13801148028060800
13,801,148,028,060,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13801148028060800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13801148028060800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13801148028060800:
27 × 52 × 11 × 19 × 37 × 101 × 5521993
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 19 × 37 × 101 × 5521993)See below for interesting mathematical facts about the number 13801148028060800 from the Numbermatics database.
Names of 13801148028060800
- Cardinal: 13801148028060800 can be written as Thirteen quadrillion, eight hundred one trillion, one hundred forty-eight billion, twenty-eight million, sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38011480280608 × 1016
Factors of 13801148028060800
Divisors of 13801148028060800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 37 38 40 44 50 55 64 74 76 80 88 95 100 101 110 128 148 152 160 176 185 190 200 202 209 220 275 296 304 320 352 370 380 400 404 407 418 440 475 505 550 592 608 640 703 704 740 760 800 808 814 836 880 925 950 1010 1045 1100 1111 1184 1216 1406 1408 1480 1520 1600 1616 1628 1672 1760 1850 1900 1919 2020 2035 2090 2200 2222 2368 2432 2525 2812 2960 3040 3200 3232 3256 3344 3515 3520 3700 3737 3800 3838 4040 4070 4180 4400 4444 4736 5050 5225 5555 5624 5920 6080 6464 6512 6688 7030 7040 7400 7474 7600 7676 7733 8080 8140 8360 8800 8888 9595 10100 10175 10450 11110 11248 11840 12160 12928 13024 13376 14060 14800 14948 15200 15352 15466 16160 16280 16720 17575 17600 17776 18685 19190 20200 20350 20900 21109 22220 22496 23680 26048 26752 27775 28120 29600 29896 30400 30704 30932 32320 32560 33440 35150 35200 35552 37370 38380 38665 40400 40700 41107 41800 42218 44440 44992 47975 52096 55550 56240 59200 59792 60800 61408 61864 64640 65120 66880 70300 71003 71104 74740 76760 77330 80800 81400 82214 83600 84436 88880 89984 93425 95950 105545 111100 112480 118400 119584 122816 123728 130240 133760 140600 142006 142208 149480 153520 154660 161600 162800 164428 167200 168872 177760 186850 191900 193325 205535 211090 222200 224960 239168 245632 247456 260480 281200 284012 298960 307040 309320 323200 325600 328856 334400 337744 355015 355520 373700 383800 386650 411070 422180 444400 449920 478336 494912 527725 562400 568024 597920 614080 618640 651200 657712 668800 675488 710030 711040 747400 767600 773300 781033 822140 844360 888800 989824 1027675 1055450 1124800 1136048 1195840 1228160 1237280 1302400 1315424 1350976 1420060 1494800 1535200 1546600 1562066 1644280 1688720 1775075 1777600 2055350 2110900 2249600 2272096 2391680 2474560 2630848 2701952 2840120 2989600 3070400 3093200 3124132 3288560 3377440 3550150 3555200 3905165 4110700 4221800 4544192 4949120 5261696 5521993 5680240 5979200 6140800 6186400 6248264 6577120 6754880 7100300 7810330 8221400 8443600 9088384 11043986 11360480 11958400 12372800 12496528 13154240 13509760 14200600 15620660 16442800 16887200 19525825 22087972 22720960 24745600 24993056 26308480 27609965 28401200 31241320 32885600 33774400 39051650 44175944 45441920 49986112 55219930 56802400 60741923 62482640 65771200 67548800 78103300 88351888 99972224 104917867 110439860 113604800 121483846 124965280 131542400 138049825 156206600 176703776 204313741 209835734 220879720 227209600 242967692 249930560 276099650 303709615 312413200 353407552 408627482 419671468 441759440 485935384 499861120 524589335 552199300 557721293 607419230 624826400 706815104 817254964 839342936 883518880 971870768 1021568705 1049178670 1104398600 1115442586 1154096537 1214838460 1249652800 1518548075 1634509928 1678685872 1767037760 1943741536 2043137410 2098357340 2208797200 2230885172 2247451151 2308193074 2429676920 2499305600 2622946675 2788606465 3037096150 3269019856 3357371744 3534075520 3881961079 3887483072 4086274820 4196714680 4417594400 4461770344 4494902302 4616386148 4859353840 5107843525 5245893350 5577212930 5770482685 6074192300 6134934223 6538039712 6714743488 7763922158 7774966144 8172549640 8393429360 8835188800 8923540688 8989804604 9232772296 9718707680 10215687050 10491786700 10596704567 11154425860 11237255755 11540965370 12148384600 12269868446 13076079424 13429486976 13943032325 15527844316 16345099280 16786858720 17670377600 17847081376 17979609208 18465544592 19409805395 19437415360 20431374100 20635687841 20983573400 21193409134 22308851720 22474511510 23081930740 24296769200 24539736892 26152158848 27886064650 28852413425 30674671115 31055688632 32690198560 33573717440 35694162752 35959218416 36931089184 38819610790 38874830720 40862748200 41271375682 41967146800 42386818268 42701571869 44617703440 44949023020 46163861480 48593538400 49079473784 52983522835 55772129300 56186278775 57704826850 61349342230 62111377264 65380397120 67147434880 71388325504 71918436832 73862178368 77639221580 81725496400 82542751364 83934293600 84773636536 85403143738 89235406880 89898046040 92327722960 97049026975 97187076800 98158947568 103178439205 105967045670 111544258600 112372557550 115409653700 116563750237 122698684460 124222754528 130760794240 143836873664 147724356736 153373355575 155278443160 163450992800 165085502728 167868587200 169547273072 170806287476 178470813760 179796092080 184655445920 194098053950 194374153600 196317895136 206356878410 211934091340 213507859345 223088517200 224745115100 226992566251 230819307400 233127500474 245397368920 248445509056 264917614175 287673747328 306746711150 310556886320 326901985600 330171005456 335737174400 339094546144 341612574952 356941627520 359592184160 369310891840 388196107900 392078068979 392635790272 412713756820 423868182680 427015718690 446177034400 449490230200 453985132502 461638614800 466255000948 490794737840 496891018112 515892196025 529835228350 582818751185 613493422300 621113772640 653803971200 660342010912 678189092288 683225149904 719184368320 738621783680 776392215800 784156137958 785271580544 825427513640 847736365360 854031437380 892354068800 898980460400 907970265004 923277229600 932510001896 981589475680 1031784392050 1059670456700 1067539296725 1134962831255 1165637502370 1226986844600 1242227545280 1320684021824 1356378184576 1366450299808 1438368736640 1552784431600 1568312275916 1650855027280 1695472730720 1708062874760 1784708137600 1797960920800 1815940530008 1846554459200 1865020003792 1960390344895 1963178951360 2063568784100 2119340913400 2135078593450 2269925662510 2331275004740 2453973689200 2484455090560 2641368043648 2732900599616 2914093755925 3105568863200 3136624551832 3301710054560 3390945461440 3416125749520 3595921841600 3631881060016 3693108918400 3730040007584 3920780689790 3926357902720 4127137568200 4238681826800 4270157186900 4312858758769 4539851325020 4662550009480 4907947378400 5465801199232 5674814156275 5828187511850 6211137726400 6273249103664 6603420109120 6781890922880 6832251499040 7191843683200 7263762120032 7460080015168 7841561379580 8254275136400 8477363653600 8540314373800 8625717517538 9079702650040 9325100018960 9801951724475 9815894756800 11349628312550 11656375023700 12422275452800 12546498207328 13206840218240 13664502998080 14527524240064 14920160030336 15683122759160 16508550272800 16954727307200 17080628747600 17251435035076 18159405300080 18650200037920 19603903448950 19631789513600 21564293793845 22699256625100 23312750047400 25092996414656 27329005996160 29055048480128 31366245518320 33017100545600 33909454614400 34161257495200 34502870070152 36318810600160 37300400075840 39207806897900 43128587587690 45398513250200 46625500094800 50185992829312 62732491036640 66034201091200 68322514990400 69005740140304 72637621200320 74600800151680 78415613795800 86257175175380 90797026500400 93251000189600 107821468969225 125464982073280 136645029980800 138011480280608 145275242400640 156831227591600 172514350350760 181594053000800 186502000379200 215642937938450 250929964146560 276022960561216 313662455183200 345028700701520 363188106001600 373004000758400 431285875876900 552045921122432 627324910366400 690057401403040 726376212003200 862571751753800 1254649820732800 1380114802806080 1725143503507600 2760229605612160 3450287007015200 6900574014030400 13801148028060800
- Sum of all divisors σ(n): 40606243517116800
- Sum of proper divisors (its aliquot sum) s(n): 26805095489056000
- 13801148028060800 is an abundant number, because the sum of its proper divisors (26805095489056000) is greater than itself. Its abundance is 13003947460995200
Bases of 13801148028060800
- Binary: 1100010000100000010010001011011011010010000100100000002
- Hexadecimal: 0x3108122DB48480
- Base-36: 3RW3JVKTP4W
Squares and roots of 13801148028060800
- 13801148028060800 squared (138011480280608002) is 190471686892446508384208496640000
- 13801148028060800 cubed (138011480280608003) is 2628727945957102255845265307453740502515712000000
-
The
square root of 13801148028060800 is 117478287.4750087595 -
The
cube root of 13801148028060800 is 239867.6818550439
Scales and comparisons
How big is 13801148028060800?- 13,801,148,028,060,800 seconds is equal to 438,833,817 years, 28 weeks, 53 minutes, 20 seconds.
-
To count from 1 to 13,801,148,028,060,800 would take you about one billion, three hundred sixteen million, five hundred one thousand, four hundred fifty-two 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 13801148028060800 cubic inches would be around 19989 feet tall.
Recreational maths with 13801148028060800
- 13801148028060800 backwards is 00806082084110831
- 13801148028060800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13801148028060800's digits is 50
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13801148028060800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 13801148028060800 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/13801148028060800/
Chicago style:
Numbermatics. 2024. "Number 13801148028060800 - Facts about the integer". https://numbermatics.com/n/13801148028060800/
The information we have on file for 13801148028060800 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 13801148028060800, math, Factors of 13801148028060800, curriculum, school, college, exams, university, Prime factorization of 13801148028060800, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred one trillion, one hundred forty-eight billion, twenty-eight million, sixty thousand, eight hundred.