137926482164652146688
137,926,482,164,652,146,688 is an even composite number composed of five prime numbers multiplied together.
What does the number 137926482164652146688 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
137926482164652146688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137926482164652146688:
215 × 32 × 31 × 149 × 101252849221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 31 × 149 × 101252849221)See below for interesting mathematical facts about the number 137926482164652146688 from the Numbermatics database.
Names of 137926482164652146688
- Cardinal: 137926482164652146688 can be written as One hundred thirty-seven quintillion, nine hundred twenty-six quadrillion, four hundred eighty-two trillion, one hundred sixty-four billion, six hundred fifty-two million, one hundred forty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.37926482164652146688 × 1020
Factors of 137926482164652146688
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 101252849406
Divisors of 137926482164652146688
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 149 186 192 248 256 279 288 298 372 384 447 496 512 558 576 596 744 768 894 992 1024 1116 1152 1192 1341 1488 1536 1788 1984 2048 2232 2304 2384 2682 2976 3072 3576 3968 4096 4464 4608 4619 4768 5364 5952 6144 7152 7936 8192 8928 9216 9238 9536 10728 11904 12288 13857 14304 15872 16384 17856 18432 18476 19072 21456 23808 24576 27714 28608 31744 32768 35712 36864 36952 38144 41571 42912 47616 49152 55428 57216 63488 71424 73728 73904 76288 83142 85824 95232 98304 110856 114432 126976 142848 147456 147808 152576 166284 171648 190464 221712 228864 253952 285696 294912 295616 305152 332568 343296 380928 443424 457728 507904 571392 591232 610304 665136 686592 761856 886848 915456 1015808 1142784 1182464 1220608 1330272 1373184 1523712 1773696 1830912 2285568 2364928 2441216 2660544 2746368 3047424 3547392 3661824 4571136 4729856 4882432 5321088 5492736 7094784 7323648 9142272 9459712 10642176 10985472 14189568 14647296 18919424 21284352 21970944 28379136 37838848 42568704 43941888 56758272 75677696 85137408 113516544 151355392 170274816 227033088 340549632 454066176 681099264 1362198528 101252849221 202505698442 303758547663 405011396884 607517095326 810022793768 911275642989 1215034190652 1620045587536 1822551285978 2430068381304 3138838325851 3240091175072 3645102571956 4860136762608 6277676651702 6480182350144 7290205143912 9416514977553 9720273525216 12555353303404 12960364700288 14580410287824 15086674533929 18833029955106 19440547050432 25110706606808 25920729400576 28249544932659 29160820575648 30173349067858 37666059910212 38881094100864 45260023601787 50221413213616 51841458801152 56499089865318 58321641151296 60346698135716 75332119820424 77762188201728 90520047203574 100442826427232 103682917602304 112998179730636 116643282302592 120693396271432 135780070805361 150664239640848 155524376403456 181040094407148 200885652854464 207365835204608 225996359461272 233286564605184 241386792542864 271560141610722 301328479281696 311048752806912 362080188814296 401771305708928 414731670409216 451992718922544 466573129210368 467686910551799 482773585085728 543120283221444 602656958563392 622097505613824 724160377628592 803542611417856 829463340818432 903985437845088 933146258420736 935373821103598 965547170171456 1086240566442888 1205313917126784 1244195011227648 1403060731655397 1448320755257184 1607085222835712 1658926681636864 1807970875690176 1866292516841472 1870747642207196 1931094340342912 2172481132885776 2410627834253568 2488390022455296 2806121463310794 2896641510514368 3214170445671424 3317853363273728 3615941751380352 3732585033682944 3741495284414392 3862188680685824 4209182194966191 4344962265771552 4821255668507136 4976780044910592 5612242926621588 5793283021028736 6428340891342848 7231883502760704 7465170067365888 7482990568828784 7724377361371648 8418364389932382 8689924531543104 9642511337014272 9953560089821184 11224485853243176 11586566042057472 12856681782685696 14463767005521408 14930340134731776 14965981137657568 15448754722743296 16836728779864764 17379849063086208 19285022674028544 22448971706486352 23173132084114944 25713363565371392 28927534011042816 29860680269463552 29931962275315136 30897509445486592 33673457559729528 34759698126172416 38570045348057088 44897943412972704 46346264168229888 51426727130742784 57855068022085632 59863924550630272 61795018890973184 67346915119459056 69519396252344832 77140090696114176 89795886825945408 92692528336459776 102853454261485568 115710136044171264 119727849101260544 123590037781946368 134693830238918112 139038792504689664 154280181392228352 179591773651890816 185385056672919552 231420272088342528 239455698202521088 247180075563892736 269387660477836224 278077585009379328 308560362784456704 359183547303781632 370770113345839104 462840544176685056 478911396405042176 494360151127785472 538775320955672448 556155170018758656 718367094607563264 741540226691678208 925681088353370112 957822792810084352 1077550641911344896 1112310340037517312 1436734189215126528 1483080453383356416 1915645585620168704 2155101283822689792 2224620680075034624 2873468378430253056 3831291171240337408 4310202567645379584 4449241360150069248 5746936756860506112 7662582342480674816 8620405135290759168 11493873513721012224 15325164684961349632 17240810270581518336 22987747027442024448 34481620541163036672 45975494054884048896 68963241082326073344 137926482164652146688
- Sum of all divisors σ(n): 414061781562859248000
- Sum of proper divisors (its aliquot sum) s(n): 276135299398207101312
- 137926482164652146688 is an abundant number, because the sum of its proper divisors (276135299398207101312) is greater than itself. Its abundance is 138208817233554954624
Bases of 137926482164652146688
- Binary: 11101111010000111010100110011000011010011110101011110000000000000002
- Hexadecimal: 0x77A1D4CC34F578000
- Base-36: T3WFDE0DVPJ40
Squares and roots of 137926482164652146688
- 137926482164652146688 squared (1379264821646521466882) is 19023714482316106719957912640966669369344
- 137926482164652146688 cubed (1379264821646521466883) is 2623874016250607239313295664271434554717510090928024738332672
-
The
square root of 137926482164652146688 is 11744210580.7351796943 -
The
cube root of 137926482164652146688 is 5166731.4217554573
Scales and comparisons
How big is 137926482164652146688?- 137,926,482,164,652,146,688 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,926,482,164,652,146,688 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137926482164652146688 cubic inches would be around 430561 feet tall.
Recreational maths with 137926482164652146688
- 137926482164652146688 backwards is 886641256461284629731
- The number of decimal digits it has is: 21
- The sum of 137926482164652146688's digits is 99
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137926482164652146688 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 137926482164652146688 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137926482164652146688/
Chicago style:
Numbermatics. 2024. "Number 137926482164652146688 - Facts about the integer". https://numbermatics.com/n/137926482164652146688/
The information we have on file for 137926482164652146688 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!
Keywords: Divisors of 137926482164652146688, math, Factors of 137926482164652146688, curriculum, school, college, exams, university, Prime factorization of 137926482164652146688, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, nine hundred twenty-six quadrillion, four hundred eighty-two trillion, one hundred sixty-four billion, six hundred fifty-two million, one hundred forty-six thousand, six hundred eighty-eight.