13738643239706385
13,738,643,239,706,385 is an odd composite number composed of ten prime numbers multiplied together.
What does the number 13738643239706385 look like?
This visualization shows the relationship between its 10 prime factors (large circles) and 1024 divisors.
13738643239706385 is an odd composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 13738643239706385:
3 × 5 × 7 × 11 × 13 × 29 × 53 × 73 × 1723 × 4733
See below for interesting mathematical facts about the number 13738643239706385 from the Numbermatics database.
Names of 13738643239706385
- Cardinal: 13738643239706385 can be written as Thirteen quadrillion, seven hundred thirty-eight trillion, six hundred forty-three billion, two hundred thirty-nine million, seven hundred six thousand, three hundred eighty-five.
Scientific notation
- Scientific notation: 1.3738643239706385 × 1016
Factors of 13738643239706385
Divisors of 13738643239706385
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 3 5 7 11 13 15 21 29 33 35 39 53 55 65 73 77 87 91 105 143 145 159 165 195 203 219 231 265 273 319 365 371 377 385 429 435 455 511 583 609 689 715 795 803 949 957 1001 1015 1095 1113 1131 1155 1365 1533 1537 1595 1723 1749 1855 1885 2067 2117 2145 2233 2409 2555 2639 2847 2915 3003 3045 3445 3869 4015 4081 4147 4611 4733 4745 4785 4823 5005 5169 5565 5621 5655 6351 6643 6699 7579 7665 7685 7917 8615 8745 10335 10439 10585 10759 11165 11607 12045 12061 12243 12441 13195 14199 14235 14469 14819 15015 16863 16907 18953 19345 19929 19981 20405 20735 22399 22737 23055 23287 23665 24115 25845 27083 27521 28105 29029 31317 31755 32277 33131 33215 33495 36183 37895 39585 42559 44457 49967 50297 50721 52063 52195 53053 53795 56859 58035 59943 60305 61215 61529 62205 67197 69861 70995 72345 73073 74095 81249 82563 84315 84535 87087 91319 94765 99393 99645 99905 111995 112201 113685 116435 118349 125779 127677 132671 135415 137257 137605 139867 145145 149901 150891 156189 156585 156793 159159 161385 163009 165655 180915 184587 192647 212795 219219 219791 222285 246389 249835 250849 251485 253605 260315 265265 273957 284295 297913 299715 302731 307645 335985 336603 345509 349305 349769 352079 355047 364441 365365 377337 398013 406245 411771 412815 419601 430703 435435 456595 470379 489027 496965 549637 553267 561005 577941 591745 628895 638385 639233 649571 659373 663355 676819 686285 699335 739167 749505 752547 754455 780945 783965 785407 795795 815045 880453 893739 908193 922935 960799 963235 1004509 1036527 1049307 1056237 1093323 1096095 1098955 1187147 1231945 1234211 1254245 1292109 1369785 1383569 1458613 1489565 1509827 1513655 1538537 1635127 1648911 1659801 1683015 1724723 1727545 1748845 1755943 1760395 1775235 1784341 1822205 1886685 1917699 1948713 1990065 2030457 2058855 2098005 2119117 2153515 2351895 2356221 2418563 2445135 2641359 2648251 2748185 2759339 2766335 2882397 2889705 3013527 3196165 3247855 3261037 3296865 3384095 3561441 3647591 3695835 3702633 3762735 3800599 3847459 3872869 3927035 4150707 4375839 4402265 4468695 4491617 4529481 4540965 4546997 4615611 4737733 4803995 4905381 5022545 5174169 5182635 5246535 5267829 5281185 5353023 5466615 5935735 6171055 6357351 6460545 6666287 6917845 7031563 7145281 7255689 7274621 7293065 7549135 7692685 7944753 8154959 8175635 8244555 8278017 8299005 8310029 8623615 8639477 8779715 8921705 9588495 9684983 9743565 9783111 10019761 10152285 10210291 10568789 10595585 10942773 11401797 11445889 11542377 11618607 11781105 12092815 12490387 13058617 13206795 13241255 13474851 13640991 13796695 14213199 14411985 15067635 16044743 16305185 17807205 17986397 18237955 18311977 18513165 18537757 19002995 19237295 19315373 19364345 19627751 19998861 20753535 21094689 21435843 21823863 21879195 22458085 22647405 22734985 22827259 23078055 23688665 24464877 24526905 24930087 25533137 25870845 25918431 26339145 26604193 26765115 29054949 29130761 30059283 30630873 31441319 31706367 31786755 33331435 34337667 34427263 35157815 35726405 35871407 36278445 36373105 37471161 39175851 39723765 40123501 40774795 41390085 41550145 43197385 46664009 47418683 48134229 48424915 48915555 49407787 50016967 50098805 50922347 51051455 52843945 53959191 54713865 54935931 55613271 57008985 57084713 57229445 57711885 57946119 58093035 58883253 62451935 65293085 67374255 68204955 68481777 70138327 71065995 73329157 76599411 79812579 80020831 80223715 86661731 87392283 89704549 89931985 91410319 91559885 92688785 94323957 94570073 96576865 98138755 99994305 103281789 105473445 106014467 107179215 107614221 109119315 110217371 112313201 114136295 120370503 122324385 124650435 125904779 127665685 128183839 129592155 130256893 133020965 137394257 139992027 142256049 145274745 145653805 148223361 150050901 150296415 152767041 153154365 157206595 158531835 171254139 171688335 172136315 179357035 187355805 193322323 195879255 200617505 201431747 203915327 210414981 219987471 233320045 236493811 237093415 238055701 240062493 240671145 240990841 247038935 250084835 251099849 254611735 259985193 269113647 269795955 274230957 274679655 278066355 280864507 283710219 285423565 289730595 294416265 318043401 330652113 331930781 336939603 342408885 345854509 350691635 366645785 377714337 378699893 382997055 384551517 390770679 399062895 400104155 412182771 432212827 433308655 436961415 448522745 457051595 471619785 472850365 513304099 516408945 521605513 530072335 531047333 538071105 551086855 560145817 561566005 579966969 595312007 601852515 604295241 606632117 611745981 627931843 629523895 640919195 651284465 661990511 686971285 699960135 709481433 711280245 714167103 722972523 741116805 742101269 750254505 753299547 763835205 771521597 842593521 856270695 911798251 953279041 966611615 995792343 1007158735 1019576635 1037563527 1040270803 1052074905 1099937355 1136099679 1166159137 1182469055 1190278505 1200312465 1204954205 1255499245 1296638481 1299925965 1345568235 1353256261 1371154785 1404322535 1410022229 1418551095 1432825823 1539912297 1564816539 1590217005 1593141999 1653260565 1655456677 1659653905 1666389907 1680437451 1684698015 1729272545 1785936021 1819896351 1883795529 1888571685 1893499465 1922757585 1953853395 1985971533 2060913855 2126545553 2161064135 2226303807 2314564791 2513190199 2566520495 2601431921 2608027565 2618612711 2650899251 2655236665 2735394753 2800729085 2859837123 2899834845 2976560035 3021476205 3025489789 3033160585 3058729905 3074419543 3120812409 3139659215 3309952555 3498477411 3547407165 3570835515 3614862615 3651238591 3710506345 3717331331 3766497735 3857607985 4059768783 4167184049 4212967605 4230066687 4298477469 4558991255 4754341097 4766395205 4966370031 4978961715 4999169721 5187817635 5201354015 5618766751 5680498395 5830795685 5841520663 6379636659 6483192405 6548432077 6672953287 6766281305 6903615329 7050111145 7164129115 7281895621 7539570597 7699561485 7739056091 7804295763 7824082695 7855838133 7952697753 7965709995 8163113959 8277283385 8331949535 8402187255 8929680105 9076469367 9099481755 9223258629 9418977645 9929857665 10029780761 10632727765 10953715773 11131519035 11151993993 11572823955 12501552147 12534171983 12565950995 13007159605 13093063555 13254496255 13676973765 14263023291 14299185615 14885818871 15127448945 15372097715 15604062045 16856300253 17264048203 17492387055 17524561989 17592331393 18210023447 18256192955 18330288977 18586656655 19645296231 20018859861 20298843915 20710845987 20835920245 21150333435 21492387345 21520936801 21845686863 23217168273 23771705485 24489341877 24831850155 24995848605 27645092189 28093833755 29207603315 30089342283 31551536371 31898183295 32742160385 33280387679 33364766435 33818614973 34518076645 36409478105 37602515949 37697852985 38695280455 39021478815 39279190665 39331367257 39763488765 40815569795 40890644641 44657456613 45382346835 45839024539 46116293145 48325307303 50148903805 51792144609 52776994179 54173392637 54630070341 54768578865 54990866931 55759969965 61806434261 62507760735 62670859915 64562810403 71315116455 74429094355 75939768619 82935276567 84281501265 85129617001 86320241015 87622809945 87739203881 87961656965 91050117235 91651444885 94654609113 98226481155 99841163037 100094299305 101455844919 103554229935 107604684005 109228434315 116085841365 117994101771 120848337421 122446709385 122671933923 137517073617 137875891813 138225460945 144975921909 150446711415 157757681855 162520177911 162944235779 166401938395 169093074865 185419302783 188012579745 189904530233 193515645323 196656836285 204453223205 220860754597 223287283065 224432626639 227819305857 229195122695 236730304811 241626536515 255388851003 258960723045 263217611643 263884970895 270866963185 273150351705 274954334655 309032171305 322814052015 347066900081 362545012263 379698843095 410169972823 413627675439 414676382835 425648085005 432645039827 438696019405 473273045565 488832707337 499205815185 507279224595 531578380333 569713590699 580546935969 589970508855 595907319007 604241687105 613359669615 662582263791 673297879917 687585368085 689379459065 710190914433 724879609545 812600889555 814721178895 914994554759 927096513915 949522651165 965131242691 967578226615 1041200700243 1104303772985 1122163133195 1139096529285 1140609650453 1183651524055 1230509918469 1276944255015 1297935119481 1316088058215 1329331711631 1571028386473 1594735140999 1735334500405 1787721957021 1792386593569 1812725061315 2050849864115 2068138377195 2163225199135 2429468300567 2444163536685 2468758893029 2657891901665 2744983664277 2848567953495 2871189809761 2895393728073 2902734679845 2979536595035 3312911318955 3366489399585 3421828951359 3550954572165 3987995134893 4511869701053 4574972773795 4713085159419 4825656213455 5206003501215 5377159780707 5703048252265 6152549592345 6404961883313 6489675597405 6646658558155 7288404901701 7406276679087 7855141932365 7973675704995 8613569429283 8938609785105 8961932967845 10064940102349 11894929211867 12147341502835 12343794465145 12546706154983 13535609103159 13724918321385 14355949048805 14476968640365 17109144756795 17281312251203 19214885649939 19939975674465 22559348505265 23565425797095 26885798903535 30194820307047 31583087907371 32024809416565 35684787635601 36442024508505 37031383395435 37640118464949 43067847146415 50324700511745 51843936753609 59474646059335 62733530774915 67678045515795 70454580716443 83264504483069 86406561256015 94749263722113 96074428249695 130844221330537 150974101535235 157915439536855 178423938178005 188200592324745 211363742149329 249793513449207 259219683768045 352272903582215 392532663991611 416322522415345 473746318610565 654221106652685 915909549313759 1056818710746645 1248967567246035 1962663319958055 2747728647941277 4579547746568795 13738643239706385
- Sum of all divisors σ(n): 31558965583380480
- Sum of proper divisors (its aliquot sum) s(n): 17820322343674095
- 13738643239706385 is an abundant number, because the sum of its proper divisors (17820322343674095) is greater than itself. Its abundance is 4081679103967710
Bases of 13738643239706385
- Binary: 1100001100111100111001001001011111111110011111000100012
- Hexadecimal: 0x30CF3925FF9F11
- Base-36: 3R9XXKNNX8X
Squares and roots of 13738643239706385
- 13738643239706385 squared (137386432397063852) is 188750318067929954130261009768225
- 13738643239706385 cubed (137386432397063853) is 2593173281316395800465705247805841776665902616625
-
The
square root of 13738643239706385 is 117211958.6036611923 -
The
cube root of 13738643239706385 is 239505.0171016843
Scales and comparisons
How big is 13738643239706385?- 13,738,643,239,706,385 seconds is equal to 436,846,358 years, 31 weeks, 4 days, 15 hours, 19 minutes, 45 seconds.
-
To count from 1 to 13,738,643,239,706,385 would take you about one billion, three hundred ten million, five hundred thirty-nine thousand and seventy-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 13738643239706385 cubic inches would be around 19958.8 feet tall.
Recreational maths with 13738643239706385
- 13738643239706385 backwards is 58360793234683731
- The number of decimal digits it has is: 17
- The sum of 13738643239706385's digits is 78
- More coming soon!
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The information we have on file for 13738643239706385 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!
Keywords: Divisors of 13738643239706385, math, Factors of 13738643239706385, curriculum, school, college, exams, university, Prime factorization of 13738643239706385, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred thirty-eight trillion, six hundred forty-three billion, two hundred thirty-nine million, seven hundred six thousand, three hundred eighty-five.