138293949623696460
138,293,949,623,696,460 is an even composite number composed of six prime numbers multiplied together.
138293949623696460 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138293949623696460:
22 × 35 × 5 × 11 × 29 × 89202336019
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 29 × 89202336019)See below for interesting mathematical facts about the number 138293949623696460 from the Numbermatics database.
Names of 138293949623696460
- Cardinal: 138293949623696460 can be written as One hundred thirty-eight quadrillion, two hundred ninety-three trillion, nine hundred forty-nine billion, six hundred twenty-three million, six hundred ninety-six thousand, four hundred sixty.
Scientific notation
- Scientific notation: 1.3829394962369646 × 1017
Factors of 138293949623696460
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 89202336069
Divisors of 138293949623696460
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 29 30 33 36 44 45 54 55 58 60 66 81 87 90 99 108 110 116 132 135 145 162 165 174 180 198 220 243 261 270 290 297 319 324 330 348 396 405 435 486 495 522 540 580 594 638 660 783 810 870 891 957 972 990 1044 1188 1215 1276 1305 1485 1566 1595 1620 1740 1782 1914 1980 2349 2430 2610 2673 2871 2970 3132 3190 3564 3828 3915 4455 4698 4785 4860 5220 5346 5742 5940 6380 7047 7830 8613 8910 9396 9570 10692 11484 11745 13365 14094 14355 15660 17226 17820 19140 23490 25839 26730 28188 28710 34452 35235 43065 46980 51678 53460 57420 70470 77517 86130 103356 129195 140940 155034 172260 258390 310068 387585 516780 775170 1550340 89202336019 178404672038 267607008057 356809344076 446011680095 535214016114 802821024171 892023360190 981225696209 1070428032228 1338035040285 1605642048342 1784046720380 1962451392418 2408463072513 2586867744551 2676070080570 2943677088627 3211284096684 3924902784836 4014105120855 4816926145026 4906128481045 5173735489102 5352140161140 5887354177254 7225389217539 7760603233653 8028210241710 8831031265881 9633852290052 9812256962090 10347470978204 11774708354508 12042315362565 12934338722755 14450778435078 14718385443135 15521206467306 16056420483420 17662062531762 19624513924180 21676167652617 23281809700959 24084630725130 25868677445510 26493093797643 28455545190061 28901556870156 29436770886270 31042412934612 35324125063524 36126946087695 38803016168265 43352335305234 44155156329405 46563619401918 48169261450260 51737354891020 52986187595286 56911090380122 58873541772540 69845429102877 72253892175390 77606032336530 79479281392929 85366635570183 86704670610468 88310312658810 93127238803836 105972375190572 108380838263085 113822180760244 116409048504795 132465468988215 139690858205754 142277725950305 144507784350780 155212064673060 158958562785858 170733271140366 176620625317620 209536287308631 216761676526170 232818097009590 238437844178787 256099906710549 264930937976430 279381716411508 284555451900610 317917125571716 341466542280732 349227145514385 397396406964645 419072574617262 426833177850915 433523353052340 465636194019180 476875688357574 512199813421098 529861875952860 569110903801220 628608861925893 698454291028770 768299720131647 794792813929290 838145149234524 853666355701830 953751376715148 1024399626842196 1047681436543155 1192189220893935 1257217723851786 1280499533552745 1396908582057540 1536599440263294 1589585627858580 1707332711403660 2095362873086310 2304899160394941 2384378441787870 2514435447703572 2560999067105490 3073198880526588 3143044309629465 3841498600658235 4190725746172620 4609798320789882 4768756883575740 5121998134210980 6286088619258930 6914697481184823 7682997201316470 9219596641579764 11524495801974705 12572177238517860 13829394962369646 15365994402632940 23048991603949410 27658789924739292 34573487405924115 46097983207898820 69146974811848230 138293949623696460
- Sum of all divisors σ(n): 490941112706553600
- Sum of proper divisors (its aliquot sum) s(n): 352647163082857140
- 138293949623696460 is an abundant number, because the sum of its proper divisors (352647163082857140) is greater than itself. Its abundance is 214353213459160680
Bases of 138293949623696460
- Binary: 1111010110101000110011101010011011110011111111100010011002
- Hexadecimal: 0x1EB519D4DE7FC4C
- Base-36: 11TP43E9ZCR0
Squares and roots of 138293949623696460
- 138293949623696460 squared (1382939496236964602) is 19125216502521494250438354216531600
- 138293949623696460 cubed (1382939496236964603) is 2644901727541995726630152023573711020365232398136000
-
The
square root of 138293949623696460 is 371878944.8512734229 -
The
cube root of 138293949623696460 is 517131.5801354095
Scales and comparisons
How big is 138293949623696460?- 138,293,949,623,696,460 seconds is equal to 4,397,319,826 years, 39 weeks, 3 days, 22 hours, 21 minutes.
-
To count from 1 to 138,293,949,623,696,460 would take you about thirteen billion, one hundred ninety-one million, nine hundred fifty-nine thousand, four hundred eighty 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 138293949623696460 cubic inches would be around 43094.3 feet tall.
Recreational maths with 138293949623696460
- 138293949623696460 backwards is 064696326949392831
- 138293949623696460 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138293949623696460's digits is 90
- 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 138293949623696460 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 138293949623696460 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138293949623696460/
Chicago style:
Numbermatics. 2024. "Number 138293949623696460 - Facts about the integer". https://numbermatics.com/n/138293949623696460/
The information we have on file for 138293949623696460 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 138293949623696460, math, Factors of 138293949623696460, curriculum, school, college, exams, university, Prime factorization of 138293949623696460, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred ninety-three trillion, nine hundred forty-nine billion, six hundred twenty-three million, six hundred ninety-six thousand, four hundred sixty.