138313829450753794800
138,313,829,450,753,794,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138313829450753794800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 600 divisors.
138313829450753794800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 138313829450753794800:
24 × 34 × 52 × 113 × 5641 × 6697088719
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 113 × 5641 × 6697088719)See below for interesting mathematical facts about the number 138313829450753794800 from the Numbermatics database.
Names of 138313829450753794800
- Cardinal: 138313829450753794800 can be written as One hundred thirty-eight quintillion, three hundred thirteen quadrillion, eight hundred twenty-nine trillion, four hundred fifty billion, seven hundred fifty-three million, seven hundred ninety-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383138294507537948 × 1020
Factors of 138313829450753794800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 6697094483
Divisors of 138313829450753794800
- Number of divisors d(n): 600
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 113 120 135 144 150 162 180 200 216 225 226 240 270 300 324 339 360 400 405 432 450 452 540 565 600 648 675 678 720 810 900 904 1017 1080 1130 1200 1296 1350 1356 1620 1695 1800 1808 2025 2034 2160 2260 2700 2712 2825 3051 3240 3390 3600 4050 4068 4520 5085 5400 5424 5641 5650 6102 6480 6780 8100 8136 8475 9040 9153 10170 10800 11282 11300 12204 13560 15255 16200 16272 16923 16950 18306 20340 22564 22600 24408 25425 27120 28205 30510 32400 33846 33900 36612 40680 45128 45200 45765 48816 50769 50850 56410 61020 67692 67800 73224 76275 81360 84615 90256 91530 101538 101700 112820 122040 135384 135600 141025 146448 152307 152550 169230 183060 203076 203400 225640 228825 244080 253845 270768 282050 304614 305100 338460 366120 406152 406800 423075 451280 456921 457650 507690 564100 609228 610200 637433 676920 732240 761535 812304 846150 913842 915300 1015380 1128200 1218456 1220400 1269225 1274866 1353840 1523070 1692300 1827684 1830600 1912299 2030760 2256400 2284605 2436912 2538450 2549732 3046140 3187165 3384600 3655368 3661200 3807675 3824598 4061520 4569210 5076900 5099464 5736897 6092280 6374330 6769200 7310736 7615350 7649196 9138420 9561495 10153800 10198928 11423025 11473794 12184560 12748660 15230700 15298392 15935825 17210691 18276840 19122990 20307600 22846050 22947588 25497320 28684485 30461400 30596784 31871650 34421382 36553680 38245980 45692100 45895176 47807475 50994640 51632073 57368970 60922800 63743300 68842764 76491960 86053455 91384200 91790352 95614950 103264146 114737940 127486600 137685528 143422425 152983920 172106910 182768400 191229900 206528292 229475880 254973200 258160365 275371056 286844850 344213820 382459800 413056584 430267275 458951760 516320730 573689700 688427640 764919600 826113168 860534550 1032641460 1147379400 1290801825 1376855280 1721069100 2065282920 2294758800 2581603650 3442138200 4130565840 5163207300 6697088719 6884276400 10326414600 13394177438 20091266157 20652829200 26788354876 33485443595 40182532314 53576709752 60273798471 66970887190 80365064628 100456330785 107153419504 120547596942 133941774380 160730129256 167427217975 180821395413 200912661570 241095193884 267883548760 301368992355 321460258512 334854435950 361642790826 401825323140 482190387768 502281653925 535767097520 542464186239 602737984710 669708871900 723285581652 756771025247 803650646280 904106977065 964380775536 1004563307850 1084928372478 1205475969420 1339417743800 1446571163304 1506844961775 1513542050494 1607301292560 1808213954130 2009126615700 2169856744956 2270313075741 2410951938840 2678835487600 2712320931195 2893142326608 3013689923550 3027084100988 3616427908260 3783855126235 4018253231400 4339713489912 4520534885325 4540626151482 4821903877680 5424641862390 6027379847100 6054168201976 6810939227223 7232855816520 7567710252470 8036506462800 8679426979824 9041069770650 9081252302964 10849283724780 11351565378705 12054759694200 12108336403952 13561604655975 13621878454446 14465711633040 15135420504940 18082139541300 18162504605928 18919275631175 20432817681669 21698567449560 22703130757410 24109519388400 27123209311950 27243756908892 30270841009880 34054696136115 36164279082600 36325009211856 37778277463879 37838551262350 40865635363338 43397134899120 45406261514820 54246418623900 54487513817784 56757826893525 60541682019760 61298453045007 68109392272230 72328558165200 75556554927758 75677102524700 81731270726676 90812523029640 102164088408345 108492837247800 108975027635568 113334832391637 113515653787050 122596906090014 136218784544460 151113109855516 151354205049400 163462541453352 170273480680575 181625046059280 188891387319395 204328176816690 216985674495600 226669664783274 227031307574100 245193812180028 272437569088920 302226219711032 302708410098800 306492265225035 326925082906704 340004497174911 340546961361150 377782774638790 408656353633380 453339329566548 454062615148200 490387624360056 510820442041725 544875138177840 566674161958185 604452439422064 612984530450070 680008994349822 681093922722300 755565549277580 817312707266760 906678659133096 908125230296400 944456936596975 980775248720112 1020013491524733 1021640884083450 1133348323916370 1225969060900140 1360017988699644 1362187845444600 1511131098555160 1532461326125175 1634625414533520 1700022485874555 1813357318266192 1888913873193950 2040026983049466 2043281768166900 2266696647832740 2451938121800280 2720035977399288 2724375690889200 2833370809790925 3022262197110320 3060040474574199 3064922652250350 3400044971749110 3777827746387900 4080053966098932 4086563536333800 4268945353418327 4533393295665480 4903876243600560 5100067457623665 5440071954798576 5666741619581850 6120080949148398 6129845304500700 6800089943498220 7555655492775800 8160107932197864 8173127072667600 8500112429372775 8537890706836654 9066786591330960 10200134915247330 11333483239163700 12240161898296796 12259690609001400 12806836060254981 13600179886996440 15111310985551600 15300202372870995 16320215864395728 17000224858745550 17075781413673308 20400269830494660 21344726767091635 22666966478327400 24480323796593592 24519381218002800 25500337288118325 25613672120509962 27200359773992880 30600404745741990 34000449717491100 34151562827346616 38420508180764943 40800539660989320 42689453534183270 45333932956654800 48960647593187184 51000674576236650 51227344241019924 61200809491483980 64034180301274905 68000899434982200 68303125654693232 76501011864354975 76841016361529886 81601079321978640 85378907068366540 102001349152473300 102454688482039848 106723633835458175 115261524542294829 122401618982967960 128068360602549810 136001798869964400 153002023728709950 153682032723059772 170757814136733080 192102540903824715 204002698304946600 204909376964079696 213447267670916350 230523049084589658 244803237965935920 256136721205099620 306004047457419900 307364065446119544 320170901506374525 341515628273466160 345784573626884487 384205081807649430 408005396609893200 426894535341832700 461046098169179316 512273442410199240 576307622711474145 612008094914839800 614728130892239088 640341803012749050 691569147253768974 768410163615298860 853789070683665400 922092196338358632 960512704519123575 1024546884820398480 1152615245422948290 1224016189829679600 1280683606025498100 1383138294507537948 1536820327230597720 1707578141367330800 1728922868134422435 1844184392676717264 1921025409038247150 2305230490845896580 2561367212050996200 2766276589015075896 2881538113557370725 3073640654461195440 3457845736268844870 3842050818076494300 4610460981691793160 5122734424101992400 5532553178030151792 5763076227114741450 6915691472537689740 7684101636152988600 8644614340672112175 9220921963383586320 11526152454229482900 13831382945075379480 15368203272305977200 17289228681344224350 23052304908458965800 27662765890150758960 34578457362688448700 46104609816917931600 69156914725376897400 138313829450753794800
- Sum of all divisors σ(n): 500878907433164420160
- Sum of proper divisors (its aliquot sum) s(n): 362565077982410625360
- 138313829450753794800 is an abundant number, because the sum of its proper divisors (362565077982410625360) is greater than itself. Its abundance is 224251248531656830560
Bases of 138313829450753794800
- Binary: 11101111111011111010110111100010001010000000010010001100010111100002
- Hexadecimal: 0x77F7D6F11402462F0
- Base-36: T6UDCJJ2A2N00
Squares and roots of 138313829450753794800
- 138313829450753794800 squared (1383138294507537948002) is 19130715417332207793315561926600507040000
- 138313829450753794800 cubed (1383138294507537948003) is 2646042509503793196518474330453856694353433771884115392000000
-
The
square root of 138313829450753794800 is 11760690007.4253209099 -
The
cube root of 138313829450753794800 is 5171563.5825920027
Scales and comparisons
How big is 138313829450753794800?- 138,313,829,450,753,794,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,313,829,450,753,794,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138313829450753794800 cubic inches would be around 430963.6 feet tall.
Recreational maths with 138313829450753794800
- 138313829450753794800 backwards is 008497357054928313831
- 138313829450753794800 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138313829450753794800's digits is 90
- More coming soon!
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The information we have on file for 138313829450753794800 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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