13166446469990400
13,166,446,469,990,400 is an even composite number composed of six prime numbers multiplied together.
13166446469990400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13166446469990400:
211 × 33 × 52 × 192 × 3221 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 19 × 19 × 3221 × 8191)See below for interesting mathematical facts about the number 13166446469990400 from the Numbermatics database.
Names of 13166446469990400
- Cardinal: 13166446469990400 can be written as Thirteen quadrillion, one hundred sixty-six trillion, four hundred forty-six billion, four hundred sixty-nine million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.31664464699904 × 1016
Factors of 13166446469990400
Divisors of 13166446469990400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 90 95 96 100 108 114 120 128 135 144 150 152 160 171 180 190 192 200 216 225 228 240 256 270 285 288 300 304 320 342 360 361 380 384 400 432 450 456 475 480 512 513 540 570 576 600 608 640 675 684 720 722 760 768 800 855 864 900 912 950 960 1024 1026 1080 1083 1140 1152 1200 1216 1280 1350 1368 1425 1440 1444 1520 1536 1600 1710 1728 1800 1805 1824 1900 1920 2048 2052 2160 2166 2280 2304 2400 2432 2560 2565 2700 2736 2850 2880 2888 3040 3072 3200 3221 3249 3420 3456 3600 3610 3648 3800 3840 4104 4275 4320 4332 4560 4608 4800 4864 5120 5130 5400 5415 5472 5700 5760 5776 6080 6144 6400 6442 6498 6840 6912 7200 7220 7296 7600 7680 8191 8208 8550 8640 8664 9025 9120 9216 9600 9663 9728 9747 10240 10260 10800 10830 10944 11400 11520 11552 12160 12800 12825 12884 12996 13680 13824 14400 14440 14592 15200 15360 16105 16245 16382 16416 17100 17280 17328 18050 18240 18432 19200 19326 19456 19494 20520 21600 21660 21888 22800 23040 23104 24320 24573 25600 25650 25768 25992 27075 27360 27648 28800 28880 28989 29184 30400 30720 32210 32490 32764 32832 34200 34560 34656 36100 36480 38400 38652 38912 38988 40955 41040 43200 43320 43776 45600 46080 46208 48315 48640 48735 49146 51200 51300 51536 51984 54150 54720 55296 57600 57760 57978 58368 60800 61199 64420 64980 65528 65664 68400 69120 69312 72200 72960 73719 76800 77304 77976 80525 81225 81910 82080 86400 86640 86967 87552 91200 92160 92416 96630 97280 97470 98292 102600 103072 103968 108300 109440 115200 115520 115956 116736 121600 122398 122865 128840 129960 131056 131328 136800 138240 138624 144400 144945 145920 147438 153600 154608 155629 155952 161050 162450 163820 164160 172800 173280 173934 175104 182400 183597 184832 193260 194560 194940 196584 204775 205200 206144 207936 216600 218880 221157 230400 231040 231912 241575 243200 243675 244796 245730 257680 259920 262112 262656 273600 276480 277248 288800 289890 291840 294876 305995 309216 311258 311904 322100 324900 327640 328320 345600 346560 347868 350208 364800 367194 368595 369664 386520 389880 393168 409550 410400 412288 415872 433200 434835 437760 442314 460800 462080 463824 466887 483150 486400 487350 489592 491460 515360 519840 524224 525312 547200 550791 554496 577600 579780 583680 589752 611990 614325 618432 622516 623808 644200 649800 655280 656640 691200 693120 695736 724725 729600 734388 737190 739328 773040 778145 779760 786336 819100 820800 824576 831744 866400 869670 875520 884628 917985 924160 927648 933774 966300 972800 974700 979184 982920 1030720 1039680 1048448 1050624 1094400 1101582 1105785 1108992 1155200 1159560 1162781 1179504 1223980 1228650 1236864 1245032 1247616 1288400 1299600 1310560 1313280 1382400 1386240 1391472 1400661 1449450 1459200 1468776 1474380 1529975 1546080 1556290 1559520 1572672 1638200 1641600 1649152 1652373 1663488 1732800 1739340 1751040 1769256 1835970 1842975 1848320 1855296 1867548 1932600 1949400 1958368 1965840 2061440 2079360 2096896 2174175 2188800 2203164 2211570 2217984 2310400 2319120 2325562 2334435 2359008 2447960 2457300 2473728 2490064 2495232 2576800 2599200 2621120 2626560 2753955 2772480 2782944 2801322 2898900 2918400 2937552 2948760 2956951 3059950 3092160 3112580 3119040 3145344 3276400 3283200 3298304 3304746 3326976 3465600 3478680 3488343 3538512 3671940 3685950 3696640 3710592 3735096 3865200 3890725 3898800 3916736 3931680 4122880 4158720 4193792 4201983 4348350 4377600 4406328 4423140 4589925 4620800 4638240 4651124 4668870 4718016 4895920 4914600 4947456 4980128 4990464 5153600 5198400 5242240 5253120 5507910 5528925 5544960 5565888 5602644 5797800 5813905 5875104 5897520 5913902 6119900 6184320 6225160 6238080 6290688 6552800 6566400 6596608 6609492 6653952 6931200 6957360 6976686 7003305 7077024 7343880 7371900 7421184 7470192 7730400 7781450 7797600 7833472 7863360 8245760 8261865 8317440 8387584 8403966 8696700 8755200 8812656 8846280 8870853 9179850 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28493867880 28573017513 29767193600 30076860540 30279178240 30393459072 31659853200 31935070800 32081984576 32148569088 33488092800 33770510080 34064075520 35617334850 35720632320 35856921600 36092232648 37596075675 37848972800 37991823840 38097356684 40102480720 40185711360 40524612096 40876890624 42213137600 42300748800 42580094400 43028305920 44650790400 45115290810 45418767360 45590188608 47489779800 47621695855 48122976864 50128100900 50232139200 50655765120 51096113280 53580948480 53785382400 54032816128 54138348972 54502520832 56773459200 56987735760 57146035026 59534387200 60153721080 60786918144 63319706400 63870141600 64163969152 64297138176 66976185600 67541020160 67672936215 68128151040 71234669700 71713843200 72184465296 75192151350 75697945600 75983647680 76194713368 80204961440 80371422720 81049224192 81753781248 84426275200 84601497600 85160188800 85719052539 89301580800 90230581620 90837534720 91180377216 94979559600 95243391710 96245953728 100256201800 100464278400 101311530240 102192226560 107161896960 107570764800 108276697944 112788227025 113546918400 113975471520 114292070052 120307442160 121573836288 126639412800 127740283200 128327938304 133952371200 135082040320 135345872430 136256302080 142469339400 142865087565 144368930592 150384302700 151395891200 151967295360 152389426736 160409922880 160742845440 162098448384 163507562496 168852550400 170320377600 171438105078 178603161600 180461163240 182360754432 189959119200 190486783420 192491907456 200512403600 200928556800 202623060480 204384453120 215141529600 216553395888 225576454050 227093836800 227950943040 228584140104 238108479275 240614884320 243147672576 253278825600 255480566400 256655876608 257157157617 267904742400 270164080640 270691744860 272512604160 284938678800 285730175130 288737861184 300768605400 303934590720 304778853472 320819845760 321485690880 337705100800 338364681075 340640755200 342876210156 360922326480 364721508864 379918238400 380973566840 384983814912 401024807200 401857113600 405246120960 408768906240 428595262695 433106791776 451152908100 454187673600 455901886080 457168280208 476216958550 481229768640 486295345152 506557651200 510961132800 513311753216 514314315234 535809484800 541383489720 569877357600 571460350260 577475722368 601537210800 607869181440 609557706944 641639691520 675410201600 676729362150 681281510400 685752420312 714325437825 721844652960 729443017728 759836476800 761947133680 769967629824 802049614400 803714227200 810492241920 817537812480 857190525390 866213583552 902305816200 911803772160 914336560416 952433917100 962459537280 1013115302400 1021922265600 1026623506432 1028628630468 1082766979440 1139754715200 1142920700520 1154951444736 1203074421600 1215738362880 1219115413888 1283279383040 1285785788085 1350820403200 1353458724300 1362563020800 1371504840624 1428650875650 1443689305920 1458886035456 1519672953600 1523894267360 1539935259648 1604099228800 1607428454400 1714381050780 1732427167104 1804611632400 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11549514447360 12157383628800 12191154138880 12832793830400 12857857880850 13715048406240 13859417336832 14436893059200 14629384966656 15238942673600 15399352596480 16458058087488 17143810507800 17324271671040 18236075443200 18286731208320 19249190745600 19505846622208 20572572609360 21655339588800 21944077449984 22858414010400 23099028894720 24382308277760 25665587660800 25715715761700 27430096812480 27718834673664 28873786118400 29258769933312 30477885347200 32916116174976 34287621015600 34648543342080 36472150886400 36573462416640 38498381491200 41145145218720 43310679177600 43888154899968 45716828020800 46198057789440 48764616555520 51431431523400 54860193624960 57747572236800 58517539866624 60955770694400 65832232349952 68575242031200 69297086684160 73146924833280 76996762982400 82290290437440 86621358355200 87776309799936 91433656041600 97529233111040 102862863046800 109720387249920 115495144473600 121911541388800 131664464699904 137150484062400 138594173368320 146293849666560 164580580874880 173242716710400 175552619599872 182867312083200 205725726093600 219440774499840 230990288947200 243823082777600 263328929399808 274300968124800 292587699333120 329161161749760 346485433420800 365734624166400 411451452187200 438881548999680 487646165555200 526657858799616 548601936249600 658322323499520 692970866841600 731469248332800 822902904374400 877763097999360 1097203872499200 1316644646999040 1462938496665600 1645805808748800 2194407744998400 2633289293998080 3291611617497600 4388815489996800 6583223234995200 13166446469990400
- Sum of all divisors σ(n): 51064142885683200
- Sum of proper divisors (its aliquot sum) s(n): 37897696415692800
- 13166446469990400 is an abundant number, because the sum of its proper divisors (37897696415692800) is greater than itself. Its abundance is 24731249945702400
Bases of 13166446469990400
- Binary: 1011101100011011010000001101001100110001001000000000002
- Hexadecimal: 0x2EC6D034CC4800
- Base-36: 3LN4608NPC0
Squares and roots of 13166446469990400
- 13166446469990400 squared (131664464699904002) is 173355312647122665127776092160000
- 13166446469990400 cubed (131664464699904003) is 2282473444256790358927187249985200024715264000000
-
The
square root of 13166446469990400 is 114745137.0210973255 -
The
cube root of 13166446469990400 is 236132.7324175435
Scales and comparisons
How big is 13166446469990400?- 13,166,446,469,990,400 seconds is equal to 418,652,271 years, 13 weeks, 1 day.
-
To count from 1 to 13,166,446,469,990,400 would take you about one billion, two hundred fifty-five million, nine hundred fifty-six thousand, eight hundred thirteen 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 13166446469990400 cubic inches would be around 19677.7 feet tall.
Recreational maths with 13166446469990400
- 13166446469990400 backwards is 00409996464466131
- 13166446469990400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13166446469990400's digits is 72
- More coming soon!
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"Number 13166446469990400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 13166446469990400 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/13166446469990400/
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The information we have on file for 13166446469990400 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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