138072226072950
138,072,226,072,950 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138072226072950 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138072226072950 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138072226072950:
2 × 33 × 52 × 132 × 17 × 61 × 457 × 1277
(2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 17 × 61 × 457 × 1277)See below for interesting mathematical facts about the number 138072226072950 from the Numbermatics database.
Names of 138072226072950
- Cardinal: 138072226072950 can be written as One hundred thirty-eight trillion, seventy-two billion, two hundred twenty-six million, seventy-two thousand, nine hundred fifty.
Scientific notation
- Scientific notation: 1.3807222607295 × 1014
Factors of 138072226072950
Divisors of 138072226072950
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 5 6 9 10 13 15 17 18 25 26 27 30 34 39 45 50 51 54 61 65 75 78 85 90 102 117 122 130 135 150 153 169 170 183 195 221 225 234 255 270 305 306 325 338 351 366 390 425 442 450 457 459 507 510 549 585 610 650 663 675 702 765 793 845 850 914 915 918 975 1014 1037 1098 1105 1170 1275 1277 1326 1350 1371 1521 1525 1530 1586 1647 1690 1755 1830 1950 1989 2074 2210 2285 2295 2379 2535 2550 2554 2742 2745 2873 2925 3042 3050 3111 3294 3315 3510 3825 3831 3965 3978 4113 4225 4563 4570 4575 4590 4758 5070 5185 5490 5525 5746 5850 5941 5967 6222 6385 6630 6855 7137 7605 7650 7662 7769 7930 8226 8235 8450 8619 8775 9126 9150 9333 9945 10309 10370 11050 11425 11475 11493 11882 11895 11934 12339 12675 12770 13481 13710 13725 14274 14365 15210 15538 15555 16470 16575 16601 17238 17550 17823 18666 19155 19825 19890 20565 20618 21411 21709 22815 22850 22950 22986 23307 23790 24678 25350 25857 25925 26962 27450 27877 27999 28730 29705 29835 30927 31110 31925 33150 33202 34275 34479 35646 35685 38025 38310 38845 39650 40443 41130 41175 42822 43095 43418 45630 46614 46665 49725 49803 51545 51714 51850 53469 55754 55998 57465 59410 59475 59670 61695 61854 63850 65127 67405 68550 68958 69921 71370 71825 76050 77233 77571 77690 77775 77897 80886 82350 83005 83631 86190 89115 92781 93330 95775 99450 99606 100997 102825 103090 106938 107055 108545 114075 114930 116535 118950 121329 123390 129285 130254 134810 139385 139842 139995 143650 148525 149175 149409 154466 154635 155142 155550 155794 160407 166010 167262 172395 175253 178230 178425 185562 191550 194225 195381 201994 202215 205650 209763 214110 215475 215813 217090 228150 231699 233070 233325 233691 242658 249015 250893 257725 258570 267345 278343 278770 279990 282217 287325 297050 298350 298818 302991 308475 309270 320814 325635 337025 344790 349605 350506 356850 362401 363987 386165 387855 388450 389485 390762 404430 415025 418155 419526 430950 431626 445575 448227 463398 463905 466650 467382 473909 498030 501786 504985 515450 525759 534690 535275 542725 556686 564434 574650 582675 583589 586143 605982 606645 616950 646425 647439 651270 674050 695097 696925 699210 699975 701073 724802 727974 747045 752679 772330 773175 775710 778970 802035 830050 836310 846651 861975 876265 891150 896454 908973 927810 947818 976905 1009970 1011075 1012661 1048815 1051518 1070550 1079065 1085450 1087203 1158495 1165350 1167178 1168455 1172286 1213290 1245075 1254465 1292850 1294878 1312961 1324249 1336725 1390194 1391715 1393850 1399950 1402146 1411085 1421727 1494090 1505358 1514955 1546350 1577277 1604070 1628175 1693302 1723950 1748025 1750767 1752530 1812005 1817946 1819935 1930825 1939275 1942317 1947425 1953810 2022150 2025322 2085291 2090775 2097630 2103219 2158130 2174406 2241135 2316990 2319525 2336910 2369545 2490150 2508930 2524925 2539953 2625922 2628795 2648498 2673450 2726919 2783430 2822170 2843454 2917945 2930715 3029910 3033225 3037983 3154554 3237195 3256350 3261609 3475485 3496050 3501534 3505365 3624010 3639870 3668821 3735225 3763395 3861650 3878550 3884634 3894850 3938883 3972747 4010175 4170582 4181550 4206438 4233255 4265181 4381325 4482270 4544865 4639050 4711213 4731831 4739090 4884525 5049850 5063305 5079906 5244075 5252301 5257590 5395325 5436015 5453838 5792475 5826951 5835890 5842275 5861430 6066450 6075966 6160817 6272325 6474390 6523218 6564805 6621245 6950970 6958575 7010730 7055425 7108635 7337642 7470450 7526790 7574775 7586657 7619859 7877766 7886385 7945494 8020350 8466510 8530362 8753835 8762650 9060025 9089730 9099675 9113949 9422426 9463662 9711585 9769050 9784827 9921013 10126610 10426455 10488150 10504602 10516095 10790650 10872030 11006463 11205675 11584950 11653902 11684550 11816649 11847725 11918241 12321634 12544650 12699765 12795543 13129610 13143975 13164593 13242490 13634595 13917150 14110850 14133639 14217270 14589725 14653575 15149550 15173314 15189915 15239718 15756903 15772770 16185975 16308045 17215237 17377425 17507670 17526825 18120050 18199350 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14793981150 15089860773 15129544825 15734726618 16019518050 16339908411 16766511970 16784856075 17411377815 17772200550 18020389725 18048657003 18155453790 19345975350 20141827290 20825373465 21624467670 22190971725 23139303850 23240569950 23602089927 24029277075 24990448158 25149767955 26629166070 27233180685 29018963025 30081095005 30179721546 30212740935 30259089650 32679816822 33569712150 34708955775 34822755630 36040779450 36097314006 39336816545 41650746930 41916279925 44381943450 45269582319 45388634475 47204179854 48058554150 50299535910 50354568225 54061169175 54145971009 54466361370 58037926050 60162190010 60425481870 62476120395 66572915175 69417911550 70806269781 75449303865 78673633090 81699542055 83832559850 87056889075 90243285015 90539164638 90777268950 100709136450 102275723017 104126867325 108122338350 108291942018 118010449635 124952240790 125748839775 133145830350 136165903425 141612539562 150405475025 150898607730 151063704675 162437913027 163399084110 174113778150 180486570030 196684082725 204551446034 208253734650 212418809343 226347911595 236020899270 251497679550 270729855045 272331806850 300810950050 302127409350 306827169051 312380601975 324875826054 354031348905 377246519325 393368165450 408497710275 424837618686 451216425075 452695823190 511378615085 541459710090 590052248175 613654338102 624761203950 708062697810 754493038650 812189565135 816995420550 902432850150 920481507153 1022757230170 1062094046715 1131739557975 1180104496350 1353649275225 1534135845255 1624379130270 1770156744525 1840963014306 2124188093430 2263479115950 2556893075425 2707298550450 2761444521459 3068271690510 3540313489050 4060947825675 4602407535765 5113786150850 5310470233575 5522889042918 7670679226275 8121895651350 9204815071530 10620940467150 13807222607295 15341358452550 23012037678825 27614445214590 46024075357650 69036113036475 138072226072950
- Sum of all divisors σ(n): 444687125523840
- Sum of proper divisors (its aliquot sum) s(n): 306614899450890
- 138072226072950 is an abundant number, because the sum of its proper divisors (306614899450890) is greater than itself. Its abundance is 168542673377940
Bases of 138072226072950
- Binary: 111110110010011011100011111110100001001011101102
- Hexadecimal: 0x7D9371FD0976
- Base-36: 1CXXI6HG1I
Squares and roots of 138072226072950
- 138072226072950 squared (1380722260729502) is 19063939612739813778721702500
- 138072226072950 cubed (1380722260729503) is 2632200580051278442002946313842513197375000
-
The
square root of 138072226072950 is 11750413.8681558787 -
The
cube root of 138072226072950 is 51685.5063863381
Scales and comparisons
How big is 138072226072950?- 138,072,226,072,950 seconds is equal to 4,390,269 years, 36 weeks, 4 days, 3 hours, 22 minutes, 30 seconds.
-
To count from 1 to 138,072,226,072,950 would take you about ten million, nine hundred seventy-five thousand, six hundred seventy-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 138072226072950 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138072226072950
- 138072226072950 backwards is 059270622270831
- 138072226072950 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138072226072950's digits is 54
- More coming soon!
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The information we have on file for 138072226072950 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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