138133679129600
138,133,679,129,600 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138133679129600 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
138133679129600 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138133679129600:
210 × 52 × 7 × 11 × 19 × 113 × 127 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 19 × 113 × 127 × 257)See below for interesting mathematical facts about the number 138133679129600 from the Numbermatics database.
Names of 138133679129600
- Cardinal: 138133679129600 can be written as One hundred thirty-eight trillion, one hundred thirty-three billion, six hundred seventy-nine million, one hundred twenty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.381336791296 × 1014
Factors of 138133679129600
Divisors of 138133679129600
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 32 35 38 40 44 50 55 56 64 70 76 77 80 88 95 100 110 112 113 127 128 133 140 152 154 160 175 176 190 200 209 220 224 226 254 256 257 266 275 280 304 308 320 350 352 380 385 400 418 440 448 452 475 508 512 514 532 550 560 565 608 616 635 640 665 700 704 760 770 791 800 836 880 889 896 904 950 1016 1024 1028 1045 1064 1100 1120 1130 1216 1232 1243 1270 1280 1285 1330 1397 1400 1408 1463 1520 1540 1582 1600 1672 1760 1778 1792 1799 1808 1900 1925 2032 2056 2090 2128 2147 2200 2240 2260 2413 2432 2464 2486 2540 2560 2570 2660 2794 2800 2816 2825 2827 2926 3040 3080 3164 3175 3200 3325 3344 3520 3556 3584 3598 3616 3800 3850 3955 4064 4112 4180 4256 4294 4400 4445 4480 4520 4826 4864 4883 4928 4972 5080 5120 5140 5225 5320 5588 5600 5632 5650 5654 5852 6080 6160 6215 6328 6350 6400 6425 6650 6688 6985 7040 7112 7168 7196 7232 7315 7600 7700 7910 8128 8224 8360 8512 8588 8701 8800 8890 8960 8995 9040 9652 9728 9766 9779 9856 9944 10160 10280 10450 10640 10735 11176 11200 11264 11300 11308 11704 12065 12160 12320 12430 12656 12700 12800 12850 13300 13376 13970 14080 14135 14224 14351 14392 14464 14630 15029 15200 15400 15820 16256 16448 16720 16891 17024 17176 17402 17600 17780 17920 17990 18080 19304 19456 19532 19558 19712 19775 19789 19888 20320 20560 20900 21280 21470 22225 22352 22400 22600 22616 23408 23617 24130 24320 24415 24640 24860 25312 25400 25600 25700 26543 26600 26752 27940 28160 28270 28448 28702 28784 28928 29041 29260 30058 30400 30800 31075 31640 32512 32639 32896 33440 33782 34048 34181 34352 34804 34925 35200 35560 35840 35980 36160 36575 38608 39064 39116 39424 39550 39578 39776 40640 41120 41800 42560 42940 43505 44450 44704 44800 44975 45200 45232 46816 47234 48260 48640 48830 48895 49280 49720 50624 50800 51400 53086 53200 53504 53675 53713 55880 56320 56540 56896 57404 57568 57856 58082 58520 60116 60325 60800 61600 62150 63280 65024 65278 65792 66880 67564 68096 68362 68704 69608 69850 70400 70675 71120 71755 71960 72320 73150 75145 77216 78128 78232 78848 79100 79156 79552 81280 82240 83600 84455 85120 85880 87010 88900 89408 89600 89950 90400 90464 93632 94468 96520 97280 97660 97790 98560 98945 99440 100457 101248 101600 102800 106172 106400 107008 107350 107426 111760 113080 113792 114808 115136 115712 116164 117040 118085 120232 120650 121600 122075 123200 124300 126560 130048 130556 131584 132715 133760 135128 136192 136724 137408 139216 139700 140800 141350 142240 143510 143920 144640 145205 146300 150290 154432 156256 156464 157861 158200 158312 159104 162560 163195 164480 165319 167200 168910 170240 170905 171760 174020 177800 178816 179200 179900 180800 180928 185801 187264 188936 193040 195320 195580 197120 197890 198880 200914 202496 203200 203287 205600 212344 212800 214016 214700 214852 217525 223520 226160 227584 228473 229616 230272 232328 234080 236170 240464 241300 243200 244150 244475 246400 248600 253120 261112 263168 265430 267520 268565 270256 272669 273448 274816 278432 279400 281600 282700 284480 287020 287840 289280 290410 292600 300580 308864 312512 312928 315722 316400 316624 318208 319451 325120 326390 328960 330638 334400 337820 340480 341810 343520 348040 355600 357632 358775 359029 359800 361600 361856 371602 374528 375725 375991 377872 386080 390640 391160 394240 395780 397760 401828 404992 406400 406574 411200 422275 424688 425600 429400 429704 435050 447040 452320 455168 456946 459232 460544 464656 468160 472340 480928 482600 486400 488300 488950 492800 494725 497200 502285 506240 522224 530860 535040 537130 540512 545338 546896 549632 551779 556864 558800 565400 568960 574040 575680 578560 580820 585200 590425 601160 617728 620141 625024 625856 631444 632800 633248 636416 638902 650240 652780 657920 661276 663575 668800 675640 680960 683620 687040 696080 711200 715264 717550 718058 719600 723200 723712 726025 743204 749056 751450 751982 755744 772160 781280 782320 789305 791560 795520 803656 809984 812800 813148 815975 822400 826595 844550 849376 851200 854525 858800 859408 870100 894080 904640 910336 913892 918464 921088 929005 929312 936320 944680 961856 965200 976600 977900 985600 989450 994400 1004570 1012480 1016435 1044448 1061720 1070080 1074260 1081024 1090676 1093792 1099264 1103558 1105027 1113728 1117600 1130800 1137920 1142365 1148080 1151360 1161640 1170400 1180850 1202320 1235456 1240282 1250048 1251712 1262888 1265600 1266496 1272832 1277804 1305560 1315840 1322552 1327150 1337600 1342825 1351280 1363345 1367240 1374080 1392160 1422400 1430528 1435100 1436116 1439200 1446400 1447424 1452050 1486408 1498112 1502900 1503964 1511488 1544320 1562560 1564640 1578610 1583120 1591040 1597255 1607312 1625600 1626296 1631950 1644800 1653190 1689100 1698752 1702400 1709050 1717600 1718816 1740200 1788160 1795145 1809280 1827784 1836928 1842176 1858010 1858624 1872640 1879955 1889360 1908683 1923712 1930400 1953200 1955800 1971200 1978900 1988800 2009140 2024960 2032870 2088896 2123440 2148520 2162048 2181352 2187584 2198528 2207116 2210054 2227456 2235200 2236157 2261600 2275840 2284730 2296160 2302720 2323280 2340800 2361700 2404640 2470912 2480564 2500096 2503424 2511425 2513203 2525776 2531200 2532992 2555608 2611120 2645104 2654300 2675200 2685650 2702560 2726690 2734480 2748160 2758895 2784320 2844800 2870200 2872232 2878400 2892800 2894848 2904100 2972816 2999359 3005800 3007928 3022976 3088640 3100705 3125120 3129280 3157220 3166240 3182080 3194510 3214624 3251200 3252592 3263900 3289600 3306380 3378200 3397504 3404800 3418100 3435200 3437632 3480400 3576320 3590290 3618560 3655568 3673856 3688207 3716020 3717248 3745280 3759910 3778720 3817366 3847424 3860800 3862453 3906400 3911600 3946525 3957800 3977600 4018280 4049920 4065740 4132975 4177792 4246880 4297040 4324096 4340987 4362704 4375168 4414232 4420108 4454912 4470400 4472314 4523200 4551680 4569460 4592320 4605440 4645025 4646560 4681600 4723400 4809280 4961128 5000192 5006848 5022850 5026406 5051552 5062400 5065984 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1301036800 1343712832 1359583456 1364310200 1375052800 1389115840 1396065280 1401518660 1412554240 1414434560 1419959695 1431140480 1462227200 1475282800 1526946400 1528027424 1535671808 1541670526 1544981200 1553809664 1587560960 1608449920 1622811080 1635589120 1652316736 1679641040 1699479320 1736394800 1745081600 1746317056 1751898325 1765692800 1768043200 1788925600 1838228480 1888361984 1910034280 1919589760 1925073920 1942262080 1954491392 1962126124 1977575936 1984451200 2010562400 2020620800 2028513850 2044486400 2065395920 2099551300 2116083200 2124349150 2182896320 2222585344 2242429856 2271935512 2289824768 2297785600 2360452480 2378252800 2387542850 2399487200 2406342400 2427827600 2443114240 2452657655 2471969920 2571699200 2573519872 2581744900 2596497728 2602073600 2687425664 2719166912 2728620400 2778231680 2803037320 2825108480 2828869120 2839919390 2862280960 2924454400 2950565600 3053892800 3056054848 3071343616 3083341052 3089962400 3107619328 3175121920 3216899840 3245622160 3304633472 3359282080 3398958640 3472789600 3490163200 3492634112 3503796650 3531385600 3536086400 3577851200 3776723968 3820068560 3839179520 3854176315 3884524160 3924252248 3955151872 3968902400 4021124800 4041241600 4057027700 4088972800 4130791840 4199102600 4232166400 4248698300 4365792640 4445170688 4484859712 4543871024 4595571200 4720904960 4756505600 4775085700 4798974400 4812684800 4855655200 4886228480 4905315310 4943939840 5163489800 5192995456 5204147200 5374851328 5395846841 5438333824 5457240800 5556463360 5606074640 5657738240 5679838780 5724561920 5848908800 5901131200 6107785600 6112109696 6166682104 6179924800 6215238656 6433799680 6491244320 6609266944 6718564160 6797917280 6945579200 6980326400 6985268224 7007593300 7062771200 7072172800 7099798475 7155702400 7640137120 7678359040 7708352630 7769048320 7848504496 7937804800 8042249600 8114055400 8177945600 8261583680 8398205200 8497396600 8731585280 8969719424 9087742048 9191142400 9441809920 9550171400 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32168998400 32456221600 33046334720 33592820800 33989586400 34926341120 35878877696 36350968192 38200685600 38391795200 38541763150 38845241600 39242522480 41307918400 41543963648 43166774728 43506670592 43657926400 44848597120 45438710240 47209049600 48862284800 48896877568 49053153100 49333456832 49439398400 51929954560 53748513280 53958468410 54383338240 55564633600 56060746400 56798387800 57245619200 61121096960 61666821040 62788035968 64337996800 64912443200 66092669440 67185641600 67979172800 71757755392 72701936384 76401371200 76783590400 77083526300 77690483200 78485044960 82615836800 86333549456 87315852800 89697194240 90877420480 94418099200 98106306200 98666913664 98878796800 103859909120 107497026560 107916936820 108766676480 111129267200 112121492800 113596775600 122242193920 123333642080 125576071936 129824886400 132185338880 134371283200 134896171025 135958345600 145403872768 152802742400 154167052600 155380966400 156970089920 165231673600 172667098912 174631705600 179394388480 181754840960 196212612400 197333827328 207719818240 215833873640 217533352960 224242985600 227193551200 244484387840 246667284160 251152143872 259649772800 268742566400 269792342050 271916691200 290807745536 305605484800 308334105200 313940179840 330463347200 345334197824 358788776960 363509681920 392425224800 394667654656 431667747280 448485971200 454387102400 493334568320 502304287744 519299545600 537485132800 539584684100 543833382400 611210969600 616668210400 627880359680 660926694400 690668395648 727019363840 784850449600 789335309312 863335494560 896971942400 908774204800 986669136640 1038599091200 1079169368200 1087666764800 1222421939200 1233336420800 1255760719360 1381336791296 1454038727680 1569700899200 1726670989120 1793943884800 1817548409600 1973338273280 2158338736400 2466672841600 2511521438720 2762673582592 3139401798400 3453341978240 3635096819200 3946676546560 4316677472800 4933345683200 5525347165184 6278803596800 6906683956480 7270193638400 8633354945600 9866691366400 12557607193600 13813367912960 17266709891200 19733382732800 27626735825920 34533419782400 69066839564800 138133679129600
- Sum of all divisors σ(n): 458685796515840
- Sum of proper divisors (its aliquot sum) s(n): 320552117386240
- 138133679129600 is an abundant number, because the sum of its proper divisors (320552117386240) is greater than itself. Its abundance is 182418438256640
Bases of 138133679129600
- Binary: 111110110100001110000001110000001000100000000002
- Hexadecimal: 0x7DA1C0E04400
- Base-36: 1CYPQI1Q0W
Squares and roots of 138133679129600
- 138133679129600 squared (1381336791296002) is 19080913309879290613596160000
- 138133679129600 cubed (1381336791296003) is 2635716756646579823326561064594702336000000
-
The
square root of 138133679129600 is 11753028.5088397535 -
The
cube root of 138133679129600 is 51693.1732945305
Scales and comparisons
How big is 138133679129600?- 138,133,679,129,600 seconds is equal to 4,392,223 years, 37 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,133,679,129,600 would take you about ten million, nine hundred eighty thousand, five hundred fifty-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 138133679129600 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138133679129600
- 138133679129600 backwards is 006921976331831
- The number of decimal digits it has is: 15
- The sum of 138133679129600's digits is 59
- More coming soon!
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Cite this page
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"Number 138133679129600 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138133679129600 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138133679129600/
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Numbermatics. 2024. "Number 138133679129600 - Facts about the integer". https://numbermatics.com/n/138133679129600/
The information we have on file for 138133679129600 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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