13725410189990400
13,725,410,189,990,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13725410189990400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 600 divisors.
13725410189990400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 13725410189990400:
29 × 34 × 52 × 11 × 1203476623
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 1203476623)See below for interesting mathematical facts about the number 13725410189990400 from the Numbermatics database.
Names of 13725410189990400
- Cardinal: 13725410189990400 can be written as Thirteen quadrillion, seven hundred twenty-five trillion, four hundred ten billion, one hundred eighty-nine million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.37254101899904 × 1016
Factors of 13725410189990400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 1203476644
Divisors of 13725410189990400
- Number of divisors d(n): 600
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 256 264 270 275 288 297 300 320 324 330 352 360 384 396 400 405 432 440 450 480 495 512 528 540 550 576 594 600 640 648 660 675 704 720 768 792 800 810 825 864 880 891 900 960 990 1056 1080 1100 1152 1188 1200 1280 1296 1320 1350 1408 1440 1485 1536 1584 1600 1620 1650 1728 1760 1782 1800 1920 1980 2025 2112 2160 2200 2304 2376 2400 2475 2560 2592 2640 2700 2816 2880 2970 3168 3200 3240 3300 3456 3520 3564 3600 3840 3960 4050 4224 4320 4400 4455 4608 4752 4800 4950 5184 5280 5400 5632 5760 5940 6336 6400 6480 6600 6912 7040 7128 7200 7425 7680 7920 8100 8448 8640 8800 8910 9504 9600 9900 10368 10560 10800 11520 11880 12672 12800 12960 13200 13824 14080 14256 14400 14850 15840 16200 16896 17280 17600 17820 19008 19200 19800 20736 21120 21600 22275 23040 23760 25344 25920 26400 28160 28512 28800 29700 31680 32400 34560 35200 35640 38016 38400 39600 41472 42240 43200 44550 47520 50688 51840 52800 57024 57600 59400 63360 64800 69120 70400 71280 76032 79200 84480 86400 89100 95040 103680 105600 114048 115200 118800 126720 129600 140800 142560 152064 158400 172800 178200 190080 207360 211200 228096 237600 253440 259200 285120 316800 345600 356400 380160 422400 456192 475200 518400 570240 633600 712800 760320 950400 1036800 1140480 1267200 1425600 1900800 2280960 2851200 3801600 5702400 11404800 1203476623 2406953246 3610429869 4813906492 6017383115 7220859738 9627812984 10831289607 12034766230 13238242853 14441719476 18052149345 19255625968 21662579214 24069532460 26476485706 28883438952 30086915575 32493868821 36104298690 38511251936 39714728559 43325158428 48139064920 52952971412 54156448035 57766877904 60173831150 64987737642 66191214265 72208597380 77022503872 79429457118 86650316856 90260746725 96278129840 97481606463 105905942824 108312896070 115533755808 119144185677 120347662300 129975475284 132382428530 144417194760 154045007744 158858914236 162469344105 173300633712 180521493450 192556259680 194963212926 198573642795 211811885648 216625792140 231067511616 238288371354 240695324600 259950950568 264764857060 270782240175 288834389520 308090015488 317717828472 324938688210 330956071325 346601267424 357432557031 361042986900 385112519360 389926425852 397147285590 423623771296 433251584280 462135023232 476576742708 481390649200 487408032315 519901901136 529529714120 541564480350 577668779040 595720928385 616180030976 635435656944 649877376420 661912142650 693202534848 714865114062 722085973800 770225038720 779852851704 794294571180 812346720525 847247542592 866503168560 924270046464 953153485416 962781298400 974816064630 992868213975 1039803802272 1059059428240 1072297671093 1083128960700 1155337558080 1191441856770 1270871313888 1299754752840 1323824285300 1386405069696 1429730228124 1444171947600 1540450077440 1559705703408 1588589142360 1624693441050 1694495085184 1733006337120 1787162785155 1848540092928 1906306970832 1925562596800 1949632129260 1985736427950 2079607604544 2118118856480 2144595342186 2166257921400 2310675116160 2382883713540 2437040161575 2541742627776 2599509505680 2647648570600 2772810139392 2859460456248 2888343895200 2978604641925 3080900154880 3119411406816 3177178284720 3249386882100 3388990170368 3466012674240 3574325570310 3812613941664 3851125193600 3899264258520 3971472855900 4159215209088 4236237712960 4289190684372 4332515842800 4621350232320 4765767427080 4874080323150 5083485255552 5199019011360 5295297141200 5361488355465 5545620278784 5718920912496 5776687790400 5957209283850 6238822813632 6354356569440 6498773764200 6777980340736 6932025348480 7148651140620 7625227883328 7702250387200 7798528517040 7942945711800 8318430418176 8472475425920 8578381368744 8665031685600 8935813925775 9242700464640 9531534854160 9748160646300 10166970511104 10398038022720 10590594282400 10722976710930 11437841824992 11553375580800 11914418567700 12477645627264 12708713138880 12997547528400 13864050696960 14297302281240 15250455766656 15404500774400 15597057034080 15885891423600 16636860836352 16944950851840 17156762737488 17330063371200 17871627851550 19063069708320 19496321292600 20333941022208 20796076045440 21181188564800 21445953421860 22875683649984 23106751161600 23828837135400 24955291254528 25417426277760 25995095056800 26807441777325 27728101393920 28594604562480 30500911533312 31194114068160 31771782847200 33889901703680 34313525474976 34660126742400 35743255703100 38126139416640 38992642585200 41592152090880 42362377129600 42891906843720 45751367299968 46213502323200 47657674270800 49910582509056 50834852555520 51990190113600 53614883554650 57189209124960 61001823066624 62388228136320 63543565694400 68627050949952 69320253484800 71486511406200 76252278833280 77985285170400 83184304181760 84724754259200 85783813687440 91502734599936 95315348541600 101669705111040 103980380227200 107229767109300 114378418249920 124776456272640 127087131388800 137254101899904 138640506969600 142973022812400 152504557666560 155970570340800 169449508518400 171567627374880 183005469199872 190630697083200 207960760454400 214459534218600 228756836499840 249552912545280 254174262777600 274508203799808 285946045624800 305009115333120 311941140681600 343135254749760 381261394166400 415921520908800 428919068437200 457513672999680 508348525555200 549016407599616 571892091249600 623882281363200 686270509499520 762522788332800 857838136874400 915027345999360 1143784182499200 1247764562726400 1372541018999040 1525045576665600 1715676273748800 2287568364998400 2745082037998080 3431352547497600 4575136729996800 6862705094995200 13725410189990400
- Sum of all divisors σ(n): 55416820264876224
- Sum of proper divisors (its aliquot sum) s(n): 41691410074885824
- 13725410189990400 is an abundant number, because the sum of its proper divisors (41691410074885824) is greater than itself. Its abundance is 27965999884895424
Bases of 13725410189990400
- Binary: 1100001100001100110000000101101100010101011010000000002
- Hexadecimal: 0x30C33016C55A00
- Base-36: 3R592E7J400
Squares and roots of 13725410189990400
- 13725410189990400 squared (137254101899904002) is 188386884883492308224352092160000
- 13725410189990400 cubed (137254101899904003) is 2585687269440433775994261485721729330315264000000
-
The
square root of 13725410189990400 is 117155495.7737382459 -
The
cube root of 13725410189990400 is 239428.0953884783
Scales and comparisons
How big is 13725410189990400?- 13,725,410,189,990,400 seconds is equal to 436,425,588 years, 29 weeks, 1 day.
-
To count from 1 to 13,725,410,189,990,400 would take you about one billion, three hundred nine million, two hundred seventy-six thousand, seven hundred sixty-five 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 13725410189990400 cubic inches would be around 19952.3 feet tall.
Recreational maths with 13725410189990400
- 13725410189990400 backwards is 00409998101452731
- The number of decimal digits it has is: 17
- The sum of 13725410189990400's digits is 63
- More coming soon!
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The information we have on file for 13725410189990400 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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