138189869505576960
138,189,869,505,576,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 138189869505576960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 756 divisors.
138189869505576960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 138189869505576960:
220 × 3 × 5 × 672 × 13992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 67 × 67 × 1399 × 1399)See below for interesting mathematical facts about the number 138189869505576960 from the Numbermatics database.
Names of 138189869505576960
- Cardinal: 138189869505576960 can be written as One hundred thirty-eight quadrillion, one hundred eighty-nine trillion, eight hundred sixty-nine billion, five hundred five million, five hundred seventy-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3818986950557696 × 1017
Factors of 138189869505576960
Divisors of 138189869505576960
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 402 480 512 536 640 670 768 804 960 1005 1024 1072 1280 1340 1399 1536 1608 1920 2010 2048 2144 2560 2680 2798 3072 3216 3840 4020 4096 4197 4288 4489 5120 5360 5596 6144 6432 6995 7680 8040 8192 8394 8576 8978 10240 10720 11192 12288 12864 13467 13990 15360 16080 16384 16788 17152 17956 20480 20985 21440 22384 22445 24576 25728 26934 27980 30720 32160 32768 33576 34304 35912 40960 41970 42880 44768 44890 49152 51456 53868 55960 61440 64320 65536 67152 67335 68608 71824 81920 83940 85760 89536 89780 93733 98304 102912 107736 111920 122880 128640 131072 134304 134670 137216 143648 163840 167880 171520 179072 179560 187466 196608 205824 215472 223840 245760 257280 262144 268608 269340 274432 281199 287296 327680 335760 343040 358144 359120 374932 393216 411648 430944 447680 468665 491520 514560 524288 537216 538680 548864 562398 574592 655360 671520 686080 716288 718240 749864 786432 823296 861888 895360 937330 983040 1029120 1048576 1074432 1077360 1097728 1124796 1149184 1310720 1343040 1372160 1405995 1432576 1436480 1499728 1572864 1646592 1723776 1790720 1874660 1957201 1966080 2058240 2148864 2154720 2195456 2249592 2298368 2621440 2686080 2744320 2811990 2865152 2872960 2999456 3145728 3293184 3447552 3581440 3749320 3914402 3932160 4116480 4297728 4309440 4390912 4499184 4596736 5242880 5372160 5488640 5623980 5730304 5745920 5871603 5998912 6280111 6586368 6895104 7162880 7498640 7828804 7864320 8232960 8595456 8618880 8781824 8998368 9193472 9786005 10744320 10977280 11247960 11460608 11491840 11743206 11997824 12560222 13172736 13790208 14325760 14997280 15657608 15728640 16465920 17190912 17237760 17563648 17996736 18386944 18840333 19572010 21488640 21954560 22495920 22921216 22983680 23486412 23995648 25120444 26345472 27580416 28651520 29358015 29994560 31315216 31400555 32931840 34381824 34475520 35127296 35993472 36773888 37680666 39144020 42977280 43909120 44991840 45842432 45967360 46972824 47991296 50240888 52690944 55160832 57303040 58716030 59989120 62630432 62801110 65863680 68763648 68951040 70254592 71986944 73547776 75361332 78288040 85954560 87818240 89983680 91684864 91934720 93945648 94201665 95982592 100481776 105381888 110321664 114606080 117432060 119978240 125260864 125602220 131132467 131727360 137527296 137902080 143973888 147095552 150722664 156576080 171909120 175636480 179967360 183369728 183869440 187891296 188403330 191965184 200963552 210763776 220643328 229212160 234864120 239956480 250521728 251204440 262264934 263454720 275054592 275804160 287947776 294191104 301445328 313152160 343818240 351272960 359934720 366739456 367738880 375782592 376806660 383930368 393397401 401927104 441286656 458424320 469728240 479912960 501043456 502408880 524529868 526909440 550109184 551608320 575895552 588382208 602890656 626304320 655662335 687636480 719869440 733478912 735477760 751565184 753613320 767860736 786794802 803854208 882573312 916848640 939456480 959825920 1002086912 1004817760 1049059736 1053818880 1100218368 1103216640 1151791104 1176764416 1205781312 1252608640 1311324670 1375272960 1439738880 1466957824 1470955520 1503130368 1507226640 1535721472 1573589604 1607708416 1765146624 1833697280 1878912960 1919651840 1966987005 2004173824 2009635520 2098119472 2200436736 2206433280 2303582208 2353528832 2411562624 2505217280 2622649340 2750545920 2879477760 2941911040 3006260736 3014453280 3071442944 3147179208 3215416832 3530293248 3667394560 3757825920 3839303680 3933974010 4008347648 4019271040 4196238944 4400873472 4412866560 4607164416 4707057664 4823125248 5010434560 5245298680 5501091840 5758955520 5883822080 6012521472 6028906560 6142885888 6294358416 6430833664 7060586496 7334789120 7515651840 7678607360 7867948020 8016695296 8038542080 8392477888 8785875289 8825733120 9214328832 9646250496 10020869120 10490597360 11002183680 11517911040 11767644160 12025042944 12057813120 12285771776 12588716832 12861667328 14121172992 15031303680 15357214720 15735896040 16033390592 16077084160 16784955776 17571750578 17651466240 18428657664 19292500992 20041738240 20981194720 22004367360 23035822080 23535288320 24050085888 24115626240 24571543552 25177433664 25723334656 26357625867 30062607360 30714429440 31471792080 32066781184 32154168320 33569911552 35143501156 35302932480 36857315328 38585001984 40083476480 41962389440 43929376445 46071644160 48100171776 48231252480 49143087104 50354867328 51446669312 52715251734 60125214720 61428858880 62943584160 64133562368 64308336640 67139823104 70287002312 70605864960 73714630656 77170003968 80166952960 83924778880 87858752890 92143288320 96200343552 96462504960 98286174208 100709734656 102893338624 105430503468 120250429440 122857717760 125887168320 128267124736 128616673280 131788129335 134279646208 140574004624 147429261312 154340007936 160333905920 167849557760 175717505780 184286576640 192400687104 192925009920 201419469312 205786677248 210861006936 240500858880 245715435520 251774336640 256534249472 257233346560 263576258670 268559292416 281148009248 294858522624 308680015872 320667811840 335699115520 351435011560 368573153280 384801374208 385850019840 402838938624 411573354496 421722013872 481001717760 491430871040 503548673280 513068498944 514466693120 527152517340 537118584832 562296018496 617360031744 641335623680 671398231040 702870023120 737146306560 769602748416 771700039680 805677877248 823146708992 843444027744 962003435520 1007097346560 1026136997888 1028933386240 1054305034680 1074237169664 1124592036992 1234720063488 1282671247360 1342796462080 1405740046240 1474292613120 1539205496832 1543400079360 1611355754496 1646293417984 1686888055488 1924006871040 2014194693120 2052273995776 2057866772480 2108610069360 2148474339328 2249184073984 2469440126976 2565342494720 2685592924160 2811480092480 3078410993664 3086800158720 3222711508992 3292586835968 3373776110976 3848013742080 4028389386240 4115733544960 4217220138720 4296948678656 4498368147968 4938880253952 5130684989440 5371185848320 5622960184960 6156821987328 6173600317440 6445423017984 6585173671936 6747552221952 7696027484160 8056778772480 8231467089920 8434440277440 8593897357312 8996736295936 9877760507904 10261369978880 10742371696640 11245920369920 12347200634880 12890846035968 13495104443904 15392054968320 16113557544960 16462934179840 16868880554880 17187794714624 17993472591872 19755521015808 21484743393280 22491840739840 24694401269760 25781692071936 26990208887808 30784109936640 32227115089920 32925868359680 33737761109760 34375589429248 35986945183744 42969486786560 44983681479680 49388802539520 51563384143872 53980417775616 64454230179840 67475522219520 68751178858496 71973890367488 85938973573120 89967362959360 98777605079040 103126768287744 107960835551232 128908460359680 134951044439040 137502357716992 143947780734976 171877947146240 179934725918720 206253536575488 215921671102464 257816920719360 269902088878080 287895561469952 343755894292480 359869451837440 412507073150976 431843342204928 515633841438720 539804177756160 575791122939904 687511788584960 719738903674880 863686684409856 1031267682877440 1079608355512320 1151582245879808 1439477807349760 1727373368819712 2062535365754880 2159216711024640 2303164491759616 2878955614699520 3454746737639424 4318433422049280 4606328983519232 5757911229399040 6909493475278848 8636866844098560 9212657967038464 11515822458798080 13818986950557696 17273733688197120 23031644917596160 27637973901115392 34547467376394240 46063289835192320 69094934752788480 138189869505576960
- Sum of all divisors σ(n): 449227096379695368
- Sum of proper divisors (its aliquot sum) s(n): 311037226874118408
- 138189869505576960 is an abundant number, because the sum of its proper divisors (311037226874118408) is greater than itself. Its abundance is 172847357368541448
Bases of 138189869505576960
- Binary: 1111010101111001011110100010000110111000000000000000000002
- Hexadecimal: 0x1EAF2F443700000
- Base-36: 11SO7XNEX7UO
Squares and roots of 138189869505576960
- 138189869505576960 squared (1381898695055769602) is 19096440033968388999244542482841600
- 138189869505576960 cubed (1381898695055769603) is 2638934556315167325142679271004313536816308289536000
-
The
square root of 138189869505576960 is 371738980.3418212421 -
The
cube root of 138189869505576960 is 517001.8163865825
Scales and comparisons
How big is 138189869505576960?- 138,189,869,505,576,960 seconds is equal to 4,394,010,400 years, 49 weeks, 1 day, 4 hours, 16 minutes.
-
To count from 1 to 138,189,869,505,576,960 would take you about thirteen billion, one hundred eighty-two million, thirty-one thousand, two hundred two 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 138189869505576960 cubic inches would be around 43083.5 feet tall.
Recreational maths with 138189869505576960
- 138189869505576960 backwards is 069675505968981831
- 138189869505576960 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138189869505576960's digits is 96
- More coming soon!
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The information we have on file for 138189869505576960 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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