138274207806924800
138,274,207,806,924,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138274207806924800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
138274207806924800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138274207806924800:
211 × 52 × 132 × 612 × 1012 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 61 × 61 × 101 × 101 × 421)See below for interesting mathematical facts about the number 138274207806924800 from the Numbermatics database.
Names of 138274207806924800
- Cardinal: 138274207806924800 can be written as One hundred thirty-eight quadrillion, two hundred seventy-four trillion, two hundred seven billion, eight hundred six million, nine hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382742078069248 × 1017
Factors of 138274207806924800
Divisors of 138274207806924800
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 61 64 65 80 100 101 104 122 128 130 160 169 200 202 208 244 256 260 305 320 325 338 400 404 416 421 488 505 512 520 610 640 650 676 793 800 808 832 842 845 976 1010 1024 1040 1220 1280 1300 1313 1352 1525 1586 1600 1616 1664 1684 1690 1952 2020 2048 2080 2105 2440 2525 2560 2600 2626 2704 3050 3172 3200 3232 3328 3368 3380 3721 3904 3965 4040 4160 4210 4225 4880 5050 5120 5200 5252 5408 5473 6100 6161 6344 6400 6464 6565 6656 6736 6760 7442 7808 7930 8080 8320 8420 8450 9760 10100 10201 10240 10309 10400 10504 10525 10816 10946 12200 12322 12688 12800 12928 13130 13312 13472 13520 14884 15616 15860 16160 16640 16840 16900 17069 18605 19520 19825 20200 20402 20618 20800 21008 21050 21632 21892 24400 24644 25376 25600 25681 25856 26260 26624 26944 27040 27365 29768 30805 31232 31720 32320 32825 33280 33680 33800 34138 37210 39040 39650 40400 40804 41236 41600 42016 42100 42521 43264 43784 48373 48800 49288 50752 51005 51200 51362 51545 51712 52520 53888 54080 54730 59536 61610 62464 63440 64640 65650 66560 67360 67600 68276 71149 74420 78080 79300 80093 80800 81608 82472 83200 84032 84200 85042 85345 86528 87568 93025 96746 97600 98576 101504 102010 102724 103090 103424 105040 107776 108160 109460 119072 123220 124928 126880 128405 129280 131300 132613 133120 134720 135200 136552 136825 142298 148840 154025 156160 158600 160186 161600 163216 164944 166400 168064 168400 170084 170690 173056 175136 186050 193492 195200 197152 203008 204020 205448 206180 206848 210080 212605 215552 216320 218920 238144 241865 246440 253760 255025 256810 257725 258560 262600 265226 269440 270400 273104 273650 284596 297680 308050 312320 317200 320372 323200 326432 329888 332800 333853 336128 336800 340168 341380 346112 350272 355745 372100 375821 386984 390400 394304 400465 406016 408040 410896 412360 420160 425210 426725 431104 432640 437840 476288 483730 492880 507520 510050 513620 515450 517120 525200 530452 538880 540800 546208 547300 552773 569192 595360 616100 622261 624640 628849 634400 640744 642025 646400 652864 659776 663065 665600 667706 672256 673600 680336 682760 700544 711490 744200 751642 773968 780800 788608 800930 812032 816080 821792 824720 840320 850420 853450 862208 865280 875680 952576 967460 985760 1015040 1020100 1027240 1030900 1034240 1041209 1050400 1060904 1063025 1077760 1081600 1092416 1094600 1105546 1138384 1190720 1209325 1232200 1244522 1257698 1268800 1281488 1284050 1292800 1305728 1319552 1326130 1335412 1344512 1347200 1360672 1365520 1401088 1422980 1488400 1503284 1547936 1561600 1566541 1577216 1601860 1624064 1632160 1643584 1649440 1669265 1680640 1700840 1706900 1723969 1730560 1751360 1778725 1879105 1905152 1934920 1971520 2002325 2030080 2040200 2054480 2061800 2082418 2100800 2121808 2126050 2155520 2163200 2184832 2189200 2211092 2276768 2381440 2418650 2464400 2489044 2515396 2537600 2562976 2568100 2585600 2593781 2611456 2639104 2652260 2670824 2689024 2694400 2721344 2731040 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1122173411840 1161265518400 1263239610880 1278422779280 1282977729800 1316395733120 1336964416450 1341296030720 1346074995200 1355496596480 1362253781200 1402716764800 1416743932448 1429249868800 1486419863552 1579049513600 1598028474100 1620179363840 1625951974400 1642211494144 1645494666400 1661949613064 1676620038400 1694370745600 1711314453056 1726420633600 1743684839936 1770929915560 1858024829440 1943445555200 2025224204800 2045476446848 2052764367680 2077437016330 2106233172992 2139143066320 2179606049920 2213662394450 2244346823680 2322531036800 2526479221760 2556845558560 2565955459600 2632791466240 2673928832900 2682592061440 2692149990400 2700668121229 2710993192960 2724507562400 2805433529600 2833487864896 2858499737600 3158099027200 3196056948200 3251903948800 3284422988288 3290989332800 3323899226128 3353240076800 3388741491200 3422628906112 3487369679872 3541859831120 3716049658880 4050448409600 4090952893696 4105528735360 4154874032660 4212466345984 4278286132640 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25264792217600 25568455585600 26327914662400 26591193809024 27006681212290 27381031248896 28334878648960 32727623149568 32844229882880 33238992261280 34226289061120 34873696798720 35418598311200 37160496588800 40909528936960 41055287353600 41548740326600 42782861326400 43210689939664 43592120998400 45335805838336 51136911171200 52655829324800 53182387618048 54013362424580 54762062497792 56669757297920 65688459765760 66477984522560 67516703030725 68452578122240 70837196622400 81819057873920 82110574707200 83097480653200 85565722652800 86421379879328 87184241996800 90671611676672 102273822342400 105311658649600 106364775236096 108026724849160 113339514595840 132955969045120 135033406061450 136905156244480 141674393244800 163638115747840 164221149414400 166194961306400 171131445305600 172842759758656 174368483993600 204547644684800 212729550472192 216053449698320 226679029191680 265911938090240 270066812122900 273810312488960 283348786489600 328442298828800 332389922612800 342262890611200 345685519517312 409095289369600 425459100944384 432106899396640 453358058383360 531823876180480 540133624245800 566697572979200 664779845225600 684525781222400 691371039034624 818190578739200 864213798793280 1063647752360960 1080267248491600 1133395145958400 1329559690451200 1369051562444800 1382742078069248 1728427597586560 2127295504721920 2160534496983200 2266790291916800 2659119380902400 2765484156138496 3456855195173120 4321068993966400 5318238761804800 5530968312276992 6913710390346240 8642137987932800 10636477523609600 13827420780692480 17284275975865600 27654841561384960 34568551951731200 69137103903462400 138274207806924800
- Sum of all divisors σ(n): 382101886380507930
- Sum of proper divisors (its aliquot sum) s(n): 243827678573583130
- 138274207806924800 is an abundant number, because the sum of its proper divisors (243827678573583130) is greater than itself. Its abundance is 105553470766658330
Bases of 138274207806924800
- Binary: 1111010110011111110101000110011011110111000101000000000002
- Hexadecimal: 0x1EB3FA8CDEE2800
- Base-36: 11TI464PZTA8
Squares and roots of 138274207806924800
- 138274207806924800 squared (1382742078069248002) is 19119756544632623308394832855040000
- 138274207806924800 cubed (1382742078069248003) is 2643769189670341820124382592530040775866580992000000
-
The
square root of 138274207806924800 is 371852400.5663064157 -
The
cube root of 138274207806924800 is 517106.9716769755
Scales and comparisons
How big is 138274207806924800?- 138,274,207,806,924,800 seconds is equal to 4,396,692,098 years, 2 weeks, 5 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,274,207,806,924,800 would take you about thirteen billion, one hundred ninety million, seventy-six thousand, two hundred ninety-four 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 138274207806924800 cubic inches would be around 43092.2 feet tall.
Recreational maths with 138274207806924800
- 138274207806924800 backwards is 008429608702472831
- The number of decimal digits it has is: 18
- The sum of 138274207806924800's digits is 71
- More coming soon!
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The information we have on file for 138274207806924800 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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