138207020441600
138,207,020,441,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138207020441600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
138207020441600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138207020441600:
213 × 52 × 11 × 372 × 41 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 37 × 37 × 41 × 1093)See below for interesting mathematical facts about the number 138207020441600 from the Numbermatics database.
Names of 138207020441600
- Cardinal: 138207020441600 can be written as One hundred thirty-eight trillion, two hundred seven billion, twenty million, four hundred forty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.382070204416 × 1014
Factors of 138207020441600
Divisors of 138207020441600
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 37 40 41 44 50 55 64 74 80 82 88 100 110 128 148 160 164 176 185 200 205 220 256 275 296 320 328 352 370 400 407 410 440 451 512 550 592 640 656 704 740 800 814 820 880 902 925 1024 1025 1093 1100 1184 1280 1312 1369 1408 1480 1517 1600 1628 1640 1760 1804 1850 2035 2048 2050 2186 2200 2255 2368 2560 2624 2738 2816 2960 3034 3200 3256 3280 3520 3608 3700 4070 4096 4100 4372 4400 4510 4736 5120 5248 5465 5476 5632 5920 6068 6400 6512 6560 6845 7040 7216 7400 7585 8140 8192 8200 8744 8800 9020 9472 10175 10240 10496 10930 10952 11264 11275 11840 12023 12136 12800 13024 13120 13690 14080 14432 14800 15059 15170 16280 16400 16687 17488 17600 18040 18944 20350 20480 20992 21860 21904 22528 22550 23680 24046 24272 25600 26048 26240 27325 27380 28160 28864 29600 30118 30340 32560 32800 33374 34225 34976 35200 36080 37888 37925 40441 40700 40960 41984 43720 43808 44813 45056 45100 47360 48092 48544 51200 52096 52480 54650 54760 56129 56320 57728 59200 60115 60236 60680 65120 65600 66748 68450 69952 70400 72160 75295 75776 75850 80882 81400 83435 83968 87440 87616 89626 90112 90200 94720 96184 97088 102400 104192 104960 109300 109520 112258 112640 115456 118400 120230 120472 121360 130240 131200 133496 136900 139904 140800 144320 150590 151552 151700 161764 162800 166870 167936 174880 175232 179252 180400 189440 192368 194176 202205 204800 208384 209920 218600 219040 224065 224516 225280 230912 236800 240460 240944 242720 260480 262400 266992 273800 279808 280645 281600 288640 300575 301180 303104 303400 323528 325600 333740 335872 349760 350464 358504 360800 376475 378880 384736 388352 404410 416768 417175 419840 437200 438080 444851 448130 449032 450560 461824 473600 480920 481888 485440 492943 520960 524800 533984 547600 559616 561290 563200 577280 601150 602360 606800 617419 647056 651200 667480 699520 700928 717008 721600 752950 757760 769472 776704 808820 833536 834350 839680 874400 876160 889702 896260 898064 923648 947200 961840 963776 970880 985886 1011025 1041920 1049600 1067968 1095200 1119232 1120325 1122580 1126400 1154560 1202300 1204720 1213600 1234838 1294112 1302400 1334960 1399040 1401856 1403225 1434016 1443200 1496317 1505900 1515520 1538944 1553408 1617640 1658081 1667072 1668700 1679360 1748800 1752320 1779404 1792520 1796128 1847296 1894400 1923680 1927552 1941760 1971772 2022050 2083840 2099200 2135936 2190400 2224255 2238464 2240650 2245160 2252800 2309120 2404600 2409440 2427200 2464715 2469676 2588224 2604800 2669920 2798080 2803712 2806450 2868032 2886400 2992634 3011800 3077888 3087095 3106816 3235280 3316162 3334144 3337400 3497600 3504640 3558808 3585040 3592256 3694592 3788800 3847360 3855104 3883520 3943544 4044100 4167680 4198400 4271872 4380800 4448510 4476928 4481300 4490320 4618240 4809200 4818880 4854400 4929430 4939352 5176448 5209600 5339840 5596160 5607424 5612900 5736064 5772800 5985268 6023600 6155776 6174190 6213632 6470560 6632324 6674800 6995200 7009280 7117616 7170080 7184512 7481585 7577600 7694720 7710208 7767040 7887088 8088200 8290405 8335360 8396800 8543744 8761600 8897020 8953856 8962600 8980640 9236480 9618400 9637760 9708800 9858860 9878704 10352896 10419200 10679680 11121275 11192320 11214848 11225800 11472128 11545600 11970536 12047200 12311552 12323575 12348380 12427264 12941120 13264648 13349600 13990400 14018560 14235232 14340160 14369024 14963170 15389440 15420416 15435475 15534080 15774176 16176400 16459487 16580810 16670720 17087488 17523200 17794040 17925200 17961280 18238891 18472960 19236800 19275520 19417600 19717720 19757408 20705792 20838400 21359360 22242550 22384640 22451600 22944256 23091200 23941072 24094400 24623104 24647150 24696760 25882240 26529296 26699200 27980800 28037120 28470464 28680320 28738048 29926340 30778880 30840832 30870950 31068160 31548352 32352800 32918974 33161620 34174976 35046400 35588080 35850400 35922560 36477782 37407925 38473600 38551040 38835200 39435440 39514816 41411584 41452025 41676800 42718720 44485100 44769280 44903200 45888512 46182400 47882144 48188800 49246208 49294300 49393520 51764480 53058592 53398400 55961600 56074240 56940928 57360640 57476096 59852680 61348997 61557760 61681664 61741900 62136320 63096704 64705600 65837948 66323240 68349952 70092800 71176160 71700800 71845120 72955564 74815850 76947200 77102080 77670400 78870880 79029632 82297435 82823168 82904050 83353600 85437440 88970200 89806400 91194455 91777024 92364800 95764288 96377600 98492416 98588600 98787040 103528960 106117184 106796800 111923200 113881856 114721280 114952192 119705360 122697994 123115520 123363328 123483800 126193408 129411200 131675896 132646480 136699904 140185600 142352320 143401600 143690240 145911128 149631700 153894400 154204160 155340800 157741760 158059264 164594870 165646336 165808100 170874880 177940400 179612800 182388910 183554048 191528576 192755200 197177200 197574080 207057920 212234368 213593600 223846400 227763712 229442560 229904384 239410720 245395988 246231040 246967600 252386816 258822400 263351792 265292960 280371200 284704640 286803200 287380480 291822256 299263400 306744985 307788800 308408320 310681600 315483520 316118528 329189740 331292672 331616200 341749760 355880800 359225600 364777820 367108096 383057152 385510400 394354400 395148160 411487175 414115840 424468736 427187200 455527424 455972275 458885120 459808768 478821440 490791976 492462080 493935200 504773632 517644800 526703584 530585920 569409280 573606400 574760960 583644512 598526800 613489970 615577600 616816640 630967040 632237056 658379480 663232400 674838967 683499520 711761600 718451200 729555640 766114304 771020800 788708800 790296320 822974350 828231680 848937472 854374400 911054848 911944550 917770240 957642880 981583952 987870400 1009547264 1035289600 1053407168 1061171840 1138818560 1147212800 1149521920 1167289024 1197053600 1226979940 1231155200 1261934080 1264474112 1316758960 1326464800 1349677934 1423523200 1436902400 1459111280 1532228608 1533724925 1542041600 1577417600 1580592640 1645948700 1656463360 1697874944 1708748800 1822109696 1823889100 1835540480 1915285760 1963167904 1975740800 2019094528 2070579200 2106814336 2122343680 2277637120 2294425600 2299043840 2334578048 2394107200 2453959880 2462310400 2523868160 2528948224 2633517920 2652929600 2699355868 2847046400 2873804800 2918222560 3064457216 3067449850 3084083200 3154835200 3161185280 3291897400 3374194835 3395749888 3417497600 3644219392 3647778200 3830571520 3926335808 3951481600 4038189056 4141158400 4213628672 4244687360 4555274240 4588851200 4669156096 4788214400 4907919760 5047736320 5057896448 5267035840 5305859200 5398711736 5694092800 5747609600 5836445120 6128914432 6134899700 6309670400 6322370560 6583794800 6748389670 6791499776 7295556400 7661143040 7852671616 7902963200 8282316800 8427257344 8489374720 9110548480 9177702400 9338312192 9576428800 9815839520 10095472640 10534071680 10611718400 10797423472 11388185600 11495219200 11672890240 12257828864 12269799400 12619340800 12644741120 13167589600 13496779340 13582999552 14591112800 15322286080 15705343232 15805926400 16854514688 16870974175 16978749440 18221096960 18676624384 19152857600 19631679040 20190945280 21068143360 21223436800 21594846944 22776371200 23345780480 24539598800 25238681600 25289482240 26335179200 26993558680 29182225600 30644572160 31410686464 31611852800 33709029376 33741948350 33957498880 37353248768 38305715200 39263358080 42136286720 42446873600 43189693888 45552742400 46691560960 49079197600 50477363200 52670358400 53987117360 58364451200 61289144320 62821372928 63223705600 67418058752 67483896700 67914997760 74706497536 76611430400 78526716160 84272573440 84893747200 86379387776 91105484800 93383121920 98158395200 100954726400 105340716800 107974234720 116728902400 125642745856 126447411200 134836117504 134967793400 149412995072 153222860800 157053432320 168545146880 169787494400 172758775552 186766243840 196316790400 210681433600 215948469440 233457804800 251285491712 269935586800 306445721600 314106864640 337090293760 339574988800 345517551104 373532487680 392633580800 421362867200 431896938880 466915609600 502570983424 539871173600 628213729280 674180587520 691035102208 747064975360 785267161600 842725734400 863793877760 933831219200 1079742347200 1256427458560 1382070204416 1570534323200 1685451468800 1727587755520 1867662438400 2159484694400 2512854917120 2764140408832 3141068646400 3370902937600 3455175511040 3735324876800 4318969388800 5528280817664 6282137292800 6910351022080 8637938777600 12564274585600 13820702044160 17275877555200 27641404088320 34551755110400 69103510220800 138207020441600
- Sum of all divisors σ(n): 394000779429936
- Sum of proper divisors (its aliquot sum) s(n): 255793758988336
- 138207020441600 is an abundant number, because the sum of its proper divisors (255793758988336) is greater than itself. Its abundance is 117586738546736
Bases of 138207020441600
- Binary: 111110110110010110101000101101111100000000000002
- Hexadecimal: 0x7DB2D45BE000
- Base-36: 1CZNFFKKJK
Squares and roots of 138207020441600
- 138207020441600 squared (1382070204416002) is 19101180499344840259010560000
- 138207020441600 cubed (1382070204416003) is 2639917243731643633084559104510263296000000
-
The
square root of 138207020441600 is 11756148.1975007443 -
The
cube root of 138207020441600 is 51702.3204105521
Scales and comparisons
How big is 138207020441600?- 138,207,020,441,600 seconds is equal to 4,394,555 years, 38 weeks, 6 days, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,207,020,441,600 would take you about ten million, nine hundred eighty-six thousand, three hundred eighty-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 138207020441600 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138207020441600
- 138207020441600 backwards is 006144020702831
- The number of decimal digits it has is: 15
- The sum of 138207020441600's digits is 38
- More coming soon!
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The information we have on file for 138207020441600 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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