13042309716432000
13,042,309,716,432,000 is an even composite number composed of seven prime numbers multiplied together.
13042309716432000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13042309716432000:
27 × 33 × 53 × 29 × 31 × 2789 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 31 × 2789 × 12041)See below for interesting mathematical facts about the number 13042309716432000 from the Numbermatics database.
Names of 13042309716432000
- Cardinal: 13042309716432000 can be written as Thirteen quadrillion, forty-two trillion, three hundred nine billion, seven hundred sixteen million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.3042309716432 × 1016
Factors of 13042309716432000
Divisors of 13042309716432000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 31 32 36 40 45 48 50 54 58 60 62 64 72 75 80 87 90 93 96 100 108 116 120 124 125 128 135 144 145 150 155 160 174 180 186 192 200 216 225 232 240 248 250 261 270 279 288 290 300 310 320 348 360 372 375 384 400 432 435 450 464 465 480 496 500 522 540 558 576 580 600 620 640 675 696 720 725 744 750 775 783 800 837 864 870 899 900 928 930 960 992 1000 1044 1080 1116 1125 1152 1160 1200 1240 1305 1350 1392 1395 1440 1450 1488 1500 1550 1566 1600 1674 1728 1740 1798 1800 1856 1860 1920 1984 2000 2088 2160 2175 2232 2250 2320 2325 2400 2480 2610 2697 2700 2784 2789 2790 2880 2900 2976 3000 3100 3132 3200 3348 3375 3456 3480 3596 3600 3625 3712 3720 3875 3915 3968 4000 4176 4185 4320 4350 4464 4495 4500 4640 4650 4800 4960 5220 5394 5400 5568 5578 5580 5760 5800 5952 6000 6200 6264 6525 6696 6750 6960 6975 7192 7200 7250 7440 7750 7830 8000 8091 8352 8367 8370 8640 8700 8928 8990 9000 9280 9300 9600 9920 10440 10788 10800 10875 11136 11156 11160 11600 11625 11904 12000 12041 12400 12528 13050 13392 13485 13500 13920 13945 13950 14384 14400 14500 14880 15500 15660 16000 16182 16704 16734 16740 17280 17400 17856 17980 18000 18560 18600 19575 19840 20880 20925 21576 21600 21750 22312 22320 22475 23200 23250 24000 24082 24273 24800 25056 25101 26100 26784 26970 27000 27840 27890 27900 28768 28800 29000 29760 31000 31320 32364 32625 33408 33468 33480 34800 34875 35712 35960 36000 36123 37200 39150 40455 41760 41835 41850 43152 43200 43500 44624 44640 44950 46400 46500 48000 48164 48546 49600 50112 50202 52200 53568 53940 54000 55680 55780 55800 57536 58000 59520 60205 62000 62640 64728 65250 66936 66960 67425 69600 69725 69750 71920 72000 72246 74400 75303 78300 80881 80910 83520 83670 83700 86304 86400 86459 87000 89248 89280 89900 92800 93000 96328 97092 97875 99200 100224 100404 104400 104625 107136 107880 108000 108369 111560 111600 112375 115072 116000 120410 121365 124000 125280 125505 129456 130500 133872 133920 134850 139200 139450 139500 143840 144000 144492 148800 150606 156600 161762 161820 167040 167340 167400 172608 172918 174000 178496 178560 179800 180615 186000 192656 194184 195750 200808 202275 208800 209175 209250 215760 216000 216738 223120 223200 224750 232000 240820 242643 242730 248000 250560 251010 258912 259377 261000 267744 267840 269700 278400 278900 279000 287680 288984 297600 301025 301212 313200 323524 323640 325107 334680 334800 337125 345216 345836 348000 348625 349189 356992 359600 361230 372000 373271 376515 385312 388368 391500 401616 404405 404550 417600 418350 418500 431520 432000 432295 433476 446240 446400 449500 464000 481640 485286 485460 496000 501120 502020 517824 518754 522000 535488 535680 539400 541845 557800 558000 575360 577968 602050 602424 606825 626400 627525 647048 647280 650214 669360 669600 674250 691672 696000 697250 698378 719200 722460 727929 744000 746542 753030 770624 776736 778131 783000 803232 808810 809100 835200 836700 837000 863040 864590 866952 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28108426113 29015149536 29216643630 29227119300 30087732000 30169929600 30190531751 30224114100 31164419872 31175593920 31231584570 32239055040 32250614400 32474577000 33313690208 33582349000 33848698500 34639548800 34940592000 35059972356 36105278400 36268936920 36533899125 37350288000 37410712704 37477901484 37712412000 37780142625 38686866048 38955524840 38969492400 40116976000 40298818800 40313268000 41642112760 43299436000 43326334080 43824965445 45131598000 45336171150 46746629808 46763390880 46847376855 48358582560 48694406050 48711865500 49970535312 50283216000 50373523500 51959323200 52052640950 52589958534 53731758400 53751024000 54157917600 56216852226 58030299072 58433287260 58454238600 60175464000 60381063502 60448228200 62328839744 62351187840 62463169140 64478110080 64949154000 66627380416 67164698000 67697397000 70119944712 72210556800 72537873840 73041609075 73067798250 74955802968 75424824000 75560285250 77911049680 77938984800 78078961425 80597637600 80626536000 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260263204750 262949792670 268658792000 270789588000 271714785759 280479778848 281084261130 290151495360 292166436300 292271193000 299823211872 301905317510 302241141000 311644198720 311755939200 312315845700 322390550400 333136902080 350599723560 361052784000 362286381012 362689369200 365208045375 373973038464 374779014840 389555248400 389694924000 390394807125 399764282496 402988188000 416421127600 420719668272 438249654450 449734817808 452857976265 453361711500 467466298080 467633908800 468473768550 483048508016 483585825600 486944060500 499705353120 519593232000 520526409500 525899585340 537317584000 541579176000 543429571518 560959557696 562168522260 580302990720 584332872600 584542386000 599646423744 603810635020 604482282000 623288397440 624631691400 657374481675 666273804160 701199447120 702710652825 724572762024 725378738400 730416090750 749558029680 754763293775 779110496800 779389848000 780789614250 805976376000 815144357277 832842255200 841439336544 876499308900 899469635616 905715952530 906723423000 934932596160 935267817600 936947537100 966097016032 967171651200 973888121000 999410706240 1041052819000 1051799170680 1083158352000 1086859143036 1095624136125 1121919115392 1124337044520 1168665745200 1169084772000 1171184421375 1199292847488 1207621270040 1208964564000 1249263382800 1314748963350 1358573928795 1402398894240 1405421305650 1449145524048 1450757476800 1460832181500 1499116059360 1509526587550 1558220993600 1558779696000 1561579228500 1611952752000 1630288714554 1665684510400 1682878673088 1752998617800 1798939271232 1811431905060 1813446846000 1869865192320 1873895074200 1932194032064 1947776242000 1998821412480 2082105638000 2103598341360 2173718286072 2191248272250 2248674089040 2264289881325 2337331490400 2338169544000 2342368842750 2415242540080 2417929128000 2498526765600 2629497926700 2717147857590 2804797788480 2810842611300 2898291048096 2901514953600 2921664363000 2998232118720 3019053175100 3116441987200 3123158457000 3260577429108 3286872408375 3331369020800 3365757346176 3505997235600 3513553264125 3597878542464 3622863810120 3626893692000 3747790148400 3773816468875 3864388064128 3895552484000 4075721786385 4164211276000 4207196682720 4347436572144 4382496544500 4497348178080 4528579762650 4674662980800 4676339088000 4684737685500 4830485080160 4835858256000 4997053531200 5258995853400 5434295715180 5609595576960 5621685222600 5796582096192 5843328726000 5996464237440 6038106350200 6246316914000 6521154858216 6573744816750 6792869643975 7011994471200 7027106528250 7245727620240 7253787384000 7495580296800 7547632937750 7791104968000 8151443572770 8328422552000 8414393365440 8694873144288 8764993089000 8994696356160 9057159525300 9349325961600 9369475371000 9660970160320 9994107062400 10517991706800 10868591430360 11243370445200 11321449406625 11593164192384 11686657452000 12076212700400 12492633828000 13042309716432 13147489633500 13585739287950 14023988942400 14054213056500 14491455240480 14507574768000 14991160593600 15095265875500 15582209936000 16302887145540 16656845104000 16828786730880 17389746288576 17529986178000 17989392712320 18114319050600 18738950742000 19321940320640 20378608931925 21035983413600 21737182860720 22486740890400 22642898813250 23373314904000 24152425400800 24985267656000 26084619432864 26294979267000 27171478575900 28047977884800 28108426113000 28982910480960 29982321187200 30190531751000 32605774291080 33964348219875 34779492577152 35059972356000 36228638101200 37477901484000 40757217863850 42071966827200 43474365721440 44973481780800 45285797626500 46746629808000 48304850801600 49970535312000 52169238865728 52589958534000 54342957151800 56216852226000 57965820961920 60381063502000 65211548582160 67928696439750 70119944712000 72457276202400 74955802968000 81514435727700 84143933654400 86948731442880 89946963561600 90571595253000 96609701603200 101893044659625 104338477731456 105179917068000 108685914303600 112433704452000 120762127004000 130423097164320 135857392879500 140239889424000 144914552404800 149911605936000 163028871455400 173897462885760 181143190506000 203786089319250 210359834136000 217371828607200 224867408904000 241524254008000 260846194328640 271714785759000 289829104809600 326057742910800 362286381012000 407572178638500 420719668272000 434743657214400 449734817808000 483048508016000 521692388657280 543429571518000 652115485821600 724572762024000 815144357277000 869487314428800 1086859143036000 1304230971643200 1449145524048000 1630288714554000 2173718286072000 2608461943286400 3260577429108000 4347436572144000 6521154858216000 13042309716432000
- Sum of all divisors σ(n): 51321439503360000
- Sum of proper divisors (its aliquot sum) s(n): 38279129786928000
- 13042309716432000 is an abundant number, because the sum of its proper divisors (38279129786928000) is greater than itself. Its abundance is 25236820070496000
Bases of 13042309716432000
- Binary: 1011100101010111101001010111011011001011010100100000002
- Hexadecimal: 0x2E55E95DB2D480
- Base-36: 3KF42DAPEO0
Squares and roots of 13042309716432000
- 13042309716432000 squared (130423097164320002) is 170101842739336556250810624000000
- 13042309716432000 cubed (130423097164320003) is 2218520916342237219047321326571572973568000000000
-
The
square root of 13042309716432000 is 114202932.1709035631 -
The
cube root of 13042309716432000 is 235388.2804941359
Scales and comparisons
How big is 13042309716432000?- 13,042,309,716,432,000 seconds is equal to 414,705,106 years, 24 weeks, 3 days.
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To count from 1 to 13,042,309,716,432,000 would take you about one billion, two hundred forty-four million, one hundred fifteen thousand, three hundred nineteen 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 13042309716432000 cubic inches would be around 19615.7 feet tall.
Recreational maths with 13042309716432000
- 13042309716432000 backwards is 00023461790324031
- 13042309716432000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13042309716432000's digits is 45
- More coming soon!
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The information we have on file for 13042309716432000 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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