138290404844800
138,290,404,844,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138290404844800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
138290404844800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138290404844800:
28 × 52 × 132 × 23 × 532 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 23 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 138290404844800 from the Numbermatics database.
Names of 138290404844800
- Cardinal: 138290404844800 can be written as One hundred thirty-eight trillion, two hundred ninety billion, four hundred four million, eight hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382904048448 × 1014
Factors of 138290404844800
Divisors of 138290404844800
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 53 64 65 80 92 100 104 106 115 128 130 160 169 184 200 208 212 230 256 260 265 299 320 325 338 368 400 416 424 460 520 530 575 598 640 650 676 689 736 800 832 845 848 920 1040 1060 1150 1196 1219 1280 1300 1325 1352 1378 1472 1495 1600 1664 1690 1696 1840 1979 2080 2120 2300 2392 2438 2600 2650 2704 2756 2809 2944 2990 3200 3328 3380 3392 3445 3680 3887 3958 4160 4225 4240 4600 4784 4876 5200 5300 5408 5512 5618 5888 5980 6095 6400 6760 6784 6890 7360 7475 7774 7916 8320 8450 8480 8957 9200 9568 9752 9895 10400 10600 10816 11024 11236 11960 12190 13520 13568 13780 14045 14720 14950 15548 15832 15847 16640 16900 16960 17225 17914 18400 19136 19435 19504 19790 20800 21200 21632 22048 22472 23920 24380 25727 27040 27560 28090 29440 29900 30475 31096 31664 31694 33800 33920 34450 35828 36517 36800 38272 38870 39008 39580 41600 42400 43264 44096 44785 44944 45517 47840 48760 49475 51454 54080 55120 56180 59800 60950 62192 63328 63388 64607 67600 67840 68900 70225 71656 73034 73600 76544 77740 78016 79160 79235 83200 84800 88192 89570 89888 91034 95680 97175 97520 98950 102908 104887 108160 110240 112360 119600 121900 124384 126656 126776 128635 129214 135200 137800 140450 143312 146068 147200 155480 156032 158320 158470 169600 176384 179140 179776 182068 182585 191360 194350 195040 197900 205816 206011 209774 216320 220480 223925 224720 227585 239200 243800 248768 253312 253552 257270 258428 270400 275600 280900 286624 292136 310960 312064 316640 316940 323035 334451 339200 358280 359552 364136 365170 382720 388700 390080 395800 396175 411632 412022 419548 440960 447850 449440 455170 474721 478400 487600 497536 506624 507104 514540 516856 524435 540800 551200 561800 573248 584272 591721 621920 633280 633880 643175 646070 668902 716560 719104 728272 730340 777400 780160 791600 792350 823264 824044 839096 839891 881920 895700 898880 910340 912925 949442 956800 975200 995072 1014208 1029080 1030055 1033712 1048870 1081600 1102400 1123600 1137925 1146496 1168544 1183442 1243840 1266560 1267760 1286350 1292140 1337804 1363531 1433120 1456544 1460680 1554800 1560320 1583200 1584700 1615175 1646528 1648088 1672255 1678192 1679782 1791400 1797760 1820680 1825850 1898884 1913600 1950400 2028416 2058160 2060110 2067424 2097740 2204800 2247200 2275850 2292992 2337088 2366884 2373605 2412401 2487680 2533120 2535520 2572700 2584280 2622175 2675608 2727062 2866240 2913088 2921360 2958605 3109600 3166400 3169400 3230350 3293056 3296176 3344510 3356384 3359564 3582800 3595520 3641360 3651700 3797768 3900800 4056832 4116320 4120220 4134848 4195480 4199455 4409600 4494400 4551700 4674176 4733768 4747210 4824802 4975360 5071040 5145400 5150275 5168560 5244350 5351216 5454124 5559011 5732480 5826176 5842720 5917210 6219200 6332800 6338800 6460700 6586112 6592352 6689020 6712768 6719128 6817655 7165600 7282720 7303400 7595536 7692373 7801600 8232640 8240440 8269696 8361275 8390960 8398910 8988800 9103400 9348352 9467536 9494420 9649604 10142080 10290800 10300550 10337120 10488700 10702432 10908248 10918583 11118022 11464960 11652352 11685440 11834420 11868025 12062005 12438400 12665600 12677600 12921400 13184704 13378040 13425536 13438256 13635310 14331200 14565440 14606800 14793025 15191072 15384746 16465280 16480880 16539392 16722550 16781920 16797820 17725903 17977600 18206800 18935072 18988840 19299208 20284160 20581600 20601100 20674240 20977400 20997275 21404864 21816496 21837166 22236044 23370880 23668840 23736050 24124010 24876800 25355200 25842800 26369408 26756080 26851072 26876512 27270620 27795055 28662400 29130880 29213600 29586050 30382144 30769492 31361213 32930560 32961760 33445100 33563840 33595640 34088275 35451806 36413600 37870144 37977680 38461865 38598416 41163200 41202200 41348480 41954800 41994550 42809728 43632992 43674332 44472088 46741760 47337680 47472100 48248020 50710400 51685600 52738816 53512160 53753024 54541240 54592915 55590110 57324800 58261760 58427200 59172100 60310025 60764288 61538984 62722426 65923520 66890200 67127680 67191280 68176550 70903612 72267143 72827200 75740288 75955360 76923730 77196832 82326400 82404400 82696960 83909600 83989100 85619456 87265984 87348664 88629515 88944176 94675360 94944200 96496040 101420800 103371200 107024320 107506048 109082480 109185830 111180220 116854400 118344200 120620050 121528576 123077968 125444852 127857253 131847040 133780400 134255360 134382560 136353100 138975275 141807224 144534286 145654400 151480576 151910720 153847460 154393664 156806065 164652800 164808800 167819200 167978200 174531968 174697328 177259030 177888352 189350720 189888400 192309325 192992080 206742400 214048640 215012096 218164960 218371660 222360440 233708800 236688400 241240100 246155936 250889704 255714506 263694080 267560800 268765120 272706200 272964575 277950550 283614448 289068572 291308800 303821440 307694920 308787328 313612130 329617600 335638400 335956400 349063936 349394656 354518060 355776704 361335715 378701440 379776800 384618650 385984160 407695769 413484800 428097280 436329920 436743320 443147575 444720880 473376800 482480200 492311872 501779408 511429012 535121600 537530240 545412400 545929150 555901100 567228896 578137144 607642880 615389840 617574656 627224260 639286265 659235200 671276800 671912800 698789312 709036120 711553408 722671430 757402880 759553600 769237300 771968320 784030325 815391538 872659840 873486640 886295150 889441760 939472859 946753600 964960400 984623744 1003558816 1022858024 1070243200 1075060480 1090824800 1091858300 1111802200 1134457792 1156274288 1230779680 1254448520 1278572530 1318470400 1343825600 1397578624 1418072240 1423106816 1445342860 1519107200 1538474600 1543936640 1568060650 1630783076 1662144289 1745319680 1746973280 1772590300 1778883520 1806678575 1878945718 1893507200 1929920800 1969247488 2007117632 2038478845 2045716048 2140486400 2181649600 2183716600 2223604400 2268915584 2312548576 2461559360 2508897040 2557145060 2687651200 2795157248 2836144480 2890685720 3038214400 3076949200 3087873280 3136121300 3196431325 3261566152 3324288578 3493946560 3545180600 3557767040 3613357150 3757891436 3787014400 3859841600 4014235264 4076957690 4091432096 4363299200 4367433200 4447208800 4537831168 4625097152 4697364295 4923118720 5017794080 5114290120 5375302400 5672288960 5781371440 6153898400 6272242600 6392862650 6523132304 6648577156 6987893120 7090361200 7115534080 7226714300 7515782872 7719683200 8028470528 8153915380 8182864192 8310721445 8726598400 8734866400 8894417600 9250194304 9394728590 9846237440 10035588160 10192394225 10228580240 11344577920 11562742880 12307796800 12544485200 12785725300 13046264608 13297154312 13975786240 14180722400 14453428600 15031565744 15439366400 16307830760 16365728384 16621442890 17469732800 17788835200 18500388608 18789457180 20071176320 20384788450 20457160480 21607875757 22689155840 23125485760 23486821475 24615593600 25088970400 25571450600 26092529216 26594308624 28361444800 28906857200 30063131488 32615661520 32731456768 33242885780 34939465600 35577670400 37578914360 40142352640 40769576900 40914320960 41553607225 43215751514 46250971520 46973642950 49231187200 50177940800 51142901200 52185058432 53188617248 56722889600 57813714400 60126262976 65231323040 66485771560 69878931200 75157828720 81539153800 81828641920 83107214450 86431503028 92501943040 93947285900 100355881600 102285802400 104370116864 106377234496 108039378785 113445779200 115627428800 120252525952 130462646080 132971543120 150315657440 163078307600 163657283840 166214428900 172863006056 187894571800 200711763200 204571604800 212754468992 216078757570 231254857600 240505051904 260925292160 265943086240 300631314880 326156615200 332428857800 345726012112 375789143600 409143209600 425508937984 432157515140 462509715200 521850584320 531886172480 540196893925 601262629760 652313230400 664857715600 691452024224 751578287200 818286419200 864315030280 1063772344960 1080393787850 1202525259520 1304626460800 1329715431200 1382904048448 1503156574400 1728630060560 2127544689920 2160787575700 2609252921600 2659430862400 2765808096896 3006313148800 3457260121120 4321575151400 5318861724800 5531616193792 6012626297600 6914520242240 8643150302800 10637723449600 13829040484480 17286300605600 27658080968960 34572601211200 69145202422400 138290404844800
- Sum of all divisors σ(n): 394395057413280
- Sum of proper divisors (its aliquot sum) s(n): 256104652568480
- 138290404844800 is an abundant number, because the sum of its proper divisors (256104652568480) is greater than itself. Its abundance is 117814247723680
Bases of 138290404844800
- Binary: 111110111000110001111100111010011100101000000002
- Hexadecimal: 0x7DC63E74E500
- Base-36: 1D0PQGHPTS
Squares and roots of 138290404844800
- 138290404844800 squared (1382904048448002) is 19124236072138683312087040000
- 138290404844800 cubed (1382904048448003) is 2644698348763586292999334506815291392000000
-
The
square root of 138290404844800 is 11759694.0795583623 -
The
cube root of 138290404844800 is 51712.7161690063
Scales and comparisons
How big is 138290404844800?- 138,290,404,844,800 seconds is equal to 4,397,207 years, 5 weeks, 6 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,290,404,844,800 would take you about ten million, nine hundred ninety-three thousand and seventeen 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 138290404844800 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138290404844800
- 138290404844800 backwards is 008448404092831
- The number of decimal digits it has is: 15
- The sum of 138290404844800's digits is 55
- More coming soon!
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The information we have on file for 138290404844800 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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