138221039001600
138,221,039,001,600 is an even composite number composed of six prime numbers multiplied together.
138221039001600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 138221039001600:
213 × 33 × 52 × 19 × 312 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 19 × 31 × 31 × 37 × 37)See below for interesting mathematical facts about the number 138221039001600 from the Numbermatics database.
Names of 138221039001600
- Cardinal: 138221039001600 can be written as One hundred thirty-eight trillion, two hundred twenty-one billion, thirty-nine million, one thousand, six hundred.
Scientific notation
- Scientific notation: 1.382210390016 × 1014
Factors of 138221039001600
Divisors of 138221039001600
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 31 32 36 37 38 40 45 48 50 54 57 60 62 64 72 74 75 76 80 90 93 95 96 100 108 111 114 120 124 128 135 144 148 150 152 155 160 171 180 185 186 190 192 200 216 222 225 228 240 248 256 270 279 285 288 296 300 304 310 320 333 342 360 370 372 380 384 400 432 444 450 456 465 475 480 496 512 513 540 555 558 570 576 589 592 600 608 620 640 666 675 684 703 720 740 744 760 768 775 800 837 855 864 888 900 912 925 930 950 960 961 992 999 1024 1026 1080 1110 1116 1140 1147 1152 1178 1184 1200 1216 1240 1280 1332 1350 1368 1369 1395 1406 1425 1440 1480 1488 1520 1536 1550 1600 1665 1674 1710 1728 1767 1776 1800 1824 1850 1860 1900 1920 1922 1984 1998 2048 2052 2109 2160 2220 2232 2280 2294 2304 2325 2356 2368 2400 2432 2480 2560 2565 2664 2700 2736 2738 2775 2790 2812 2850 2880 2883 2945 2960 2976 3040 3072 3100 3200 3330 3348 3420 3441 3456 3515 3534 3552 3600 3648 3700 3720 3800 3840 3844 3968 3996 4096 4104 4107 4185 4218 4275 4320 4440 4464 4560 4588 4608 4650 4712 4736 4800 4805 4864 4960 4995 5120 5130 5301 5328 5400 5472 5476 5550 5580 5624 5700 5735 5760 5766 5890 5920 5952 6080 6144 6200 6327 6400 6660 6696 6840 6845 6882 6912 6975 7030 7068 7104 7200 7296 7400 7440 7600 7680 7688 7936 7992 8192 8208 8214 8325 8370 8436 8550 8640 8649 8835 8880 8928 9120 9176 9216 9300 9424 9472 9600 9610 9728 9920 9990 10240 10260 10323 10545 10602 10656 10800 10944 10952 11100 11160 11248 11400 11470 11520 11532 11780 11840 11904 12160 12288 12321 12400 12654 12800 12825 13320 13392 13680 13690 13764 13824 13950 14060 14136 14208 14400 14415 14592 14725 14800 14880 15200 15360 15376 15872 15903 15984 16416 16428 16650 16740 16872 17100 17205 17280 17298 17575 17670 17760 17856 18240 18259 18352 18432 18600 18848 18944 18981 19200 19220 19456 19840 19980 20480 20520 20535 20646 20925 21090 21204 21312 21600 21793 21888 21904 22200 22320 22496 22800 22940 23040 23064 23560 23680 23808 24025 24320 24576 24642 24800 24975 25308 25600 25650 25947 26011 26505 26640 26784 27360 27380 27528 27648 27900 28120 28272 28416 28675 28800 28830 29184 29450 29600 29760 30400 30720 30752 30969 31635 31744 31806 31968 32832 32856 33300 33480 33744 34200 34225 34410 34560 34596 35150 35340 35520 35557 35712 36480 36518 36704 36864 36963 37200 37696 37888 37962 38400 38440 38912 39680 39960 40960 41040 41070 41292 41850 42180 42408 42439 42624 43200 43245 43586 43776 43808 44175 44400 44640 44992 45600 45880 46080 46128 47120 47360 47616 48050 48640 49284 49600 49950 50616 51200 51300 51615 51894 52022 52725 53010 53280 53568 54720 54760 54777 55056 55296 55800 56240 56544 56832 57350 57600 57660 58368 58900 59200 59520 60800 61440 61504 61605 61938 63270 63488 63612 63936 65379 65664 65712 66600 66960 67488 68400 68450 68820 69120 69192 70300 70680 71040 71114 71424 72075 72960 73036 73408 73728 73926 74400 75392 75776 75924 76800 76880 77824 78033 79360 79515 79920 82080 82140 82584 83700 84360 84816 84878 85248 86025 86400 86490 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6192698880 6226172928 6310310400 6314923200 6342451200 6399122176 6485596800 6518630400 6553866240 6605545472 6694809600 6730997760 6735918080 6749074170 6917969920 6966786240 7104288600 7191521280 7199012448 7282073600 7296296400 7333459200 7431238656 7498971300 7531660800 7570022400 7577907840 7740873600 7782716160 7822356480 7864639488 7990579200 7998902720 8033771520 8083101696 8192332800 8256931840 8301563904 8413747200 8419897600 8647462400 8691507200 8708482800 8989401600 8998765560 9093489408 9289048320 9339259392 9386827776 9472384800 9588695040 9598683264 9728395200 9777945600 9830799360 9908318208 9998628400 10042214400 10096496640 10103877120 10321164800 10376954880 10777468928 10798518672 10923110400 11146857984 11218329600 11248456950 11366861760 11611310400 11674074240 11733534720 11985868800 11998354080 12050657280 12124652544 12288499200 12385397760 12452345856 12620620800 12629846400 12798244352 12971193600 13037260800 13107732480 13389619200 13471836160 13498148340 13835939840 13933572480 14208577200 14383042560 14398024896 14592592800 14666918400 14862477312 14997942600 15063321600 15155815680 15481747200 15565432320 15644712960 15981158400 15997805440 16166203392 16384665600 16513863680 16603127808 16827494400 16839795200 16872685425 17294924800 17416965600 17978803200 17997531120 18186978816 18578096640 18678518784 18944769600 19197366528 19456790400 19555891200 19661598720 19816636416 19997256800 20084428800 20192993280 20207754240 20642329600 20753909760 21597037344 21846220800 22293715968 22496913900 22733723520 23222620800 23348148480 23467069440 23971737600 23996708160 24101314560 24249305088 24576998400 24770795520 24904691712 25241241600 25259692800 25596488704 25942387200 26074521600 26943672320 26996296680 27671879680 27867144960 28417154400 28766085120 28796049792 29185185600 29333836800 29724954624 29995885200 30126643200 30311631360 30963494400 31130864640 31995610880 32332406784 32769331200 33027727360 33654988800 33679590400 33745370850 34589849600 34833931200 35957606400 35995062240 36373957632 37156193280 37357037568 37889539200 38394733056 38913580800 39111782400 39323197440 39994513600 40168857600 40415508480 41284659200 41507819520 43194074688 44587431936 44993827800 45467447040 46445241600 46696296960 46934138880 47943475200 47993416320 48498610176 49153996800 49541591040 49809383424 50482483200 50519385600 51192977408 51884774400 53887344640 53992593360 55734289920 56834308800 57592099584 58370371200 58667673600 59449909248 59991770400 60253286400 60623262720 61926988800 62261729280 63991221760 65538662400 67359180800 67490741700 69179699200 69667862400 71915212800 71990124480 72747915264 74312386560 74714075136 75779078400 76789466112 77827161600 78223564800 79989027200 80831016960 82569318400 83015639040 86388149376 89174863872 89987655600 90934894080 92890483200 93392593920 95986832640 96997220352 98307993600 99083182080 100964966400 101038771200 102385954816 103769548800 107985186720 111468579840 113668617600 115184199168 116740742400 117335347200 119983540800 120506572800 121246525440 123853977600 124523458560 127982443520 134718361600 134981483400 138359398400 139335724800 143830425600 143980248960 145495830528 148624773120 149428150272 151558156800 153578932224 155654323200 159978054400 161662033920 165138636800 172776298752 178349727744 179975311200 181869788160 185780966400 186785187840 191973665280 196615987200 202077542400 204771909632 207539097600 215970373440 222937159680 227337235200 230368398336 233481484800 234670694400 239967081600 242493050880 247707955200 249046917120 255964887040 269436723200 269962966800 278671449600 287960497920 290991661056 297249546240 303116313600 307157864448 311308646400 319956108800 345552597504 359950622400 363739576320 371561932800 373570375680 383947330560 404155084800 415078195200 431940746880 445874319360 454674470400 460736796672 466962969600 479934163200 484986101760 495415910400 511929774080 539925933600 557342899200 575920995840 606232627200 614315728896 622617292800 639912217600 691105195008 719901244800 727479152640 743123865600 747140751360 767894661120 808310169600 863881493760 891748638720 909348940800 921473593344 933925939200 959868326400 1023859548160 1079851867200 1114685798400 1151841991680 1212465254400 1245234585600 1279824435200 1382210390016 1439802489600 1454958305280 1486247731200 1535789322240 1727762987520 1818697881600 1842947186688 1867851878400 1919736652800 2159703734400 2229371596800 2303683983360 2424930508800 2559648870400 2764420780032 2879604979200 3071578644480 3455525975040 3637395763200 3735703756800 3839473305600 4319407468800 4458743193600 4607367966720 5119297740800 5528841560064 5759209958400 6911051950080 7274791526400 7678946611200 8638814937600 9214735933440 11518419916800 13822103900160 15357893222400 17277629875200 23036839833600 27644207800320 34555259750400 46073679667200 69110519500800 138221039001600
- Sum of all divisors σ(n): 567660215858400
- Sum of proper divisors (its aliquot sum) s(n): 429439176856800
- 138221039001600 is an abundant number, because the sum of its proper divisors (429439176856800) is greater than itself. Its abundance is 291218137855200
Bases of 138221039001600
- Binary: 111110110110110000101111110111000100000000000002
- Hexadecimal: 0x7DB617EE2000
- Base-36: 1CZTV9UYO0
Squares and roots of 138221039001600
- 138221039001600 squared (1382210390016002) is 19105055622681828324802560000
- 138221039001600 cubed (1382210390016003) is 2640720638350442366470130238379524096000000
-
The
square root of 138221039001600 is 11756744.4048767175 -
The
cube root of 138221039001600 is 51704.0684345773
Scales and comparisons
How big is 138221039001600?- 138,221,039,001,600 seconds is equal to 4,395,001 years, 25 weeks, 5 days.
-
To count from 1 to 138,221,039,001,600 would take you about ten million, nine hundred eighty-seven thousand, five hundred three 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 138221039001600 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138221039001600
- 138221039001600 backwards is 006100930122831
- 138221039001600 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138221039001600's digits is 36
- More coming soon!
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"Number 138221039001600 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138221039001600 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138221039001600/
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Numbermatics. 2024. "Number 138221039001600 - Facts about the integer". https://numbermatics.com/n/138221039001600/
The information we have on file for 138221039001600 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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