13725983915138880
13,725,983,915,138,880 is an even composite number composed of six prime numbers multiplied together.
What does the number 13725983915138880 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 504 divisors.
13725983915138880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 13725983915138880:
26 × 32 × 5 × 72 × 11 × 8842238659
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 8842238659)See below for interesting mathematical facts about the number 13725983915138880 from the Numbermatics database.
Names of 13725983915138880
- Cardinal: 13725983915138880 can be written as Thirteen quadrillion, seven hundred twenty-five trillion, nine hundred eighty-three billion, nine hundred fifteen million, one hundred thirty-eight thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.372598391513888 × 1016
Factors of 13725983915138880
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 8842238687
Divisors of 13725983915138880
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 49 55 56 60 63 64 66 70 72 77 80 84 88 90 96 98 99 105 110 112 120 126 132 140 144 147 154 160 165 168 176 180 192 196 198 210 220 224 231 240 245 252 264 280 288 294 308 315 320 330 336 352 360 385 392 396 420 440 441 448 462 480 490 495 504 528 539 560 576 588 616 630 660 672 693 704 720 735 770 784 792 840 880 882 924 960 980 990 1008 1056 1078 1120 1155 1176 1232 1260 1320 1344 1386 1440 1470 1540 1568 1584 1617 1680 1760 1764 1848 1960 1980 2016 2112 2156 2205 2240 2310 2352 2464 2520 2640 2695 2772 2880 2940 3080 3136 3168 3234 3360 3465 3520 3528 3696 3920 3960 4032 4312 4410 4620 4704 4851 4928 5040 5280 5390 5544 5880 6160 6336 6468 6720 6930 7056 7392 7840 7920 8085 8624 8820 9240 9408 9702 10080 10560 10780 11088 11760 12320 12936 13860 14112 14784 15680 15840 16170 17248 17640 18480 19404 20160 21560 22176 23520 24255 24640 25872 27720 28224 31680 32340 34496 35280 36960 38808 43120 44352 47040 48510 51744 55440 64680 70560 73920 77616 86240 97020 103488 110880 129360 141120 155232 172480 194040 221760 258720 310464 388080 517440 776160 1552320 8842238659 17684477318 26526715977 35368954636 44211193295 53053431954 61895670613 70737909272 79580147931 88422386590 97264625249 106106863908 123791341226 132633579885 141475818544 159160295862 176844773180 185687011839 194529250498 212213727816 247582682452 265267159770 282951637088 291793875747 309478353065 318320591724 353689546360 371374023678 389058500996 397900739655 424427455632 433269694291 486323126245 495165364904 530534319540 557061035517 565903274176 583587751494 618956706130 636641183448 680852376743 707379092720 742748047356 778117001992 795801479310 848854911264 866539388582 875381627241 928435059195 972646252490 990330729808 1061068639080 1114122071034 1167175502988 1237913412260 1273282366896 1299809082873 1361704753486 1414758185440 1458969378735 1485496094712 1556234003984 1591602958620 1697709822528 1733078777164 1750763254482 1856870118390 1945292504980 1980661459616 2042557130229 2122137278160 2166348471455 2228244142068 2334351005976 2475826824520 2546564733792 2599618165746 2723409506972 2785305177585 2829516370880 2917938757470 2970992189424 3112468007968 3183205917240 3404261883715 3466157554328 3501526508964 3713740236780 3890585009960 3899427248619 3961322919232 4085114260458 4244274556320 4332696942910 4376908136205 4456488284136 4668702011952 4765966637201 4951653649040 5093129467584 5199236331492 5446819013944 5570610355170 5835877514940 5941984378848 6127671390687 6224936015936 6366411834480 6499045414365 6808523767430 6932315108656 7003053017928 7427480473560 7781170019920 7798854497238 8170228520916 8488549112640 8665393885820 8753816272410 8912976568272 9337404023904 9531933274402 9903307298080 10212785651145 10398472662984 10893638027888 11141220710340 11671755029880 11883968757696 12255342781374 12732823668960 12998090828730 13617047534860 13864630217312 14006106035856 14297899911603 14854960947120 15562340039840 15597708994476 16340457041832 17330787771640 17507632544820 17825953136544 18674808047808 19063866548804 19497136243095 19806614596160 20425571302290 20796945325968 21787276055776 22282441420680 23343510059760 23829833186005 24510685562748 25465647337920 25996181657460 27234095069720 27729260434624 28012212071712 28595799823206 29709921894240 30638356953435 31124680079680 31195417988952 32680914083664 34661575543280 35015265089640 35651906273088 38127733097608 38994272486190 40851142604580 41593890651936 42893699734809 43574552111552 44564882841360 46687020119520 47659666372010 49021371125496 51992363314920 54468190139440 56024424143424 57191599646412 59419843788480 61276713906870 62390835977904 65361828167328 69323151086560 70030530179280 71489499558015 76255466195216 77988544972380 81702285209160 83187781303872 85787399469618 89129765682720 93374040239040 95319332744020 98042742250992 103984726629840 108936380278880 114383199292824 122553427813740 124781671955808 130723656334656 138646302173120 140061060358560 142978999116030 152510932390432 155977089944760 163404570418320 171574798939236 178259531365440 190638665488040 196085484501984 207969453259680 214468498674045 217872760557760 228766398585648 245106855627480 249563343911616 280122120717120 285957998232060 305021864780864 311954179889520 326809140836640 343149597878472 381277330976080 392170969003968 415938906519360 428936997348090 457532797171296 490213711254960 571915996464120 623908359779040 653618281673280 686299195756944 762554661952160 857873994696180 915065594342592 980427422509920 1143831992928240 1247816719558080 1372598391513888 1525109323904320 1715747989392360 1960854845019840 2287663985856480 2745196783027776 3431495978784720 4575327971712960 6862991957569440 13725983915138880
- Sum of all divisors σ(n): 59912391857516640
- Sum of proper divisors (its aliquot sum) s(n): 46186407942377760
- 13725983915138880 is an abundant number, because the sum of its proper divisors (46186407942377760) is greater than itself. Its abundance is 32460424027238880
Bases of 13725983915138880
- Binary: 1100001100001110110101101010110111010001011111010000002
- Hexadecimal: 0x30C3B5AB745F40
- Base-36: 3R5GDYKO5S0
Squares and roots of 13725983915138880
- 13725983915138880 squared (137259839151388802) is 188402634438651256517249687654400
- 13725983915138880 cubed (137259839151388803) is 2586011529874717559121148019288184115597443072000
-
The
square root of 13725983915138880 is 117157944.3108271679 -
The
cube root of 13725983915138880 is 239431.4313909181
Scales and comparisons
How big is 13725983915138880?- 13,725,983,915,138,880 seconds is equal to 436,443,831 years, 12 weeks, 5 days, 8 hours, 48 minutes.
-
To count from 1 to 13,725,983,915,138,880 would take you about one billion, three hundred nine million, three hundred thirty-one thousand, four hundred ninety-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 13725983915138880 cubic inches would be around 19952.6 feet tall.
Recreational maths with 13725983915138880
- 13725983915138880 backwards is 08883151938952731
- The number of decimal digits it has is: 17
- The sum of 13725983915138880's digits is 81
- 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 13725983915138880 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 13725983915138880 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13725983915138880/
Chicago style:
Numbermatics. 2024. "Number 13725983915138880 - Facts about the integer". https://numbermatics.com/n/13725983915138880/
The information we have on file for 13725983915138880 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 13725983915138880, math, Factors of 13725983915138880, curriculum, school, college, exams, university, Prime factorization of 13725983915138880, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred twenty-five trillion, nine hundred eighty-three billion, nine hundred fifteen million, one hundred thirty-eight thousand, eight hundred eighty.