13680286645585920
13,680,286,645,585,920 is an even composite number composed of six prime numbers multiplied together.
13680286645585920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13680286645585920:
211 × 3 × 5 × 412 × 6072 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 41 × 41 × 607 × 607 × 719)See below for interesting mathematical facts about the number 13680286645585920 from the Numbermatics database.
Names of 13680286645585920
- Cardinal: 13680286645585920 can be written as Thirteen quadrillion, six hundred eighty trillion, two hundred eighty-six billion, six hundred forty-five million, five hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.368028664558592 × 1016
Factors of 13680286645585920
Divisors of 13680286645585920
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 512 607 615 640 656 719 768 820 960 984 1024 1214 1230 1280 1312 1438 1536 1640 1681 1821 1920 1968 2048 2157 2428 2460 2560 2624 2876 3035 3072 3280 3362 3595 3642 3840 3936 4314 4856 4920 5043 5120 5248 5752 6070 6144 6560 6724 7190 7284 7680 7872 8405 8628 9105 9712 9840 10086 10240 10496 10785 11504 12140 13120 13448 14380 14568 15360 15744 16810 17256 18210 19424 19680 20172 20992 21570 23008 24280 24887 25215 26240 26896 28760 29136 29479 30720 31488 33620 34512 36420 38848 39360 40344 41984 43140 46016 48560 49774 50430 52480 53792 57520 58272 58958 62976 67240 69024 72840 74661 77696 78720 80688 83968 86280 88437 92032 97120 99548 100860 104960 107584 115040 116544 117916 124435 125952 134480 138048 145680 147395 149322 155392 157440 161376 172560 176874 184064 194240 199096 201720 209920 215168 230080 233088 235832 248870 251904 268960 276096 291360 294790 298644 310784 314880 322752 345120 353748 368128 368449 373305 388480 398192 403440 419840 430336 436433 442185 460160 466176 471664 497740 537920 552192 582720 589580 597288 621568 629760 645504 690240 707496 736256 736898 746610 776960 796384 806880 860672 872866 884370 920320 932352 943328 995480 1020367 1075840 1104384 1105347 1165440 1179160 1194576 1208639 1243136 1259520 1291008 1309299 1380480 1414992 1472512 1473796 1493220 1553920 1592768 1613760 1721344 1745732 1768740 1840640 1842245 1864704 1886656 1990960 2040734 2151680 2182165 2208768 2210694 2330880 2358320 2389152 2417278 2582016 2618598 2760960 2829984 2947592 2986440 3061101 3107840 3185536 3227520 3442688 3491464 3537480 3625917 3681280 3684490 3729408 3773312 3981920 4081468 4303360 4364330 4417536 4421388 4661760 4716640 4778304 4834556 5101835 5164032 5237196 5521920 5526735 5659968 5895184 5972880 6043195 6122202 6215680 6371072 6455040 6546495 6982928 7074960 7251834 7362560 7368980 7546624 7963840 8162936 8606720 8728660 8842776 9323520 9433280 9556608 9669112 10203670 10328064 10474392 11043840 11053470 11319936 11790368 11945760 12086390 12244404 12742144 12910080 13092990 13965856 14149920 14503668 14737960 15093248 15106409 15305505 15927680 16325872 17213440 17457320 17685552 17893753 18129585 18647040 18866560 19113216 19338224 20407340 20948784 22087680 22106940 22639872 23580736 23891520 24172780 24488808 25484288 25820160 26185980 27931712 28299840 29007336 29475920 30186496 30212818 30611010 31855360 32651744 34914640 35371104 35787506 36259170 37733120 38226432 38676448 40814680 41897568 44213880 45279744 45319227 47161472 47783040 48345560 48977616 50968576 51640320 52371960 53681259 55863424 56599680 58014672 58951840 60372992 60425636 61222020 63710720 65303488 69829280 70742208 71575012 72518340 75466240 75532045 76452864 77352896 81629360 83795136 88427760 89468765 90559488 90638454 94322944 95566080 96691120 97955232 104743920 107362518 111726848 113199360 116029344 117903680 120851272 122444040 127421440 130606976 139658560 141484416 143150024 145036680 150932480 151064090 152905728 154705792 163258720 167590272 176855520 178937530 181118976 181276908 188645888 191132160 193382240 195910464 209487840 214725036 223453696 226398720 226596135 232058688 235807360 241702544 244888080 254842880 261213952 264914831 268406295 279317120 282968832 286300048 290073360 301864960 302128180 309411584 326517440 335180544 353711040 357875060 362553816 377291776 382264320 386764480 391820928 418975680 429450072 446907392 452797440 453192270 464117376 471614720 483405088 489776160 522427904 529829662 536812590 558634240 565937664 572600096 580146720 604256360 618823168 619362769 653034880 670361088 707422080 715750120 725107632 733643873 754583552 764528640 773528960 783641856 794744493 837951360 858900144 893814784 905594880 906384540 928234752 943229440 966810176 979552320 1044855808 1059659324 1073625180 1117268480 1131875328 1145200192 1160293440 1208512720 1237646336 1238725538 1306069760 1324574155 1340722176 1414844160 1431500240 1450215264 1467287746 1547057920 1567283712 1589488986 1675902720 1717800288 1812769080 1856469504 1858088307 1886458880 1933620352 1959104640 2089711616 2119318648 2147250360 2200931619 2234536960 2263750656 2290400384 2320586880 2417025440 2475292672 2477451076 2612139520 2649148310 2681444352 2829688320 2863000480 2900430528 2934575492 3094115840 3096813845 3134567424 3178977972 3351805440 3435600576 3625538160 3668219365 3712939008 3716176614 3772917760 3867240704 3918209280 3973722465 4238637296 4294500720 4401863238 4469073920 4580800768 4641173760 4834050880 4954902152 5224279040 5298296620 5659376640 5726000960 5800861056 5869150984 6188231680 6193627690 6269134848 6357955944 6703610880 6871201152 7251076320 7336438730 7425878016 7432353228 7734481408 7836418560 7947444930 8477274592 8589001440 8803726476 9161601536 9282347520 9290441535 9668101760 9909804304 10448558080 10596593240 10861508071 11004658095 11318753280 11452001920 11601722112 11738301968 12376463360 12387255380 12715911888 13407221760 13742402304 14502152640 14672877460 14864706456 15468962816 15672837120 15894889860 16954549184 17178002880 17607452952 18323203072 18564695040 18580883070 19336203520 19819608608 21193186480 21723016142 22009316190 22904003840 23203444224 23476603936 24774510760 25431823776 27484804608 29004305280 29345754920 29729412912 30937925632 31345674240 31789779720 32584524213 33909098368 34356005760 35214905904 36646406144 37129390080 37161766140 38672407040 39639217216 42386372960 43446032284 44018632380 45808007680 46406888448 46953207872 49549021520 50863647552 54307540355 54969609216 58008610560 58691509840 59458825824 63579559440 65169048426 67818196736 68712011520 70429811808 74323532280 77344814080 79278434432 84772745920 86892064568 88037264760 91616015360 92813776896 93906415744 99098043040 101727295104 108615080710 109939218432 116017221120 117383019680 118917651648 127159118880 130338096852 135636393472 137424023040 140859623616 148647064560 154689628160 158556868864 162922621065 169545491840 173784129136 176074529520 183232030720 187812831488 198196086080 203454590208 217230161420 232034442240 234766039360 237835303296 254318237760 260676193704 271272786944 274848046080 281719247232 297294129120 317113737728 325845242130 339090983680 347568258272 352149059040 375625662976 396392172160 406909180416 434460322840 445321830911 464068884480 469532078720 475670606592 508636475520 521352387408 542545573888 549696092160 563438494464 594588258240 634227475456 651690484260 678181967360 695136516544 704298118080 751251325952 792784344320 813818360832 868920645680 890643661822 939064157440 951341213184 1017272951040 1042704774816 1126876988928 1189176516480 1268454950912 1303380968520 1335965492733 1356363934720 1390273033088 1408596236160 1502502651904 1585568688640 1627636721664 1737841291360 1781287323644 1878128314880 1902682426368 2034545902080 2085409549632 2226609154555 2253753977856 2378353032960 2606761937040 2671930985466 2712727869440 2780546066176 2817192472320 3171137377280 3475682582720 3562574647288 3756256629760 3805364852736 4069091804160 4170819099264 4453218309110 4507507955712 4756706065920 5213523874080 5343861970932 5561092132352 5634384944640 6342274754560 6679827463665 6951365165440 7125149294576 7512513259520 8138183608320 8341638198528 8906436618220 9513412131840 10427047748160 10687723941864 11122184264704 11268769889280 13359654927330 13902730330880 14250298589152 16683276397056 17812873236440 19026824263680 20854095496320 21375447883728 22244368529408 22537539778560 26719309854660 27805460661760 28500597178304 33366552794112 35625746472880 41708190992640 42750895767456 53438619709320 55610921323520 57001194356608 66733105588224 71251492945760 83416381985280 85501791534912 106877239418640 111221842647040 114002388713216 142502985891520 166832763970560 171003583069824 213754478837280 228004777426432 285005971783040 333665527941120 342007166139648 427508957674560 456009554852864 570011943566080 684014332279296 855017915349120 912019109705728 1140023887132160 1368028664558592 1710035830698240 2280047774264320 2736057329117184 3420071661396480 4560095548528640 6840143322792960 13680286645585920
- Sum of all divisors σ(n): 44996254946697600
- Sum of proper divisors (its aliquot sum) s(n): 31315968301111680
- 13680286645585920 is an abundant number, because the sum of its proper divisors (31315968301111680) is greater than itself. Its abundance is 17635681655525760
Bases of 13680286645585920
- Binary: 1100001001101000100101111100011110111110001000000000002
- Hexadecimal: 0x309A25F1EF8800
- Base-36: 3QP98XA8X6O
Squares and roots of 13680286645585920
- 13680286645585920 squared (136802866455859202) is 187150242705396463127420102246400
- 13680286645585920 cubed (136802866455859203) is 2560268966000798974158226053741578405636210688000
-
The
square root of 13680286645585920 is 116962757.5153130527 -
The
cube root of 13680286645585920 is 239165.4267235997
Scales and comparisons
How big is 13680286645585920?- 13,680,286,645,585,920 seconds is equal to 434,990,799 years, 22 weeks, 13 hours, 52 minutes.
-
To count from 1 to 13,680,286,645,585,920 would take you about one billion, three hundred four million, nine hundred seventy-two thousand, three hundred ninety-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 13680286645585920 cubic inches would be around 19930.5 feet tall.
Recreational maths with 13680286645585920
- 13680286645585920 backwards is 02958554668208631
- The number of decimal digits it has is: 17
- The sum of 13680286645585920's digits is 78
- More coming soon!
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The information we have on file for 13680286645585920 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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