138935398806442200
138,935,398,806,442,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138935398806442200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138935398806442200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138935398806442200:
23 × 3 × 52 × 293 × 592 × 612 × 733
(2 × 2 × 2 × 3 × 5 × 5 × 29 × 29 × 29 × 59 × 59 × 61 × 61 × 733)See below for interesting mathematical facts about the number 138935398806442200 from the Numbermatics database.
Names of 138935398806442200
- Cardinal: 138935398806442200 can be written as One hundred thirty-eight quadrillion, nine hundred thirty-five trillion, three hundred ninety-eight billion, eight hundred six million, four hundred forty-two thousand, two hundred.
Scientific notation
- Scientific notation: 1.389353988064422 × 1017
Factors of 138935398806442200
Divisors of 138935398806442200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 59 60 61 75 87 100 116 118 120 122 145 150 174 177 183 200 232 236 244 290 295 300 305 348 354 366 435 472 488 580 590 600 610 696 708 725 732 733 841 870 885 915 1160 1180 1220 1416 1450 1464 1466 1475 1525 1682 1711 1740 1769 1770 1830 2175 2199 2360 2440 2523 2900 2932 2950 3050 3364 3422 3480 3481 3538 3540 3599 3660 3665 3721 4205 4350 4398 4425 4575 5046 5133 5307 5800 5864 5900 6100 6728 6844 6962 7076 7080 7198 7320 7330 7442 8410 8555 8700 8796 8845 8850 9150 10092 10266 10443 10614 10797 10995 11163 11800 12200 12615 13688 13924 14152 14396 14660 14884 16820 17110 17400 17405 17592 17690 17700 17995 18300 18325 18605 20184 20532 20886 21025 21228 21257 21594 21990 22326 24389 25230 25665 26535 27848 28792 29320 29768 33640 34220 34810 35380 35400 35990 36600 36650 37210 41064 41772 42050 42456 42514 42775 43188 43247 43980 44225 44652 44713 48778 49619 50460 51301 51330 52215 53070 53985 54975 55815 63075 63771 68440 69620 70760 71980 73167 73300 74420 83544 84100 85028 85550 86376 86494 87025 87960 88450 89304 89426 89975 93025 97556 99238 100920 100949 102602 102660 104371 104430 106140 106285 107909 107970 109950 111630 121945 126150 127542 128325 129741 132675 134139 139240 143960 146334 146600 148840 148857 153903 168200 170056 171100 172988 174050 176900 178852 179950 186050 195112 198476 201898 205204 205320 208742 208860 212280 212341 212570 215818 215940 216235 219539 219900 223260 223565 243890 248095 252300 255084 256505 256650 259482 261075 265350 268278 269925 279075 292668 297714 302847 307806 313113 318855 323727 342200 345976 348100 353800 357704 359900 365835 372100 396952 403796 410408 417484 417720 424682 425140 431636 431880 432470 439078 439800 446520 447130 487780 496190 504600 504745 510168 513010 513300 518964 521855 522150 530700 531425 536556 539545 539850 558150 585336 595428 605694 609725 615612 616453 626226 637023 637710 647454 648705 658617 670695 696200 719800 731670 744200 744285 769515 807592 834968 849364 850280 863272 864940 878156 894260 975560 992380 1009490 1026020 1026600 1037928 1043710 1044300 1061400 1061705 1062850 1073112 1079090 1079700 1081175 1097695 1116300 1117825 1190856 1211388 1219450 1231224 1232906 1240475 1252452 1254163 1274046 1275420 1282525 1294908 1296677 1297410 1317234 1341390 1438951 1463340 1487729 1488570 1514235 1539030 1565565 1594275 1618635 1698728 1729880 1756312 1788520 1829175 1849359 1984760 2018980 2052040 2087420 2088600 2123410 2125700 2158180 2159400 2162350 2195390 2232600 2235650 2422776 2438900 2465812 2480950 2504904 2508326 2523725 2548092 2550840 2551573 2565050 2589816 2593354 2594820 2609275 2634468 2638067 2682780 2697725 2727493 2877902 2926680 2927521 2975458 2977140 3026759 3028470 3078060 3082265 3129361 3131130 3185115 3188550 3237270 3243525 3293085 3353475 3658350 3698718 3721425 3762489 3847575 3890031 4037960 4174840 4246820 4251400 4316360 4316853 4324700 4390780 4463187 4471300 4877800 4931624 4961900 5016652 5047450 5096184 5103146 5130100 5186708 5189640 5218550 5268936 5276134 5308525 5365560 5395450 5454986 5488475 5755804 5855042 5950916 5954280 6053518 6056940 6156120 6157889 6164530 6258722 6262260 6270815 6366631 6370230 6377100 6474540 6483385 6487050 6586170 6706950 7194755 7316700 7397436 7438645 7442850 7524978 7571175 7654719 7695150 7780062 7827825 7914201 8093175 8182479 8493640 8633706 8649400 8781560 8782563 8926374 8942600 9080277 9246795 9388083 9923800 10033304 10094900 10206292 10260200 10373416 10437100 10552268 10617050 10790900 10909972 10976950 11511608 11710084 11901832 12107036 12113880 12315778 12329060 12517444 12524520 12541630 12733262 12740460 12754200 12757865 12949080 12952801 12966770 12974100 13172340 13190335 13413900 13637465 14389510 14633400 14637605 14794872 14877290 14885700 15049956 15133795 15142350 15309438 15390300 15411325 15560124 15646805 15655650 15828402 15925575 16186350 16364958 16465425 17267412 17565126 17852748 17877137 18160554 18473667 18493590 18776166 18812445 19099893 19450155 20189800 20412584 20874200 21104536 21234100 21581800 21584265 21819944 21953900 22315935 23420168 24214072 24631556 24658120 25034888 25083260 25466524 25480920 25515730 25905602 25933540 25948200 26344680 26380670 26827800 27274930 28779020 29275210 29754580 29771400 30099912 30267590 30284700 30618876 30780600 30789445 30822650 31120248 31293610 31311300 31354075 31656804 31833155 31851150 32372700 32416925 32729916 32930850 34534824 35130252 35705496 35754274 35973775 36321108 36370727 36947334 36987180 37193225 37552332 37603633 37624890 38199786 38273595 38858403 38900310 39571005 40912395 42468200 43168530 43907800 43912815 44631870 45401385 46233975 46940415 49263112 50166520 50933048 51031460 51811204 51867080 52761340 53631411 54549860 57558040 58550420 59509160 60535180 60569400 61237752 61578890 61645300 62587220 62622600 62708150 63313608 63666310 63702300 63789325 64745400 64764005 64833850 65459832 65861700 65951675 68187325 70260504 71508548 71947550 72642216 72741454 73188025 73894668 73974360 73995617 74386450 75104664 75207266 75249780 75668975 76399572 76503943 76547190 77716806 77800620 78234025 79097297 79142010 81824790 84898109 86337060 87776011 87825630 89263740 89385685 90751469 90802770 92368335 92467950 93880830 94062225 95499465 97250775 102062920 103622408 105522680 107262822 107921325 109099720 109112181 111579675 112810899 117100840 121070360 123157780 123290600 125174440 125416300 127332620 127404600 127578650 129528010 129667700 131723400 131903350 136374650 143017096 143895100 145482908 146376050 147789336 147991234 148772900 150414532 150499560 151337950 152799144 153007886 153094380 153947225 155433612 155601240 155645953 156468050 158194594 158284020 159165775 160922087 163649580 169796218 172674120 175552022 175651260 178527480 178578781 178771370 181502938 181605540 181853635 184632299 184736670 184935900 187761660 188018165 188124450 190998930 191367975 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1756512600 1775894808 1785787810 1787713700 1815029380 1816055400 1818536350 1836094632 1846322990 1847366700 1849890425 1867751436 1877616600 1878156145 1880181650 1898335128 1909989300 1912598575 1931065044 1942920150 1977432425 2037554616 2106624264 2109502166 2122452725 2142945372 2145256440 2145872893 2178035256 2181010714 2182243620 2194400275 2215587588 2218614347 2219868510 2253787374 2256217980 2268786725 2293821613 2295118290 2334689295 2372918910 2413831305 2546943270 2590560200 2633280330 2678681715 2681570550 2722544070 2727804525 2769484485 2820272475 2959824680 3005049832 3060157720 3112919060 3163891880 3164253249 3218441740 3271516071 3395924360 3511040440 3571575620 3575427400 3630058760 3637072700 3692645980 3694733400 3699780850 3735502872 3756312290 3760363300 3819978600 3825197150 3862130088 3885840300 3891148825 3954864850 4023052175 4219004332 4244905450 4285890744 4291745786 4362021428 4364487240 4388800550 4431175176 4437228694 4439737020 4464469525 4507574748 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12657012996 12734716350 12875237358 13086064284 13166401650 13311686082 13393408575 13541197911 13612720350 13762929678 13847422425 14000221569 14799123400 15025249160 15300788600 15536353947 15564595300 15819459400 15821266245 16063010013 16092208700 16357580355 16979621800 17166983144 17555202200 17748914776 17857878100 18054930548 18150293800 18350572904 18463229900 18666962092 18677514360 18781561450 18988806266 19310650440 20715138596 21095021660 21417346684 21429453720 21458728930 21786611282 21810107140 21822436200 22155875880 22186143470 22198685100 22537873740 22562179800 22568663185 22938216130 22951182900 23333702615 23346892950 23729189100 24138313050 25314025992 25469432700 25750474716 25893923245 26172128568 26332803300 26368777075 26623372164 26771683355 26786817150 27082395822 27225440700 27262633925 27525859356 27694844850 28000443138 28172342175 28483209399 31072707894 31129190600 31642532490 32126020026 32184417400 32188093395 32679916923 32715160710 33279215205 34407324195 35715756200 36109861096 36926459800 37333924184 37563122900 37977612532 41430277192 42190043320 42834693368 42917457860 43573222564 43620214280 44372286940 44397370200 45075747480 45137326370 45876432260 45902365800 46667405230 46693785900 47458378200 47472015665 48276626100 50938865400 51500949432 51787846490 52665606600 52737554150 53246744328 53543366710 53573634300 53646822325 54164791644 54450881400 54466528205 54525267850 55051718712 55389689700 55465358675 56000886276 56344684350 56966418798 57345540325 62145415788 62230313897 63285064980 64252040052 64339816063 64376186790 65359833846 65430321420 66520826777 66558430410 67705989555 68814648390 70001107845 75126245800 75955225064 77681769735 79106331225 80315050065 81787901775 85834915720 87146445128 88744573880 90274652740 91752864520 93334810460 93387571800 94944031330 96553252200 103575692980 105475108300 107086733420 107147268600 107293644650 108329583288 108933056410 109050535700 110779379400 110930717350 112001772552 112689368700 112843315925 113932837596 114691080650 116668513075 124290831576 124460627794 126570129960 128504080104 128679632126 128752373580 129469616225 130719667692 130860642840 130898246473 133041653554 133116860820 133858416775 135335475167 135411979110 137629296780 140002215690 142416046995 155363539470 158212662450 160630100130 160940466975 163399584615 163575803550 166396076025 172036620975 180549305480 186669620920 186690941691 189888062660 193019448189 199562480331 207151385960 210950216600 214173466840 214587289300 217866112820 218101071400 221861434700 225378737400 225686631850 227865675192 229382161300 233337026150 237360078325 248921255588 257359264252 257504747160 258939232450 261439335384 261796492946 266083307108 266233721640 267716833550 270670950334 270823958220 272332641025 275258593560 275337690857 280004431380 284832093990 310727078940 311151569485 315905863589 316425324900 321260200260 321699080315 321880933950 326799169230 327151607100 332604133885 332792152050 338529947775 344073241950 350005539225 373381883382 379776125320 386038896378 388408848675 392694739419 399124960662 401575250325 406006425501 429174578600 435732225640 443722869400 451373263700 458764322600 466674052300 474720156650 497842511176 514718528504 517878464900 523592985892 532166614216 535433667100 541341900668 541647916440 544665282050 550675381714 560008862760 569664187980 621454157880 622303138970 631811727178 632850649800 642520400520 643398160630 643761867900 653598338460 654303214200 654491232365 665208267770 665584304100 676677375835 677059895550 688146483900 700011078450 712080234975 746763766764 772077792756 776817697350 785389478838 798249921324 803150500650 812012851002 816997923075 826013072571 902746527400 933348104600 933454708455 947717590767 949440313300 965097240945 997812401655 1035756929800 1047185971784 1070867334200 1082683801336 1089330564100 1101350763428 1139328375960 1244606277940 1263623454356 1286796321260 1287523735800 1307196676920 1308982464730 1330416535540 1331168608200 1353354751670 1354119791100 1376292967800 1376688454285 1400022156900 1424160469950 1493527533528 1544155585512 1553635394700 1555757847425 1570778957676 1579529317945 1596499842648 1606301001300 1608495401575 1624025702004 1633995846150 1652026145142 1663020669425 1866909416910 1895435181534 1898880626600 1930194481890 1963473697095 1995624803310 2030032127505 2178661128200 2202701526856 2489212555880 2527246908712 2573592642520 2617964929460 2660833071080 2706709503340 2708239582200 2753376908570 2800044313800 2848320939900 3107270789400 3111515694850 3141557915352 3159058635890 3212602002600 3216990803150 3248051404008 3267991692300 3272456161825 3304052290284 3326041338850 3383386879175 3733818833820 3790870363068 3796049147717 3860388963780 3924728779843 3926947394190 3991249606620 4060064255010 4130065362855 4667273542275 4738587953835 4825486204725 4989062008275 5235929858920 5413419006680 5506753817140 5696641879800 6223031389700 6318117271780 6433981606300 6535983384600 6544912323650 6608104580568 6652082677700 6766773758350 6883442271425 7467637667640 7581740726136 7592098295434 7720777927560 7849457559686 7853894788380 7897646589725 7982499213240 7984793034853 8120128510020 8260130725710 9334547084550 9477175907670 9650972409450 9817368485475 9978124016550 10150160637525 11013507634280 11388147443151 11774186339529 12446062779400 12636234543560 12867963212600 13089824647300 13304165355400 13533547516700 13766884542850 15184196590868 15698915119372 15707789576760 15795293179450 15969586069706 16240257020040 16520261451420 18669094169100 18954351815340 18980245738585 19301944818900 19623643899215 19634736970950 19956248033100 20300321275050 20650326814275 22776294886302 23548372679058 23692939769175 23954379104559 26179649294600 27067095033400 27533769085700 30368393181736 31397830238744 31590586358900 31939172139412 33040522902840 37338188338200 37908703630680 37960491477170 38603889637800 39247287798430 39269473941900 39912496066200 39923965174265 40600642550100 41300653628550 45552589772604 47096745358116 47385879538350 47908758209118 55067538171400 56940737215755 58870931697645 63181172717800 63878344278824 75920982954340 78494575596860 78538947883800 79847930348530 81201285100200 82601307257100 91105179545208 94193490716232 94771759076700 94901228692925 95817516418236 98118219496075 113881474431510 117741863395290 119771895522795 151841965908680 156989151193720 159695860697060 165202614514200 189543518153400 189802457385850 191635032836472 196236438992150 199619825871325 227762948863020 231558998010737 235483726790580 239543791045590 284703686078775 294354658488225 319391721394120 379604914771700 392472877984300 399239651742650 455525897726040 463117996021474 470967453581160 479087582091180 569407372157550 588709316976450 598859477613975 694676994032211 759209829543400 784945755968600 798479303485300 926235992042948 958175164182360 1138814744315100 1157794990053685 1177418633952900 1197718955227950 1389353988064422 1596958606970600 1852471984085896 2277629488630200 2315589980107370 2354837267905800 2395437910455900 2778707976128844 3473384970161055 4631179960214740 4790875820911800 5557415952257688 5788974950268425 6946769940322110 9262359920429480 11577949900536850 13893539880644220 17366924850805275 23155899801073700 27787079761288440 34733849701610550 46311799602147400 69467699403221100 138935398806442200
- Sum of all divisors σ(n): 461960261383327200
- Sum of proper divisors (its aliquot sum) s(n): 323024862576885000
- 138935398806442200 is an abundant number, because the sum of its proper divisors (323024862576885000) is greater than itself. Its abundance is 184089463770442800
Bases of 138935398806442200
- Binary: 1111011011001100100000010010101001001010111010000110110002
- Hexadecimal: 0x1ED99025495D0D8
- Base-36: 1200HL2ZNTNC
Squares and roots of 138935398806442200
- 138935398806442200 squared (1389353988064422002) is 19303045041505140692340221940840000
- 138935398806442200 cubed (1389353988064422003) is 2681876261020233351106781257999309584779279448000000
-
The
square root of 138935398806442200 is 372740390.6292450619 -
The
cube root of 138935398806442200 is 517929.8847252913
Scales and comparisons
How big is 138935398806442200?- 138,935,398,806,442,200 seconds is equal to 4,417,715,926 years, 33 weeks, 1 day, 18 hours, 50 minutes.
-
To count from 1 to 138,935,398,806,442,200 would take you about thirteen billion, two hundred fifty-three million, one hundred forty-seven thousand, seven hundred seventy-nine 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 138935398806442200 cubic inches would be around 43160.8 feet tall.
Recreational maths with 138935398806442200
- 138935398806442200 backwards is 002244608893539831
- 138935398806442200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138935398806442200's digits is 75
- More coming soon!
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"Number 138935398806442200 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138935398806442200 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138935398806442200/
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Numbermatics. 2024. "Number 138935398806442200 - Facts about the integer". https://numbermatics.com/n/138935398806442200/
The information we have on file for 138935398806442200 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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