13346903906709121440
13,346,903,906,709,121,440 is an even composite number composed of five prime numbers multiplied together.
13346903906709121440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 13346903906709121440:
25 × 32 × 5 × 472 × 1276
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 47 × 47 × 127 × 127 × 127 × 127 × 127 × 127)See below for interesting mathematical facts about the number 13346903906709121440 from the Numbermatics database.
Names of 13346903906709121440
- Cardinal: 13346903906709121440 can be written as Thirteen quintillion, three hundred forty-six quadrillion, nine hundred three trillion, nine hundred six billion, seven hundred nine million, one hundred twenty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.334690390670912144 × 1019
Factors of 13346903906709121440
Divisors of 13346903906709121440
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 127 141 144 160 180 188 235 240 254 282 288 360 376 381 423 470 480 508 564 635 705 720 752 762 846 940 1016 1128 1143 1270 1410 1440 1504 1524 1692 1880 1905 2032 2115 2209 2256 2286 2540 2820 3048 3384 3760 3810 4064 4230 4418 4512 4572 5080 5640 5715 5969 6096 6627 6768 7520 7620 8460 8836 9144 10160 11045 11280 11430 11938 12192 13254 13536 15240 16129 16920 17672 17907 18288 19881 20320 22090 22560 22860 23876 26508 29845 30480 32258 33135 33840 35344 35814 36576 39762 44180 45720 47752 48387 53016 53721 59690 60960 64516 66270 67680 70688 71628 79524 80645 88360 89535 91440 95504 96774 99405 106032 107442 119380 129032 132540 143256 145161 159048 161290 176720 179070 182880 191008 193548 198810 212064 214884 238760 241935 258064 265080 268605 280543 286512 290322 318096 322580 353440 358140 387096 397620 429768 477520 483870 516128 530160 537210 561086 573024 580644 636192 645160 716280 725805 758063 774192 795240 841629 859536 955040 967740 1060320 1074420 1122172 1161288 1290320 1402715 1432560 1451610 1516126 1548384 1590480 1683258 1719072 1935480 2048383 2148840 2244344 2274189 2322576 2524887 2580640 2805430 2865120 2903220 3032252 3180960 3366516 3790315 3870960 4096766 4208145 4297680 4488688 4548378 4645152 5049774 5610860 5806440 6064504 6145149 6733032 6822567 7580630 7741920 8193532 8416290 8595360 8977376 9096756 10099548 10241915 11221720 11370945 11612880 12129008 12290298 12624435 13466064 13645134 15161260 16387064 16832580 18193512 18435447 20199096 20483830 22443440 22741890 23225760 24258016 24580596 25248870 26932128 27290268 30322520 30725745 32774128 33665160 34112835 35628961 36387024 36870894 40398192 40967660 44886880 45483780 49161192 50497740 54580536 60645040 61451490 65548256 67330320 68225670 71257922 72774048 73741788 80796384 81935320 90967560 92177235 96274001 98322384 100995480 106886883 109161072 121290080 122902980 134660640 136451340 142515844 147483576 163870640 178144805 181935120 184354470 192548002 196644768 201990960 213773766 218322144 245805960 260144641 272902680 285031688 288822003 294967152 320660649 327741280 356289610 363870240 368708940 385096004 403981920 427547532 481370005 491611920 520289282 534434415 545805360 570063376 577644006 589934304 641321298 712579220 737417880 770192008 780433923 855095064 866466009 962740010 983223840 1040578564 1068868830 1091610720 1140126752 1155288012 1282642596 1300723205 1425158440 1444110015 1474835760 1540384016 1560867846 1603303245 1710190128 1732932018 1925480020 2081157128 2137737660 2310576024 2341301769 2565285192 2601446410 2850316880 2888220030 2949671520 3080768032 3121735692 3206606490 3420380256 3465864036 3850960040 3902169615 4162314256 4275475320 4332330045 4524878047 4621152048 4682603538 5130570384 5202892820 5700633760 5776440060 6243471384 6413212980 6931728072 7701920080 7804339230 8324628512 8550950640 8664660090 9049756094 9242304096 9365207076 10261140768 10405785640 11552880120 11706508845 12226798127 12486942768 12826425960 13574634141 13863456144 15403840160 15608678460 17101901280 17329320180 18099512188 18730414152 20811571280 22624390235 23105760240 23413017690 24453596254 24973885536 25652851920 27149268282 27726912288 31217356920 33038369407 34658640360 36199024376 36680394381 37460828304 40723902423 41623142560 45248780470 46211520480 46826035380 48907192508 51305703840 54298536564 61133990635 62434713840 66076738814 67873170705 69317280720 72398048752 73360788762 74921656608 81447804846 90497560940 93652070760 97814385016 99115108221 108597073128 110041183143 122267981270 124869427680 132153477628 135746341410 138634561440 144796097504 146721577524 162895609692 165191847035 180995121880 183401971905 187304141520 195628770032 198230216442 203619512115 217194146256 220082366286 244535962540 264306955256 271492682820 293443155048 297345324663 325791219384 330383694070 361990243760 366803943810 374608283040 391257540064 396460432884 407239024230 434388292512 440164732572 489071925080 495575541105 528613910512 542985365640 550205915715 574659511969 586886310096 594690649326 651582438768 660767388140 723980487520 733607887620 792920865768 814478048460 880329465144 978143850160 991151082210 1057227821024 1085970731280 1100411831430 1149319023938 1173772620192 1189381298652 1303164877536 1321534776280 1467215775240 1486726623315 1552803362129 1585841731536 1628956096920 1723978535907 1760658930288 1956287700320 1982302164420 2171941462560 2200823662860 2298638047876 2378762597304 2643069552560 2873297559845 2934431550480 2973453246630 3105606724258 3171683463072 3257912193840 3447957071814 3521317860576 3964604328840 4195872914689 4401647325720 4597276095752 4658410086387 4757525194608 5171935607721 5286139105120 5746595119690 5868863100960 5946906493260 6211213448516 6515824387680 6895914143628 7764016810645 7929208657680 8391745829378 8619892679535 8803294651440 9194552191504 9316820172774 9515050389216 10343871215442 11493190239380 11893812986520 12422426897032 12587618744067 13791828287256 13975230259161 15528033621290 15858417315360 16783491658756 17239785359070 17606589302880 18389104383008 18633640345548 20687742430884 20979364573445 22986380478760 23292050431935 23787625973040 24844853794064 25175237488134 25859678038605 27583656574512 27950460518322 31056067242580 33566983317512 34479570718140 37267280691096 37762856232201 41375484861768 41958729146890 45972760957520 46584100863870 47575251946080 49689707588128 50350474976268 51719356077210 55167313149024 55900921036644 62112134485160 62938093720335 67133966635024 68959141436280 69876151295805 72981758020063 74534561382192 75525712464402 82750969723536 83917458293780 91945521915040 93168201727740 100700949952536 103438712154420 111801842073288 124224268970320 125876187440670 134267933270048 137918282872560 139752302591610 145963516040126 149069122764384 151051424928804 165501939447072 167834916587560 186336403455480 188814281161005 197206026990383 201401899905072 206877424308840 218945274060189 223603684146576 248448537940640 251752374881340 275836565745120 279504605183220 291927032080252 302102849857608 335669833175120 364908790100315 372672806910960 377628562322010 394412053980766 402803799810144 413754848617680 437890548120378 447207368293152 503504749762680 559009210366440 583854064160504 591618080971149 604205699715216 656835822180567 671339666350240 729817580200630 745345613821920 755257124644020 788824107961532 827509697235360 875781096240756 986030134951915 1007009499525360 1094726370300945 1118018420732880 1167708128321008 1183236161942298 1208411399430432 1313671644361134 1459635160401260 1510514249288040 1577648215923064 1751562192481512 1774854242913447 1972060269903830 2014018999050720 2189452740601890 2236036841465760 2335416256642016 2366472323884596 2627343288722268 2919270320802520 2958090404855745 3021028498576080 3155296431846128 3284179110902835 3503124384963024 3549708485826894 3944120539807660 4378905481203780 4732944647769192 5254686577444536 5838540641605040 5916180809711490 6042056997152160 6310592863692256 6568358221805670 7006248769926048 7099416971653788 7888241079615320 8757810962407560 8874271214567235 9268683268548001 9465889295538384 10509373154889072 11677081283210080 11832361619422980 13136716443611340 14198833943307576 15776482159230640 17515621924815120 17748542429134470 18537366537096002 18931778591076768 21018746309778144 23664723238845960 26273432887222680 27806049805644003 28397667886615152 31552964318461280 35031243849630240 35497084858268940 37074733074192004 46343416342740005 47329446477691920 52546865774445360 55612099611288006 56795335773230304 70994169716537880 74149466148384008 83418149416932009 92686832685480010 94658892955383840 105093731548890720 111224199222576012 139030249028220015 141988339433075760 148298932296768016 166836298833864018 185373665370960020 222448398445152024 278060498056440030 283976678866151520 296597864593536032 333672597667728036 370747330741920040 417090747084660045 444896796890304048 556120996112880060 667345195335456072 741494661483840080 834181494169320090 889793593780608096 1112241992225760120 1334690390670912144 1482989322967680160 1668362988338640180 2224483984451520240 2669380781341824288 3336725976677280360 4448967968903040480 6673451953354560720 13346903906709121440
- Sum of all divisors σ(n): 46905331839347982546
- Sum of proper divisors (its aliquot sum) s(n): 33558427932638861106
- 13346903906709121440 is an abundant number, because the sum of its proper divisors (33558427932638861106) is greater than itself. Its abundance is 20211524025929739666
Bases of 13346903906709121440
- Binary: 10111001001110011011101001100011011000101010101110101001101000002
- Hexadecimal: 0xB939BA6362ABA9A0
- Base-36: 2TEIYKGNBTIG0
Squares and roots of 13346903906709121440
- 13346903906709121440 squared (133469039067091214402) is 178139843894927208271231542496667673600
- 13346903906709121440 cubed (133469039067091214403) is 2377615378421756992285121772603654386744431257504681984000
-
The
square root of 13346903906709121440 is 3653341471.4079385437 -
The
cube root of 13346903906709121440 is 2372066.4149076079 - Being both a perfect square and a perfect cube, 13346903906709121440 is also a
perfect sixth number .
Scales and comparisons
How big is 13346903906709121440?- 13,346,903,906,709,121,440 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,346,903,906,709,121,440 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 13346903906709121440 cubic inches would be around 197672.2 feet tall.
Recreational maths with 13346903906709121440
- 13346903906709121440 backwards is 04412190760930964331
- 13346903906709121440 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13346903906709121440's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 13346903906709121440 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/13346903906709121440/
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The information we have on file for 13346903906709121440 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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