13407125841008900
13,407,125,841,008,900 is an even composite number composed of seven prime numbers multiplied together.
13407125841008900 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13407125841008900:
22 × 52 × 7 × 113 × 132 × 373 × 412
(2 × 2 × 5 × 5 × 7 × 11 × 11 × 11 × 13 × 13 × 37 × 37 × 37 × 41 × 41)See below for interesting mathematical facts about the number 13407125841008900 from the Numbermatics database.
Names of 13407125841008900
- Cardinal: 13407125841008900 can be written as Thirteen quadrillion, four hundred seven trillion, one hundred twenty-five billion, eight hundred forty-one million, eight thousand, nine hundred.
Scientific notation
- Scientific notation: 1.34071258410089 × 1016
Factors of 13407125841008900
Divisors of 13407125841008900
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 37 41 44 50 52 55 65 70 74 77 82 91 100 110 121 130 140 143 148 154 164 169 175 182 185 205 220 242 259 260 275 286 287 308 325 338 350 364 370 385 407 410 451 455 481 484 518 533 550 572 574 605 650 676 700 715 740 770 814 820 845 847 902 910 925 962 1001 1025 1036 1066 1100 1148 1183 1210 1295 1300 1331 1369 1430 1435 1517 1540 1573 1628 1681 1690 1694 1804 1820 1850 1859 1924 1925 2002 2035 2050 2132 2255 2275 2366 2405 2420 2590 2662 2665 2738 2849 2860 2870 3025 3034 3146 3157 3362 3367 3380 3388 3575 3700 3718 3731 3850 4004 4070 4100 4225 4235 4477 4510 4550 4732 4810 4961 5005 5180 5291 5324 5330 5476 5698 5740 5863 5915 6050 6068 6253 6292 6314 6475 6655 6724 6734 6845 6929 7150 7175 7436 7462 7585 7700 7865 8140 8405 8450 8470 8954 9020 9100 9295 9317 9583 9620 9922 10010 10175 10582 10619 10660 11011 11275 11396 11726 11767 11830 12025 12100 12506 12628 12950 13013 13310 13325 13468 13690 13858 14245 14300 14350 14924 15059 15170 15730 15785 16687 16810 16835 16900 16940 17303 17797 17908 18491 18590 18634 18655 19166 19721 19844 20020 20350 20449 21164 21175 21238 21853 22022 22385 22550 23452 23534 23660 24050 24805 25012 25025 25900 26026 26455 26620 26650 27380 27716 28490 28700 29315 29575 30118 30340 31265 31339 31460 31570 33275 33374 33620 33670 34225 34606 34645 34727 35594 36982 37037 37180 37268 37310 37925 38332 39325 39442 40700 40898 41041 42025 42350 42476 43706 43771 44044 44770 45100 46475 46585 47068 47915 48100 48503 49247 49610 50050 50653 52052 52910 53095 53300 54571 55055 56129 56980 58201 58630 58835 59150 60236 62197 62530 62678 63140 64493 65065 66550 66748 67340 68450 68783 69212 69290 69454 71188 71225 73964 74074 74620 75295 75850 76219 78650 78884 78925 81796 82082 83435 84050 84175 84700 86515 87412 87542 88985 89540 92455 92950 93170 93275 95830 97006 98494 98605 99220 100100 101306 102245 105413 105820 106190 109142 109265 110110 111925 112258 116402 116809 117260 117670 118300 121121 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424679310770 426164203465 427809625100 428822192260 441896039585 445153258550 453326317532 457346950060 467147241847 470590587610 483732351025 489668584405 503081645066 503648604095 506789863580 515143542650 517649646371 535749284356 536027740325 540500940980 557468849938 566657896915 569691758350 571683687575 594551035078 598933475140 608806004950 613514201300 631280056550 633158245148 633487329475 655637236100 658826822654 669686605445 675626176225 679840060900 699526549150 718688064380 719498005850 721200959710 725062237900 748666843925 753336283700 774844006300 791447806435 793321055681 796384071340 797568461690 803447344700 849358621540 852328406930 883792079170 890306517100 898360080475 934294483694 937561247623 941181175220 967464702050 979337168810 995480089175 1006163290132 1007297208190 1030287085300 1035299292742 1061698276925 1072055480650 1108026929009 1114937699876 1133315793830 1139383516700 1143367375150 1176476469025 1189102070156 1217612009900 1257704112665 1262560113100 1266974658950 1317653645308 1339373210890 1351252352450 1393672124845 1399053098300 1438996011700 1442401919420 1473310531979 1486377587695 1497333687850 1582895612870 1586642111362 1595136923380 1647067056635 1704656813860 1741185174157 1767584158340 1796720160950 1803002399275 1868588967388 1875122495246 1934929404100 1958674337620 1990960178350 1993921154225 2014594416380 2070598585484 2123396553850 2130821017325 2144110961300 2209480197925 2216053858018 2266631587660 2286734750300 2335736209235 2352952938050 2448342922025 2515408225330 2518243020475 2533949317900 2588248231855 2678746421780 2702504704900 2787344249690 2833289484575 2946621063958 2972755175390 2994667375700 3165791225740 3173284222724 3270030692929 3294134113270 3348433027225 3482370348314 3593440321900 3606004798550 3623547524597 3750244990492 3957239032175 3966605278405 3981920356700 3987842308450 4246793107700 4261642034650 4418960395850 4432107716036 4671472418470 4687806238115 4705905876100 4896685844050 5030816450660 5036486040950 5176496463710 5540134645045 5574688499380 5666578969150 5893242127916 5945510350780 6288520563325 6540061385858 6588268226540 6696866054450 6964740696628 6968360624225 7212009597100 7247095049194 7366552659895 7431887938475 7914478064350 7933210556810 7975684616900 8235335283175 8523284069300 8705925870785 8837920791700 9342944836940 9375612476230 9793371688100 10072972081900 10313173723853 10352992927420 11080269290090 11333157938300 11678681046175 12188296219099 12577041126650 12941241159275 13080122771716 13393732108900 13936721248450 14494190098388 14733105319790 14863775876950 15828956128700 15866421113620 16350153464645 16470670566350 17411851741570 18117737622985 18751224952460 19153036915727 19833026392025 20626347447706 22160538580180 23357362092350 23439031190575 24376592438198 25154082253300 25882482318550 27700673225225 27873442496900 29466210639580 29727551753900 32700306929290 32941341132700 34823703483140 36235475245970 36832763299475 38306073831454 39666052784050 41252694895412 43529629353925 46714724184700 46878062381150 48753184876396 51565868619265 51764964637100 55401346450450 60941481095495 65400613858580 72470950491940 73665526598950 76612147662908 79332105568100 81750767323225 87059258707850 90588688114925 93756124762300 95765184578635 103131737238530 110802692900900 121882962190990 134071258410089 147331053197900 163501534646450 174118517415700 181177376229850 191530369157270 206263474477060 243765924381980 257829343096325 268142516820178 304707405477475 327003069292900 362354752459700 383060738314540 478825922893175 515658686192650 536285033640356 609414810954950 670356292050445 957651845786350 1031317372385300 1218829621909900 1340712584100890 1915303691572700 2681425168201780 3351781460252225 6703562920504450 13407125841008900
- Sum of all divisors σ(n): 41718753951356160
- Sum of proper divisors (its aliquot sum) s(n): 28311628110347260
- 13407125841008900 is an abundant number, because the sum of its proper divisors (28311628110347260) is greater than itself. Its abundance is 14904502269338360
Bases of 13407125841008900
- Binary: 1011111010000110110101101111010011011001011001000001002
- Hexadecimal: 0x2FA1B5BD365904
- Base-36: 3O0FGL007B8
Squares and roots of 13407125841008900
- 13407125841008900 squared (134071258410089002) is 179751023316648604120969879210000
- 13407125841008900 cubed (134071258410089003) is 2409944589656432809934352530115716297534969000000
-
The
square root of 13407125841008900 is 115789143.8823558277 -
The
cube root of 13407125841008900 is 237562.8692126445
Scales and comparisons
How big is 13407125841008900?- 13,407,125,841,008,900 seconds is equal to 426,305,130 years, 40 weeks, 4 days, 6 hours, 28 minutes, 20 seconds.
-
To count from 1 to 13,407,125,841,008,900 would take you about one billion, two hundred seventy-eight million, nine hundred fifteen thousand, three hundred ninety-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 13407125841008900 cubic inches would be around 19796.9 feet tall.
Recreational maths with 13407125841008900
- 13407125841008900 backwards is 00980014852170431
- The number of decimal digits it has is: 17
- The sum of 13407125841008900's digits is 53
- More coming soon!
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"Number 13407125841008900 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 13407125841008900 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/13407125841008900/
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The information we have on file for 13407125841008900 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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