13768445334600
13,768,445,334,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13768445334600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
13768445334600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13768445334600:
23 × 34 × 52 × 11 × 61 × 73 × 17351
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 61 × 73 × 17351)See below for interesting mathematical facts about the number 13768445334600 from the Numbermatics database.
Names of 13768445334600
- Cardinal: 13768445334600 can be written as Thirteen trillion, seven hundred sixty-eight billion, four hundred forty-five million, three hundred thirty-four thousand, six hundred.
Scientific notation
- Scientific notation: 1.37684453346 × 1013
Factors of 13768445334600
Divisors of 13768445334600
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 27 30 33 36 40 44 45 50 54 55 60 61 66 72 73 75 81 88 90 99 100 108 110 120 122 132 135 146 150 162 165 180 183 198 200 216 219 220 225 244 264 270 275 292 297 300 305 324 330 360 365 366 396 405 438 440 450 488 495 540 549 550 584 594 600 610 648 657 660 671 675 730 732 792 803 810 825 876 891 900 915 990 1080 1095 1098 1100 1188 1220 1314 1320 1342 1350 1460 1464 1485 1525 1606 1620 1647 1650 1752 1782 1800 1825 1830 1971 1980 2013 2025 2190 2196 2200 2376 2409 2440 2475 2628 2684 2700 2745 2920 2970 3050 3212 3240 3285 3294 3300 3355 3564 3650 3660 3942 3960 4015 4026 4050 4380 4392 4453 4455 4575 4818 4941 4950 5256 5368 5400 5475 5490 5913 5940 6039 6100 6424 6570 6588 6600 6710 7128 7227 7300 7320 7425 7884 8030 8052 8100 8235 8760 8906 8910 9150 9636 9855 9882 9900 10065 10950 10980 11826 11880 12045 12078 12200 13140 13176 13359 13420 13725 14454 14600 14850 15768 16060 16104 16200 16425 16470 16775 17351 17812 17820 18117 18300 19272 19710 19764 19800 20075 20130 21681 21900 21960 22265 22275 23652 24090 24156 24705 26280 26718 26840 27450 28908 29565 29700 30195 32120 32850 32940 33550 34702 35624 35640 36135 36234 36600 39420 39528 40077 40150 40260 41175 43362 43800 44530 44550 47304 48180 48312 48983 49275 49410 50325 52053 53436 54351 54900 57816 59130 59400 60225 60390 65043 65700 65880 66795 67100 69404 72270 72468 78840 80154 80300 80520 82350 86724 86755 89060 89100 90585 96360 97966 98550 98820 100650 104106 106872 108405 108702 109800 111325 118260 120231 120450 120780 123525 130086 131400 133590 134200 138808 144540 144936 146949 147825 150975 156159 160308 160600 164700 173448 173510 178120 178200 180675 181170 190861 195932 197100 197640 200385 201300 208212 216810 217404 222650 236520 240462 240900 241560 244915 247050 260172 260265 267180 271755 289080 293898 295650 301950 312318 320616 325215 329400 333975 347020 360693 361350 362340 381722 391864 394200 400770 402600 416424 433620 433775 434808 440847 445300 452925 468477 480924 481800 489830 494100 520344 520530 534360 542025 543510 572583 587796 591300 601155 603900 624636 650430 667950 694040 721386 722700 724680 734745 763444 780795 801540 867240 867550 881694 890600 905850 936954 954305 961848 979660 988200 1001925 1041060 1058411 1084050 1087020 1145166 1175592 1182600 1202310 1207800 1224575 1249272 1266623 1300860 1301325 1322541 1335900 1358775 1405431 1442772 1445400 1469490 1526888 1561590 1603080 1626075 1717749 1735100 1763388 1803465 1811700 1873908 1908610 1959320 2003850 2082120 2116822 2168100 2174040 2204235 2290332 2342385 2404620 2449150 2533246 2601720 2602650 2645082 2671800 2717550 2810862 2862915 2885544 2938980 3005775 3123180 3175233 3252150 3435498 3470200 3526776 3606930 3623400 3673725 3747816 3799869 3817220 3903975 3967623 4007700 4233644 4336200 4408470 4580664 4684770 4771525 4809240 4898300 5066492 5153247 5205300 5290164 5292055 5435100 5621724 5725830 5877960 6011550 6246360 6333115 6350466 6504300 6612705 6870996 7027155 7213860 7347450 7599738 7634440 7807950 7935246 8015400 8467288 8588745 8816940 9017325 9369540 9525699 9543050 9796600 10132984 10306494 10410600 10580328 10584110 10870200 11021175 11243448 11399607 11451660 11642521 11711925 12023100 12666230 12700932 13008600 13225410 13741992 13932853 14054310 14314575 14427720 14694900 15199476 15459741 15615900 15870492 15876165 17177490 17633880 18034650 18739080 18999345 19051398 19086100 19838115 20612988 21168220 22042350 22799214 22903320 23285042 23423850 24046200 25332460 25401864 25766235 26450820 26460275 27865706 28108620 28577097 28629150 29389800 30398952 30919482 31231800 31665575 31740984 31752330 33063525 34198821 34354980 34927563 35135775 36069300 37998690 38102796 38172200 39676230 41225976 41798559 42336440 42943725 44084700 45598428 46570084 46847700 47628495 50664920 51532470 52901640 52920550 55731412 56217240 56998035 57154194 57258300 58212605 61838964 63331150 63504660 66127050 68397642 68709960 69664265 69855126 70271550 72138600 75997380 76205592 77264003 77298705 79352460 79380825 83597118 85731291 85887450 88169400 91196856 93140168 93695400 94996725 95256990 99190575 102596463 103064940 104782689 105841100 111462824 113996070 114308388 114516600 116425210 123677928 125395677 126662300 127009320 128831175 132254100 136795284 139328530 139710252 140543100 142885485 151994760 154528006 154597410 158704920 158761650 167194236 170994105 171462582 171774900 174637815 189993450 190513980 198381150 205192926 206129880 208992795 209565378 211682200 227992140 228616776 231792009 232850420 238142475 250791354 253324600 257662350 264508200 273590568 278657060 279420504 281086200 284990175 285770970 291063025 309056012 309194820 314348067 317523300 334388472 341988210 342925164 343549800 348321325 349275630 376187031 379986900 381027960 386320015 386493525 396762300 410385852 417985590 419130756 428656455 455984280 463584018 465700840 476284950 501582708 512982315 515324700 523913445 557314120 569980350 571541940 582126050 618112024 618389640 626978385 628696134 635046600 683976420 685850328 695376027 696642650 698551260 714427425 752374062 759973800 772640030 772987050 793524600 820771704 835971180 838261512 849904033 854970525 857312910 873189075 927168036 943044201 952569900 1003165416 1025964630 1030649400 1044963975 1047826890 1128561093 1139960700 1143083880 1158960045 1164252100 1253956770 1257392268 1367952840 1390752054 1393285300 1397102520 1428854850 1504748124 1545280060 1545974100 1571740335 1671942360 1699808066 1709941050 1714625820 1746378150 1854336072 1880935155 1886088402 1905139800 1931600075 2051929260 2086128081 2089927950 2095653780 2143282275 2257122186 2279921400 2317920090 2328504200 2507913540 2514784536 2549712099 2564911575 2619567225 2781504108 2786570600 2857709700 3009496248 3090560120 3091948200 3134891925 3143480670 3399616132 3419882100 3429251640 3476880135 3492756300 3761870310 3772176804 3863200150 4103858520 4172256162 4179855900 4191307560 4249520165 4286564550 4514244372 4635840180 4715221005 5015827080 5099424198 5129823150 5239134450 5563008216 5642805465 5715419400 5794800225 6258384243 6269783850 6286961340 6799232264 6839764200 6953760270 6985512600 7523740620 7544353608 7649136297 7726400300 7858701675 8344512324 8359711800 8499040330 8573129100 9028488744 9271680360 9404675775 9430442010 10198848396 10259646300 10430640405 10478268900 11285610930 11589600450 12516768486 12539567700 12573922680 12748560495 13907520540 15047481240 15298272594 15452800600 15717403350 16689024648 16998080660 17146258200 17384400675 18809351550 18860884020 20397696792 20519292600 20861280810 20956537800 21247600825 22571221860 22947408891 23179200900 23576105025 25033536972 25079135400 25497120990 27815041080 28214027325 30596545188 31291921215 31434806700 33996161320 34768801350 37618703100 37721768040 38245681485 41722561620 42495201650 45142443720 45894817782 46358401800 47152210050 50067073944 50994241980 52153202025 56428054650 61193090376 62583842430 62869613400 63742802475 68842226673 69537602700 75237406200 76491362970 83445123240 84990403300 91789635564 94304420100 101988483960 104306404050 112856109300 114737044455 125167684860 127485604950 137684453346 139075205400 152982725940 156459606075 169980806600 183579271128 188608840200 191228407425 208612808100 225712218600 229474088910 250335369720 254971209900 275368906692 305965451880 312919212150 344211133365 382456814850 417225616200 458948177820 509942419800 550737813384 573685222275 625838424300 688422266730 764913629700 917896355640 1147370444550 1251676848600 1376844533460 1529827259400 1721055666825 2294740889100 2753689066920 3442111333650 4589481778200 6884222667300 13768445334600
- Sum of all divisors σ(n): 53751738775680
- Sum of proper divisors (its aliquot sum) s(n): 39983293441080
- 13768445334600 is an abundant number, because the sum of its proper divisors (39983293441080) is greater than itself. Its abundance is 26214848106480
Bases of 13768445334600
- Binary: 110010000101101101110100101100010100010010002
- Hexadecimal: 0xC85B74B1448
- Base-36: 4VP4WV0I0
Squares and roots of 13768445334600
- 13768445334600 squared (137684453346002) is 189570086931868505957160000
- 13768445334600 cubed (137684453346003) is 2610085378996801358906531909465736000000
-
The
square root of 13768445334600 is 3710585.5783959491 -
The
cube root of 13768445334600 is 23967.8071461897
Scales and comparisons
How big is 13768445334600?- 13,768,445,334,600 seconds is equal to 437,793 years, 50 weeks, 4 days, 4 hours, 30 minutes.
-
To count from 1 to 13,768,445,334,600 would take you about one million, ninety-four thousand, four hundred eighty-four 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 13768445334600 cubic inches would be around 1997.3 feet tall.
Recreational maths with 13768445334600
- 13768445334600 backwards is 00643354486731
- 13768445334600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13768445334600's digits is 54
- 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 13768445334600 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
APA style:
Numbermatics. (2024). Number 13768445334600 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/13768445334600/
Chicago style:
Numbermatics. 2024. "Number 13768445334600 - Facts about the integer". https://numbermatics.com/n/13768445334600/
The information we have on file for 13768445334600 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 13768445334600, math, Factors of 13768445334600, curriculum, school, college, exams, university, Prime factorization of 13768445334600, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, seven hundred sixty-eight billion, four hundred forty-five million, three hundred thirty-four thousand, six hundred.