138848601600
138,848,601,600 is an even composite number composed of five prime numbers multiplied together.
138848601600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138848601600:
29 × 33 × 52 × 17 × 23633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 23633)See below for interesting mathematical facts about the number 138848601600 from the Numbermatics database.
Names of 138848601600
- Cardinal: 138848601600 can be written as One hundred thirty-eight billion, eight hundred forty-eight million, six hundred one thousand, six hundred.
Scientific notation
- Scientific notation: 1.388486016 × 1011
Factors of 138848601600
Divisors of 138848601600
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 255 256 270 272 288 300 306 320 340 360 384 400 408 425 432 450 459 480 510 512 540 544 576 600 612 640 675 680 720 765 768 800 816 850 864 900 918 960 1020 1080 1088 1152 1200 1224 1275 1280 1350 1360 1440 1530 1536 1600 1632 1700 1728 1800 1836 1920 2040 2160 2176 2295 2304 2400 2448 2550 2560 2700 2720 2880 3060 3200 3264 3400 3456 3600 3672 3825 3840 4080 4320 4352 4590 4608 4800 4896 5100 5400 5440 5760 6120 6400 6528 6800 6912 7200 7344 7650 7680 8160 8640 8704 9180 9600 9792 10200 10800 10880 11475 11520 12240 12800 13056 13600 13824 14400 14688 15300 16320 17280 18360 19200 19584 20400 21600 21760 22950 23040 23633 24480 26112 27200 28800 29376 30600 32640 34560 36720 38400 39168 40800 43200 43520 45900 47266 48960 54400 57600 58752 61200 65280 69120 70899 73440 78336 81600 86400 91800 94532 97920 108800 115200 117504 118165 122400 130560 141798 146880 163200 172800 183600 189064 195840 212697 217600 235008 236330 244800 283596 293760 326400 345600 354495 367200 378128 391680 401761 425394 472660 489600 567192 587520 590825 638091 652800 708990 734400 756256 803522 850788 945320 979200 1063485 1134384 1175040 1181650 1205283 1276182 1417980 1468800 1512512 1607044 1701576 1772475 1890640 1958400 2008805 2126970 2268768 2363300 2410566 2552364 2835960 2937600 3025024 3190455 3214088 3403152 3544950 3615849 3781280 4017610 4253940 4537536 4726600 4821132 5104728 5317425 5671920 5875200 6026415 6050048 6380910 6428176 6806304 7089900 7231698 7562560 8035220 8507880 9075072 9453200 9642264 10044025 10209456 10634850 10847547 11343840 12052830 12100096 12761820 12856352 13612608 14179800 14463396 15125120 15952275 16070440 17015760 18079245 18150144 18906400 19284528 20088050 20418912 21269700 21695094 22687680 24105660 25523640 25712704 27225216 28359600 28926792 30132075 30250240 31904550 32140880 34031520 36158490 36300288 37812800 38569056 40176100 40837824 42539400 43390188 45375360 48211320 51047280 51425408 54237735 54450432 56719200 57853584 60264150 60500480 63809100 64281760 68063040 72316980 75625600 77138112 80352200 81675648 85078800 86780376 90396225 90750720 96422640 102094560 102850816 108475470 108900864 113438400 115707168 120528300 127618200 128563520 136126080 144633960 151251200 154276224 160704400 163351296 170157600 173560752 180792450 181501440 192845280 204189120 205701632 216950940 226876800 231414336 241056600 255236400 257127040 271188675 272252160 289267920 302502400 308552448 321408800 326702592 340315200 347121504 361584900 385690560 408378240 433901880 453753600 462828672 482113200 510472800 514254080 542377350 544504320 578535840 617104896 642817600 680630400 694243008 723169800 771381120 816756480 867803760 907507200 925657344 964226400 1020945600 1028508160 1084754700 1157071680 1285635200 1361260800 1388486016 1446339600 1542762240 1633512960 1735607520 1851314688 1928452800 2041891200 2169509400 2314143360 2571270400 2722521600 2776972032 2892679200 3085524480 3471215040 3856905600 4083782400 4339018800 4628286720 5142540800 5553944064 5785358400 6942430080 7713811200 8167564800 8678037600 9256573440 11570716800 13884860160 15427622400 17356075200 23141433600 27769720320 34712150400 46282867200 69424300800 138848601600
- Sum of all divisors σ(n): 539643630240
- Sum of proper divisors (its aliquot sum) s(n): 400795028640
- 138848601600 is an abundant number, because the sum of its proper divisors (400795028640) is greater than itself. Its abundance is 261946427040
Bases of 138848601600
- Binary: 100000010101000000010110000110000000002
- Hexadecimal: 0x2054058600
- Base-36: 1RSAVEO0
Squares and roots of 138848601600
- 138848601600 squared (1388486016002) is 19278934166275522560000
- 138848601600 cubed (1388486016003) is 2676853049325818187765252096000000
-
The
square root of 138848601600 is 372623.9412598177 -
The
cube root of 138848601600 is 5178.2200669391
Scales and comparisons
How big is 138848601600?- 138,848,601,600 seconds is equal to 4,414 years, 49 weeks, 5 days.
-
To count from 1 to 138,848,601,600 would take you about eight thousand, eight hundred twenty-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 138848601600 cubic inches would be around 431.5 feet tall.
Recreational maths with 138848601600
- 138848601600 backwards is 006106848831
- 138848601600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138848601600's digits is 45
- More coming soon!
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