138309297947625
138,309,297,947,625 is an odd composite number composed of seven prime numbers multiplied together.
138309297947625 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138309297947625:
3 × 53 × 72 × 292 × 31 × 61 × 4733
(3 × 5 × 5 × 5 × 7 × 7 × 29 × 29 × 31 × 61 × 4733)See below for interesting mathematical facts about the number 138309297947625 from the Numbermatics database.
Names of 138309297947625
- Cardinal: 138309297947625 can be written as One hundred thirty-eight trillion, three hundred nine billion, two hundred ninety-seven million, nine hundred forty-seven thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38309297947625 × 1014
Factors of 138309297947625
Divisors of 138309297947625
- Number of divisors d(n): 576
-
Complete list of divisors:
1 3 5 7 15 21 25 29 31 35 49 61 75 87 93 105 125 145 147 155 175 183 203 217 245 305 375 427 435 465 525 609 651 725 735 775 841 875 899 915 1015 1085 1225 1281 1421 1519 1525 1769 1891 2135 2175 2325 2523 2625 2697 2989 3045 3255 3625 3675 3875 4205 4263 4495 4557 4575 4733 5075 5307 5425 5673 5887 6125 6293 6405 7105 7595 7625 8845 8967 9455 10675 10875 11625 12383 12615 13237 13485 14199 14945 15225 16275 17661 18375 18879 21025 21315 22475 22785 22875 23665 25375 26071 26535 27125 28365 29435 31465 32025 33131 35525 37149 37975 39711 41209 44051 44225 44835 47275 51301 53375 54839 61915 63075 66185 67425 70995 74725 76125 78213 81375 86681 88305 92659 94395 99393 105125 106575 112375 113925 118325 123627 130355 132153 132675 137257 141825 146723 147175 153903 157325 160125 164517 165655 177625 182497 185745 189875 198555 206045 220255 221125 224175 231917 236375 256505 260043 274195 277977 288713 309575 315375 330925 337125 354975 359107 373625 383873 391065 411771 433405 440169 441525 463295 471975 496965 532875 547491 569625 591625 618135 651775 660765 663375 686285 695751 709125 733615 735875 769515 786625 822585 828275 866139 912485 928725 960799 992775 1027061 1030225 1077321 1101275 1120875 1151619 1159585 1277479 1282525 1300215 1370975 1389885 1443565 1547875 1590331 1654625 1774875 1795535 1919365 1955325 2020991 2058855 2167025 2200845 2207625 2316475 2359875 2484825 2513749 2687111 2737455 2882397 3081183 3090675 3258875 3303825 3431425 3478755 3668075 3832437 3847575 3980453 4112925 4141375 4254967 4330695 4562425 4643625 4770993 4803995 4963875 5135305 5151125 5386605 5506375 5758095 5797925 6062973 6387395 6412625 6501075 6725593 6854875 6949425 7189427 7217825 7541247 7951655 8061333 8372677 8950103 8977675 9596825 9776625 10104955 10294275 10835125 11004225 11132317 11582375 11941359 12424125 12568745 12764901 13435555 13687275 14146937 14411985 15405915 15453375 16519125 17157125 17393775 18340375 19162185 19237875 19902265 20176779 20564625 21274835 21568281 21653475 22812125 23854965 24019975 25118031 25676525 26850309 26933025 27863171 28790475 28989625 29784769 30314865 31936975 32505375 33396951 33627965 34747125 35947135 36089125 37706235 39758275 40306665 41863385 42440811 44750515 44888375 47984125 50524775 51471375 55021125 55661585 58608739 59706795 62650721 62843725 63824505 67177775 68436375 70734685 72059925 77029575 77926219 83589513 86968875 89354307 95810925 99511325 100883895 106374175 107841405 108267375 119274825 120099875 123394043 125590155 128382625 134251545 134665125 139315855 143952375 148923845 151574325 159684875 166984755 168139825 175826217 179735675 187952163 188531175 195042197 198791375 201533325 208493383 209316925 212204055 223752575 233778657 242807633 252623875 259552987 278307925 293043695 298533975 313253605 314218625 319122525 335888875 353673425 360299625 370182129 385147875 389631095 410261173 417947565 438555047 446771535 479054625 497556625 504419475 531870875 539207025 585126591 596374125 616970215 625480149 627950775 671257725 696579275 728422899 744619225 757871625 778658961 834923775 840699125 863758301 879131085 898678375 939760815 942655875 975210985 1007666625 1042466915 1046584625 1061020275 1118762875 1168893285 1214038165 1230783519 1297764935 1315665141 1391539625 1465218475 1492669875 1566268025 1595612625 1699653431 1768367125 1816870909 1850910645 1948155475 2051305865 2089737825 2192775235 2233857675 2522097375 2591274903 2696035125 2925632955 3084851075 3127400745 3139753875 3356288625 3482896375 3642114495 3723096125 3893294805 4174618875 4318791505 4395655425 4698804075 4876054925 5098960293 5212334575 5305101375 5450612727 5844466425 6046308107 6070190825 6153917595 6488824675 6578325705 7326092375 7527036623 7831340125 8498267155 9084354545 9254553225 9740777375 10256529325 10448689125 10963876175 11169288375 11897574017 12718096363 12956374515 14628164775 15424255375 15637003725 18138924321 18210572475 19466474025 21593957525 21978277125 22581109869 23494020375 24380274625 25494801465 26061672875 27253063635 29222332125 30231540535 30350954125 30769587975 32444123375 32891628525 35692722051 37635183115 38154289089 42491335775 45421772725 46272766125 51282646625 52689256361 54819380875 59487870085 63590481815 64781872575 73140823875 78185018625 90694621605 91052862375 97332370125 107969787625 112905549345 127474007325 136265318175 151157702675 153847939875 158067769083 164458142625 178463610255 188175915575 190771445445 212456678875 227108863625 263446281805 297439350425 317952409075 323909362875 368824794527 453473108025 564527746725 637370036625 681326590875 755788513375 790338845415 892318051275 940879577875 953857227225 1106474383581 1317231409025 1487196752125 1589762045375 1844123972635 2267365540125 2822638733625 3951694227075 4461590256375 4769286136125 5532371917905 6586157045125 9220619863175 19758471135375 27661859589525 46103099315875 138309297947625
- Sum of all divisors σ(n): 290969536186368
- Sum of proper divisors (its aliquot sum) s(n): 152660238238743
- 138309297947625 is an abundant number, because the sum of its proper divisors (152660238238743) is greater than itself. Its abundance is 14350940291118
Bases of 138309297947625
- Binary: 111110111001010101001001001001011000011111010012
- Hexadecimal: 0x7DCAA492C3E9
- Base-36: 1D0YEWYH9L
Squares and roots of 138309297947625
- 138309297947625 squared (1383092979476252) is 19129461898764905037243140625
- 138309297947625 cubed (1383092979476253) is 2645782445334015515789950733833421759765625
-
The
square root of 138309297947625 is 11760497.3512018189 -
The
cube root of 138309297947625 is 51715.0710423747
Scales and comparisons
How big is 138309297947625?- 138,309,297,947,625 seconds is equal to 4,397,807 years, 44 weeks, 3 days, 13 hours, 53 minutes, 45 seconds.
-
To count from 1 to 138,309,297,947,625 would take you about ten million, nine hundred ninety-four thousand, five hundred nineteen 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 138309297947625 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138309297947625
- 138309297947625 backwards is 526749792903831
- 138309297947625 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138309297947625's digits is 75
- 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 138309297947625 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 138309297947625 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138309297947625/
Chicago style:
Numbermatics. 2024. "Number 138309297947625 - Facts about the integer". https://numbermatics.com/n/138309297947625/
The information we have on file for 138309297947625 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 138309297947625, math, Factors of 138309297947625, curriculum, school, college, exams, university, Prime factorization of 138309297947625, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred nine billion, two hundred ninety-seven million, nine hundred forty-seven thousand, six hundred twenty-five.