138150935769600
138,150,935,769,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138150935769600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138150935769600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138150935769600:
29 × 33 × 52 × 132 × 792 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 79 × 79 × 379)See below for interesting mathematical facts about the number 138150935769600 from the Numbermatics database.
Names of 138150935769600
- Cardinal: 138150935769600 can be written as One hundred thirty-eight trillion, one hundred fifty billion, nine hundred thirty-five million, seven hundred sixty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.381509357696 × 1014
Factors of 138150935769600
Divisors of 138150935769600
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 79 80 90 96 100 104 108 117 120 128 130 135 144 150 156 158 160 169 180 192 195 200 208 216 225 234 237 240 256 260 270 288 300 312 316 320 325 338 351 360 379 384 390 395 400 416 432 450 468 474 480 507 512 520 540 576 585 600 624 632 640 650 675 676 702 711 720 758 768 780 790 800 832 845 864 900 936 948 960 975 1014 1027 1040 1080 1137 1152 1170 1185 1200 1248 1264 1280 1300 1350 1352 1404 1422 1440 1516 1521 1536 1560 1580 1600 1664 1690 1728 1755 1800 1872 1895 1896 1920 1950 1975 2028 2054 2080 2133 2160 2274 2304 2340 2370 2400 2496 2528 2535 2560 2600 2700 2704 2808 2844 2880 2925 3032 3042 3081 3120 3160 3200 3328 3380 3411 3456 3510 3555 3600 3744 3790 3792 3840 3900 3950 4056 4108 4160 4225 4266 4320 4548 4563 4608 4680 4740 4800 4927 4992 5056 5070 5135 5200 5400 5408 5616 5685 5688 5760 5850 5925 6064 6084 6162 6240 6241 6320 6400 6656 6760 6822 6912 7020 7110 7200 7488 7580 7584 7605 7680 7800 7900 8112 8216 8320 8450 8532 8640 8775 9096 9126 9243 9360 9475 9480 9600 9854 9984 10112 10140 10233 10270 10400 10665 10800 10816 11232 11370 11376 11520 11700 11850 12128 12168 12324 12480 12482 12640 12675 12800 13351 13520 13644 13824 14040 14220 14400 14781 14976 15160 15168 15210 15405 15600 15800 16224 16432 16640 16900 17055 17064 17280 17550 17775 18192 18252 18486 18720 18723 18950 18960 19200 19708 19968 20224 20280 20466 20540 20800 21330 21600 21632 22464 22740 22752 22815 23040 23400 23700 24256 24336 24635 24648 24960 24964 25280 25350 25675 26702 27040 27288 27729 28080 28425 28440 28800 29562 29941 29952 30320 30336 30420 30810 31200 31205 31600 32448 32864 33280 33800 34110 34128 34560 35100 35550 36384 36504 36972 37440 37446 37900 37920 38025 38400 39416 40053 40448 40560 40932 41080 41600 42660 43200 43264 44343 44928 45480 45504 45630 46215 46800 47400 48512 48672 49270 49296 49920 49928 50560 50700 51165 51350 53325 53404 54080 54576 55458 56160 56169 56850 56880 57600 59124 59882 59904 60640 60672 60840 61620 62400 62410 63200 64051 64896 65728 66755 67600 68220 68256 69120 70200 71100 72768 73008 73905 73944 74880 74892 75800 75840 76050 77025 78832 80106 81120 81133 81864 82160 83200 85275 85320 86400 86528 88686 89823 89856 90960 91008 91260 92430 93600 93615 94800 97024 97344 98540 98592 99840 99856 101120 101400 102330 102700 106650 106808 108160 109152 110916 112320 112338 113700 113760 114075 115200 118248 119764 120159 121280 121344 121680 123175 123240 124800 124820 126400 128102 129792 131456 133029 133510 135200 136440 136512 138645 140400 142200 145536 146016 147810 147888 149705 149760 149784 151600 151680 152100 154050 156025 157664 160212 162240 162266 163728 164320 166400 168507 170550 170640 172800 177372 179646 179712 181920 182016 182520 184860 187200 187230 189600 192153 194048 194688 197080 197184 199712 200265 202240 202800 204660 205400 213300 213616 216320 218304 221715 221832 224640 224676 227400 227520 228150 231075 236496 239528 240318 242560 243360 243399 246350 246480 249600 249640 252800 255825 256204 259584 262912 266058 267020 269469 270400 272880 273024 277290 280800 280845 284400 291072 292032 295620 295776 299410 299520 299568 303200 303360 304200 308100 312050 315328 320255 320424 324480 324532 327456 328640 333775 337014 341100 341280 345600 354744 359292 360477 363840 364032 365040 369525 369720 374400 374460 379200 384306 389233 389376 394160 394368 399424 400530 405600 405665 409320 410800 426600 427232 432640 436608 443430 443664 449115 449280 449352 454800 455040 456300 462150 468075 472992 479056 480636 485120 486720 486798 492700 492960 499200 499280 505600 511650 512408 525824 532116 534040 538938 540800 545760 546048 554580 561600 561690 568800 576459 582144 584064 591240 591552 598820 599136 600795 606400 606720 608400 616200 624100 630656 640510 640848 648960 649064 654912 657280 665145 667550 674028 682200 682560 693225 709488 718584 720954 727680 730080 730197 739050 739440 748525 748800 748920 758400 768612 778466 778752 788320 788736 798848 801060 808407 811200 811330 818640 821600 842535 853200 854464 873216 886860 887328 898230 898560 898704 909600 910080 912600 924300 936150 945984 958112 960765 961272 970240 973440 973596 985400 985920 998560 1001325 1011200 1023300 1024816 1054729 1064232 1068080 1077876 1081600 1091520 1092096 1108575 1109160 1123200 1123380 1137600 1152918 1167699 1168128 1182480 1183104 1197640 1198272 1201590 1212800 1216800 1216995 1232400 1248200 1261312 1281020 1281696 1297920 1298128 1309824 1314560 1330290 1335100 1347345 1348056 1364400 1365120 1386450 1404225 1418976 1437168 1441908 1455360 1460160 1460394 1478100 1478880 1497050 1497600 1497840 1516800 1537224 1556932 1576640 1577472 1597696 1601275 1602120 1616814 1622400 1622660 1637280 1643200 1685070 1706400 1708928 1729377 1746432 1773720 1774656 1796460 1797408 1802385 1819200 1820160 1825200 1848600 1872300 1891968 1916224 1921530 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1419203400 1423884150 1457288352 1475735040 1475971536 1494654720 1513816960 1518008700 1518809760 1537470350 1538035200 1557753600 1596603825 1598969164 1619209280 1620063744 1660467978 1681486560 1687566400 1702771200 1703044080 1724601600 1752472800 1793585664 1816580352 1821610440 1822571712 1844668800 1844964420 1868318400 1869304320 1892271200 1898512200 1943051136 1967962048 1998711455 2024011600 2025079680 2043652896 2069521920 2101858200 2128805100 2156889600 2185932528 2213602560 2213957304 2241982080 2270725440 2277013050 2278214640 2306205525 2307052800 2336630400 2398453746 2428813920 2430095616 2459558400 2459952560 2491091200 2531349600 2554566120 2586902400 2590734848 2690378496 2700106240 2724870528 2732415660 2767003200 2767446630 2802477600 2803956480 2838406800 2847768300 2914576704 2951943072 2989309440 3027633920 3036017400 3037619520 3074940700 3115507200 3193207650 3197938328 3238418560 3320935956 3362973120 3375132800 3406088160 3415519575 3449203200 3504945600 3597680619 3633160704 3643220880 3645143424 3689337600 3689928840 3736636800 3784542400 3797024400 3886102272 3935924096 3997422910 4048023200 4050159360 4087305792 4151169945 4203716400 4257610200 4371865056 4427205120 4427914608 4483964160 4541450880 4554026100 4556429280 4612411050 4614105600 4673260800 4796907492 4857627840 4860191232 4919905120 4982182400 5062699200 5109132240 5173804800 5380756992 5449741056 5464831320 5534006400 5534893260 5604955200 5607912960 5676813600 5695536600 5829153408 5903886144 5996134365 6055267840 6072034800 6075239040 6149881400 6386415300 6395876656 6476837120 6641871912 6725946240 6750265600 6812176320 6831039150 6918616575 7009891200 7195361238 7286441760 7290286848 7378675200 7379857680 7473273600 7569084800 7594048800 7772204544 7871848192 7994845820 8096046400 8100318720 8174611584 8302339890 8407432800 8515220400 8743730112 8855829216 8967928320 9082901760 9108052200 9112858560 9224822100 9346521600 9593814984 9715255680 9839810240 9993557275 10125398400 10218264480 10347609600 10793041857 10899482112 10929662640 11068012800 11069786520 11209910400 11353627200 11391073200 11658306816 11807772288 11992268730 12144069600 12150478080 12299762800 12772830600 12791753312 12953674240 13283743824 13451892480 13500531200 13624352640 13662078300 13837233150 14019782400 14390722476 14572883520 14580573696 14759715360 14946547200 15138169600 15188097600 15743696384 15989691640 16192092800 16349223168 16604679780 16814865600 17030440800 17487460224 17711658432 17988403095 18165803520 18216104400 18225717120 18449644200 19187629968 19430511360 19679620480 19987114550 20250796800 20436528960 20755849725 21586083714 21859325280 22136025600 22139573040 22419820800 22707254400 22782146400 23316613632 23615544576 23984537460 24288139200 24300956160 24599525600 25545661200 25583506624 26567487648 26903784960 27248705280 27324156600 27674466300 28039564800 28781444952 29145767040 29519430720 29980671825 30276339200 30376195200 31979383280 32384185600 32698446336 33209359560 33629731200 34060881600 34974920448 35423316864 35976806190 36432208800 36451434240 36899288400 38375259936 38861022720 39359240960 39974229100 40501593600 40873057920 41511699450 43172167428 43718650560 44279146080 44839641600 45414508800 45564292800 47231089152 47969074920 48576278400 49199051200 51091322400 51167013248 53134975296 53965209285 54497410560 54648313200 55348932600 57562889904 58291534080 59038861440 59961343650 60752390400 63958766560 64768371200 66418719120 67259462400 68121763200 69949840896 70846633728 71953612380 72864417600 72902868480 73798576800 76750519872 78718481920 79948458200 81746115840 83023398900 86344334856 87437301120 88558292160 89942015475 90829017600 91128585600 95938149840 97152556800 98398102400 102182644800 102334026496 106269950592 107930418570 109296626400 110697865200 115125779808 116583068160 118077722880 119922687300 121504780800 127917533120 132837438240 134518924800 136243526400 141693267456 143907224760 145728835200 147597153600 153501039744 159896916400 163492231680 166046797800 172688669712 174874602240 177116584320 179884030950 182257171200 191876299680 194305113600 196796204800 204365289600 204668052992 212539901184 215860837140 218593252800 221395730400 230251559616 236155445760 239845374600 255835066240 265674876480 269826046425 272487052800 287814449520 291457670400 295194307200 307002079488 319793832800 332093595600 345377339424 349749204480 354233168640 359768061900 364514342400 383752599360 393592409600 408730579200 425079802368 431721674280 437186505600 442791460800 460503119232 479690749200 511670132480 531349752960 539652092850 575628899040 582915340800 590388614400 614004158976 639587665600 664187191200 690754678848 708466337280 719536123800 767505198720 817461158400 863443348560 874373011200 885582921600 921006238464 959381498400 1023340264960 1062699505920 1079304185700 1151257798080 1180777228800 1279175331200 1328374382400 1381509357696 1439072247600 1535010397440 1726886697120 1748746022400 1771165843200 1842012476928 1918762996800 2125399011840 2158608371400 2302515596160 2558350662400 2656748764800 2763018715392 2878144495200 3070020794880 3453773394240 3542331686400 3837525993600 4317216742800 4605031192320 5116701324800 5313497529600 5526037430784 5756288990400 6907546788480 7675051987200 8634433485600 9210062384640 10626995059200 11512577980800 13815093576960 15350103974400 17268866971200 23025155961600 27630187153920 34537733942400 46050311923200 69075467884800 138150935769600
- Sum of all divisors σ(n): 557593619536800
- Sum of proper divisors (its aliquot sum) s(n): 419442683767200
- 138150935769600 is an abundant number, because the sum of its proper divisors (419442683767200) is greater than itself. Its abundance is 281291747997600
Bases of 138150935769600
- Binary: 111110110100101110001010111001110110010000000002
- Hexadecimal: 0x7DA5C573B200
- Base-36: 1CYXNW7EO0
Squares and roots of 138150935769600
- 138150935769600 squared (1381509357696002) is 19085681054016144744284160000
- 138150935769600 cubed (1381509357696003) is 2636704697412456040689017604890689536000000
-
The
square root of 138150935769600 is 11753762.6217990297 -
The
cube root of 138150935769600 is 51695.3258309795
Scales and comparisons
How big is 138150935769600?- 138,150,935,769,600 seconds is equal to 4,392,772 years, 22 weeks, 2 days.
-
To count from 1 to 138,150,935,769,600 would take you about ten million, nine hundred eighty-one thousand, nine hundred thirty-one 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 138150935769600 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138150935769600
- 138150935769600 backwards is 006967539051831
- The number of decimal digits it has is: 15
- The sum of 138150935769600's digits is 63
- More coming soon!
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"Number 138150935769600 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138150935769600 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138150935769600/
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Numbermatics. 2024. "Number 138150935769600 - Facts about the integer". https://numbermatics.com/n/138150935769600/
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