13388131396093980672
13,388,131,396,093,980,672 is an even composite number composed of four prime numbers multiplied together.
13388131396093980672 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty divisors.
Prime factorization of 13388131396093980672:
212 × 37 × 234 × 23112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 23 × 23 × 23 × 23 × 2311 × 2311)See below for interesting mathematical facts about the number 13388131396093980672 from the Numbermatics database.
Names of 13388131396093980672
- Cardinal: 13388131396093980672 can be written as Thirteen quintillion, three hundred eighty-eight quadrillion, one hundred thirty-one trillion, three hundred ninety-six billion, ninety-three million, nine hundred eighty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.3388131396093980672 × 1019
Factors of 13388131396093980672
Divisors of 13388131396093980672
- Number of divisors d(n): 1560
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 243 256 276 288 324 368 384 414 432 486 512 529 552 576 621 648 729 736 768 828 864 972 1024 1058 1104 1152 1242 1296 1458 1472 1536 1587 1656 1728 1863 1944 2048 2116 2187 2208 2304 2311 2484 2592 2916 2944 3072 3174 3312 3456 3726 3888 4096 4232 4374 4416 4608 4622 4761 4968 5184 5589 5832 5888 6144 6348 6624 6912 6933 7452 7776 8464 8748 8832 9216 9244 9522 9936 10368 11178 11664 11776 12167 12288 12696 13248 13824 13866 14283 14904 15552 16767 16928 17496 17664 18432 18488 19044 19872 20736 20799 22356 23328 23552 24334 25392 26496 27648 27732 28566 29808 31104 33534 33856 34992 35328 36501 36864 36976 38088 39744 41472 41598 42849 44712 46656 47104 48668 50301 50784 52992 53153 55296 55464 57132 59616 62208 62397 67068 67712 69984 70656 73002 73952 76176 79488 82944 83196 85698 89424 93312 94208 97336 100602 101568 105984 106306 109503 110592 110928 114264 119232 124416 124794 128547 134136 135424 139968 141312 146004 147904 152352 158976 159459 165888 166392 171396 178848 186624 187191 194672 201204 203136 211968 212612 219006 221856 228528 238464 248832 249588 257094 268272 270848 279841 279936 282624 292008 295808 304704 317952 318918 328509 331776 332784 342792 357696 373248 374382 385641 389344 402408 406272 423936 425224 438012 443712 457056 476928 478377 497664 499176 514188 536544 541696 559682 559872 561573 584016 591616 609408 635904 637836 657018 665568 685584 715392 746496 748764 771282 778688 804816 812544 839523 847872 850448 876024 887424 914112 953856 956754 985527 995328 998352 1028376 1073088 1083392 1119364 1119744 1123146 1156923 1168032 1183232 1218816 1222519 1271808 1275672 1314036 1331136 1371168 1430784 1435131 1492992 1497528 1542564 1557376 1609632 1625088 1679046 1684719 1700896 1752048 1774848 1828224 1907712 1913508 1971054 1996704 2056752 2146176 2166784 2238728 2239488 2246292 2313846 2336064 2366464 2437632 2445038 2518569 2543616 2551344 2628072 2662272 2742336 2861568 2870262 2956581 2985984 2995056 3085128 3114752 3219264 3250176 3358092 3369438 3401792 3504096 3549696 3656448 3667557 3815424 3827016 3942108 3993408 4113504 4292352 4305393 4477456 4478976 4492584 4627692 4672128 4732928 4875264 4890076 5037138 5054157 5102688 5256144 5324544 5340721 5484672 5723136 5740524 5913162 5990112 6170256 6229504 6438528 6500352 6716184 6738876 6803584 7008192 7099392 7312896 7335114 7555707 7630848 7654032 7884216 7986816 8227008 8584704 8610786 8869743 8954912 8957952 8985168 9255384 9344256 9465856 9750528 9780152 10074276 10108314 10205376 10512288 10649088 10681442 10969344 11002671 11446272 11481048 11826324 11980224 12340512 12459008 12877056 12916179 13432368 13477752 13607168 14016384 14198784 14625792 14670228 15111414 15308064 15768432 15973632 16022163 16454016 17169408 17221572 17739486 17909824 17970336 18510768 18688512 19501056 19560304 20148552 20216628 20410752 21024576 21298176 21362884 21938688 22005342 22667121 22892544 22962096 23652648 23960448 24681024 24918016 25754112 25832358 26609229 26864736 26955504 27214336 28032768 28117937 28397568 29251584 29340456 30222828 30616128 31536864 31947264 32044326 32908032 33008013 34338816 34443144 35478972 35819648 35940672 37021536 37377024 38748537 39120608 40297104 40433256 40821504 42049152 42596352 42725768 43877376 44010684 45334242 45924192 47305296 47920896 48066489 49362048 49836032 51508224 51664716 53218458 53729472 53911008 54428672 56065536 56235874 58503168 58680912 60445656 61232256 63073728 63894528 64088652 65816064 66016026 68001363 68677632 68886288 70957944 71639296 71881344 74043072 74754048 77497074 78241216 80594208 80866512 81643008 84098304 84353811 85192704 85451536 87754752 88021368 90668484 91848384 94610592 95841792 96132978 98724096 99024039 103016448 103329432 106436916 107458944 107822016 108857344 112131072 112471748 116245611 117361824 120891312 122464512 122836583 126147456 127789056 128177304 131632128 132032052 136002726 137772576 141915888 143278592 143762688 144199467 148086144 149508096 154994148 156482432 161188416 161733024 163286016 168196608 168707622 170903072 175509504 176042736 181336968 183696768 189221184 191683584 192265956 197448192 198048078 204004089 206032896 206658864 212873832 214917888 215644032 217714688 224262144 224943496 232491222 234723648 241782624 244929024 245673166 252294912 253061433 255578112 256354608 263264256 264064104 272005452 275545152 283831776 286557184 287525376 288398934 296172288 297072117 309988296 312964864 322376832 323466048 326572032 336393216 337415244 341806144 352085472 362673936 367393536 368509749 378442368 383367168 384531912 394896384 396096156 408008178 413317728 425747664 429835776 431288064 432598401 448524288 449886992 464982444 469447296 483565248 489858048 491346332 504589824 506122866 512709216 526528512 528128208 544010904 551090304 567663552 573114368 575050752 576797868 592344576 594144234 612012267 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5960102870016 5978210821444 5980240295424 6178802961483 6238133031072 6509356206336 6705115728768 6792371693568 6996642499584 7017899659956 7323025732128 7543255194864 7641418155264 7871222812032 7946803826688 7973653727232 8238403948644 8317510708096 8596595424672 8679141608448 8940154305024 8967316232166 9328856666112 9357199546608 9764034309504 10057673593152 10188557540352 10494963749376 10526849489934 10951266521088 10984538598192 11314882792296 11462127232896 11572188811264 11920205740032 11956421642888 11960480590848 12357605922966 12476266062144 13018712412672 13410231457536 13450974348249 13584743387136 13993284999168 14035799319912 14646051464256 15086510389728 15282836310528 15742445624064 15790274234901 15947307454464 16476807897288 16635021416192 17193190849344 17358283216896 17880308610048 17934632464332 18714399093216 19528068619008 20115347186304 20377115080704 20989927498752 21053698979868 21969077196384 22629765584592 22924254465792 23840411480064 23912843285776 23920961181696 24715211845932 24952532124288 26037424825344 26820462915072 26901948696498 27986569998336 28071598639824 29292102928512 30173020779456 30565672621056 31484891248128 31580548469802 32953615794576 33270042832384 34386381698688 34716566433792 35760617220096 35869264928664 37428798186432 39056137238016 40230694372608 40352923044747 40754230161408 41979854997504 42107397959736 43938154392768 45259531169184 45848508931584 47370822704703 47825686571552 47841922363392 49430423691864 49905064248576 52074849650688 53640925830144 53803897392996 56143197279648 58584205857024 60346041558912 61131345242112 62969782496256 63161096939604 65907231589152 66540085664768 68772763397376 71521234440192 71738529857328 74857596372864 78112274476032 80461388745216 80705846089494 83959709995008 84214795919472 87876308785536 90519062338368 91697017863168 94741645409406 95651373143104 98860847383728 99810128497152 104149699301376 107281851660288 107607794785992 112286394559296 117168411714048 120692083117824 121058769134241 122262690484224 125939564992512 126322193879208 131814463178304 133080171329536 137545526794752 142112468114109 143477059714656 149715192745728 156224548952064 160922777490432 161411692178988 168429591838944 175752617571072 181038124676736 183394035726336 189483290818812 191302746286208 197721694767456 199620256994304 214563703320576 215215589571984 224572789118592 234336823428096 241384166235648 242117538268482 251879129985024 252644387758416 263628926356608 266160342659072 275091053589504 284224936228218 286954119429312 299430385491456 312449097904128 321845554980864 322823384357976 336859183677888 351505235142144 362076249353472 363176307402723 366788071452672 378966581637624 382605492572416 395443389534912 399240513988608 430431179143968 449145578237184 468673646856192 482768332471296 484235076536964 505288775516832 527257852713216 550182107179008 568449872456436 573908238858624 598860770982912 643691109961728 645646768715952 673718367355776 703010470284288 724152498706944 726352614805446 757933163275248 765210985144832 790886779069824 798481027977216 860862358287936 898291156474368 937347293712384 965536664942592 968470153073928 1010577551033664 1054515705426432 1089528922208169 1100364214358016 1136899744912872 1147816477717248 1197721541965824 1291293537431904 1347436734711552 1406020940568576 1448304997413888 1452705229610892 1515866326550496 1530421970289664 1581773558139648 1721724716575872 1796582312948736 1931073329885184 1936940306147856 2021155102067328 2109031410852864 2179057844416338 2273799489825744 2295632955434496 2395443083931648 2582587074863808 2694873469423104 2812041881137152 2896609994827776 2905410459221784 3031732653100992 3060843940579328 3163547116279296 3268586766624507 3443449433151744 3593164625897472 3873880612295712 4042310204134656 4218062821705728 4358115688832676 4547598979651488 4591265910868992 5165174149727616 5389746938846208 5793219989655552 5810820918443568 6063465306201984 6121687881158656 6327094232558592 6537173533249014 6886898866303488 7186329251794944 7747761224591424 8084620408269312 8436125643411456 8716231377665352 9095197959302976 9182531821737984 10330348299455232 10779493877692416 11621641836887136 12126930612403968 12654188465117184 13074347066498028 13773797732606976 15495522449182848 16169240816538624 17432462755330704 18190395918605952 18365063643475968 20660696598910464 21558987755384832 23243283673774272 24253861224807936 25308376930234368 26148694132996056 27547595465213952 30991044898365696 32338481633077248 34864925510661408 36380791837211904 41321393197820928 46486567347548544 48507722449615872 52297388265992112 55095190930427904 61982089796731392 64676963266154496 69729851021322816 72761583674423808 82642786395641856 92973134695097088 97015444899231744 104594776531984224 123964179593462784 139459702042645632 145523167348847616 165285572791283712 185946269390194176 194030889798463488 209189553063968448 247928359186925568 278919404085291264 291046334697695232 371892538780388352 418379106127936896 495856718373851136 557838808170582528 582092669395390464 743785077560776704 836758212255873792 1115677616341165056 1487570155121553408 1673516424511747584 2231355232682330112 3347032849023495168 4462710465364660224 6694065698046990336 13388131396093980672
- Sum of all divisors σ(n): 41996689558741464240
- Sum of proper divisors (its aliquot sum) s(n): 28608558162647483568
- 13388131396093980672 is an abundant number, because the sum of its proper divisors (28608558162647483568) is greater than itself. Its abundance is 15220426766553502896
Bases of 13388131396093980672
- Binary: 10111001110011000011001010010010010001100110111110110000000000002
- Hexadecimal: 0xB9CC3292466FB000
- Base-36: 2TPSWHRT1C000
Squares and roots of 13388131396093980672
- 13388131396093980672 squared (133881313960939806722) is 179242062279077359986849588590709571584
- 13388131396093980672 cubed (133881313960939806723) is 2399716281499148206616388665972512244740138269758296424448
-
The
square root of 13388131396093980672 is 3658979556.6652160065 -
The
cube root of 13388131396093980672 is 2374506.2771949679
Scales and comparisons
How big is 13388131396093980672?- 13,388,131,396,093,980,672 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,388,131,396,093,980,672 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 13388131396093980672 cubic inches would be around 197875.5 feet tall.
Recreational maths with 13388131396093980672
- 13388131396093980672 backwards is 27608939069313188331
- The number of decimal digits it has is: 20
- The sum of 13388131396093980672's digits is 90
- More coming soon!
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"Number 13388131396093980672 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 13388131396093980672 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/13388131396093980672/
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Numbermatics. 2024. "Number 13388131396093980672 - Facts about the integer". https://numbermatics.com/n/13388131396093980672/
The information we have on file for 13388131396093980672 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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