138442723335787520
138,442,723,335,787,520 is an even composite number composed of five prime numbers multiplied together.
What does the number 138442723335787520 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 990 divisors.
138442723335787520 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred ninety divisors.
Prime factorization of 138442723335787520:
210 × 5 × 134 × 292 × 10612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 13 × 13 × 29 × 29 × 1061 × 1061)See below for interesting mathematical facts about the number 138442723335787520 from the Numbermatics database.
Names of 138442723335787520
- Cardinal: 138442723335787520 can be written as One hundred thirty-eight quadrillion, four hundred forty-two trillion, seven hundred twenty-three billion, three hundred thirty-five million, seven hundred eighty-seven thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3844272333578752 × 1017
Factors of 138442723335787520
Divisors of 138442723335787520
- Number of divisors d(n): 990
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 169 208 232 256 260 290 320 338 377 416 464 512 520 580 640 676 754 832 841 845 928 1024 1040 1061 1160 1280 1352 1508 1664 1682 1690 1856 1885 2080 2122 2197 2320 2560 2704 3016 3328 3364 3380 3712 3770 4160 4205 4244 4394 4640 4901 5120 5305 5408 6032 6656 6728 6760 7424 7540 8320 8410 8488 8788 9280 9802 10610 10816 10933 10985 12064 13312 13456 13520 13793 14848 15080 16640 16820 16976 17576 18560 19604 21220 21632 21866 21970 24128 24505 26912 27040 27586 28561 29696 30160 30769 33280 33640 33952 35152 37120 39208 42440 43264 43732 43940 48256 49010 53824 54080 54665 55172 57122 60320 61538 63713 66560 67280 67904 68965 70304 74240 78416 84880 86528 87464 87880 96512 98020 107648 108160 109330 110344 114244 120640 123076 127426 134560 135808 137930 140608 142129 142805 148480 153845 156832 169760 173056 174928 175760 179309 193024 196040 215296 216320 218660 220688 228488 241280 246152 254852 269120 271616 275860 281216 284258 285610 307690 313664 318565 339520 349856 351520 358618 386048 392080 399997 430592 432640 437320 441376 456976 482560 492304 509704 538240 543232 551720 562432 568516 571220 615380 627328 637130 679040 699712 703040 710645 717236 784160 799994 828269 861184 865280 874640 882752 892301 896545 913952 965120 984608 1019408 1076480 1086464 1103440 1124864 1125721 1137032 1142440 1230760 1254656 1274260 1358080 1399424 1406080 1421290 1434472 1568320 1599988 1656538 1749280 1765504 1784602 1793090 1827904 1847677 1930240 1969216 1999985 2038816 2152960 2206880 2249728 2251442 2274064 2284880 2331017 2461520 2509312 2548520 2716160 2798848 2812160 2842580 2868944 3136640 3199976 3313076 3498560 3531008 3569204 3586180 3655808 3695354 3938432 3999970 4077632 4141345 4305920 4413760 4461505 4502884 4548128 4569760 4662034 4923040 5018624 5097040 5199961 5432320 5597696 5624320 5628605 5685160 5737888 6273280 6399952 6626152 6997120 7062016 7138408 7172360 7311616 7390708 7876864 7999940 8155264 8282690 8827520 8923010 9005768 9096256 9139520 9238385 9324068 9846080 10194080 10399922 11195392 11248640 11257210 11370320 11475776 11599913 11655085 12546560 12799904 13252304 13994240 14124032 14276816 14344720 14623232 14634373 14781416 15753728 15999880 16310528 16565380 17655040 17846020 18011536 18192512 18279040 18476770 18648136 19692160 20388160 20799844 22514420 22740640 22951552 23199826 23310170 24019801 25093120 25599808 25999805 26504608 27988480 28553632 28689440 29246464 29268746 29562832 30303221 31507456 31999760 32621056 32645909 33130760 35310080 35692040 36023072 36385024 36558080 36953540 37296272 39384320 40776320 41599688 45028840 45481280 45903104 46399652 46620340 48039602 51199616 51999610 53009216 55976960 57107264 57378880 57999565 58537492 59125664 60606442 63999520 65242112 65291818 66261520 67599493 70620160 71384080 72046144 72770048 73116160 73171865 73907080 74592544 78768640 81552640 83199376 90057680 90962560 91806208 92799304 93240680 96079204 102399232 103999220 106018432 114214528 114757760 115999130 117074984 118251328 120099005 121212884 127999040 130583636 132523040 135198986 142768160 144092288 145540096 146232320 146343730 147814160 149185088 150798869 151516105 157537280 163105280 163229545 166398752 180115360 181925120 183612416 185598608 186481360 190246849 192158408 204798464 207998440 212036864 228429056 229515520 231998260 234149968 236502656 240198010 242425768 255998080 261167272 265046080 270397972 285536320 288184576 292687460 295628320 298370176 301597738 303032210 326210560 326459090 332797504 337997465 360230720 363850240 371197216 372962720 380493698 384316816 409596928 415996880 424073728 424396817 456858112 459031040 463996520 468299936 473005312 480396020 484851536 511996160 522334544 530092160 540795944 571072640 576369152 585374920 591256640 596740352 603195476 606064420 652918180 665595008 675994930 720461440 727700480 742394432 745925440 753994345 760987396 768633632 831993760 848147456 848793634 878793409 913716224 918062080 927993040 936599872 946010624 946731361 951234245 960792040 969703072 1023992320 1044669088 1060184320 1081591888 1142145280 1152738304 1170749840 1182513280 1193480704 1206390952 1212128840 1305836360 1331190016 1351989860 1440922880 1484788864 1491850880 1507988690 1521974792 1537267264 1663987520 1697587268 1757586818 1855986080 1873199744 1892021248 1893462722 1902468490 1921584080 1939406144 1960385297 2047984640 2089338176 2120368640 2121984085 2163183776 2284290560 2341499680 2365026560 2386961408 2412781904 2424257680 2473209037 2611672720 2662380032 2703979720 2881845760 2969577728 2983701760 3015977380 3043949584 3074534528 3327975040 3395174536 3515173636 3711972160 3746399488 3786925444 3804936980 3843168160 3878812288 3920770594 4178676352 4240737280 4243968170 4326367552 4393967045 4568581120 4682999360 4730053120 4733656805 4825563808 4848515360 4946418074 5223345440 5324760064 5407959440 5517158621 5763691520 5939155456 5967403520 6031954760 6087899168 6149069056 6655950080 6790349072 7030347272 7423944320 7492798976 7573850888 7609873960 7686336320 7757624576 7841541188 8357352704 8487936340 8652735104 8787934090 9365998720 9460106240 9467313610 9651127616 9697030720 9801926485 9892836148 10446690880 10815918880 11034317242 11878310912 11934807040 12063909520 12175798336 12298138112 12307507693 12366045185 13311900160 13580698144 14060694544 14847888640 14985597952 15147701776 15219747920 15372672640 15515249152 15683082376 16714705408 16975872680 17305470208 17575868180 18731997440 18934627220 19302255232 19394061440 19603852970 19785672296 20893381760 21631837760 22068634484 24127819040 24351596672 24596276224 24615015386 24732090370 25485008861 26623800320 27161396288 27585793105 28121389088 29695777280 30295403552 30439495840 30745345280 31030498304 31366164752 32151717481 33429410816 33951745360 34610940416 35151736360 37463994880 37869254440 38604510464 38788122880 39207705940 39571344592 41786763520 43263675520 44137268968 48255638080 48703193344 49230030772 49464180740 50970017722 54322792576 55171586210 56242778176 59391554560 60590807104 60878991680 61490690560 61537538465 62732329504 64303434962 67903490720 69221880832 70303472720 71723062073 74927989760 75738508880 77209020928 77576245760 78415411880 79142689184 83573527040 86527351040 88274537936 96511276160 97406386688 98460061544 98928361480 101940035444 108645585152 110343172420 112485556352 121181614208 121757983360 122981381120 123075076930 125464659008 127425044305 128606869924 135806981440 140606945440 143446124146 151477017760 154418041856 155152491520 156830823760 158285378368 159997600009 160758587405 167147054080 173054702080 176549075872 193022552320 194812773376 196920123088 197856722960 203880070888 217291170304 220686344840 224971112704 242363228416 243515966720 246150153860 250929318016 254850088610 257213739848 271613962880 281213890880 286892248292 302954035520 313661647520 316570756736 319995200018 321517174810 346109404160 353098151744 358615310365 386045104640 393840246176 395713445920 407760141776 434582340608 441372689680 449942225408 484726456832 487031933440 492300307720 501858636032 509700177220 514427479696 543227925760 562427781760 573784496584 605908071040 627323295040 633141513472 639990400036 643034349620 706196303488 717230620730 772090209280 787680492352 791426891840 799988000045 815520283552 882745379360 899884450816 932399806949 969452913664 974063866880 984600615440 1003717272064 1019400354440 1028854959392 1086455851520 1124855563520 1147568993168 1211816142080 1254646590080 1266283026944 1279980800072 1286068699240 1412392606976 1434461241460 1575360984704 1582853783680 1599976000090 1631040567104 1765490758720 1864799613898 1969201230880 2007434544128 2038800708880 2057709918784 2079968800117 2172911703040 2249711127040 2295137986336 2423632284160 2509293180160 2532566053888 2559961600144 2572137398480 2824785213952 2868922482920 3150721969408 3165707567360 3199952000180 3262081134208 3530981517440 3729599227796 3938402461760 4077601417760 4115419837568 4159937600234 4499422254080 4590275972672 4661999034745 4847264568320 5018586360320 5119923200288 5144274796960 5649570427904 5737844965840 6301443938816 6331415134720 6399904000360 6524162268416 7061963034880 7459198455592 7876804923520 8155202835520 8230839675136 8319875200468 9180551945344 9323998069490 10037172720640 10239846400576 10288549593920 10399844000585 11475689931680 12602887877632 12662830269440 12799808000720 13048324536832 14123926069760 14918396911184 15753609847040 16310405671040 16461679350272 16639750400936 18361103890688 18647996138980 20479692801152 20577099187840 20799688001170 22951379863360 25599616001440 26096649073664 27039594401521 28247852139520 29836793822368 31507219694080 32620811342080 32923358700544 33279500801872 36722207781376 37295992277960 40959385602304 41154198375680 41599376002340 45902759726720 51199232002880 54079188803042 59673587644736 63014439388160 65241622684160 66559001603744 73444415562752 74591984555920 81918771204608 82308396751360 83198752004680 91805519453440 102398464005760 108158377606084 119347175289472 130483245368320 133118003207488 135197972007605 149183969111840 163837542409216 164616793502720 166397504009360 183611038906880 204796928011520 216316755212168 238694350578944 266236006414976 270395944015210 298367938223680 332795008018720 367222077813760 409593856023040 432633510424336 477388701157888 532472012829952 540791888030420 596735876447360 665590016037440 819187712046080 865267020848672 954777402315776 1064944025659904 1081583776060840 1193471752894720 1331180032074880 1730534041697344 2129888051319808 2163167552121680 2386943505789440 2662360064149760 3461068083394688 4326335104243360 4773887011578880 5324720128299520 6922136166789376 8652670208486720 10649440256599040 13844272333578752 17305340416973440 27688544667157504 34610680833946880 69221361667893760 138442723335787520
- Sum of all divisors σ(n): 372959676892814466
- Sum of proper divisors (its aliquot sum) s(n): 234516953557026946
- 138442723335787520 is an abundant number, because the sum of its proper divisors (234516953557026946) is greater than itself. Its abundance is 96074230221239426
Bases of 138442723335787520
- Binary: 1111010111101100011101100011000100010101011010100000000002
- Hexadecimal: 0x1EBD8EC622AD400
- Base-36: 11V5UL3GXR7K
Squares and roots of 138442723335787520
- 138442723335787520 squared (1384427233357875202) is 19166387644629406349187178587750400
- 138442723335787520 cubed (1384427233357875203) is 2653446902031885115403711517441276534117009195008000
-
The
square root of 138442723335787520 is 372078920.8431290857 -
The
cube root of 138442723335787520 is 517316.9534240765
Scales and comparisons
How big is 138442723335787520?- 138,442,723,335,787,520 seconds is equal to 4,402,050,370 years, 32 weeks, 22 hours, 45 minutes, 20 seconds.
-
To count from 1 to 138,442,723,335,787,520 would take you about thirteen billion, two hundred six million, one hundred fifty-one thousand, one hundred eleven 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 138442723335787520 cubic inches would be around 43109.7 feet tall.
Recreational maths with 138442723335787520
- 138442723335787520 backwards is 025787533327244831
- The number of decimal digits it has is: 18
- The sum of 138442723335787520's digits is 74
- More coming soon!
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The information we have on file for 138442723335787520 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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