13364157260972448
13,364,157,260,972,448 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13364157260972448 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13364157260972448 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13364157260972448:
25 × 33 × 72 × 43 × 409 × 919 × 19531
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 43 × 409 × 919 × 19531)See below for interesting mathematical facts about the number 13364157260972448 from the Numbermatics database.
Names of 13364157260972448
- Cardinal: 13364157260972448 can be written as Thirteen quadrillion, three hundred sixty-four trillion, one hundred fifty-seven billion, two hundred sixty million, nine hundred seventy-two thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.3364157260972448 × 1016
Factors of 13364157260972448
Divisors of 13364157260972448
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 63 72 84 86 96 98 108 112 126 129 144 147 168 172 189 196 216 224 252 258 288 294 301 336 344 378 387 392 409 432 441 504 516 588 602 672 688 756 774 784 818 864 882 903 919 1008 1032 1161 1176 1204 1227 1323 1376 1512 1548 1568 1636 1764 1806 1838 2016 2064 2107 2322 2352 2408 2454 2646 2709 2757 2863 3024 3096 3272 3528 3612 3676 3681 4128 4214 4644 4704 4816 4908 5292 5418 5514 5726 6048 6192 6321 6433 6544 7056 7224 7352 7362 8127 8271 8428 8589 9288 9632 9816 10584 10836 11028 11043 11452 12384 12642 12866 13088 14112 14448 14704 14724 16254 16542 16856 17178 17587 18576 18963 19299 19531 19632 20041 21168 21672 22056 22086 22904 24813 25284 25732 25767 28896 29408 29448 32508 33084 33712 34356 35174 37152 37926 38598 39062 39264 39517 40082 42336 43344 44112 44172 45031 45808 49626 50568 51464 51534 52761 56889 57897 58593 58896 60123 65016 66168 67424 68712 70348 75852 77196 77301 78124 79034 80164 86688 88224 88344 90062 91616 99252 101136 102928 103068 105522 113778 115794 117186 117792 118551 120246 123109 130032 132336 135093 136717 137424 140696 151704 154392 154602 156248 158068 158283 160328 173691 175779 176688 180124 180369 198504 202272 205856 206136 211044 227556 231588 234372 237102 240492 246218 260064 264672 270186 273434 274848 276619 281392 303408 308784 309204 312496 316136 316566 320656 347382 351558 353376 355653 360248 360738 369327 375871 397008 405279 410151 412272 422088 455112 463176 468744 474204 474849 480984 492436 527337 540372 541107 546868 553238 562784 606816 617568 618408 624992 632272 633132 641312 694764 703116 711306 720496 721476 738654 751742 794016 810558 820302 824544 829857 839833 844176 861763 910224 926352 937488 948408 949698 957019 961968 984872 1054674 1066959 1080744 1082214 1093736 1106476 1107981 1127613 1215837 1230453 1236816 1264544 1266264 1389528 1406232 1422612 1440992 1442952 1477308 1503484 1621116 1640604 1659714 1679666 1688352 1723526 1820448 1852704 1874976 1896816 1899396 1914038 1923936 1936333 1969744 2109348 2133918 2161488 2164428 2187472 2212952 2215962 2255226 2431674 2460906 2473632 2489571 2519499 2532528 2585289 2631097 2779056 2812464 2845224 2871057 2885904 2954616 3006968 3242232 3281208 3319428 3323943 3359332 3382839 3447052 3691359 3793632 3798792 3828076 3872666 3939488 4218696 4267836 4322976 4328856 4374944 4425904 4431924 4510452 4863348 4921812 4979142 5038998 5065056 5170578 5262194 5558112 5624928 5690448 5742114 5771808 5808999 5878831 5909232 6013936 6484464 6562416 6638856 6647886 6718664 6765678 6894104 7382718 7468713 7558497 7597584 7656152 7745332 7755867 7893291 7988179 8437392 8535672 8613171 8657712 8851808 8863848 9020904 9726696 9843624 9958284 10077996 10148517 10341156 10524388 11380896 11484228 11617998 11757662 11818464 12027872 12968928 13124832 13277712 13295772 13437328 13531356 13788208 14765436 14937426 15116994 15195168 15312304 15490664 15511734 15786582 15976358 16162453 16874784 17071344 17226342 17315424 17426997 17636493 17727696 17948989 18041808 18417679 19453392 19687248 19916568 20155992 20297034 20682312 21048776 22675491 22968456 23235996 23267601 23515324 23679873 23964537 25839513 26555424 26591544 26874656 27062712 27576416 29530872 29874852 30233988 30624608 30981328 31023468 31573164 31952716 32324906 34142688 34452684 34853994 35272986 35455392 35897978 36083616 36835358 38906784 39374496 39833136 40311984 40594068 41151817 41364624 42097552 45350982 45936912 46471992 46535202 47030648 47359746 47929074 48487359 51679026 52280991 52909479 53183088 53846967 54125424 55253037 55917253 59061744 59749704 60467976 61962656 62046936 63146328 63905432 64649812 68905368 69707988 70545972 71039619 71795956 71893611 73670716 79666272 80623968 81188136 82303634 82729248 84195104 90701964 91873824 92943984 93070404 94061296 94719492 95858148 96974718 103358052 104561982 105818958 106366176 107693934 108250848 110506074 111834506 113137171 118123488 119499408 120935952 123455451 124093872 125642923 126292656 127810864 129299624 137810736 139415976 141091944 142079238 143591912 143787222 145462077 147341432 158728437 161540901 162376272 164607268 165759111 167751759 181403928 185887968 186140808 188122592 189438984 191716296 193949436 206716104 209123964 211637916 215387868 215680833 221012148 223669012 226274342 238998816 241871904 246910902 248187744 251285846 252585312 255621728 258599248 275621472 278831952 282183888 284158476 287183824 287574444 290924154 294682864 317456874 323081802 324752544 329214536 331518222 335503518 339411513 343491697 362807856 370366353 372281616 376928769 378877968 383432592 387898872 391420771 413432208 418247928 423275832 430775736 431361666 436386231 442024296 447338024 452548684 484622703 493821804 497277333 502571692 503255277 517198496 557663904 564367776 568316952 574367648 575148888 581848308 589365728 634913748 646163604 658429072 663036444 671007036 678823026 686983394 725615712 740732706 744563232 753857538 757755936 766865184 771806527 775797744 782841542 791960197 826864416 836495856 846551664 861551472 862723332 872772462 879500461 884048592 894676048 905097368 969245406 987643608 994554666 1005143384 1006510554 1018234539 1030475091 1111099059 1130786307 1136633904 1150297776 1163696616 1174262313 1269827496 1292327208 1316858144 1326072888 1342014072 1357646052 1373966788 1481465412 1507715076 1509765831 1543613054 1551595488 1565683084 1583920394 1672991712 1693103328 1723102944 1725446664 1745544924 1759000922 1768097184 1789352096 1810194736 1938490812 1975287216 1989109332 2010286768 2013021108 2036469078 2060950182 2222198118 2261572614 2273267808 2300595552 2315419581 2327393232 2348524626 2375880591 2404441879 2539654992 2584654416 2638501383 2652145776 2684028144 2715292104 2747933576 2962930824 3015430152 3019531662 3054703617 3087226108 3091425273 3131366168 3167840788 3392358921 3450893328 3491089848 3518001844 3522786939 3620389472 3876981624 3950574432 3978218664 4020573536 4026042216 4072938156 4121900364 4444396236 4523145228 4630839162 4654786464 4697049252 4751761182 4808883758 5079309984 5169308832 5277002766 5304291552 5368056288 5402645689 5430584208 5495867152 5925861648 6030860304 6039063324 6109407234 6174452216 6182850546 6262732336 6335681576 6784717842 6901786656 6946258743 6982179696 7036003688 7045573878 7127641773 7213325637 7341136501 7753963248 7915504149 7956437328 8052084432 8145876312 8243800728 8888792472 9046290456 9261678324 9274275819 9394098504 9503522364 9617767516 10554005532 10568360817 10805291378 10861168416 10991734304 11851723296 12061720608 12078126648 12218814468 12348904432 12365701092 12525464672 12671363152 13569435684 13892517486 13964359392 14072007376 14091147756 14255283546 14426651274 14682273002 15507926496 15831008298 15912874656 16104168864 16207937067 16291752624 16487601456 16831093153 17777584944 18092580912 18523356648 18548551638 18788197008 19007044728 19235535032 20838776229 21108011064 21136721634 21382925319 21610582756 21639976911 22023409503 23746512447 24156253296 24437628936 24697808864 24731402184 25342726304 27138871368 27785034972 28144014752 28182295512 28510567092 28853302548 29364546004 31662016596 32415874134 32583505248 32975202912 33662186306 35555169888 36185161824 37046713296 37097103276 37576394016 37818519823 38014089456 38471070064 41677552458 42216022128 42273443268 42765850638 43221165512 43279953822 44046819006 47493024894 48312506592 48623811201 48875257872 49462804368 50493279459 51387955507 54277742736 55570069944 56364591024 57021134184 57706605096 58729092008 63324033192 64831748268 64919930733 66070228509 67324372612 74093426592 74194206552 75637039646 76028178912 76942140128 83355104916 84432044256 84546886536 85531701276 86442331024 86559907644 88093638012 94986049788 97247622402 97750515744 98925608736 100986558918 102775911014 108555485472 111140139888 112729182048 113455559469 114042268368 115413210192 117458184016 126648066384 129663496536 129839861466 132140457018 134648745224 145871433603 148388413104 151274079292 151479838377 154163866521 166710209832 169093773072 171063402552 172884662048 173119815288 176187276024 189972099576 194495244804 198210685527 201973117836 205551822028 222280279776 226911118938 228084536736 230826420384 234916368032 253296132768 259326993072 259679722932 264280914036 269297490448 291742867206 296776826208 302548158584 302959676754 308327733042 315668869543 333420419664 338187546144 340366678407 342126805104 346239630576 352374552048 359715688549 379944199152 388990489608 396421371054 403946235672 411103644056 453822237876 454439515131 462491599563 518653986144 519359445864 528561828072 538594980896 583485734412 605096317168 605919353508 616655466084 631337739086 666840839328 680733356814 684253610208 692479261152 704749104096 719431377098 759888398304 777980979216 792842742108 807892471344 822207288112 907644475752 908879030262 924983199126 947006608629 1021100035221 1038718891728 1057123656144 1079147065647 1166971468824 1210192634336 1211838707016 1233310932168 1262675478172 1361466713628 1387474798689 1438862754196 1555961958432 1585685484216 1615784942688 1644414576224 1815288951504 1817758060524 1849966398252 1894013217258 2042200070442 2077437783456 2114247312288 2158294131294 2209682086801 2333942937648 2423677414032 2466621864336 2525350956344 2722933427256 2774949597378 2841019825887 2877725508392 3171370968432 3237441196941 3630577903008 3635516121048 3699932796504 3788026434516 4084400140884 4316588262588 4419364173602 4667885875296 4847354828064 4933243728672 5050701912688 5445866854512 5549899194756 5682039651774 5755451016784 6342741936864 6474882393882 6629046260403 7271032242096 7399865593008 7576052869032 8168800281768 8523059477661 8633176525176 8838728347204 9712323590823 10101403825376 10891733709024 11099798389512 11364079303548 11510902033568 12949764787764 13258092520806 14542064484192 14799731186016 15152105738064 15467774607607 16337600563536 17046118955322 17266353050352 17677456694408 19424647181646 19887138781209 22199596779024 22728158607096 25899529575528 26516185041612 30304211476128 30935549215214 32675201127072 34092237910644 34532706100704 35354913388816 38849294363292 39774277562418 44399193558048 45456317214192 46403323822821 51799059151056 53032370083224 59661416343627 61871098430428 68184475821288 70709826777632 77698588726584 79548555124836 90912634428384 92806647645642 103598118302112 106064740166448 119322832687254 123742196860856 136368951642576 139209971468463 155397177453168 159097110249672 185613295291284 212129480332896 238645665374508 247484393721712 272737903285152 278419942936926 310794354906336 318194220499344 371226590582568 417629914405389 477291330749016 494968787443424 556839885873852 636388440998688 742453181165136 835259828810778 954582661498032 1113679771747704 1484906362330272 1670519657621556 1909165322996064 2227359543495408 3341039315243112 4454719086990816 6682078630486224 13364157260972448
- Sum of all divisors σ(n): 46563591723264000
- Sum of proper divisors (its aliquot sum) s(n): 33199434462291552
- 13364157260972448 is an abundant number, because the sum of its proper divisors (33199434462291552) is greater than itself. Its abundance is 19835277201319104
Bases of 13364157260972448
- Binary: 1011110111101010100001010101100100001101000001101000002
- Hexadecimal: 0x2F7AA1564341A0
- Base-36: 3NL7538V8O0
Squares and roots of 13364157260972448
- 13364157260972448 squared (133641572609724482) is 178600699296002603599290615112704
- 13364157260972448 cubed (133641572609724483) is 2386847832311429976699360944673231839916158779392
-
The
square root of 13364157260972448 is 115603448.3091765217 -
The
cube root of 13364157260972448 is 237308.8087056379
Scales and comparisons
How big is 13364157260972448?- 13,364,157,260,972,448 seconds is equal to 424,938,862 years, 44 weeks, 1 hour, 40 minutes, 48 seconds.
-
To count from 1 to 13,364,157,260,972,448 would take you about one billion, two hundred seventy-four million, eight hundred sixteen thousand, five hundred eighty-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 13364157260972448 cubic inches would be around 19775.7 feet tall.
Recreational maths with 13364157260972448
- 13364157260972448 backwards is 84427906275146331
- 13364157260972448 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13364157260972448's digits is 72
- 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 13364157260972448 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 13364157260972448 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/13364157260972448/
Chicago style:
Numbermatics. 2024. "Number 13364157260972448 - Facts about the integer". https://numbermatics.com/n/13364157260972448/
The information we have on file for 13364157260972448 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 13364157260972448, math, Factors of 13364157260972448, curriculum, school, college, exams, university, Prime factorization of 13364157260972448, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred sixty-four trillion, one hundred fifty-seven billion, two hundred sixty million, nine hundred seventy-two thousand, four hundred forty-eight.