138261121460098694400
138,261,121,460,098,694,400 is an even composite number composed of six prime numbers multiplied together.
138261121460098694400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138261121460098694400:
28 × 3 × 52 × 7 × 234 × 606312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 23 × 23 × 23 × 23 × 60631 × 60631)See below for interesting mathematical facts about the number 138261121460098694400 from the Numbermatics database.
Names of 138261121460098694400
- Cardinal: 138261121460098694400 can be written as One hundred thirty-eight quintillion, two hundred sixty-one quadrillion, one hundred twenty-one trillion, four hundred sixty billion, ninety-eight million, six hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.382611214600986944 × 1020
Factors of 138261121460098694400
Divisors of 138261121460098694400
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 50 56 60 64 69 70 75 80 84 92 96 100 105 112 115 120 128 138 140 150 160 161 168 175 184 192 200 210 224 230 240 256 276 280 300 320 322 336 345 350 368 384 400 420 448 460 480 483 525 529 552 560 575 600 640 644 672 690 700 736 768 800 805 840 896 920 960 966 1050 1058 1104 1120 1150 1200 1280 1288 1344 1380 1400 1472 1587 1600 1610 1680 1725 1792 1840 1920 1932 2100 2116 2208 2240 2300 2400 2415 2576 2645 2688 2760 2800 2944 3174 3200 3220 3360 3450 3680 3703 3840 3864 4025 4200 4232 4416 4480 4600 4800 4830 5152 5290 5376 5520 5600 5888 6348 6400 6440 6720 6900 7360 7406 7728 7935 8050 8400 8464 8832 8960 9200 9600 9660 10304 10580 11040 11109 11200 12075 12167 12696 12880 13225 13440 13800 14720 14812 15456 15870 16100 16800 16928 17664 18400 18515 19200 19320 20608 21160 22080 22218 22400 24150 24334 25392 25760 26450 26880 27600 29440 29624 30912 31740 32200 33600 33856 36501 36800 37030 38640 39675 41216 42320 44160 44436 44800 48300 48668 50784 51520 52900 55200 55545 59248 60631 60835 61824 63480 64400 67200 67712 73002 73600 74060 77280 79350 84640 85169 88320 88872 92575 96600 97336 101568 103040 105800 110400 111090 118496 121262 121670 123648 126960 128800 134400 135424 146004 147200 148120 154560 158700 169280 170338 177744 181893 182505 185150 193200 194672 203136 206080 211600 220800 222180 236992 242524 243340 253920 255507 257600 277725 279841 292008 296240 303155 304175 309120 317400 338560 340676 355488 363786 365010 370300 386400 389344 406272 423200 424417 425845 441600 444360 473984 485048 486680 507840 511014 515200 555450 559682 584016 592480 606310 608350 618240 634800 677120 681352 710976 727572 730020 740600 772800 778688 839523 846400 848834 851690 888720 909465 912525 947968 970096 973360 1015680 1022028 1030400 1110900 1119364 1168032 1184960 1212620 1216700 1269600 1273251 1277535 1362704 1394513 1399205 1421952 1455144 1460040 1481200 1515775 1545600 1557376 1679046 1692800 1697668 1703380 1777440 1818930 1825050 1940192 1946720 1958887 2031360 2044056 2122085 2129225 2221800 2238728 2336064 2369920 2425240 2433400 2539200 2546502 2555070 2725408 2789026 2798410 2843904 2910288 2920080 2962400 3031550 3091200 3114752 3358092 3385600 3395336 3406760 3554880 3637860 3650100 3880384 3893440 3917774 4088112 4183539 4197615 4244170 4258450 4443600 4477456 4547325 4672128 4739840 4850480 4866800 5078400 5093004 5110140 5450816 5578052 5596820 5820576 5840160 5876661 5924800 6063100 6366255 6387675 6716184 6790672 6813520 6972565 6996025 7109760 7275720 7300200 7760768 7786880 7835548 8176224 8367078 8395230 8488340 8516900 8887200 8954912 9094650 9344256 9700960 9733600 9761591 9794435 10156800 10186008 10220280 10610425 10901632 11156104 11193640 11641152 11680320 11753322 11849600 12126200 12732510 12775350 13432368 13581344 13627040 13945130 13992050 14219520 14551440 14600400 15521536 15573760 15671096 16352448 16734156 16790460 16976680 17033800 17774400 17909824 18189300 19401920 19467200 19523182 19588870 20372016 20440560 20917695 20988075 21220850 21803264 22312208 22387280 23282304 23360640 23506644 23699200 24252400 25465020 25550700 26864736 27162688 27254080 27890260 27984100 29102880 29200800 29284773 29383305 31342192 31831275 32073799 32704896 33468312 33580920 33953360 34067600 34862825 35548800 35819648 36378600 38803840 38934400 39046364 39177740 40744032 40881120 41835390 41976150 42441700 44624416 44774560 46564608 46721280 47013288 48504800 48807955 48972175 50930040 51101400 53729472 54325376 54508160 55780520 55968200 58205760 58401600 58569546 58766610 62684384 63662550 64147598 65409792 66936624 67161840 67906720 68135200 69725650 71097600 71639296 72757200 77607680 77868800 78092728 78355480 81488064 81762240 83670780 83952300 84883400 89248832 89549120 94026576 96221397 97009600 97615910 97944350 101860080 102202800 104588475 107458944 108650752 109016320 111561040 111936400 116411520 116803200 117139092 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814880640 817622400 836707800 892488320 895491200 898066372 937112736 940265760 962213970 976159100 1018600800 1026361568 1070985984 1074589440 1115610400 1122582965 1164115200 1171390920 1175332200 1249483648 1253687680 1282951960 1338732480 1343236800 1347099558 1358134400 1464238650 1475394754 1504425216 1539542352 1561854560 1567109600 1603689950 1629761280 1635244800 1673415600 1784976640 1790982400 1796132744 1874225472 1880531520 1924427940 1952318200 2037201600 2052723136 2213092131 2231220800 2245165930 2342781840 2350664400 2405534925 2498967296 2507375360 2565903920 2677464960 2686473600 2694199116 2716268800 2928477300 2950789508 3079084704 3123709120 3134219200 3207379900 3346831200 3367748895 3592265488 3676118161 3688486885 3748450944 3761063040 3848855880 3904636400 4074403200 4105446272 4426184262 4462441600 4490331860 4685563680 4701328800 4811069850 5131807840 5163881639 5354929920 5372947200 5388398232 5612914825 5856954600 5901579016 6158169408 6247418240 6268438400 6414759800 6693662400 6735497790 7184530976 7352236322 7376973770 7496901888 7522126080 7697711760 7809272800 8148806400 8210892544 8852368524 8924883200 8980663720 9371127360 9402657600 9622139700 10263615680 10327763278 10776796464 11028354483 11065460655 11225829650 11713909200 11803158032 12316338816 12494836480 12536876800 12829519600 13387324800 13470995580 14369061952 14704472644 14753947540 15395423520 15491644917 15618545600 16838744475 16967039671 17704737048 17961327440 18380590805 18442434425 18742254720 18805315200 19244279400 20527231360 20655526556 21553592928 22056708966 22130921310 22451659300 23427818400 23606316064 24632677632 25659039200 25732827127 25819408195 26774649600 26941991160 28738123904 29408945288 29507895080 30790847040 30983289834 31237091200 33677488950 33934079342 35409474096 35922654880 36761181610 36884868850 37484509440 37610630400 38488558800 41054462720 41311053112 43107185856 44113417932 44261842620 44903318600 46855636800 47212632128 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190030844315200 194466650716900 202921722487200 204189983252745 217802648802928 223636648324435 227272329185664 228037013178240 233359980860280 236742009568400 247035140419200 248917312917632 268363977989322 270562296649600 272253311003660 284090411482080 285046266472800 291699976075350 311146641147040 313091307654209 324674755979520 325767161683200 326703973204392 340316638754575 355113014352600 357818637319096 373375969376448 378787215309440 380061688630400 388933301433800 405843444974400 408379966505490 435605297605856 447273296648870 454544658371328 456074026356480 466719961720560 473484019136800 494070280838400 497834625835264 536727955978644 541124593299200 544506622007320 568180822964160 570092532945600 583399952150700 622293282294080 626182615308418 653407946408784 670909944973305 680633277509150 710226028705200 715637274638192 746751938752896 757574430618880 760123377260800 777866602867600 811686889948800 816759933010980 871210595211712 894546593297740 933439923441120 939273922962627 946968038273600 1020949916263725 1028728582292401 1073455911957288 1089013244014640 1118183241622175 1136361645928320 1140185065891200 1166799904301400 1244586564588160 1252365230616836 1306815892817568 1341819889946610 1361266555018300 1420452057410400 1431274549276384 1493503877505792 1555733205735200 1565456538271045 1623373779897600 1633519866021960 1742421190423424 1789093186595480 1866879846882240 1878547845925254 1893936076547200 2041899832527450 2057457164584802 2146911823914576 2178026488029280 2236366483244350 2272723291856640 2280370131782400 2333599808602800 2489173129176320 2504730461233672 2613631785635136 2683639779893220 2722533110036600 2840904114820800 2862549098552768 3086185746877203 3111466411470400 3130913076542090 3267039732043920 3354549724866525 3484842380846848 3578186373190960 3733759693764480 3757095691850508 3787872153094400 4083799665054900 4114914329169604 4293823647829152 4356052976058560 4472732966488700 4667199617205600 4696369614813135 5009460922467344 5143642911462005 5227263571270272 5367279559786440 5445066220073200 5681808229641600 5725098197105536 6172371493754406 6222932822940800 6261826153084180 6534079464087840 6709099449733050 7156372746381920 7201100076046807 7467519387528960 7514191383701016 7827282691355225 8167599330109800 8229828658339208 8587647295658304 8712105952117120 8945465932977400 9334399234411200 9392739229626270 10018921844934688 10287285822924010 10454527142540544 10734559119572880 10890132440146400 11363616459283200 11450196394211072 12344742987508812 12445865645881600 12523652306168360 13068158928175680 13418198899466100 14312745492763840 14402200152093614 15028382767402032 15430928734386015 15654565382710450 16335198660219600 16459657316678416 17175294591316608 17424211904234240 17890931865954800 18668798468822400 18785478459252540 20037843689869376 20574571645848020 21469118239145760 21603300228140421 21780264880292800 23481848074065675 24689485975017624 25047304612336720 25718214557310025 26136317856351360 26836397798932200 28625490985527680 28804400304187228 30056765534804064 30861857468772030 31309130765420900 32670397320439200 32919314633356832 34350589182633216 35781863731909600 36005500380234035 37337596937644800 37570956918505080 40075687379738752 41149143291696040 42938236478291520 43206600456280842 43560529760585600 46963696148131350 49378971950035248 50094609224673440 51436429114620050 52272635712702720 53672795597864400 57250981971055360 57608800608374456 60113531069608128 61723714937544060 62618261530841800 65340794640878400 65838629266713664 71563727463819200 72011000760468070 75141913837010160 77154643671930075 80151374759477504 82298286583392080 85876472956583040 86413200912561684 87121059521171200 93927392296262700 98757943900070496 100189218449346880 102872858229240100 107345591195728800 108016501140702105 115217601216748912 120227062139216256 123447429875088120 125236523061683600 130681589281756800 131677258533427328 143127454927638400 144022001520936140 150283827674020320 154309287343860150 164596573166784160 171752945913166080 172826401825123368 180027501901170175 187854784592525400 197515887800140992 200378436898693760 205745716458480200 214691182391457600 216033002281404210 230435202433497824 240454124278432512 246894859750176240 250473046123367200 261363178563513600 263354517066854656 286254909855276800 288044003041872280 300567655348040640 308618574687720300 329193146333568320 345652803650246736 360055003802340350 375709569185050800 395031775600281984 400756873797387520 411491432916960400 429382364782915200 432066004562808420 460870404866995648 493789719500352480 500946092246734400 540082505703510525 576088006083744560 601135310696081280 617237149375440600 658386292667136640 691305607300493472 720110007604680700 751419138370101600 790063551200563968 822982865833920800 858764729565830400 864132009125616840 921740809733991296 987579439000704960 1001892184493468800 1080165011407021050 1152176012167489120 1202270621392162560 1234474298750881200 1316772585334273280 1382611214600986944 1440220015209361400 1502838276740203200 1645965731667841600 1728264018251233680 1843481619467982592 1975158878001409920 2003784368986937600 2160330022814042100 2304352024334978240 2468948597501762400 2765222429201973888 2880440030418722800 3005676553480406400 3291931463335683200 3456528036502467360 3950317756002819840 4320660045628084200 4608704048669956480 4937897195003524800 5530444858403947776 5760880060837445600 6011353106960812800 6583862926671366400 6913056073004934720 8641320091256168400 9217408097339912960 9875794390007049600 11521760121674891200 13826112146009869440 17282640182512336800 19751588780014099200 23043520243349782400 27652224292019738880 34565280365024673600 46087040486699564800 69130560730049347200 138261121460098694400
- Sum of all divisors σ(n): 545187173160589030176
- Sum of proper divisors (its aliquot sum) s(n): 406926051700490335776
- 138261121460098694400 is an abundant number, because the sum of its proper divisors (406926051700490335776) is greater than itself. Its abundance is 268664930240391641376
Bases of 138261121460098694400
- Binary: 11101111110110000100010110101101101110111000101000111111101000000002
- Hexadecimal: 0x77EC22D6DDC51FD00
- Base-36: T6FYD4AFI0LXC
Squares and roots of 138261121460098694400
- 138261121460098694400 squared (1382611214600986944002) is 19116137707404163728451653388584591360000
- 138261121460098694400 cubed (1382611214600986944003) is 2643018637411379678310530136393596062369620908693520384000000
-
The
square root of 138261121460098694400 is 11758448939.3839140997 -
The
cube root of 138261121460098694400 is 5170906.5806656577
Scales and comparisons
How big is 138261121460098694400?- 138,261,121,460,098,694,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 138,261,121,460,098,694,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138261121460098694400 cubic inches would be around 430908.9 feet tall.
Recreational maths with 138261121460098694400
- 138261121460098694400 backwards is 004496890064121162831
- 138261121460098694400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138261121460098694400's digits is 75
- More coming soon!
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The information we have on file for 138261121460098694400 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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