138124670918000
138,124,670,918,000 is an even composite number composed of eight prime numbers multiplied together.
138124670918000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138124670918000:
24 × 53 × 13 × 19 × 37 × 127 × 157 × 379
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 19 × 37 × 127 × 157 × 379)See below for interesting mathematical facts about the number 138124670918000 from the Numbermatics database.
Names of 138124670918000
- Cardinal: 138124670918000 can be written as One hundred thirty-eight trillion, one hundred twenty-four billion, six hundred seventy million, nine hundred eighteen thousand.
Scientific notation
- Scientific notation: 1.38124670918 × 1014
Factors of 138124670918000
Divisors of 138124670918000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 37 38 40 50 52 65 74 76 80 95 100 104 125 127 130 148 152 157 185 190 200 208 247 250 254 260 296 304 314 325 370 379 380 400 475 481 494 500 508 520 592 628 635 650 703 740 758 760 785 925 950 962 988 1000 1016 1040 1235 1256 1270 1300 1406 1480 1516 1520 1570 1625 1651 1850 1895 1900 1924 1976 2000 2032 2041 2375 2405 2413 2470 2512 2540 2600 2812 2960 2983 3032 3140 3175 3250 3302 3515 3700 3790 3800 3848 3925 3952 4082 4625 4699 4750 4810 4826 4927 4940 5080 5200 5624 5809 5966 6064 6175 6280 6350 6500 6604 7030 7201 7400 7580 7600 7696 7850 8164 8255 9139 9250 9398 9475 9500 9620 9652 9854 9880 10160 10205 11248 11618 11932 12025 12065 12350 12560 12700 13000 13208 14023 14060 14402 14800 14915 15160 15700 15875 16328 16510 17575 18278 18500 18796 18950 19000 19240 19304 19625 19708 19760 19939 20410 23236 23495 23864 24050 24130 24635 24700 25400 26000 26416 28046 28120 28804 29045 29830 30320 30875 31369 31400 31750 32656 33020 35150 36005 36556 37000 37592 37900 38000 38480 38608 38779 39250 39416 39878 40820 41275 45695 46472 46990 47375 47728 48100 48133 48260 49270 49400 50800 51025 56092 56240 57608 58090 59503 59660 60125 60325 61087 61750 62738 62800 63500 66040 70115 70300 72010 73112 74000 74575 75184 75517 75800 77558 78500 78832 79756 81640 82550 87875 89281 91390 92944 93613 93980 94750 96200 96266 96520 98540 98800 99695 102050 110371 112184 115216 116180 117475 119006 119320 120250 120650 122174 123175 123500 125476 127000 132080 140230 140600 144020 145225 146224 149150 151034 151600 155116 156845 157000 159512 163280 165100 175750 178562 180025 182299 182780 187226 187960 189500 192400 192532 193040 193895 197080 199390 204100 206375 220742 224368 228475 232360 234950 238012 238640 240500 240665 241300 244348 246350 247000 250952 254000 255125 259207 266437 280460 281200 288040 290450 297515 298300 301625 302068 305435 310232 313690 314000 319024 330200 350575 351500 357124 360050 364598 365560 372875 374452 375920 377585 378841 379000 385064 387790 394160 398780 408200 412750 441484 446405 456950 464720 468065 469900 476024 481000 481330 482600 488696 492700 494000 498475 501904 510250 518414 532874 551855 560920 576080 580900 587375 595030 596600 603250 604136 610870 615875 620464 625729 627380 660400 701150 703000 714248 720100 726125 729196 731120 737743 745750 748904 755170 757682 758000 770128 773539 775580 784225 797560 816400 825500 882968 892810 900125 911495 913900 914527 936130 939800 952048 962000 962660 965200 969475 977392 985400 996950 1020500 1036828 1065748 1103710 1121840 1130557 1142375 1160653 1161800 1174750 1190060 1193200 1203325 1206500 1208272 1221740 1231750 1251458 1254760 1296035 1332185 1402300 1406000 1428496 1434823 1440200 1452250 1458392 1475486 1487575 1491500 1497808 1510340 1515364 1527175 1547078 1551160 1568450 1595120 1651000 1752875 1765936 1780921 1785620 1800250 1822990 1827800 1829054 1872260 1879600 1887925 1894205 1925320 1938950 1970800 1993900 2041000 2073656 2131496 2201611 2207420 2232025 2261114 2284750 2321306 2323600 2340325 2349500 2380120 2406650 2413000 2443480 2463500 2492375 2502916 2509520 2592070 2664370 2759275 2804600 2869646 2880400 2904500 2916784 2950972 2975150 2983000 3020680 3030728 3054350 3094156 3102320 3128645 3136900 3302000 3463681 3505750 3561842 3571240 3600500 3645980 3655600 3658108 3688715 3744520 3775850 3788410 3850640 3867695 3877900 3921125 3987800 4082000 4147312 4262992 4403222 4414840 4464050 4522228 4557475 4569500 4572635 4642612 4680650 4699000 4760240 4813300 4826000 4847375 4886960 4924933 4927000 4984750 5005832 5184140 5328740 5518550 5609200 5652785 5739292 5803265 5809000 5901944 5950300 5966000 6016625 6041360 6061456 6108700 6188312 6257290 6273800 6480175 6660925 6927362 7011500 7123684 7142480 7174115 7201000 7291960 7316216 7377430 7437875 7489040 7551700 7556881 7576820 7635875 7735390 7755800 7842250 7975600 8806444 8829680 8904605 8928100 9044456 9114950 9139000 9145270 9285224 9361300 9398000 9439625 9471025 9590659 9626600 9694750 9849866 9854000 9969500 10011664 10368280 10657480 11008055 11037100 11160125 11305570 11478584 11606530 11618000 11701625 11803888 11888851 11900600 12033250 12217400 12376624 12514580 12547600 12960350 13321850 13796375 13854724 14017117 14023000 14247368 14348230 14402000 14583920 14632432 14697241 14754860 14875750 15103400 15113762 15153640 15271750 15470780 15511600 15643225 15684500 17318405 17612888 17809210 17856200 18088912 18229900 18278000 18290540 18443575 18570448 18722600 18879250 18942050 19181318 19253200 19338475 19389500 19699732 19939000 20736560 21314960 22016110 22074200 22320250 22611140 22787375 22863175 22957168 23151973 23213060 23403250 23777702 23801200 24066500 24434800 24624665 25029160 25920700 26643700 27592750 27709448 28034234 28046000 28263925 28494736 28620943 28696460 29016325 29394482 29509720 29751500 30206800 30227524 30307280 30543500 30941560 31286450 31369000 32400875 33304625 33837499 34636810 35225776 35618420 35712400 35870575 36459800 36581080 36887150 37445200 37758500 37784405 37884100 38362636 38676950 38779000 39399464 39878000 41830609 44032220 44148400 44523025 44640500 45222280 45574750 45726350 46303946 46426120 46806500 47355125 47555404 47953295 48133000 49249330 50058320 51841400 53287400 55040275 55185500 55418896 56068468 56527850 57241886 57392920 58032650 58788964 59019440 59444255 59503000 60455048 61087000 61883120 62572900 62738000 64801750 66609250 67674998 69273620 70085585 71236840 71741150 72919600 73162160 73486205 73774300 75517000 75568810 75768200 76725272 77353900 77558000 78216125 78798928 83661218 86592025 88064440 89046050 89281000 90444560 91149500 91452700 92217875 92607892 92852240 93613000 94710250 95110808 95906590 96266000 96692375 98239453 98498660 103682800 106574800 110080550 110371000 112136936 113055700 114315875 114483772 114785840 115759865 116065300 117577928 118888510 119006000 120910096 122174000 123123325 125145800 129603500 133218500 135349996 138547240 140171170 141319625 142473680 143104715 143482300 143580739 145081625 146972410 147548600 151034000 151137620 151536400 153450544 154707800 156432250 167322436 169187495 173184050 176128880 178092100 178562000 179352875 182222521 182299000 182905400 184435750 185215784 187226000 188922025 189420500 190221616 191813180 193384750 196478906 196997320 209153045 220161100 220742000 222615125 224273872 226111400 228631750 228967544 231519730 232130600 235155856 237777020 239766475 246246650 250291600 259207000 266437000 270699992 275201375 277094480 279604597 280342340 282639250 286209430 286964600 287161478 290163250 293944820 295097200 297221275 302275240 309415600 312864500 334644872 338374990 346368100 350427925 356184200 358705750 364445042 364598000 365810800 367431025 368871500 370431568 377844050 378841000 383626360 386769500 392957812 393994640 418306090 432960125 439887487 440322200 445230250 452222800 457263500 457935088 463039460 464261200 475554040 479532950 491197265 492493300 518414000 532874000 541399984 543797917 550402750 559209194 560684680 565278500 572418860 573929200 574322956 578799325 580326500 587889640 594442550 604550480 615616625 625729000 669289744 676749980 692736200 700855850 712368400 715523575 717411500 717903695 728890084 734862050 737743000 755688100 757682000 767252720 773539000 785915624 836612180 845937475 865920250 879774974 880644400 890460500 911112605 914527000 926078920 944610125 951108080 959065900 982394530 984986600 1045765225 1087595834 1100805500 1118418388 1121369360 1130557000 1144837720 1148645912 1157598650 1160653000 1175779280 1188885100 1198832375 1231233250 1251458000 1353499960 1385472400 1398022985 1401711700 1431047150 1434823000 1435807390 1457780168 1469724100 1475486000 1486106375 1511376200 1547078000 1571831248 1673224360 1691874950 1731840500 1752139625 1759549948 1780921000 1822225210 1829054000 1837155125 1852157840 1866549607 1889220250 1918131800 1964789060 1969973200 2091530450 2175191668 2199437435 2201611000 2236836776 2261114000 2289675440 2297291824 2315197300 2321306000 2377770200 2397664750 2455986325 2462466500 2706999920 2718989585 2796045970 2803423400 2862094300 2869646000 2871614780 2893996625 2915560336 2939448200 2972212750 3022752400 3346448720 3383749900 3463681000 3504279250 3519099896 3561842000 3577617875 3589518475 3634859761 3644450420 3674310250 3733099214 3778440500 3836263600 3929578120 4183060900 4229687375 4350383336 4398874870 4403222000 4473673552 4555563025 4630394600 4755540400 4795329500 4911972650 4924933000 5228826125 5312487343 5437979170 5592091940 5606846800 5724188600 5743229560 5787993250 5878896400 5944425500 6767499800 6927362000 6990114925 7008558500 7038199792 7155235750 7179036950 7269719522 7288900840 7348620500 7466198428 7556881000 7859156240 8366121800 8459374750 8700766672 8797749740 9111126050 9260789200 9332748035 9590659000 9823945300 9849866000 10457652250 10624974686 10875958340 10997187175 11184183880 11448377200 11486459120 11575986500 11888851000 12279931625 13534999600 13594947925 13980229850 14017117000 14310471500 14358073900 14539439044 14577801680 14697241000 14932396856 15113762000 16732243600 16918749500 17595499480 17947592375 18174298805 18222252100 18665496070 19181318000 19647890600 20915304500 21249949372 21751916680 21994374350 22368367760 22777815125 23151973000 23777702000 24559863250 26562436715 27189895850 27960459700 28034234000 28620943000 28716147800 29078878088 29394482000 29864793712 33837499000 34950574625 35190998960 35895184750 36348597610 36444504200 37330992140 39295781200 41830609000 42499898744 43503833360 43988748700 45555630250 46303946000 46663740175 49119726500 53124873430 54379791700 54985935875 55920919400 57241886000 57432295600 58157756176 67674998000 67974739625 69062335459 69901149250 71790369500 72697195220 72889008400 74661984280 83661218000 84999797488 87977497400 90871494025 91111260500 93327480350 98239453000 106249746860 108759583400 109971871750 111841838800 132812183575 135949479250 138124670918 139802298500 143580739000 145394390440 149323968560 175954994800 181742988050 182222521000 186654960700 196478906000 212499493720 217519166800 219943743500 233318700875 265624367150 271898958500 276249341836 279604597000 287161478000 290788780880 345311677295 363485976100 364445042000 373309921400 424998987440 439887487000 454357470125 466637401750 531248734300 543797917000 552498683672 559209194000 664060917875 690623354590 726971952200 746619842800 879774974000 908714940250 933274803500 1062497468600 1087595834000 1104997367344 1328121835750 1381246709180 1453943904400 1726558386475 1817429880500 1866549607000 2124994937200 2656243671500 2762493418360 3453116772950 3634859761000 3733099214000 5312487343000 5524986836720 6906233545900 7269719522000 8632791932375 10624974686000 13812467091800 17265583864750 27624934183600 34531167729500 69062335459000 138124670918000
- Sum of all divisors σ(n): 395438157004800
- Sum of proper divisors (its aliquot sum) s(n): 257313486086800
- 138124670918000 is an abundant number, because the sum of its proper divisors (257313486086800) is greater than itself. Its abundance is 119188815168800
Bases of 138124670918000
- Binary: 111110110011111101001111111000111011101011100002
- Hexadecimal: 0x7D9FA7F1DD70
- Base-36: 1CYLLISHGW
Squares and roots of 138124670918000
- 138124670918000 squared (1381246709180002) is 19078424716205794962724000000
- 138124670918000 cubed (1381246709180003) is 2635201135559762970790834576860632000000000
-
The
square root of 138124670918000 is 11752645.2732140265 -
The
cube root of 138124670918000 is 51692.0495686605
Scales and comparisons
How big is 138124670918000?- 138,124,670,918,000 seconds is equal to 4,391,937 years, 14 weeks, 6 days, 15 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,124,670,918,000 would take you about ten million, nine hundred seventy-nine thousand, eight hundred forty-three 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 138124670918000 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138124670918000
- 138124670918000 backwards is 000819076421831
- 138124670918000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138124670918000's digits is 50
- More coming soon!
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The information we have on file for 138124670918000 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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