13505844523934730240
13,505,844,523,934,730,240 is an even composite number composed of seven prime numbers multiplied together.
13505844523934730240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13505844523934730240:
211 × 32 × 5 × 7 × 13 × 431 × 3736462409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 431 × 3736462409)See below for interesting mathematical facts about the number 13505844523934730240 from the Numbermatics database.
Names of 13505844523934730240
- Cardinal: 13505844523934730240 can be written as Thirteen quintillion, five hundred five quadrillion, eight hundred forty-four trillion, five hundred twenty-three billion, nine hundred thirty-four million, seven hundred thirty thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.350584452393473024 × 1019
Factors of 13505844523934730240
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 3736462870
Divisors of 13505844523934730240
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 160 168 180 182 192 195 208 210 224 234 240 252 256 260 273 280 288 312 315 320 336 360 364 384 390 416 420 431 448 455 468 480 504 512 520 546 560 576 585 624 630 640 672 720 728 768 780 819 832 840 862 896 910 936 960 1008 1024 1040 1092 1120 1152 1170 1248 1260 1280 1293 1344 1365 1440 1456 1536 1560 1638 1664 1680 1724 1792 1820 1872 1920 2016 2048 2080 2155 2184 2240 2304 2340 2496 2520 2560 2586 2688 2730 2880 2912 3017 3072 3120 3276 3328 3360 3448 3584 3640 3744 3840 3879 4032 4095 4160 4310 4368 4480 4608 4680 4992 5040 5120 5172 5376 5460 5603 5760 5824 6034 6144 6240 6465 6552 6656 6720 6896 7168 7280 7488 7680 7758 8064 8190 8320 8620 8736 8960 9051 9216 9360 9984 10080 10240 10344 10752 10920 11206 11520 11648 12068 12480 12930 13104 13312 13440 13792 14336 14560 14976 15085 15360 15516 16128 16380 16640 16809 17240 17472 17920 18102 18432 18720 19395 19968 20160 20688 21504 21840 22412 23040 23296 24136 24960 25860 26208 26624 26880 27153 27584 28015 29120 29952 30170 30720 31032 32256 32760 33280 33618 34480 34944 35840 36204 37440 38790 39221 39936 40320 41376 43008 43680 44824 45255 46080 46592 48272 49920 50427 51720 52416 53760 54306 55168 56030 58240 59904 60340 62064 64512 65520 66560 67236 68960 69888 71680 72408 74880 77580 78442 79872 80640 82752 84045 87360 89648 90510 92160 93184 96544 99840 100854 103440 104832 107520 108612 110336 112060 116480 117663 119808 120680 124128 129024 131040 133120 134472 135765 137920 139776 144816 149760 155160 156884 161280 165504 168090 174720 179296 181020 186368 193088 196105 199680 201708 206880 209664 215040 217224 220672 224120 232960 235326 239616 241360 248256 252135 262080 268944 271530 275840 279552 289632 299520 310320 313768 322560 331008 336180 349440 352989 358592 362040 386176 392210 399360 403416 413760 419328 434448 441344 448240 465920 470652 482720 496512 504270 524160 537888 543060 551680 559104 579264 588315 599040 620640 627536 645120 662016 672360 698880 705978 717184 724080 772352 784420 806832 827520 838656 868896 882688 896480 931840 941304 965440 993024 1008540 1048320 1075776 1086120 1103360 1158528 1176630 1198080 1241280 1255072 1324032 1344720 1397760 1411956 1434368 1448160 1544704 1568840 1613664 1655040 1677312 1737792 1764945 1792960 1882608 1930880 1986048 2017080 2096640 2151552 2172240 2206720 2317056 2353260 2482560 2510144 2648064 2689440 2795520 2823912 2868736 2896320 3089408 3137680 3227328 3310080 3475584 3529890 3585920 3765216 3861760 3972096 4034160 4193280 4303104 4344480 4413440 4634112 4706520 4965120 5020288 5378880 5647824 5737472 5792640 6178816 6275360 6454656 6620160 6951168 7059780 7171840 7530432 7723520 7944192 8068320 8386560 8606208 8688960 9268224 9413040 9930240 10040576 10757760 11295648 11474944 11585280 12550720 12909312 13240320 13902336 14119560 14343680 15060864 15447040 16136640 17212416 17377920 18536448 18826080 19860480 20081152 21515520 22591296 23170560 25101440 25818624 27804672 28239120 28687360 30121728 30894080 32273280 34424832 34755840 37652160 39720960 40162304 43031040 45182592 46341120 50202880 51637248 55609344 56478240 57374720 60243456 64546560 69511680 75304320 80324608 86062080 90365184 92682240 100405760 103274496 112956480 120486912 129093120 139023360 150608640 172124160 180730368 200811520 225912960 240973824 258186240 278046720 301217280 361460736 401623040 451825920 516372480 602434560 722921472 903651840 1204869120 1807303680 3614607360 3736462409 7472924818 11209387227 14945849636 18682312045 22418774454 26155236863 29891699272 33628161681 37364624090 44837548908 48574011317 52310473726 56046936135 59783398544 67256323362 74729248180 78465710589 89675097816 97148022634 104620947452 112093872270 119566797088 130776184315 134512646724 145722033951 149458496360 156931421178 168140808405 179350195632 194296045268 209241894904 224187744540 235397131767 239133594176 242870056585 261552368630 269025293448 291444067902 298916992720 313862842356 336281616810 340018079219 358700391264 388592090536 392328552945 418483789808 437166101853 448375489080 470794263534 478267188352 485740113170 523104737260 538050586896 582888135804 597833985440 627725684712 672563233620 680036158438 717400782528 728610169755 777184181072 784657105890 836967579616 874332203706 896750978160 941588527068 956534376704 971480226340 1020054237657 1046209474520 1076101173792 1165776271608 1176985658835 1195667970880 1255451369424 1345126467240 1360072316876 1434801565056 1457220339510 1554368362144 1569314211780 1610415298279 1673935159232 1700090396095 1748664407412 1793501956320 1883177054136 1913068753408 1942960452680 2040108475314 2092418949040 2152202347584 2185830509265 2331552543216 2353971317670 2391335941760 2510902738848 2690252934480 2720144633752 2869603130112 2914440679020 3060162712971 3108736724288 3138628423560 3220830596558 3347870318464 3400180792190 3497328814824 3587003912640 3766354108272 3826137506816 3885920905360 4080216950628 4184837898080 4304404695168 4371661018530 4663105086432 4707942635340 4782671883520 4831245894837 5021805477696 5100271188285 5380505868960 5440289267504 5739206260224 5828881358040 6120325425942 6217473448576 6277256847120 6441661193116 6695740636928 6800361584380 6994657629648 7174007825280 7532708216544 7652275013632 7771841810720 8052076491395 8160433901256 8369675796160 8608809390336 8743322037060 9326210172864 9415885270680 9565343767040 9662491789674 10043610955392 10200542376570 10761011737920 10880578535008 11272907087953 11478412520448 11657762716080 12240650851884 12434946897152 12554513694240 12883322386232 13391481273856 13600723168760 13989315259296 14348015650560 14493737684511 15065416433088 15300813564855 15543683621440 16104152982790 16320867802512 16739351592320 17217618780672 17486644074120 18652420345728 18831770541360 19130687534080 19324983579348 20087221910784 20401084753140 20935398877627 21522023475840 21761157070016 22545814175906 22956825040896 23315525432160 24156229474185 24481301703768 24869893794304 25109027388480 25766644772464 26782962547712 27201446337520 27978630518592 28696031301120 28987475369022 30130832866176 30601627129710 31087367242880 32208305965580 32641735605024 33478703184640 33818721263859 34435237561344 34973288148240 37304840691456 37663541082720 38261375068160 38649967158696 40174443821568 40802169506280 41870797755254 43044046951680 43522314140032 45091628351812 46631050864320 48312458948370 48962603407536 49739787588608 50218054776960 51533289544928 53565925095424 54402892675040 55957261037184 56364535439765 57392062602240 57974950738044 60261665732352 61203254259420 62174734485760 62806196632881 64416611931160 65283471210048 66957406369280 67637442527718 68870475122688 69946576296480 72468688422555 74609681382912 75327082165440 77299934317392 80348887643136 81604339012560 83741595510508 86088093903360 87044628280064 90183256703624 93262101728640 96624917896740 97925206815072 99479575177216 100436109553920 101456163791577 103066579089856 104676994388135 108805785350080 111914522074368 112729070879530 114784125204480 115949901476088 120523331464704 122406508518840 124349468971520 125612393265762 128833223862320 130566942420096 133914812738560 135274885055436 139893152592960 144937376845110 146547792143389 149219362765824 150654164330880 154599868634784 160697775286272 163208678025120 167483191021016 169093606319295 172176187806720 174089256560128 180366513407248 186524203457280 188418589898643 193249835793480 195850413630144 200872219107840 202912327583154 206133158179712 209353988776270 217611570700160 223829044148736 225458141759060 231899802952176 241046662929408 244813017037680 248698937943040 251224786531524 257666447724640 261133884840192 267829625477120 270549770110872 279786305185920 289874753690220 293095584286778 298438725531648 301308328661760 309199737269568 314030983164405 326417356050240 334966382042032 338187212638590 344352375613440 348178513120256 360733026814496 373048406914560 376837179797286 386499671586960 391700827260288 401744438215680 405824655166308 412266316359424 418707977552540 435223141400320 439643376430167 447658088297472 450916283518120 463799605904352 482093325858816 489626034075360 497397875886080 502449573063048 507280818957885 515332895449280 522267769680384 541099540221744 559572610371840 579749507380440 586191168573556 602616657323520 618399474539136 628061966328810 652834712100480 669932764084064 676374425277180 696357026240512 721466053628992 732738960716945 746096813829120 753674359594572 772999343173920 783401654520576 803488876431360 811649310332616 824532632718848 837415955105080 870446282800640 879286752860334 895316176594944 901832567036240 927599211808704 942092949493215 979252068150720 1004899146126096 1014561637915770 1030665790898560 1044535539360768 1082199080443488 1119145220743680 1159499014760880 1172382337147112 1205233314647040 1236798949078272 1256123932657620 1305669424200960 1318930129290501 1339865528168128 1352748850554360 1442932107257984 1465477921433890 1492193627658240 1507348719189144 1545998686347840 1566803309041152 1623298620665232 1649065265437696 1674831910210160 1740892565601280 1758573505720668 1803665134072480 1855198423617408 1884185898986430 1958504136301440 2009798292252192 2029123275831540 2061331581797120 2089071078721536 2164398160886976 2198216882150835 2238290441487360 2318998029521760 2344764674294224 2410466629294080 2473597898156544 2512247865315240 2611338848401920 2637860258581002 2679731056336256 2705497701108720 2885864214515968 2930955842867780 3014697438378288 3091997372695680 3133606618082304 3246597241330464 3298130530875392 3349663820420320 3481785131202560 3517147011441336 3607330268144960 3710396847234816 3768371797972860 3917008272602880 4019596584504384 4058246551663080 4122663163594240 4328796321773952 4396433764301670 4476580882974720 4637996059043520 4689529348588448 4947195796313088 5024495730630480 5222677696803840 5275720517162004 5359462112672512 5410995402217440 5771728429031936 5861911685735560 6029394876756576 6183994745391360 6267213236164608 6493194482660928 6594650646452505 6699327640840640 7034294022882672 7214660536289920 7420793694469632 7536743595945720 7834016545205760 8039193169008768 8116493103326160 8245326327188480 8657592643547904 8792867528603340 9275992118087040 9379058697176896 9894391592626176 10048991461260960 10445355393607680 10551441034324008 10718924225345024 10821990804434880 11543456858063872 11723823371471120 12058789753513152 12367989490782720 12986388965321856 13189301292905010 13398655281681280 14068588045765344 14429321072579840 14841587388939264 15073487191891440 15668033090411520 16078386338017536 16232986206652320 16490652654376960 17315185287095808 17585735057206680 18551984236174080 18758117394353792 20097982922521920 21102882068648016 21437848450690048 21643981608869760 23086913716127744 23447646742942240 24117579507026304 24735978981565440 25972777930643712 26378602585810020 26797310563362560 28137176091530688 28858642145159680 29683174777878528 30146974383782880 31336066180823040 32156772676035072 32465972413304640 34630370574191616 35171470114413360 37103968472348160 37516234788707584 40195965845043840 42205764137296032 42875696901380096 43287963217739520 46895293485884480 48235159014052608 49471957963130880 51945555861287424 52757205171620040 53594621126725120 56274352183061376 57717284290319360 60293948767565760 64313545352070144 64931944826609280 69260741148383232 70342940228826720 74207936944696320 75032469577415168 80391931690087680 84411528274592064 86575926435479040 93790586971768960 96470318028105216 103891111722574848 105514410343240080 107189242253450240 112548704366122752 115434568580638720 120587897535131520 128627090704140288 129863889653218560 140685880457653440 148415873889392640 150064939154830336 160783863380175360 168823056549184128 173151852870958080 187581173943537920 192940636056210432 207782223445149696 211028820686480160 214378484506900480 225097408732245504 241175795070263040 259727779306437120 281371760915306880 300129878309660672 321567726760350720 337646113098368256 346303705741916160 375162347887075840 385881272112420864 422057641372960320 450194817464491008 482351590140526080 519455558612874240 562743521830613760 643135453520701440 675292226196736512 750324695774151680 844115282745920640 900389634928982016 964703180281052160 1038911117225748480 1125487043661227520 1350584452393473024 1500649391548303360 1688230565491841280 1929406360562104320 2250974087322455040 2701168904786946048 3376461130983682560 4501948174644910080 6752922261967365120 13505844523934730240
- Sum of all divisors σ(n): 57744535970165990400
- Sum of proper divisors (its aliquot sum) s(n): 44238691446231260160
- 13505844523934730240 is an abundant number, because the sum of its proper divisors (44238691446231260160) is greater than itself. Its abundance is 30732846922296529920
Bases of 13505844523934730240
- Binary: 10111011011011100110011000001001100110001100100011001000000000002
- Hexadecimal: 0xBB6E660998C8C800
- Base-36: 2ULZYBC76TJ40
Squares and roots of 13505844523934730240
- 13505844523934730240 squared (135058445239347302402) is 182407836304697740114646671661570457600
- 13505844523934730240 cubed (135058445239347302403) is 2463571877078584653104848974285421985272984677409357824000
-
The
square root of 13505844523934730240 is 3675029867.0806377869 -
The
cube root of 13505844523934730240 is 2381445.1433197185
Scales and comparisons
How big is 13505844523934730240?- 13,505,844,523,934,730,240 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,505,844,523,934,730,240 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 13505844523934730240 cubic inches would be around 198453.8 feet tall.
Recreational maths with 13505844523934730240
- 13505844523934730240 backwards is 04203743932544850531
- 13505844523934730240 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13505844523934730240's digits is 72
- More coming soon!
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"Number 13505844523934730240 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 13505844523934730240 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/13505844523934730240/
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The information we have on file for 13505844523934730240 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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