13038359845121325
13,038,359,845,121,325 is an odd composite number composed of six prime numbers multiplied together.
What does the number 13038359845121325 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13038359845121325 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13038359845121325:
35 × 52 × 112 × 13 × 433 × 1312
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 43 × 43 × 43 × 131 × 131)See below for interesting mathematical facts about the number 13038359845121325 from the Numbermatics database.
Names of 13038359845121325
- Cardinal: 13038359845121325 can be written as Thirteen quadrillion, thirty-eight trillion, three hundred fifty-nine billion, eight hundred forty-five million, one hundred twenty-one thousand, three hundred twenty-five.
Scientific notation
- Scientific notation: 1.3038359845121325 × 1016
Factors of 13038359845121325
Divisors of 13038359845121325
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 3 5 9 11 13 15 25 27 33 39 43 45 55 65 75 81 99 117 121 129 131 135 143 165 195 215 225 243 275 297 325 351 363 387 393 405 429 473 495 559 585 605 645 655 675 715 825 891 975 1053 1075 1089 1161 1179 1215 1287 1419 1441 1485 1573 1677 1703 1755 1815 1849 1935 1965 2025 2145 2365 2475 2673 2795 2925 3025 3159 3225 3267 3275 3483 3537 3575 3861 4257 4323 4455 4719 5031 5109 5203 5265 5445 5547 5633 5805 5895 6075 6149 6435 7095 7205 7425 7865 8385 8515 8775 9075 9245 9675 9801 9825 10449 10611 10725 11583 11825 12771 12969 13365 13975 14157 15093 15327 15609 15795 15851 16335 16641 16899 17161 17415 17685 18447 18733 19305 20339 21285 21615 22275 23595 24037 25155 25545 26015 26325 27225 27735 28165 29025 29403 29475 30745 31833 32175 34749 35475 36025 38313 38907 39325 41925 42471 42575 45279 45981 46225 46827 47553 49005 49923 50697 51483 52245 53055 55341 56199 57915 61017 61963 63855 64845 66825 67639 70785 72111 73229 75465 76635 78045 78975 79255 79507 81675 83205 84495 85805 87075 88425 92235 93665 96525 101695 106425 108075 114939 116721 117975 120185 125775 127413 127725 130075 135837 137943 138675 140481 140825 142659 147015 149769 152091 153725 154449 159165 166023 168597 173745 183051 185889 188771 191565 194535 202917 206063 212355 216333 219687 223093 223729 226395 229905 234135 237765 238521 242219 245025 249615 253485 257415 261225 264407 265275 276705 280995 289575 305085 309815 319275 324225 338195 350163 353925 360555 366145 377325 382239 383175 390225 396275 397535 413829 416025 421443 422475 427977 429025 449307 456273 461175 463347 468325 498069 505791 508475 549153 557667 566313 574695 583605 600925 608751 618189 637065 648999 659061 669279 671187 679185 681593 689715 702405 713295 715563 726657 735075 737923 748845 760455 772245 793221 795825 805519 830115 842985 868725 874577 915255 929445 943855 957825 972675 1014585 1030315 1033591 1061775 1081665 1098435 1115465 1118645 1131975 1149525 1170675 1188825 1192605 1211095 1248075 1264329 1267425 1283931 1287075 1322035 1368819 1383525 1390041 1404975 1494207 1517373 1525425 1549075 1647459 1673001 1690975 1698939 1750815 1802775 1826253 1830725 1854567 1911195 1946997 1977183 1987675 2007837 2013561 2044779 2069145 2076481 2107215 2139885 2146689 2179971 2213769 2246535 2281365 2316735 2379663 2416557 2454023 2490345 2528955 2623731 2664409 2745765 2788335 2831565 2873475 2908477 2918025 3043755 3090945 3100773 3148847 3185325 3244995 3295305 3346395 3355935 3395925 3407965 3448575 3512025 3566475 3577815 3633285 3689615 3744225 3802275 3851793 3861225 3966105 4027595 4150575 4170123 4214925 4372885 4552119 4576275 4647225 4719275 4942377 5019003 5072925 5096817 5151575 5167955 5408325 5478759 5492175 5563701 5577325 5593225 5840991 5931549 5963025 6023511 6040683 6055475 6134337 6229443 6321645 6419655 6440067 6539913 6610175 6641307 6844095 6950205 7138989 7249671 7362069 7471035 7586865 7871193 7993227 8117153 8237295 8365005 8494695 8725431 8754075 8860709 9131265 9272835 9302319 9446541 9555975 9592999 9620347 9734985 9885915 10039185 10067805 10223895 10345725 10382405 10415417 10536075 10699425 10733445 10899855 11068845 11232675 11369501 11406825 11583675 11898315 12082785 12270115 12451725 12644775 13118655 13322045 13728825 13941675 14157825 14542385 15057009 15218775 15290451 15454725 15503865 15744235 16224975 16436277 16476525 16691103 16731975 16779675 17039825 17794647 17889075 18070533 18122049 18166425 18403011 18448075 18688329 19258965 19320201 19619739 19830525 19923921 20137975 20850615 21416967 21749013 21864425 22086207 22760595 23613579 23979681 24351459 24711885 25095015 25484085 25839775 26176293 26582127 26994253 27393795 27818505 27906957 28339623 28778997 28861041 29204955 29308499 29657745 30117555 30203415 30671685 31147215 31246251 31608225 31730689 32098275 32200335 32699565 33206535 34108503 34220475 34637317 34751025 35694945 36248355 36810345 37355175 37934325 39355965 39966135 40585765 41186475 41825025 42473475 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51436415745 52233879555 53212365453 53828807175 54663362325 54837170505 55687359195 56711945565 57591200535 58277468925 58443608025 59349710475 60269861025 61398883215 63273658275 64254645225 67023208395 68062327905 69069718575 70140566925 71228017575 75043079485 77334471225 78533455275 81917254705 84418544925 84816131697 85727359575 87056465925 88687275755 91395284175 92585548341 92812265325 94020983199 94519909275 95985334225 100237246551 102081502017 102331472025 103664160963 108485749845 110517989787 111705347325 113437213175 120641775111 122512190229 128210431635 135077543073 139202048205 141360219495 147451058469 149737121391 151953380865 154309247235 156701638665 159637096359 163990086975 164511511515 165094774867 167062077585 170135836695 172773601605 178049131425 180809583075 184196649645 192763935675 195112006661 201069625185 204186983715 210421700775 213684052725 225129238455 232003413675 235600365825 245751764115 249561868985 253255634775 257182078725 261169397775 266061827265 274185852525 278436795975 282062949597 283559727825 287956002675 306244506051 306994416075 310992482889 331553969361 335116041975 340311639525 361925325333 367536570687 375215397425 405232629219 409586273525 424080658485 442353175407 443436378775 449211364173 462927741705 470104915995 478911289077 495284324601 501186232755 510407510085 518320804815 542428749225 552589948935 585336019983 603208875555 612560951145 641052158175 675387715365 696010241025 706801097475 737255292345 748685606955 759766904325 771546236175 783508193325 798185481795 822557557575 825473874335 835310387925 850679183475 863868008025 920983248225 932977448667 975560033305 1005348125925 1020934918575 1102609712061 1125646192275 1215697887657 1228758820575 1247809344925 1327059526221 1330309136325 1347634092519 1410314747985 1436733867231 1485852973803 1531222530255 1554962414445 1657769846805 1756008059949 1809626626665 1837682853435 2026163146095 2120403292425 2146232073271 2211765877035 2246056820865 2314638708525 2350524579975 2394556445385 2476421623005 2505931163775 2552037550425 2591604024075 2762949744675 2926680099915 3016044377775 3062804755725 3376938576825 3647093662971 3686276461725 3743428034775 3981178578663 3990927408975 4042902277557 4127369371675 4310201601693 4457558921409 4664887243335 4877800166525 5268024179847 5513048560305 6078489438285 6438696219813 6635297631105 6738170462595 7051573739925 7183669336155 7429264869015 7656112651275 7774812072225 8288849234025 8780040299745 9048133133325 9188414267175 10130815730475 10731160366355 11058829385175 11230284104325 11972782226925 12128706832671 12382108115025 13372676764227 14633400499575 15804072539541 18235468314855 19316088659439 19905892893315 20214511387785 21551008008465 22287794607045 23324436216675 26340120899235 27565242801525 30392447191425 32193481099065 33176488155525 33690852312975 35918346680775 37146324345075 40118030292681 43900201498725 47412217618623 53655801831775 57948265978317 60643534163355 66863383821135 79020362697705 91177341574275 96580443297195 99529464466575 101072556938925 107755040042325 111438973035225 131700604496175 160967405495325 173844797934951 200590151463405 237061088093115 289741329891585 303217670816775 334316919105675 395101813488525 482902216485975 521534393804853 869223989674755 1002950757317025 1185305440465575 1448706649457925 2607671969024265 4346119948373775 13038359845121325
- Sum of all divisors σ(n): 29575868083361600
- Sum of proper divisors (its aliquot sum) s(n): 16537508238240275
- 13038359845121325 is an abundant number, because the sum of its proper divisors (16537508238240275) is greater than itself. Its abundance is 3499148393118950
Bases of 13038359845121325
- Binary: 1011100101001001010001101101110000010110101101001011012
- Hexadecimal: 0x2E5251B705AD2D
- Base-36: 3KDPNTNB5T9
Squares and roots of 13038359845121325
- 13038359845121325 squared (130383598451213252) is 169998827450872182041403969755625
- 13038359845121325 cubed (130383598451213253) is 2216505885553160676296648714171508799508726203125
-
The
square root of 13038359845121325 is 114185637.6481794009 -
The
cube root of 13038359845121325 is 235364.5156009843
Scales and comparisons
How big is 13038359845121325?- 13,038,359,845,121,325 seconds is equal to 414,579,512 years, 40 weeks, 3 days, 20 hours, 48 minutes, 45 seconds.
-
To count from 1 to 13,038,359,845,121,325 would take you about one billion, two hundred forty-three million, seven hundred thirty-eight thousand, five hundred thirty-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 13038359845121325 cubic inches would be around 19613.7 feet tall.
Recreational maths with 13038359845121325
- 13038359845121325 backwards is 52312154895383031
- The number of decimal digits it has is: 17
- The sum of 13038359845121325's digits is 63
- More coming soon!
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"Number 13038359845121325 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13038359845121325 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13038359845121325/
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Numbermatics. 2024. "Number 13038359845121325 - Facts about the integer". https://numbermatics.com/n/13038359845121325/
The information we have on file for 13038359845121325 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 13038359845121325, math, Factors of 13038359845121325, curriculum, school, college, exams, university, Prime factorization of 13038359845121325, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, thirty-eight trillion, three hundred fifty-nine billion, eight hundred forty-five million, one hundred twenty-one thousand, three hundred twenty-five.