13003451746943328
13,003,451,746,943,328 is an even composite number composed of six prime numbers multiplied together.
13003451746943328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13003451746943328:
25 × 34 × 113 × 17 × 29 × 1973
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 17 × 29 × 197 × 197 × 197)See below for interesting mathematical facts about the number 13003451746943328 from the Numbermatics database.
Names of 13003451746943328
- Cardinal: 13003451746943328 can be written as Thirteen quadrillion, three trillion, four hundred fifty-one billion, seven hundred forty-six million, nine hundred forty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3003451746943328 × 1016
Factors of 13003451746943328
Divisors of 13003451746943328
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 29 32 33 34 36 44 48 51 54 58 66 68 72 81 87 88 96 99 102 108 116 121 132 136 144 153 162 174 176 187 197 198 204 216 232 242 261 264 272 288 297 306 319 324 348 352 363 374 394 396 408 432 459 464 484 493 522 528 544 561 591 594 612 638 648 696 726 748 783 788 792 816 864 891 918 928 957 968 986 1044 1056 1089 1122 1182 1188 1224 1276 1296 1331 1377 1392 1452 1479 1496 1566 1576 1584 1632 1683 1773 1782 1836 1914 1936 1972 2057 2088 2167 2178 2244 2349 2364 2376 2448 2552 2592 2662 2754 2784 2871 2904 2958 2992 3132 3152 3168 3267 3349 3366 3509 3546 3564 3672 3828 3872 3944 3993 4114 4176 4334 4356 4437 4488 4698 4728 4752 4896 5049 5104 5319 5324 5423 5508 5713 5742 5808 5916 5984 6171 6264 6304 6501 6534 6698 6732 7018 7092 7128 7344 7656 7888 7986 8228 8352 8613 8668 8712 8874 8976 9396 9456 9504 9801 10047 10098 10208 10527 10638 10648 10846 11016 11426 11484 11616 11832 11979 12342 12528 13002 13068 13311 13396 13464 14036 14184 14256 14688 15147 15312 15776 15957 15972 16269 16456 17139 17226 17336 17424 17748 17952 18513 18792 18912 19503 19602 20094 20196 21054 21276 21296 21692 22032 22627 22852 22968 23664 23837 23958 24684 25056 25839 26004 26136 26622 26792 26928 28072 28368 28512 30141 30294 30624 31581 31914 31944 32538 32912 34278 34452 34672 34848 35496 35937 36839 37026 37584 38599 38809 39006 39204 39933 40188 40392 42108 42552 42592 43384 44064 45254 45704 45936 47328 47674 47916 48807 49368 51417 51678 52008 52272 53244 53584 53856 55539 56144 56736 58509 59653 60282 60588 62843 63162 63828 63888 65076 65824 67881 68556 68904 69344 70992 71511 71874 73678 74052 75168 77198 77618 78012 78408 79866 80376 80784 84216 85104 86768 90423 90508 91408 91872 94743 95348 95832 97121 97614 98736 102834 103356 104016 104544 106488 107168 107811 110517 111078 112288 115797 116427 117018 119306 120564 121176 125686 126324 127656 127776 130152 135762 137112 137808 141984 143022 143748 146421 147356 148104 154251 154396 155236 156024 156816 159732 160752 161568 166617 168432 170208 173536 175527 178959 180846 181016 182816 188529 189486 190696 191664 194242 195228 197472 203643 205668 206712 208032 212976 214533 215622 221034 222156 231594 232854 234036 238612 241128 242352 251372 252648 255312 260304 262207 271269 271524 274224 275616 284229 286044 287496 291363 292842 294712 296208 308502 308792 310472 312048 313632 319464 321504 331551 333234 336864 347391 349281 351054 357918 361692 362032 377058 378972 381392 383328 388484 390456 405229 407286 411336 413424 425952 426899 429066 431244 439263 442068 444312 462753 463188 465708 468072 477224 482256 484704 502744 505296 510624 520608 524414 536877 542538 543048 548448 565587 568458 572088 574992 582726 585684 589424 592416 610929 617004 617584 620944 624096 638928 643599 656183 659753 663102 666468 691273 694782 698562 702108 715836 723384 724064 754116 757944 762784 776968 780912 786621 810458 814572 822672 826848 853798 858132 862488 874089 878526 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3807531684 3831845424 3851296416 3990884706 4011143004 4036756944 4057248096 4132692792 4136577632 4159082912 4184037099 4289054253 4310826102 4357784992 4493965773 4541351562 4630146554 4653649836 4678968276 4702719384 4877747974 4902508116 4927393944 4954201704 4958858784 5051068968 5076708912 5268787458 5321179608 5348190672 5510257056 5550540798 5578716132 5682452589 5718739004 5747768136 5776944624 5986327059 5991954364 6055135416 6085872144 6199039188 6204866448 6238624368 6270292512 6466239153 6536677488 6569858592 6605602272 6734758624 6812027343 6945219831 6980474754 7018452414 7025049944 7094906144 7316621961 7353762174 7400721064 7438288176 7538337778 7576603452 7615063368 7663690848 7903181187 7981769412 8022286008 8073513888 8265385584 8325811197 8368074198 8578108506 8621652204 8987931546 9082703124 9260293108 9307299672 9357936552 9405438768 9755495948 9805016232 9854787888 9908403408 10102137936 10153417824 10175991463 10470712131 10527678621 10537574916 10642359216 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28100199776 29266487844 29415048696 29602884256 30153351112 30306413808 30460253472 30527974389 31453064522 31612724748 31927077648 32089144032 33303244788 33472296792 33922520001 34094715534 34312434024 34486608816 35917962354 35951726184 36330812496 37041172432 37229198688 37431746208 38601488277 39021983792 39220064928 40445691957 40703965852 41460857779 41671318986 41882848524 42110714484 42150299664 43899731766 44122573044 44404326384 44629729056 45230026668 45459620712 45749912032 47179596783 47419087122 47890616472 47935634912 49592313504 49954867182 50931612094 51468651036 51729913224 53655227714 53927589276 54496218744 55561758648 55843798032 56147619312 58532975688 58830097392 60306702224 60612827616 61055948778 62506978479 62906129044 63225449496 63854155296 65849597649 66606489576 66944593584 67845040002 68189431068 68624868048 68973217632 71128630683 71835924708 71903452368 72661624992 74082344864 74932300773 76397418141 77202976554 78043967584 80482841571 80891383914 81407931704 82921715558 83342637972 83765697048 84221428968 84300599328 87799463532 88245146088 88808652768 90460053336 90919241424 91583923167 94359193566 94838174244 95781232944 99909734364 101767560003 101863224188 102937302072 103459826448 107310455428 107855178552 108992437488 111123517296 111687596064 112295238624 115804464831 117065951376 117660194784 120613404448 121337075871 122111897556 124382573337 125013956958 125812258088 126450898992 131699195298 133212979152 133889187168 135690080004 136378862136 137249736096 141538790349 142257261366 143671849416 143806904736 149864601546 152794836282 154405953108 160965683142 161782767828 162815863408 165843431116 166685275944 167531394096 168442857936 172991854871 175598927064 176490292176 180920106672 181838482848 183167846334 187520935437 188718387132 189676348488 191562465888 197548792947 199819468728 203535120006 203726448376 205874604144 206919652896 214620910856 215710357104 217984874976 222247034592 229192254423 231608929662 234131902752 241448524713 242674151742 244223795112 248765146674 250027913916 251624516176 252901797984 263398390596 266425958304 271380160008 272757724272 274751769501 283077580698 284514522732 287343698832 295103752427 299729203092 305302680009 305589672564 308811906216 321931366284 323565535656 325631726816 331686862232 333370551888 335062788192 336885715872 345983709742 351197854128 352980584352 361840213344 366335692668 373147720011 375041870874 377436774264 379352696976 395097585894 399638937456 407070240012 407452896752 411749208288 424616371047 429241821712 431420714208 456069435569 458384508846 463217859324 482897049426 485348303484 488447590224 497530293348 500055827832 503249032352 518975564613 526796781192 542760320016 545515448544 549503539002 566155161396 569029045464 574687397664 590207504854 599458406184 610605360018 611179345128 617623812432 643862732568 647131071312 663373724464 666741103776 687576763269 691967419484 702395708256 724345574139 732671385336 746295440022 750083741748 754873548528 758705393952 790195171788 799277874912 814140480024 814905793504 824255308503 849232742094 858483643424 885311257281 912138871138 916769017692 926435718648 965794098852 970696606968 976895180448 995060586696 1000111655664 1037951129226 1053593562384 1085520640032 1099007078004 1119443160033 1132310322792 1138058090928 1180415009708 1198916812368 1221210720036 1222358690256 1235247624864 1273849113141 1287725465136 1294262142624 1326747448928 1368208306707 1375153526538 1383934838968 1448691148278 1465342770672 1492590880044 1500167483496 1509747097056 1556926693839 1580390343576 1628280960048 1648510617006 1698465484188 1770622514562 1824277742276 1833538035384 1852871437296 1931588197704 1941393213936 1990121173392 2000223311328 2062730289807 2075902258452 2107187124768 2173036722417 2198014156008 2238886320066 2264620645584 2276116181856 2360830019416 2397833624736 2442421440072 2444717380512 2547698226282 2575450930272 2655933771843 2736416613414 2750307053076 2767869677936 2897382296556 2930685541344 2985181760088 3000334966992 3113853387678 3160780687152 3256561920096 3297021234012 3358329480099 3396930968376 3541245029124 3648555484552 3667076070768 3705742874592 3863176395408 3882786427872 3980242346784 4104624920121 4125460579614 4151804516904 4346073444834 4396028312016 4477772640132 4529241291168 4670780081517 4721660038832 4884842880144 5016763791259 5095396452564 5311867543686 5472833226828 5500614106152 5535739355872 5794764593112 5970363520176 6000669933984 6227706775356 6321561374304 6594042468024 6716658960198 6793861936752 7082490058248 7297110969104 7334152141536 7726352790816 7967801315529 8209249840242 8250921159228 8303609033808 8692146889668 8792056624032 8955545280264 9341560163034 9443320077664 9769685760288 10033527582518 10190792905128 10623735087372 10945666453656 11001228212304 11589529186224 11940727040352 12313874760363 12455413550712 13188084936048 13433317920396 13587723873504 14012340244551 14164980116496 14594221938208 15050291373777 15935602631058 16418499680484 16501842318456 16607218067616 17384293779336 17911090560528 18683120326068 20067055165036 20381585810256 21247470174744 21891332907312 22002456424608 23179058372448 23903403946587 24627749520726 24910827101424 26376169872096 26866635840792 28024680489102 28329960232992 30100582747554 31871205262116 32836999360968 33003684636912 34768587558672 35822181121056 36941624281089 37366240652136 40134110330072 40763171620512 42494940349488 43782665814624 45150874121331 47806807893174 49255499041452 49821654202848 53733271681584 56049360978204 60201165495108 63742410524232 65673998721936 66007369273824 69537175117344 73883248562178 74732481304272 80268220660144 84989880698976 90301748242662 95613615786348 98510998082904 107466543363168 112098721956408 120402330990216 127484821048464 131347997443872 135452622363993 147766497124356 149464962608544 160536441320288 180603496485324 191227231572696 197021996165808 224197443912816 240804661980432 254969642096928 270905244727986 295532994248712 361206992970648 382454463145392 394043992331616 406357867091979 448394887825632 481609323960864 541810489455972 591065988497424 722413985941296 764908926290784 812715734183958 1083620978911944 1182131976994848 1444827971882592 1625431468367916 2167241957823888 3250862936735832 4334483915647776 6501725873471664 13003451746943328
- Sum of all divisors σ(n): 46309446400694400
- Sum of proper divisors (its aliquot sum) s(n): 33305994653751072
- 13003451746943328 is an abundant number, because the sum of its proper divisors (33305994653751072) is greater than itself. Its abundance is 20302542906807744
Bases of 13003451746943328
- Binary: 1011100011001010010010000010100011101100000001011000002
- Hexadecimal: 0x2E32920A3B0160
- Base-36: 3K1C79IYE00
Squares and roots of 13003451746943328
- 13003451746943328 squared (130034517469433282) is 169089757335083488774191243715584
- 13003451746943328 cubed (130034517469433283) is 2198750500409114801763918165129702569761398423552
-
The
square root of 13003451746943328 is 114032678.4169490951 -
The
cube root of 13003451746943328 is 235154.2777312831
Scales and comparisons
How big is 13003451746943328?- 13,003,451,746,943,328 seconds is equal to 413,469,543 years, 12 weeks, 1 day, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,003,451,746,943,328 would take you about one billion, two hundred forty million, four hundred eight thousand, six hundred twenty-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 13003451746943328 cubic inches would be around 19596.2 feet tall.
Recreational maths with 13003451746943328
- 13003451746943328 backwards is 82334964715430031
- The number of decimal digits it has is: 17
- The sum of 13003451746943328's digits is 63
- More coming soon!
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"Number 13003451746943328 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13003451746943328 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13003451746943328/
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Numbermatics. 2024. "Number 13003451746943328 - Facts about the integer". https://numbermatics.com/n/13003451746943328/
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