13688171716302858320
13,688,171,716,302,858,320 is an even composite number composed of eight prime numbers multiplied together.
13688171716302858320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 13688171716302858320:
24 × 5 × 7 × 13 × 17 × 73 × 487 × 3111095357
(2 × 2 × 2 × 2 × 5 × 7 × 13 × 17 × 73 × 487 × 3111095357)See below for interesting mathematical facts about the number 13688171716302858320 from the Numbermatics database.
Names of 13688171716302858320
- Cardinal: 13688171716302858320 can be written as Thirteen quintillion, six hundred eighty-eight quadrillion, one hundred seventy-one trillion, seven hundred sixteen billion, three hundred two million, eight hundred fifty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.368817171630285832 × 1019
Factors of 13688171716302858320
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 3111095961
Divisors of 13688171716302858320
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 73 80 85 91 104 112 119 130 136 140 146 170 182 208 221 238 260 272 280 292 340 364 365 442 455 476 487 511 520 560 584 595 680 728 730 884 910 949 952 974 1022 1040 1105 1168 1190 1241 1360 1456 1460 1547 1768 1820 1898 1904 1948 2044 2210 2380 2435 2482 2555 2920 3094 3409 3536 3640 3796 3896 4088 4420 4745 4760 4870 4964 5110 5840 6188 6205 6331 6643 6818 7280 7592 7735 7792 8176 8279 8687 8840 9490 9520 9740 9928 10220 12376 12410 12662 13286 13636 15184 15470 16133 16558 17045 17374 17680 18980 19480 19856 20440 24752 24820 25324 26572 27272 30940 31655 32266 33116 33215 34090 34748 35551 37960 38960 40880 41395 43435 44317 49640 50648 53144 54544 57953 61880 63310 64532 66232 66430 68180 69496 71102 75920 80665 82790 86870 88634 99280 101296 106288 107627 112931 115906 123760 126620 129064 132464 132860 136360 138992 142204 161330 165580 173740 177268 177755 215254 221585 225862 231812 248857 253240 258128 265720 272720 284408 289765 322660 331160 347480 354536 355510 430508 443170 451724 462163 463624 497714 506480 531440 538135 564655 568816 579530 604367 645320 662320 694960 709072 711020 753389 861016 886340 903448 924326 927248 995428 1076270 1129310 1159060 1208734 1244285 1290640 1422040 1506778 1722032 1772680 1806896 1848652 1990856 2152540 2258620 2310815 2318120 2417468 2488570 2844080 3013556 3021835 3235141 3545360 3697304 3766945 3981712 4230569 4305080 4517240 4621630 4636240 4834936 4977140 6027112 6043670 6470282 7394608 7533890 7856771 8461138 8610160 9034480 9243260 9669872 9954280 12054224 12087340 12940564 15067780 15713542 16175705 16922276 18486520 19908560 21152845 24174680 25881128 30135560 31427084 32351410 33844552 36973040 39283855 42305690 48349360 51762256 54997397 60271120 62854168 64702820 67689104 78567710 84611380 109994794 125708336 129405640 157135420 169222760 219989588 258811280 274986985 314270840 338445520 439979176 549973970 628541680 879958352 1099947940 2199895880 3111095357 4399791760 6222190714 12444381428 15555476785 21777667499 24888762856 31110953570 40444239641 43555334998 49777525712 52888621069 62221907140 80888479282 87110669996 105777242138 108888337495 124443814280 161776958564 174221339992 202221198205 211554484276 217776674990 227109961061 248887628560 264443105345 283109677487 323553917128 348442679984 370220347483 404442396410 423108968552 435553349980 454219922122 528886210690 566219354974 647107834256 687552073897 740440694966 808884792820 846217937104 871106699960 908439844244 1057772421380 1132438709948 1135549805305 1375104147794 1415548387435 1480881389932 1515103438859 1589769727427 1617769585640 1742213399920 1816879688488 1851101737415 2115544842760 2264877419896 2271099610610 2750208295588 2831096774870 2952429493793 2961762779864 3030206877718 3179539454854 3235539171280 3437760369485 3633759376976 3702203474830 3860869338037 4231089685520 4529754839792 4542199221220 4812864517279 5500416591176 5662193549740 5904858987586 5923525559728 6060413755436 6359078909708 6875520738970 7404406949660 7575517194295 7721738676074 7948848637135 9084398442440 9625729034558 10605724072013 11000833182352 11324387099480 11809717975172 12120827510872 12718157819416 13751041477940 14762147468965 14808813899320 15151034388590 15443477352148 15897697274270 18168796884880 19251458069116 19304346690185 19696344705167 20667006456551 21211448144026 22648774198960 23619435950344 24064322586395 24241655021744 25436315638832 25756758460603 27026085366259 27502082955880 29524294937930 29617627798640 30302068777180 30886954704296 31795394548540 38502916138232 38608693380370 39392689410334 41334012913102 42422896288052 47238871900688 48128645172790 50191301394481 51513516921206 53028620360065 54052170732518 55004165911760 59048589875860 60604137554360 61773909408592 63590789097080 77005832276464 77217386760740 78785378820668 82668025826204 84845792576104 96257290345580 98481723525835 100382602788962 103027033842412 103335032282755 106057240720130 108104341465036 110602551036707 118097179751720 121208275108720 127181578194160 128783792303015 135130426831295 137874412936169 154434773521480 157570757641336 165336051652408 169691585152208 180297309224221 192514580691160 196963447051670 200765205577924 206054067684824 206670064565510 212114481440260 216208682930072 221205102073414 236194359503440 250956506972405 257567584606030 270260853662590 275748825872338 308869547042960 315141515282672 330672103304816 334837859987839 351339109761367 360594618448442 385029161382320 393926894103340 401530411155848 412108135369648 413340129131020 424228962880520 432417365860144 442410204146828 501913013944810 515135169212060 540521707325180 551497651744676 553012755183535 669675719975678 689372064680845 702678219522734 721189236896884 774217857256949 787853788206680 803060822311696 826680258262040 848457925761040 884820408293656 901486546121105 1003826027889620 1030270338424120 1081043414650360 1102995303489352 1106025510367070 1339351439951356 1378744129361690 1405356439045468 1437833163477191 1442378473793768 1548435714513898 1575707576413360 1653360516524080 1674189299939195 1756695548806835 1769640816587312 1802973092242210 1880243367624019 2007652055779240 2060540676848240 2162086829300720 2205990606978704 2212051020734140 2343865019914873 2678702879902712 2757488258723380 2810712878090936 2875666326954382 2884756947587536 3096871429027796 3348378599878390 3513391097613670 3605946184484420 3760486735248038 3871089286284745 4015304111558480 4424102041468280 4687730039829746 5357405759805424 5514976517446760 5621425756181872 5751332653908764 6193742858055592 6696757199756780 7026782195227340 7189165817385955 7211892368968840 7520973470496076 7742178572569490 8848204082936560 9375460079659492 9401216838120095 10064832144340337 11029953034893520 11502665307817528 11719325099574365 12387485716111184 13161703573368133 13393514399513560 14053564390454680 14378331634771910 14423784737937680 15041946940992152 15484357145138980 18750920159318984 18802433676240190 20129664288680674 23005330615635056 23438650199148730 24443163779112247 26323407146736266 26787028799027120 28107128780909360 28756663269543820 30083893881984304 30968714290277960 37501840318637968 37604867352480380 40259328577361348 46877300398297460 48886327558224494 50324160721701685 52646814293472532 57513326539087640 61937428580555920 65808517866840665 75209734704960760 80518657154722696 93754600796594920 97772655116448988 100648321443403370 105293628586945064 115026653078175280 122215818895561235 131617035733681330 150419469409921520 161037314309445392 171102146453785729 187509201593189840 195545310232897976 201296642886806740 210587257173890128 244431637791122470 263234071467362660 342204292907571458 391090620465795952 402593285773613480 488863275582244940 526468142934725320 684408585815142916 805186571547226960 855510732268928645 977726551164489880 1052936285869450640 1368817171630285832 1711021464537857290 1955453102328979760 2737634343260571664 3422042929075714580 6844085858151429160 13688171716302858320
- Sum of all divisors σ(n): 42127756989022365696
- Sum of proper divisors (its aliquot sum) s(n): 28439585272719507376
- 13688171716302858320 is an abundant number, because the sum of its proper divisors (28439585272719507376) is greater than itself. Its abundance is 14751413556416649056
Bases of 13688171716302858320
- Binary: 10111101111101100010011110100111001001101100011111101000010100002
- Hexadecimal: 0xBDF627A726C7E850
- Base-36: 2VZV7WS1Y77M8
Squares and roots of 13688171716302858320
- 13688171716302858320 squared (136881717163028583202) is 187366044934993538035650277401993222400
- 13688171716302858320 cubed (136881717163028583203) is 2564698596874708971576414978941850732000879270387450368000
-
The
square root of 13688171716302858320 is 3699752926.3861469807 -
The
cube root of 13688171716302858320 is 2392113.6811227811
Scales and comparisons
How big is 13688171716302858320?- 13,688,171,716,302,858,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,688,171,716,302,858,320 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13688171716302858320 cubic inches would be around 199342.8 feet tall.
Recreational maths with 13688171716302858320
- 13688171716302858320 backwards is 02385820361717188631
- 13688171716302858320 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13688171716302858320's digits is 80
- More coming soon!
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The information we have on file for 13688171716302858320 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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