138947597313822720
138,947,597,313,822,720 is an even composite number composed of four prime numbers multiplied together.
What does the number 138947597313822720 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1326 divisors.
138947597313822720 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty-six divisors.
Prime factorization of 138947597313822720:
212 × 316 × 5 × 3972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 397 × 397)See below for interesting mathematical facts about the number 138947597313822720 from the Numbermatics database.
Names of 138947597313822720
- Cardinal: 138947597313822720 can be written as One hundred thirty-eight quadrillion, nine hundred forty-seven trillion, five hundred ninety-seven billion, three hundred thirteen million, eight hundred twenty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3894759731382272 × 1017
Factors of 138947597313822720
Divisors of 138947597313822720
- Number of divisors d(n): 1326
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 256 270 288 320 324 360 384 397 405 432 480 486 512 540 576 640 648 720 729 768 794 810 864 960 972 1024 1080 1152 1191 1215 1280 1296 1440 1458 1536 1588 1620 1728 1920 1944 1985 2048 2160 2187 2304 2382 2430 2560 2592 2880 2916 3072 3176 3240 3456 3573 3645 3840 3888 3970 4096 4320 4374 4608 4764 4860 5120 5184 5760 5832 5955 6144 6352 6480 6561 6912 7146 7290 7680 7776 7940 8640 8748 9216 9528 9720 10240 10368 10719 10935 11520 11664 11910 12288 12704 12960 13122 13824 14292 14580 15360 15552 15880 17280 17496 17865 18432 19056 19440 19683 20480 20736 21438 21870 23040 23328 23820 25408 25920 26244 27648 28584 29160 30720 31104 31760 32157 32805 34560 34992 35730 36864 38112 38880 39366 41472 42876 43740 46080 46656 47640 50816 51840 52488 53595 55296 57168 58320 59049 61440 62208 63520 64314 65610 69120 69984 71460 76224 77760 78732 82944 85752 87480 92160 93312 95280 96471 98415 101632 103680 104976 107190 110592 114336 116640 118098 124416 127040 128628 131220 138240 139968 142920 152448 155520 157464 157609 160785 165888 171504 174960 177147 184320 186624 190560 192942 196830 203264 207360 209952 214380 228672 233280 236196 248832 254080 257256 262440 276480 279936 285840 289413 295245 304896 311040 314928 315218 321570 331776 343008 349920 354294 373248 381120 385884 393660 406528 414720 419904 428760 457344 466560 472392 472827 482355 497664 508160 514512 524880 531441 552960 559872 571680 578826 590490 609792 622080 629856 630436 643140 686016 699840 708588 746496 762240 771768 787320 788045 813056 829440 839808 857520 868239 885735 914688 933120 944784 945654 964710 995328 1016320 1029024 1049760 1062882 1119744 1143360 1157652 1180980 1219584 1244160 1259712 1260872 1286280 1372032 1399680 1417176 1418481 1447065 1492992 1524480 1543536 1574640 1576090 1594323 1626112 1658880 1679616 1715040 1736478 1771470 1829376 1866240 1889568 1891308 1929420 2032640 2058048 2099520 2125764 2239488 2286720 2315304 2361960 2364135 2439168 2488320 2519424 2521744 2572560 2604717 2657205 2744064 2799360 2834352 2836962 2894130 2985984 3048960 3087072 3149280 3152180 3188646 3359232 3430080 3472956 3542940 3658752 3732480 3779136 3782616 3858840 4065280 4116096 4199040 4251528 4255443 4341195 4478976 4573440 4630608 4723920 4728270 4782969 4878336 4976640 5038848 5043488 5145120 5209434 5314410 5488128 5598720 5668704 5673924 5788260 6097920 6174144 6298560 6304360 6377292 6718464 6860160 6945912 7085880 7092405 7317504 7464960 7558272 7565232 7717680 7814151 7971615 8130560 8232192 8398080 8503056 8510886 8682390 8957952 9146880 9261216 9447840 9456540 9565938 10077696 10086976 10290240 10418868 10628820 10976256 11197440 11337408 11347848 11576520 12195840 12348288 12597120 12608720 12754584 12766329 13023585 13436928 13720320 13891824 14171760 14184810 14348907 14635008 14929920 15116544 15130464 15435360 15628302 15943230 16464384 16796160 17006112 17021772 17364780 18293760 18522432 18895680 18913080 19131876 20155392 20173952 20580480 20837736 21257640 21277215 21952512 22394880 22674816 22695696 23153040 23442453 23914845 24391680 24696576 25194240 25217440 25509168 25532658 26047170 26873856 27440640 27783648 28343520 28369620 28697814 30233088 30260928 30870720 31256604 31886460 32928768 33592320 34012224 34043544 34729560 36587520 37044864 37791360 37826160 38263752 38298987 39070755 40310784 40347904 41160960 41675472 42515280 42554430 43046721 43905024 44789760 45349632 45391392 46306080 46884906 47829690 49393152 50388480 50434880 51018336 51065316 52094340 54881280 55567296 56687040 56739240 57395628 60466176 60521856 61741440 62513208 63772920 63831645 65857536 67184640 68024448 68087088 69459120 70327359 71744535 73175040 74089728 75582720 75652320 76527504 76597974 78141510 80621568 80695808 82321920 83350944 85030560 85108860 86093442 90699264 90782784 92612160 93769812 95659380 98786304 100776960 100869760 102036672 102130632 104188680 109762560 111134592 113374080 113478480 114791256 114896961 117212265 120932352 121043712 123482880 125026416 127545840 127663290 131715072 134369280 136048896 136174176 138918240 140654718 143489070 148179456 151165440 151304640 153055008 153195948 156283020 161391616 164643840 166701888 170061120 170217720 172186884 181398528 181565568 185224320 187539624 191318760 191494935 197572608 201553920 201739520 204073344 204261264 208377360 210982077 215233605 219525120 222269184 226748160 226956960 229582512 229793922 234424530 241864704 242087424 246965760 250052832 255091680 255326580 272097792 272348352 277836480 281309436 286978140 296358912 302330880 302609280 306110016 306391896 312566040 322783232 329287680 333403776 340122240 340435440 344373768 344690883 351636795 362797056 363131136 370448640 375079248 382637520 382989870 395145216 403107840 403479040 408146688 408522528 416754720 421964154 430467210 444538368 453496320 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9001901952 9183300480 9191756880 9306653841 9494193465 9683496960 9795520512 9804540672 10002113280 10127139696 10340726490 10668920832 10883911680 10893934080 11019960576 11030108256 11252377440 11393032158 12002535936 12244400640 12255675840 12408871788 12658924620 13072720896 13336151040 13502852928 13774950720 13787635320 14525245440 14693280768 14706811008 15003169920 15190709544 15511089735 16003381248 16325867520 16340901120 16545162384 16878566160 17089548237 17430294528 17781534720 18003803904 18366600960 18383513760 18613307682 18988386930 19591041024 19609081344 20004226560 20254279392 20681452980 21787868160 22039921152 22060216512 22504754880 22786064316 24005071872 24488801280 24511351680 24817743576 25317849240 26145441792 26672302080 27005705856 27549901440 27575270640 27919961523 28482580395 29050490880 29386561536 29413622016 30006339840 30381419088 31022179470 32006762496 32651735040 32681802240 33090324768 33757132320 34179096474 36007607808 36733201920 36767027520 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1005118614828 1058890392576 1080228234240 1093731087168 1116798460920 1176544880640 1191251691648 1215256763520 1256398268535 1296273881088 1323612990720 1340158153104 1367163858960 1411853856768 1440304312320 1458308116224 1489064614560 1507677922242 1588335588864 1620342351360 1675197691380 1764817320960 1786877537472 1822885145280 1944410821632 1985419486080 2010237229656 2117780785152 2160456468480 2187462174336 2233596921840 2261516883363 2353089761280 2382503383296 2430513527040 2512796537070 2592547762176 2647225981440 2680316306208 2734327717920 2916616232448 2978129229120 3015355844484 3176671177728 3240684702720 3350395382760 3529634641920 3573755074944 3645770290560 3769194805605 3888821643264 3970838972160 4020474459312 4235561570304 4320912936960 4374924348672 4467193843680 4523033766726 4765006766592 4861027054080 5025593074140 5294451962880 5360632612416 5468655435840 5833232464896 5956258458240 6030711688968 6353342355456 6481369405440 6700790765520 6784550650089 7059269283840 7147510149888 7291540581120 7538389611210 7777643286528 7941677944320 8040948918624 8749848697344 8934387687360 9046067533452 9530013533184 9722054108160 10051186148280 10588903925760 10721265224832 10937310871680 11307584416815 11666464929792 11912516916480 12061423377936 12706684710912 12962738810880 13401581531040 13569101300178 14295020299776 14583081162240 15076779222420 15883355888640 16081897837248 17499697394688 17868775374720 18092135066904 19060027066368 19444108216320 20102372296560 21177807851520 21442530449664 21874621743360 22615168833630 23332929859584 23825033832960 24122846755872 26803163062080 27138202600356 28590040599552 29166162324480 30153558444840 31766711777280 32163795674496 33922753250445 34999394789376 35737550749440 36184270133808 38120054132736 38888216432640 40204744593120 42885060899328 43749243486720 45230337667260 47650067665920 48245693511744 53606326124160 54276405200712 57180081199104 58332324648960 60307116889680 63533423554560 64327591348992 67845506500890 69998789578752 71475101498880 72368540267616 80409489186240 85770121798656 87498486973440 90460675334520 95300135331840 96491387023488 107212652248320 108552810401424 114360162398208 116664649297920 120614233779360 128655182697984 135691013001780 142950202997760 144737080535232 160818978372480 171540243597312 174996973946880 180921350669040 190600270663680 192982774046976 214425304496640 217105620802848 241228467558720 257310365395968 271382026003560 285900405995520 289474161070464 321637956744960 343080487194624 349993947893760 361842701338080 385965548093952 428850608993280 434211241605696 482456935117440 514620730791936 542764052007120 571800811991040 578948322140928 643275913489920 723685402676160 771931096187904 857701217986560 868422483211392 964913870234880 1029241461583872 1085528104014240 1157896644281856 1286551826979840 1447370805352320 1543862192375808 1715402435973120 1736844966422784 1929827740469760 2171056208028480 2315793288563712 2573103653959680 2894741610704640 3087724384751616 3473689932845568 3859655480939520 4342112416056960 4631586577127424 5146207307919360 5789483221409280 6947379865691136 7719310961879040 8684224832113920 9263173154254848 11578966442818560 13894759731382272 15438621923758080 17368449664227840 23157932885637120 27789519462764544 34736899328455680 46315865771274240 69473798656911360 138947597313822720
- Sum of all divisors σ(n): 501413283258913782
- Sum of proper divisors (its aliquot sum) s(n): 362465685945091062
- 138947597313822720 is an abundant number, because the sum of its proper divisors (362465685945091062) is greater than itself. Its abundance is 223518088631268342
Bases of 138947597313822720
- Binary: 1111011011010010000011010100001000100100011010000000000002
- Hexadecimal: 0x1EDA41A8448D000
- Base-36: 1204T9000000
Squares and roots of 138947597313822720
- 138947597313822720 squared (1389475973138227202) is 19306434799284234754492379588198400
- 138947597313822720 cubed (1389475973138227203) is 2682582728056519621334633702365348020885701787648000
-
The
square root of 138947597313822720 is 372756753.5455564619 -
The
cube root of 138947597313822720 is 517945.0423373397
Scales and comparisons
How big is 138947597313822720?- 138,947,597,313,822,720 seconds is equal to 4,418,103,801 years, 22 weeks, 6 days, 19 hours, 12 minutes.
-
To count from 1 to 138,947,597,313,822,720 would take you about thirteen billion, two hundred fifty-four million, three hundred eleven thousand, four hundred four 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 138947597313822720 cubic inches would be around 43162.1 feet tall.
Recreational maths with 138947597313822720
- 138947597313822720 backwards is 027228313795749831
- 138947597313822720 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138947597313822720's digits is 81
- More coming soon!
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"Number 138947597313822720 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138947597313822720 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138947597313822720/
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Numbermatics. 2024. "Number 138947597313822720 - Facts about the integer". https://numbermatics.com/n/138947597313822720/
The information we have on file for 138947597313822720 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 138947597313822720, math, Factors of 138947597313822720, curriculum, school, college, exams, university, Prime factorization of 138947597313822720, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred forty-seven trillion, five hundred ninety-seven billion, three hundred thirteen million, eight hundred twenty-two thousand, seven hundred twenty.