10722529860 11079947522 11086869605 11222627192 11871372345 12016736088 12024243420 12509618170 12670708120 13304243526 13567282680 14019525436 14028283990 15011541804 15020920110 15521617447 15828496460 16619921283 16833940788 17524406795 17738991368 18764427255 18994195752 19006062180 19639597586 20027893480 21029288154 21042425985 21445059720 22159895044 22173739210 23742744690 24048486840 24534169513 25019236340 26608487052 27699868805 28039050872 28056567980 29459396379 30023083608 30041840220 31043234894 31656992920 33239842566 33260608815 33667881576 35048813590 37528854510 38012124360 38779816327 39279195172 42058576308 42084851970 44319790088 44347478420 46564852341 47485489380 49068339026 49098993965 50038472680 52573220385 53216974104 55399737610 56113135960 58918792758 60083680440 62086469788 66479685132 66521217630 68738591551 70097627180 73602508539 75057709020 77559632654 77608087235 78558390344 83099606415 84117152616 84169703940 88694956840 93129704682 94970978760 98136678052 98197987930 105146440770 108651322129 110799475220 116339448981 117837585516 122670847565 124172939576 132959370264 133042435260 137477183102 140195254360 147205017078 147296981895 150115418040 155119265308 155216174470 166199212830 168339407880 171739186591 186259409364 193899081635 196273356104 196395975860 206215774653 210292881540 217302644258 221598950440 232678897962 232824261705 235675171032 245341695130 266084870520 274954366204 294410034156 294593963790 310238530616 310432348940 325953966387 332398425660 343478373182 343692957755 368012542695 372518818728 387798163270 392791951720 412431549306 420585763080 434605288516 465357795924 465648523410 481170140857 490683390260 515217559773 543256610645 549908732408 581697244905 588820068312 589187927580 620864697880 651907932774 664796851320 686956746364 687385915510 736025085390 760559254903 775596326540 824863098612 858695932955 869210577032 930715591848 931297046820 962340281714 981366780520 1030435119546 1031078873265 1086513221290 1163394489810 1178375855160 1202174306137 1303815865548 1373913492728 1374771831020 1443510422571 1472050170780 1521118509806 1551192653080 1629769831935 1649726197224 1717391865910 1862594093640 1924680563428 2060870239092 2062157746530 2173026442580 2281677764709 2326788979620 2404348612274 2405850704285 2576087798865 2607631731096 2749543662040 2887020845142 2944100341560 3042237019612 3259539663870 3368190985999 3434783731820 3606522918411 3802796274515 3849361126856 4121740478184 4124315493060 4346052885160 4563355529418 4653577959240 4808697224548 4811701408570 5152175597730 5323914784321 5774041690284 6010871530685 6084474039224 6519079327740 6736381971998 6869567463640 7213045836822 7217552112855 7605592549030 8248630986120 9126711058836 9617394449096 9623402817140 10104572957997 10304351195460 10647829568642 11408388823545 11548083380568 12021743061370 13038158655480 13472763943996 14426091673644 14435104225710 15211185098060 15971744352963 16840954929995 18032614592055 18253422117672 19246805634280 20209145915994 20608702390920 21295659137284 22816777647090 23577336901993 24043486122740 26619573921605 26945527887992 28852183347288 28870208451420 30422370196120 31943488705926 33681909859990 36065229184110 37267403490247 40418291831988 42591318274568 45633555294180 47154673803986 48086972245480 50522864789985 53239147843210 57740416902840 63886977411852 67363819719980 70732010705979 72130458368220 74534806980494 79858721764815 80836583663976 91267110588360 94309347607972 101045729579970 106478295686420 111802210470741 117886684509965 127773954823704 134727639439960 141464021411958 144260916736440 149069613960988 159717443529630 165041358313951 186337017451235 188618695215944 202091459159940 212956591372840 223604420941482 235773369019930 282928042823916 298139227921976 319434887059260 330082716627902 353660053529895 372674034902470 404182918319880 447208841882964 471546738039860 495124074941853 559011052353705 565856085647832 638869774118520 660165433255804 707320107059790 745348069804940 825206791569755 894417683765928 943093476079720 990248149883706 1118022104707410 1155289508197657 1320330866511608 1414640214119580 1490696139609880 1650413583139510 1980496299767412 2236044209414820 2310579016395314 2475620374709265 2829280428239160 3300827166279020 3465868524592971 3960992599534824 4472088418829640 4621158032790628 4951240749418530 5776447540988285 6601654332558040 6931737049185942 9242316065581256 9902481498837060 11552895081976570 13863474098371884 17329342622964855 19804962997674120 23105790163953140 27726948196743768 34658685245929710 46211580327906280 69317370491859420 138634740983718840
- Sum of all divisors σ(n): 501395644217825280
- Sum of proper divisors (its aliquot sum) s(n): 362760903234106440
- 138634740983718840 is an abundant number, because the sum of its proper divisors (362760903234106440) is greater than itself. Its abundance is 224126162250387600
Bases of 138634740983718840
- Binary: 1111011001000011110001111111110011101110011100011101110002
- Hexadecimal: 0x1EC878FF9DCE3B8
- Base-36: 11X1WWSARMBC
Squares and roots of 138634740983718840
- 138634740983718840 squared (1386347409837188402) is 19219591407622812200705956170945600
- 138634740983718840 cubed (1386347409837188403) is 2664503076608696752294378025826749195717447335104000
-
The
square root of 138634740983718840 is 372336864.9270695571 -
The
cube root of 138634740983718840 is 517556.0128048745
Scales and comparisons
How big is 138634740983718840?- 138,634,740,983,718,840 seconds is equal to 4,408,155,937 years, 45 weeks, 2 days, 15 hours, 14 minutes.
-
To count from 1 to 138,634,740,983,718,840 would take you about thirteen billion, two hundred twenty-four million, four hundred sixty-seven thousand, eight hundred thirteen 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 138634740983718840 cubic inches would be around 43129.7 feet tall.
Recreational maths with 138634740983718840
- 138634740983718840 backwards is 048817389047436831
- 138634740983718840 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138634740983718840's digits is 84
- More coming soon!
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The information we have on file for 138634740983718840 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 138634740983718840, math, Factors of 138634740983718840, curriculum, school, college, exams, university, Prime factorization of 138634740983718840, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred thirty-four trillion, seven hundred forty billion, nine hundred eighty-three million, seven hundred eighteen thousand, eight hundred forty.