13946083968960
13,946,083,968,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13946083968960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1120 divisors.
13946083968960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 13946083968960:
26 × 34 × 5 × 11 × 13 × 61 × 61681
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 61 × 61681)See below for interesting mathematical facts about the number 13946083968960 from the Numbermatics database.
Names of 13946083968960
- Cardinal: 13946083968960 can be written as Thirteen trillion, nine hundred forty-six billion, eighty-three million, nine hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.394608396896 × 1013
Factors of 13946083968960
Divisors of 13946083968960
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 61 64 65 66 72 78 80 81 88 90 96 99 104 108 110 117 120 122 130 132 135 143 144 156 160 162 165 176 180 183 192 195 198 208 216 220 234 240 244 260 264 270 286 288 297 305 312 320 324 330 351 352 360 366 390 396 405 416 429 432 440 468 480 488 495 520 528 540 549 572 576 585 594 610 624 648 660 671 702 704 715 720 732 780 792 793 810 832 858 864 880 891 915 936 960 976 990 1040 1053 1056 1080 1098 1144 1170 1188 1220 1248 1287 1296 1320 1342 1404 1430 1440 1464 1485 1560 1584 1586 1620 1647 1716 1728 1755 1760 1782 1830 1872 1952 1980 2013 2080 2106 2112 2145 2160 2196 2288 2340 2376 2379 2440 2496 2574 2592 2640 2684 2745 2808 2860 2880 2928 2970 3120 3168 3172 3240 3294 3355 3432 3510 3520 3564 3660 3744 3861 3904 3960 3965 4026 4160 4212 4290 4320 4392 4455 4576 4680 4752 4758 4880 4941 5148 5184 5265 5280 5368 5490 5616 5720 5856 5940 6039 6240 6336 6344 6435 6480 6588 6710 6864 7020 7128 7137 7320 7488 7722 7920 7930 8052 8235 8424 8580 8640 8723 8784 8910 9152 9360 9504 9516 9760 9882 10065 10296 10530 10560 10736 10980 11232 11440 11583 11712 11880 11895 12078 12480 12688 12870 12960 13176 13420 13728 14040 14256 14274 14640 15444 15840 15860 16104 16470 16848 17160 17446 17568 17820 18117 18720 19008 19032 19305 19520 19764 20130 20592 21060 21411 21472 21960 22464 22880 23166 23760 23790 24156 24705 25376 25740 25920 26169 26352 26840 27456 28080 28512 28548 29280 30195 30888 31680 31720 32208 32940 33696 34320 34892 35136 35640 35685 36234 37440 38064 38610 39528 40260 41184 42120 42822 42944 43615 43920 45760 46332 47520 47580 48312 49410 50752 51480 52338 52704 53680 54351 56160 57024 57096 57915 58560 60390 61681 61776 63440 64233 64416 65880 67392 68640 69784 71280 71370 72468 76128 77220 78507 79056 80520 82368 84240 85644 87230 87840 90585 92664 95040 95160 96624 98820 102960 104676 105408 107055 107360 108702 112320 114192 115830 120780 123362 123552 126880 128466 128832 130845 131760 137280 139568 142560 142740 144936 152256 154440 157014 158112 161040 168480 171288 174460 175680 181170 185043 185328 190320 193248 197640 205920 209352 214110 214720 217404 228384 231660 235521 241560 246724 247104 253760 256932 261690 263520 271755 279136 285120 285480 289872 308405 308880 314028 316224 321165 322080 336960 342576 348920 362340 370086 370656 380640 386496 392535 395280 411840 418704 428220 434808 456768 463320 471042 483120 493448 513864 523380 527040 543510 555129 558272 570960 579744 616810 617760 628056 642330 644160 678491 685152 697840 706563 724680 740172 741312 761280 785070 790560 801853 837408 856440 869616 925215 926640 942084 966240 986896 1027728 1046760 1087020 1110258 1141920 1159488 1177605 1233620 1235520 1256112 1284660 1356982 1370304 1395680 1413126 1449360 1480344 1570140 1581120 1603706 1665387 1674816 1712880 1739232 1850430 1853280 1884168 1932480 1973792 2035473 2055456 2093520 2174040 2220516 2283840 2355210 2405559 2467240 2512224 2569320 2713964 2775645 2791360 2826252 2898720 2960688 3140280 3207412 3330774 3392455 3425760 3478464 3532815 3700860 3706560 3762541 3768336 3947584 4009265 4070946 4110912 4187040 4348080 4441032 4710420 4811118 4934480 4996161 5024448 5138640 5427928 5551290 5652504 5797440 5921376 6106419 6280560 6414824 6661548 6784910 6851520 7065630 7216677 7401720 7525082 7536672 8018530 8141892 8326935 8374080 8696160 8820383 8882064 9420840 9622236 9868960 9992322 10177365 10277280 10855856 11102580 11287623 11305008 11842752 12027795 12212838 12561120 12829648 13323096 13569820 14131260 14433354 14803440 15050164 15073344 16037060 16283784 16653870 17392320 17640766 17764128 18319257 18812705 18841680 19244472 19737920 19984644 20354730 20554560 21650031 21711712 22205160 22575246 22610016 24055590 24425676 24980805 25122240 25659296 26461149 26646192 27139640 28262520 28866708 29606880 30100328 30532095 32074120 32567568 33307740 33862869 35281532 35528256 36083385 36638514 37625410 37683360 38488944 39969288 40709460 41387951 43300062 43423424 44101915 44410320 45150492 45220032 48111180 48851352 48913033 49961610 51318592 52922298 53292384 54279280 54957771 56438115 56525040 57733416 59213760 60200656 61064190 64148240 64950093 65135136 66615480 67725738 70563064 72166770 73277028 75250820 75366720 76977888 79383447 79938576 81418920 82775902 86600124 88203830 88820640 90300984 91596285 96222360 97702704 97826066 99923220 101588607 105844596 106584768 108250155 108558560 109915542 112876230 113050080 115466832 120401312 122128380 124163853 128296480 129900186 130270272 132305745 133230960 135451476 141126128 144333540 146554056 146739099 150501640 153955776 158766894 159877152 162837840 165551804 169314345 173200248 176407660 177641280 180601968 183192570 192444720 195405408 195652132 199846440 203177214 206939755 211689192 216500310 217117120 219831084 225752460 226100160 230933664 238150341 240802624 244256760 244565165 248327706 256592960 259800372 264611490 266461920 270902952 274788855 282252256 288667080 293108112 293478198 301003280 304765821 317533788 319754304 324750465 325675680 331103608 338628690 346400496 352815320 361203936 366385140 372491559 384889440 390810816 391304264 396917235 399692880 406354428 413879510 423378384 433000620 439662168 440217297 451504920 461867328 476300682 488513520 489130330 496655412 507943035 519600744 529222980 532923840 538043363 541805904 549577710 564504512 577334160 586216224 586956396 602006560 609531642 620819265 635067576 649500930 651351360 662207216 677257380 692800992 705630640 714451023 722407872 732770280 733695495 744983118 769778880 782608528 793834470 799385760 812708856 827759020 846756768 866001240 879324336 880434594 903009840 952601364 977027040 978260660 993310824 1015886070 1039201488 1058445960 1076086726 1083611808 1099155420 1117474677 1154668320 1172432448 1173912792 1190751705 1204013120 1219063284 1241638530 1270135152 1299001860 1320651891 1324414432 1354514760 1385601984 1411261280 1428902046 1465540560 1467390990 1489966236 1523829105 1565217056 1587668940 1598771520 1614130089 1625417712 1655518040 1693513536 1732002480 1758648672 1760869188 1806019680 1862457795 1905202728 1954054080 1956521320 1986621648 2031772140 2078402976 2116891920 2152173452 2167223616 2198310840 2201086485 2234949354 2309336640 2347825584 2381503410 2438126568 2483277060 2540270304 2598003720 2641303782 2648828864 2690216815 2709029520 2822522560 2857804092 2931081120 2934781980 2979932472 3047658210 3130434112 3175337880 3228260178 3250835424 3311036080 3352424031 3464004960 3517297344 3521738376 3572255115 3612039360 3724915590 3810405456 3913042640 3961955673 3973243296 4063544280 4156805952 4233783840 4304346904 4396621680 4402172970 4469898708 4695651168 4763006820 4842390267 4876253136 4966554120 5080540608 5196007440 5282607564 5380433630 5418059040 5587373385 5715608184 5862162240 5869563960 5959864944 6095316420 6350675760 6456520356 6501670848 6603259455 6622072160 6704848062 6928009920 7043476752 7144510230 7449831180 7620810912 7826085280 7923911346 7946486592 8070650445 8127088560 8467567680 8608693808 8793243360 8804345940 8939797416 9391302336 9526013640 9684780534 9752506272 9933108240 10392014880 10565215128 10760867260 10836118080 11174746770 11431216368 11739127920 11919729888 12190632840 12701351520 12913040712 13206518910 13244144320 13409696124 14086953504 14289020460 14527170801 14899662360 15241621824 15652170560 15847822692 16141300890 16254177120 16762120155 17217387616 17586486720 17608691880 17879594832 19052027280 19369561068 19505012544 19809778365 19866216480 20784029760 21130430256 21521734520 22349493540 22862432736 23478255840 23839459776 24211951335 24381265680 25402703040 25826081424 26413037820 26819392248 28173907008 28578040920 29054341602 29799324720 31695645384 32282601780 32508354240 33524240310 34434775232 35217383760 35759189664 38104054560 38739122136 39619556730 39732432960 42260860512 43043469040 43581512403 44698987080 45724865472 46956511680 48423902670 48762531360 51652162848 52826075640 53638784496 57156081840 58108683204 59598649440 63391290768 64565203560 67048480620 70434767520 71518379328 72635854005 76208109120 77478244272 79239113460 84521721024 86086938080 87163024806 89397974160 96847805340 97525062720 103304325696 105652151280 107277568992 114312163680 116217366408 119197298880 126782581536 129130407120 134096961240 140869535040 145271708010 154956488544 158478226920 172173876160 174326049612 178795948320 193695610680 211304302560 214555137984 217907562015 228624327360 232434732816 253565163072 258260814240 268193922480 290543416020 309912977088 316956453840 348652099224 357591896640 387391221360 422608605120 435815124030 464869465632 516521628480 536387844960 581086832040 633912907680 697304198448 774782442720 871630248060 929738931264 1072775689920 1162173664080 1267825815360 1394608396896 1549564885440 1743260496120 2324347328160 2789216793792 3486520992240 4648694656320 6973041984480 13946083968960
- Sum of all divisors σ(n): 59237914405824
- Sum of proper divisors (its aliquot sum) s(n): 45291830436864
- 13946083968960 is an abundant number, because the sum of its proper divisors (45291830436864) is greater than itself. Its abundance is 31345746467904
Bases of 13946083968960
- Binary: 110010101111000100110110000110000111110000002
- Hexadecimal: 0xCAF136187C0
- Base-36: 4XYQQBG00
Squares and roots of 13946083968960
- 13946083968960 squared (139460839689602) is 194493258069283106243481600
- 13946083968960 cubed (139460839689603) is 2712419308430829288981971228256731136000
-
The
square root of 13946083968960 is 3734445.6039631905 -
The
cube root of 13946083968960 is 24070.4434808747
Scales and comparisons
How big is 13946083968960?- 13,946,083,968,960 seconds is equal to 443,442 years, 17 weeks, 1 day, 21 hours, 36 minutes.
-
To count from 1 to 13,946,083,968,960 would take you about one million, one hundred eight thousand, six hundred five 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 13946083968960 cubic inches would be around 2005.9 feet tall.
Recreational maths with 13946083968960
- 13946083968960 backwards is 06986938064931
- 13946083968960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13946083968960's digits is 72
- More coming soon!
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The information we have on file for 13946083968960 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!
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