137481347821142016
137,481,347,821,142,016 is an even composite number composed of four prime numbers multiplied together.
What does the number 137481347821142016 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 544 divisors.
137481347821142016 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred forty-four divisors.
Prime factorization of 137481347821142016:
216 × 33 × 73 × 10213
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 73 × 1021 × 1021 × 1021)See below for interesting mathematical facts about the number 137481347821142016 from the Numbermatics database.
Names of 137481347821142016
- Cardinal: 137481347821142016 can be written as One hundred thirty-seven quadrillion, four hundred eighty-one trillion, three hundred forty-seven billion, eight hundred twenty-one million, one hundred forty-two thousand and sixteen.
Scientific notation
- Scientific notation: 1.37481347821142016 × 1017
Factors of 137481347821142016
Divisors of 137481347821142016
- Number of divisors d(n): 544
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 256 288 292 384 432 438 512 576 584 657 768 864 876 1021 1024 1152 1168 1314 1536 1728 1752 1971 2042 2048 2304 2336 2628 3063 3072 3456 3504 3942 4084 4096 4608 4672 5256 6126 6144 6912 7008 7884 8168 8192 9189 9216 9344 10512 12252 12288 13824 14016 15768 16336 16384 18378 18432 18688 21024 24504 24576 27567 27648 28032 31536 32672 32768 36756 36864 37376 42048 49008 49152 55134 55296 56064 63072 65344 65536 73512 73728 74533 74752 84096 98016 98304 110268 110592 112128 126144 130688 147024 147456 149066 149504 168192 196032 196608 220536 221184 223599 224256 252288 261376 294048 294912 298132 299008 336384 392064 441072 442368 447198 448512 504576 522752 588096 589824 596264 598016 670797 672768 784128 882144 884736 894396 897024 1009152 1042441 1045504 1176192 1192528 1196032 1341594 1345536 1568256 1764288 1769472 1788792 1794048 2012391 2018304 2084882 2091008 2352384 2385056 2392064 2683188 2691072 3127323 3136512 3528576 3577584 3588096 4024782 4036608 4169764 4182016 4704768 4770112 4784128 5366376 5382144 6254646 6273024 7057152 7155168 7176192 8049564 8073216 8339528 8364032 9381969 9409536 9540224 10732752 10764288 12509292 12546048 14114304 14310336 14352384 16099128 16146432 16679056 16728064 18763938 18819072 19080448 21465504 21528576 25018584 25092096 28145907 28228608 28620672 32198256 32292864 33358112 33456128 37527876 37638144 38160896 42931008 43057152 50037168 50184192 56291814 56457216 57241344 64396512 64585728 66716224 66912256 75055752 75276288 76098193 76321792 85862016 100074336 100368384 112583628 112914432 114482688 128793024 129171456 133432448 150111504 150552576 152196386 152643584 171724032 200148672 200736768 225167256 225828864 228294579 228965376 257586048 266864896 300223008 301105152 304392772 305287168 343448064 400297344 450334512 451657728 456589158 457930752 515172096 533729792 600446016 602210304 608785544 610574336 684883737 686896128 800594688 900669024 903315456 913178316 915861504 1030344192 1064332261 1067459584 1200892032 1217571088 1221148672 1369767474 1373792256 1601189376 1801338048 1806630912 1826356632 1831723008 2054651211 2060688384 2128664522 2134919168 2401784064 2435142176 2442297344 2739534948 2747584512 3192996783 3202378752 3602676096 3652713264 3663446016 4109302422 4121376768 4257329044 4269838336 4803568128 4870284352 4884594688 5479069896 5495169024 6385993566 6404757504 7205352192 7305426528 7326892032 8218604844 8242753536 8514658088 8539676672 9578990349 9607136256 9740568704 10958139792 10990338048 12771987132 12809515008 14410704384 14610853056 14653784064 16437209688 16485507072 17029316176 17079353344 19157980698 19214272512 19481137408 21916279584 21980676096 25543974264 25619030016 28736971047 28821408768 29221706112 32874419376 32971014144 34058632352 34158706688 38315961396 38428545024 38962274816 43832559168 43961352192 51087948528 51238060032 57473942094 57642817536 58443412224 65748838752 65942028288 68117264704 68317413376 76631922792 76857090048 77696255053 77924549632 87665118336 102175897056 102476120064 114947884188 115285635072 116886824448 131497677504 131884056576 136234529408 153263845584 153714180096 155392510106 155849099264 175330236672 204351794112 204952240128 229895768376 230571270144 233088765159 233773648896 262995355008 272469058816 306527691168 307428360192 310785020212 311698198528 350660473344 408703588224 459791536752 461142540288 466177530318 467547297792 525990710016 544938117632 613055382336 614856720384 621570040424 623396397056 699266295477 701320946688 817407176448 919583073504 922285080576 932355060636 935094595584 1051981420032 1089876235264 1226110764672 1243140080848 1246792794112 1398532590954 1402641893376 1634814352896 1839166147008 1844570161152 1864710121272 1870189191168 2097798886431 2103962840064 2179752470528 2452221529344 2486280161696 2493585588224 2797065181908 2805283786752 3269628705792 3678332294016 3729420242544 3740378382336 4195597772862 4207925680128 4359504941056 4904443058688 4972560323392 4987171176448 5594130363816 5610567573504 6539257411584 7356664588032 7458840485088 7480756764672 8391195545724 8415851360256 8719009882112 9808886117376 9945120646784 11188260727632 11221135147008 13078514823168 14713329176064 14917680970176 14961513529344 16782391091448 16831702720512 17438019764224 19617772234752 19890241293568 22376521455264 22442270294016 26157029646336 29426658352128 29835361940352 33564782182896 33663405441024 34876039528448 39235544469504 39780482587136 44753042910528 44884540588032 52314059292672 58853316704256 59670723880704 67129564365792 67326810882048 69752079056896 78471088939008 79560965174272 89506085821056 104628118585344 117706633408512 119341447761408 134259128731584 134653621764096 156942177878016 159121930348544 179012171642112 209256237170688 235413266817024 238682895522816 268518257463168 313884355756032 318243860697088 358024343284224 470826533634048 477365791045632 537036514926336 627768711512064 636487721394176 716048686568448 941653067268096 954731582091264 1074073029852672 1272975442788352 1432097373136896 1883306134536192 1909463164182528 2148146059705344 2545950885576704 2864194746273792 3818926328365056 4296292119410688 5091901771153408 5728389492547584 7637852656730112 8592584238821376 11456778985095168 15275705313460224 17185168477642752 22913557970190336 34370336955285504 45827115940380672 68740673910571008 137481347821142016
- Sum of all divisors σ(n): 413333990100395840
- Sum of proper divisors (its aliquot sum) s(n): 275852642279253824
- 137481347821142016 is an abundant number, because the sum of its proper divisors (275852642279253824) is greater than itself. Its abundance is 138371294458111808
Bases of 137481347821142016
- Binary: 1111010000110111010001110101101000001111100000000000000002
- Hexadecimal: 0x1E86E8EB41F0000
- Base-36: 11LP2JA5HXC0
Squares and roots of 137481347821142016
- 137481347821142016 squared (1374813478211420162) is 18901120998717830550225314440544256
- 137481347821142016 cubed (1374813478211420163) is 2598551590234217218509820175942979681935254509060096
-
The
square root of 137481347821142016 is 370784772.9089505315 -
The
cube root of 137481347821142016 is 516116.7181596517
Scales and comparisons
How big is 137481347821142016?- 137,481,347,821,142,016 seconds is equal to 4,371,481,602 years, 51 weeks, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,481,347,821,142,016 would take you about thirteen billion, one hundred fourteen million, four hundred forty-four thousand, eight hundred eight 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 137481347821142016 cubic inches would be around 43009.7 feet tall.
Recreational maths with 137481347821142016
- 137481347821142016 backwards is 610241128743184731
- The number of decimal digits it has is: 18
- The sum of 137481347821142016's digits is 63
- More coming soon!
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The information we have on file for 137481347821142016 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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