138008448000
138,008,448,000 is an even composite number composed of five prime numbers multiplied together.
138008448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 138008448000:
210 × 37 × 53 × 17 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 29)See below for interesting mathematical facts about the number 138008448000 from the Numbermatics database.
Names of 138008448000
- Cardinal: 138008448000 can be written as One hundred thirty-eight billion, eight million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38008448 × 1011
Factors of 138008448000
Divisors of 138008448000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 29 30 32 34 36 40 45 48 50 51 54 58 60 64 68 72 75 80 81 85 87 90 96 100 102 108 116 120 125 128 135 136 144 145 150 153 160 162 170 174 180 192 200 204 216 225 232 240 243 250 255 256 261 270 272 288 290 300 306 320 324 340 348 360 375 384 400 405 408 425 432 435 450 459 464 480 486 493 500 510 512 522 540 544 576 580 600 612 640 648 675 680 696 720 725 729 750 765 768 783 800 810 816 850 864 870 900 918 928 960 972 986 1000 1020 1024 1044 1080 1088 1125 1152 1160 1200 1215 1224 1275 1280 1296 1305 1350 1360 1377 1392 1440 1450 1458 1479 1500 1530 1536 1566 1600 1620 1632 1700 1728 1740 1800 1836 1856 1920 1944 1972 2000 2025 2040 2088 2125 2160 2175 2176 2187 2250 2295 2304 2320 2349 2400 2430 2448 2465 2550 2560 2592 2610 2700 2720 2754 2784 2880 2900 2916 2958 3000 3060 3072 3132 3200 3240 3264 3375 3400 3456 3480 3600 3625 3645 3672 3712 3825 3840 3888 3915 3944 4000 4050 4080 4131 4176 4250 4320 4350 4352 4374 4437 4500 4590 4608 4640 4698 4800 4860 4896 4930 5100 5120 5184 5220 5400 5440 5508 5568 5760 5800 5832 5916 6000 6075 6120 6264 6375 6400 6480 6525 6528 6750 6800 6885 6912 6960 7047 7200 7250 7290 7344 7395 7424 7650 7680 7776 7830 7888 8000 8100 8160 8262 8352 8500 8640 8700 8704 8748 8874 9000 9180 9216 9280 9396 9600 9720 9792 9860 10125 10200 10368 10440 10800 10875 10880 10935 11016 11136 11475 11520 11600 11664 11745 11832 12000 12150 12240 12325 12393 12528 12750 12800 12960 13050 13056 13311 13500 13600 13770 13824 13920 14094 14400 14500 14580 14688 14790 14848 15300 15360 15552 15660 15776 16000 16200 16320 16524 16704 17000 17280 17400 17408 17496 17748 18000 18225 18360 18560 18792 19125 19200 19440 19575 19584 19720 20250 20400 20655 20736 20880 21141 21600 21750 21760 21870 22032 22185 22272 22950 23040 23200 23328 23490 23664 24000 24300 24480 24650 24786 25056 25500 25600 25920 26100 26112 26622 27000 27200 27540 27648 27840 28188 28800 29000 29160 29376 29580 29696 30375 30600 31104 31320 31552 32000 32400 32625 32640 33048 33408 34000 34425 34560 34800 34992 35235 35496 36000 36450 36720 36975 37120 37179 37584 38250 38400 38880 39150 39168 39440 39933 40500 40800 41310 41472 41760 42282 43200 43500 43520 43740 44064 44370 44544 45900 46080 46400 46656 46980 47328 48000 48600 48960 49300 49572 50112 51000 51840 52200 52224 53244 54000 54400 54675 55080 55680 56376 57375 57600 58000 58320 58725 58752 59160 60750 61200 61625 61965 62208 62640 63104 63423 64000 64800 65250 65280 66096 66555 66816 68000 68850 69120 69600 69984 70470 70992 72000 72900 73440 73950 74240 74358 75168 76500 76800 77760 78300 78336 78880 79866 81000 81600 82620 82944 83520 84564 86400 87000 87040 87480 88128 88740 89088 91125 91800 92800 93312 93960 94656 96000 97200 97875 97920 98600 99144 100224 102000 103275 103680 104400 105705 106488 108000 108800 109350 110160 110925 111360 112752 114750 115200 116000 116640 117450 117504 118320 119799 121500 122400 123250 123930 124416 125280 126208 126846 128000 129600 130500 130560 132192 133110 133632 136000 137700 138240 139200 139968 140940 141984 144000 145800 146880 147900 148480 148716 150336 153000 155520 156600 156672 157760 159732 162000 163200 165240 167040 169128 172125 172800 174000 174960 176175 176256 177480 182250 183600 184875 185600 185895 186624 187920 189312 192000 194400 195750 195840 197200 198288 199665 200448 204000 206550 207360 208800 211410 212976 216000 217600 218700 220320 221850 222720 225504 229500 230400 232000 233280 234900 235008 236640 239598 243000 244800 246500 247860 248832 250560 252416 253692 259200 261000 261120 264384 266220 267264 272000 273375 275400 278400 279936 281880 283968 288000 291600 293625 293760 295800 297432 300672 306000 309825 311040 313200 315520 317115 319464 324000 326400 330480 332775 334080 338256 344250 345600 348000 349920 352350 352512 354960 359397 364500 367200 369750 371200 371790 373248 375840 378624 384000 388800 391500 391680 394400 396576 399330 400896 408000 413100 414720 417600 422820 425952 432000 435200 437400 440640 443700 445440 451008 459000 464000 466560 469800 470016 473280 479196 486000 489600 493000 495720 501120 504832 507384 516375 518400 522000 528525 528768 532440 544000 546750 550800 554625 556800 559872 563760 567936 576000 583200 587250 587520 591600 594864 598995 601344 612000 619650 622080 626400 631040 634230 638928 648000 652800 660960 665550 668160 676512 688500 691200 696000 699840 704700 705024 709920 718794 729000 734400 739500 742400 743580 746496 751680 757248 777600 783000 783360 788800 793152 798660 801792 816000 826200 835200 845640 851904 864000 874800 880875 881280 887400 902016 918000 928000 929475 933120 939600 946560 958392 972000 979200 986000 991440 998325 1002240 1014768 1032750 1036800 1044000 1057050 1057536 1064880 1078191 1088000 1093500 1101600 1109250 1113600 1119744 1127520 1135872 1152000 1166400 1174500 1175040 1183200 1189728 1197990 1202688 1224000 1239300 1244160 1252800 1262080 1268460 1277856 1296000 1305600 1321920 1331100 1336320 1353024 1377000 1392000 1399680 1409400 1410048 1419840 1437588 1458000 1468800 1479000 1487160 1503360 1514496 1549125 1555200 1566000 1577600 1585575 1586304 1597320 1632000 1652400 1663875 1670400 1691280 1703808 1728000 1749600 1761750 1762560 1774800 1796985 1804032 1836000 1856000 1858950 1866240 1879200 1893120 1916784 1944000 1958400 1972000 1982880 1996650 2004480 2029536 2065500 2073600 2088000 2114100 2115072 2129760 2156382 2176000 2187000 2203200 2218500 2227200 2239488 2255040 2271744 2332800 2349000 2350080 2366400 2379456 2395980 2405376 2448000 2478600 2505600 2524160 2536920 2555712 2592000 2642625 2643840 2662200 2706048 2754000 2784000 2799360 2818800 2839680 2875176 2916000 2937600 2958000 2974320 2994975 3006720 3098250 3110400 3132000 3155200 3171150 3172608 3194640 3264000 3304800 3327750 3340800 3382560 3407616 3456000 3499200 3523500 3525120 3549600 3593970 3608064 3672000 3712000 3717900 3732480 3758400 3786240 3833568 3888000 3916800 3944000 3965760 3993300 4008960 4059072 4131000 4176000 4228200 4230144 4259520 4312764 4374000 4406400 4437000 4510080 4543488 4647375 4665600 4698000 4732800 4758912 4791960 4896000 4957200 4991625 5011200 5073840 5111424 5184000 5285250 5287680 5324400 5390955 5412096 5508000 5568000 5598720 5637600 5679360 5750352 5832000 5875200 5916000 5948640 5989950 6013440 6196500 6220800 6264000 6310400 6342300 6345216 6389280 6528000 6609600 6655500 6681600 6765120 6815232 6998400 7047000 7050240 7099200 7187940 7216128 7344000 7435800 7516800 7572480 7667136 7776000 7888000 7927875 7931520 7986600 8118144 8262000 8352000 8456400 8519040 8625528 8748000 8812800 8874000 8984925 9020160 9294750 9331200 9396000 9465600 9517824 9583920 9792000 9914400 9983250 10022400 10147680 10222848 10368000 10570500 10575360 10648800 10781910 10824192 11016000 11136000 11197440 11275200 11358720 11500704 11664000 11750400 11832000 11897280 11979900 12026880 12393000 12528000 12620800 12684600 12690432 12778560 13219200 13311000 13530240 13630464 13996800 14094000 14198400 14375880 14688000 14871600 14974875 15033600 15334272 15552000 15776000 15855750 15863040 15973200 16236288 16524000 16704000 16912800 17038080 17251056 17496000 17625600 17748000 17969850 18040320 18589500 18662400 18792000 18931200 19035648 19167840 19584000 19828800 19966500 20044800 20295360 20445696 21141000 21150720 21297600 21563820 21648384 22032000 22550400 22717440 23001408 23328000 23664000 23794560 23959800 24786000 25056000 25369200 25557120 26438400 26622000 26954775 27060480 27993600 28188000 28396800 28751760 29376000 29743200 29949750 30067200 30668544 31104000 31552000 31711500 31726080 31946400 32472576 33048000 33408000 33825600 34076160 34502112 34992000 35251200 35496000 35939700 36080640 37179000 37584000 37862400 38071296 38335680 39657600 39933000 40590720 40891392 42282000 42595200 43127640 44064000 44924625 45100800 46002816 46656000 47328000 47589120 47919600 49572000 50112000 50738400 51114240 52876800 53244000 53909550 54120960 55987200 56376000 56793600 57503520 58752000 59486400 59899500 60134400 61337088 63104000 63423000 63452160 63892800 64945152 66096000 67651200 68152320 69004224 69984000 70992000 71879400 74358000 75168000 76671360 79315200 79866000 81181440 84564000 85190400 86255280 88128000 89849250 90201600 92005632 93312000 94656000 95178240 95839200 99144000 100224000 101476800 102228480 105753600 106488000 107819100 108241920 112752000 113587200 115007040 118972800 119799000 122674176 126846000 127785600 132192000 134773875 135302400 138008448 139968000 141984000 143758800 148716000 150336000 153342720 158630400 159732000 162362880 169128000 170380800 172510560 176256000 179698500 180403200 184011264 189312000 190356480 191678400 198288000 202953600 204456960 212976000 215638200 225504000 230014080 237945600 239598000 253692000 255571200 264384000 269547750 270604800 276016896 279936000 283968000 287517600 297432000 300672000 306685440 317260800 319464000 324725760 338256000 340761600 345021120 359397000 368022528 383356800 396576000 405907200 425952000 431276400 451008000 460028160 475891200 479196000 507384000 511142400 528768000 539095500 541209600 552033792 567936000 575035200 594864000 613370880 638928000 676512000 690042240 718794000 766713600 793152000 811814400 851904000 862552800 902016000 920056320 951782400 958392000 1014768000 1022284800 1078191000 1104067584 1150070400 1189728000 1277856000 1353024000 1380084480 1437588000 1533427200 1586304000 1623628800 1703808000 1725105600 1840112640 1916784000 2029536000 2156382000 2300140800 2379456000 2555712000 2706048000 2760168960 2875176000 3066854400 3450211200 3833568000 4059072000 4312764000 4600281600 4758912000 5111424000 5520337920 5750352000 6900422400 7667136000 8118144000 8625528000 9200563200 11500704000 13800844800 15334272000 17251056000 23001408000 27601689600 34502112000 46002816000 69004224000 138008448000
- Sum of all divisors σ(n): 565600838400
- Sum of proper divisors (its aliquot sum) s(n): 427592390400
- 138008448000 is an abundant number, because the sum of its proper divisors (427592390400) is greater than itself. Its abundance is 289583942400
Bases of 138008448000
- Binary: 100000001000011111000111001100000000002
- Hexadecimal: 0x2021F1CC00
- Base-36: 1REEO000
Squares and roots of 138008448000
- 138008448000 squared (1380084480002) is 19046331719368704000000
- 138008448000 cubed (1380084480003) is 2628554680683246378811392000000000
-
The
square root of 138008448000 is 371494.8828718909 -
The
cube root of 138008448000 is 5167.7547002137
Scales and comparisons
How big is 138008448000?- 138,008,448,000 seconds is equal to 4,388 years, 12 weeks, 4 days.
-
To count from 1 to 138,008,448,000 would take you about eight thousand, seven hundred seventy-six 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 138008448000 cubic inches would be around 430.6 feet tall.
Recreational maths with 138008448000
- 138008448000 backwards is 000844800831
- 138008448000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138008448000's digits is 36
- More coming soon!
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The information we have on file for 138008448000 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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