138018007407000
138,018,007,407,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138018007407000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1024 divisors.
138018007407000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138018007407000:
23 × 3 × 53 × 7 × 19 × 137 × 809 × 3121
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 19 × 137 × 809 × 3121)See below for interesting mathematical facts about the number 138018007407000 from the Numbermatics database.
Names of 138018007407000
- Cardinal: 138018007407000 can be written as One hundred thirty-eight trillion, eighteen billion, seven million, four hundred seven thousand.
Scientific notation
- Scientific notation: 1.38018007407 × 1014
Factors of 138018007407000
Divisors of 138018007407000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 25 28 30 35 38 40 42 50 56 57 60 70 75 76 84 95 100 105 114 120 125 133 137 140 150 152 168 175 190 200 210 228 250 266 274 280 285 300 350 375 380 399 411 420 456 475 500 525 532 548 570 600 665 685 700 750 760 798 809 822 840 875 950 959 1000 1050 1064 1096 1140 1330 1370 1400 1425 1500 1596 1618 1644 1750 1900 1918 1995 2055 2100 2280 2375 2427 2603 2625 2660 2740 2850 2877 3000 3121 3192 3236 3288 3325 3425 3500 3800 3836 3990 4045 4110 4200 4750 4795 4854 5206 5250 5320 5480 5663 5700 5754 6242 6472 6650 6850 7000 7125 7672 7809 7980 8090 8220 9363 9500 9590 9708 9975 10275 10412 10500 11326 11400 11508 12135 12484 13015 13300 13700 14250 14385 15371 15605 15618 15960 16180 16440 16625 16989 17125 18221 18726 19000 19180 19416 19950 20225 20550 20824 21000 21847 22652 23016 23975 24270 24968 26030 26600 27400 28315 28500 28770 30742 31210 31236 32360 33250 33978 34250 36442 37452 38360 39045 39900 40450 41100 43694 45304 46113 46815 47950 48540 49875 51375 52060 54663 56630 57000 57540 59299 60675 61484 62420 62472 65075 65541 66500 67956 68500 71925 72884 74904 76855 78025 78090 79800 80900 82200 84945 87388 91105 92226 93630 95900 97080 99750 101125 102750 104120 107597 109235 109326 110833 113260 115080 118598 119875 121350 122968 124840 130150 131082 133000 135912 137000 141575 143850 145768 153710 156050 156180 161800 169890 174776 177897 182210 184452 187260 191800 195225 199500 202250 205500 215194 218470 218652 221666 226520 230565 234075 237196 239750 242700 260300 262164 273315 283150 287700 296495 303375 307420 312100 312360 322791 325375 327705 332499 339780 355794 359625 364420 368904 374520 384275 390125 390450 399000 404500 411000 415093 424725 427577 430388 436940 437304 443332 455525 461130 468150 474392 479500 485400 520600 524328 537985 546175 546630 554165 566300 575400 592990 606750 614840 624200 645582 650750 655410 664998 679560 707875 711588 719250 728840 768550 775831 780250 780900 809000 830186 849450 855154 860776 873880 886664 889485 911050 922260 936300 959000 976125 1075970 1092350 1093260 1108330 1132600 1152825 1170375 1185980 1213500 1245279 1282731 1291164 1301500 1310820 1329996 1366575 1415750 1423176 1438500 1482475 1537100 1551662 1560500 1561800 1613955 1638525 1660372 1662495 1698900 1710308 1778970 1822100 1844520 1872600 1921375 1952250 2075465 2105827 2123625 2137885 2151940 2184700 2186520 2216660 2277625 2305650 2327493 2340750 2371960 2427000 2490558 2524889 2565462 2582328 2603000 2621640 2659992 2689925 2730875 2733150 2770825 2831500 2877000 2964950 2993039 3074200 3103324 3121000 3227910 3277050 3320744 3324990 3397800 3420616 3557940 3644200 3842750 3879155 3904500 4150930 4211654 4247250 4275770 4303880 4369400 4433320 4447425 4555250 4611300 4654986 4681500 4981116 5049778 5130924 5379850 5461750 5466300 5541650 5663000 5764125 5929900 5986078 6206648 6226395 6317481 6413655 6455820 6554100 6649980 6832875 7115880 7412375 7574667 7685500 7758310 7809000 8069775 8123963 8192625 8301860 8312475 8423308 8494500 8551540 8894850 8979117 9110500 9222600 9309972 9363000 9962232 10099556 10261848 10377325 10529135 10689425 10759700 10923500 10932600 11083300 11528250 11637465 11859800 11972156 12452790 12624445 12634962 12827310 12911640 13108200 13299960 13449625 13665750 13854125 14740789 14824750 14965195 15149334 15371000 15516620 16139550 16247926 16385250 16603720 16624950 16846616 16989000 17103080 17674223 17789700 17958234 18221000 18619944 19395775 20199112 20754650 21058270 21378850 21519400 21847000 22166600 22237125 23056500 23274930 23944312 24371889 24905580 25248890 25269924 25654620 26899250 27331500 27708250 29481578 29649500 29930390 30298668 31033240 31131975 31587405 32068275 32279100 32495852 32770500 33249900 35348446 35579400 35916468 37873335 38791550 40348875 40619815 41509300 41562375 42116540 42757700 44222367 44474250 44895585 46113000 46549860 47972891 48743778 49811160 50497780 50539848 51309240 51886625 52645675 53022669 53447125 53798500 54663000 55416500 56867741 58187325 58963156 59299000 59860780 60597336 62263950 63122225 63174810 64136550 64558200 64991704 65541000 66499800 70696892 71832936 73703945 74825975 75746670 77583100 80697750 81239630 83018600 83124750 84233080 85515400 88371115 88444734 88948500 89791170 93099720 95945782 96978875 97487556 100995560 103773250 105291350 106045338 106894250 107597000 110833000 113735482 116374650 117926312 119721560 121859445 124527900 126244450 126349620 128273100 141393784 143918673 147407890 149651950 151493340 155166200 155659875 157937025 160341375 161395500 162479260 166249500 170603223 176742230 176889468 177897000 179582340 189366675 191891564 193957750 194975112 203099075 207546500 210582700 212090676 213788500 221111835 224477925 227470964 232749300 239864455 243718890 249055800 252488900 252699240 256546200 263228375 265113345 284338705 287837346 290936625 294815780 299303900 302986680 311319750 315611125 315874050 320682750 322791000 324958520 332499000 335810237 341206446 345909793 353484460 353778936 359164680 368519725 374129875 378733350 383783128 387915500 406198150 415093000 421165400 424181352 427577000 441855575 442223670 448955850 454941928 465498600 479728910 487437780 504977800 526456750 530226690 568677410 575674692 581873250 589631560 598607800 609297225 622639500 631222250 631748100 641365500 671620474 682412892 691819586 706968920 719593365 737039450 748259750 757466700 775831000 789685125 812396300 853016115 883711150 884447340 897911700 946833375 959457820 974875560 1007430711 1015495375 1037729379 1052913500 1060453380 1105559175 1122389625 1137354820 1151349384 1163746500 1199322275 1218594450 1245279000 1262444500 1263496200 1282731000 1325566725 1343240948 1364825784 1383639172 1421693525 1439186730 1474078900 1496519500 1514933400 1579370250 1624792600 1679051185 1706032230 1729548965 1767422300 1768894680 1795823400 1842598625 1893666750 1918915640 2014861422 2030990750 2075458758 2105827000 2120906760 2209277875 2211118350 2244779250 2274709640 2327493000 2398644550 2421368551 2437188900 2524889000 2651133450 2686481896 2767278344 2843387050 2878373460 2948157800 2993039000 3046486125 3158740500 3358102370 3412064460 3459097930 3534844600 3597966825 3685197250 3787333500 4029722844 4061981500 4150917516 4265080575 4418555750 4422236700 4489558500 4797289100 4842737102 4874377800 5037153555 5188646895 5302266900 5527795875 5686774100 5756746920 5996611375 6092972250 6317481000 6572286067 6627833625 6716204740 6824128920 6918195860 7108467625 7195933650 7264105653 7370394500 7574667000 8059445688 8123963000 8301835032 8395255925 8530161150 8647744825 8837111500 8844473400 8979117000 9594578200 9685474204 10074307110 10377293790 10604533800 11055591750 11373548200 11993222750 12106842755 12185944500 13144572134 13255667250 13432409480 13836391720 14216935250 14391867300 14528211306 14740789000 16790511850 17060322300 17295489650 17674223000 17989834125 19370948408 19716858201 20148614220 20754587580 21325402875 22111183500 23986445500 24213685510 24371889000 25185767775 25943234475 26289144268 26511334500 28433870500 28783734600 29056422612 32861430335 33581023700 34120644600 34590979300 35979668250 36320528265 39433716402 40297228440 41509175160 41976279625 42650805750 43238724125 44222367000 46006002469 47972891000 48427371020 50371535550 51886468950 52578288536 53022669000 56867741000 58112845224 60534213775 65722860670 67162047400 69181958600 71959336500 72641056530 78867432804 83952559250 85301611500 86477448250 92012004938 96854742040 98584291005 100743071100 103772937900 121068427550 125928838875 129716172375 131445721340 138018007407 143918673000 145282113060 157734865608 164307151675 167905118500 170603223000 172954896500 181602641325 184024009876 197168582010 201486142200 207545875800 230030012345 242136855100 251857677750 259432344750 262891442680 276036014814 290564226120 302671068875 328614303350 335810237000 345909793000 363205282650 368048019752 394337164020 460060024690 484273710200 492921455025 503715355500 518864689500 552072029628 605342137750 657228606700 690090037035 726410565300 788674328040 821535758375 908013206625 920120049380 985842910050 1007430711000 1037729379000 1104144059256 1150150061725 1210684275500 1314457213400 1380180074070 1452821130600 1643071516750 1816026413250 1840240098760 1971685820100 2300300123450 2421368551000 2464607275125 2760360148140 3286143033500 3450450185175 3632052826500 3943371640200 4600600246900 4929214550250 5520720296280 5750750308625 6572286067000 6900900370350 7264105653000 9201200493800 9858429100500 11501500617250 13801800740700 17252250925875 19716858201000 23003001234500 27603601481400 34504501851750 46006002469000 69009003703500 138018007407000
- Sum of all divisors σ(n): 522628194816000
- Sum of proper divisors (its aliquot sum) s(n): 384610187409000
- 138018007407000 is an abundant number, because the sum of its proper divisors (384610187409000) is greater than itself. Its abundance is 246592180002000
Bases of 138018007407000
- Binary: 111110110000110110100100100110111011001100110002
- Hexadecimal: 0x7D86D24DD998
- Base-36: 1CX8LI39NC
Squares and roots of 138018007407000
- 138018007407000 squared (1380180074070002) is 19048970368598706863649000000
- 138018007407000 cubed (1380180074070003) is 2629100933428979844117729421048143000000000
-
The
square root of 138018007407000 is 11748106.5456098073 -
The
cube root of 138018007407000 is 51678.7401544583
Scales and comparisons
How big is 138018007407000?- 138,018,007,407,000 seconds is equal to 4,388,545 years, 37 weeks, 2 days, 6 hours, 50 minutes.
-
To count from 1 to 138,018,007,407,000 would take you about ten million, nine hundred seventy-one thousand, three hundred sixty-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 138018007407000 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138018007407000
- 138018007407000 backwards is 000704700810831
- The number of decimal digits it has is: 15
- The sum of 138018007407000's digits is 39
- More coming soon!
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The information we have on file for 138018007407000 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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