10401106126953348000
10,401,106,126,953,348,000 is an even composite number composed of five prime numbers multiplied together.
10401106126953348000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 10401106126953348000:
25 × 35 × 53 × 73 × 146585294083
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 73 × 146585294083)See below for interesting mathematical facts about the number 10401106126953348000 from the Numbermatics database.
Names of 10401106126953348000
- Cardinal: 10401106126953348000 can be written as Ten quintillion, four hundred one quadrillion, one hundred six trillion, one hundred twenty-six billion, nine hundred fifty-three million, three hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.0401106126953348 × 1019
Factors of 10401106126953348000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 146585294166
Divisors of 10401106126953348000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 73 75 80 81 90 96 100 108 120 125 135 144 146 150 160 162 180 200 216 219 225 240 243 250 270 288 292 300 324 360 365 375 400 405 432 438 450 480 486 500 540 584 600 648 657 675 720 730 750 800 810 864 876 900 972 1000 1080 1095 1125 1168 1200 1215 1296 1314 1350 1440 1460 1500 1620 1752 1800 1825 1944 1971 2000 2025 2160 2190 2250 2336 2400 2430 2592 2628 2700 2920 3000 3240 3285 3375 3504 3600 3650 3888 3942 4000 4050 4320 4380 4500 4860 5256 5400 5475 5840 5913 6000 6075 6480 6570 6750 7008 7200 7300 7776 7884 8100 8760 9000 9125 9720 9855 10125 10512 10800 10950 11680 11826 12000 12150 12960 13140 13500 14600 15768 16200 16425 17520 17739 18000 18250 19440 19710 20250 21024 21600 21900 23652 24300 26280 27000 27375 29200 29565 30375 31536 32400 32850 35040 35478 36000 36500 38880 39420 40500 43800 47304 48600 49275 52560 54000 54750 58400 59130 60750 63072 64800 65700 70956 73000 78840 81000 82125 87600 88695 94608 97200 98550 105120 108000 109500 118260 121500 131400 141912 146000 147825 157680 162000 164250 175200 177390 189216 194400 197100 219000 236520 243000 246375 262800 283824 292000 295650 315360 324000 328500 354780 394200 438000 443475 473040 486000 492750 525600 567648 591300 657000 709560 739125 788400 876000 886950 946080 972000 985500 1182600 1314000 1419120 1478250 1576800 1773900 1971000 2217375 2365200 2628000 2838240 2956500 3547800 3942000 4434750 4730400 5913000 7095600 7884000 8869500 11826000 14191200 17739000 23652000 35478000 70956000 146585294083 293170588166 439755882249 586341176332 732926470415 879511764498 1172682352664 1319267646747 1465852940830 1759023528996 2198779411245 2345364705328 2638535293494 2931705881660 3518047057992 3664632352075 3957802940241 4397558822490 4690729410656 5277070586988 5863411763320 6596338233735 7036094115984 7329264704150 7915605880482 8795117644980 10554141173976 10700726468059 10993897056225 11726823526640 11873408820723 13192676467470 14072188231968 14658529408300 15831211760964 17590235289960 18323161760375 19789014701205 21108282347952 21401452936118 21987794112450 23453647053280 23746817641446 26385352934940 29317058816600 31662423521928 32102179404177 32981691168675 35180470579920 35620226462169 36646323520750 39578029402410 42216564695904 42802905872236 43975588224900 47493635282892 52770705869880 53503632340295 54969485281125 58634117633200 59367044103615 63324847043856 64204358808354 65963382337350 70360941159840 71240452924338 73292647041500 79156058804820 85605811744472 87951176449800 94987270565784 96306538212531 98945073506025 105541411739760 107007264680590 109938970562250 117268235266400 118734088207230 126649694087712 128408717616708 131926764674700 142480905848676 146585294083000 158312117609640 160510897020885 164908455843375 171211623488944 175902352899600 178101132310845 189974541131568 192613076425062 197890147012050 211082823479520 214014529361180 219877941124500 237468176414460 256817435233416 263853529349400 267518161701475 284961811697352 288919614637593 293170588166000 296835220518075 316624235219280 321021794041770 329816911686750 342423246977888 351804705799200 356202264621690 379949082263136 385226152850124 395780294024100 428029058722360 439755882249000 474936352828920 481532691062655 494725367530125 513634870466832 527707058698800 535036323402950 569923623394704 577839229275186 586341176332000 593670441036150 633248470438560 642043588083540 659633823373500 712404529243380 770452305700248 791560588048200 802554485104425 856058117444720 866758843912779 879511764498000 890505661554225 949872705657840 963065382125310 989450735060250 1027269740933664 1055414117397600 1070072646805900 1139847246789408 1155678458550372 1187340882072300 1284087176167080 1319267646747000 1337590808507375 1424809058486760 1444598073187965 1484176102590375 1540904611400496 1583121176096400 1605108970208850 1712116234889440 1733517687825558 1759023528996000 1781011323108450 1899745411315680 1926130764250620 1978901470120500 2140145293611800 2311356917100744 2374681764144600 2407663455313275 2568174352334160 2600276531738337 2638535293494000 2675181617014750 2849618116973520 2889196146375930 2968352205180750 3081809222800992 3166242352192800 3210217940417700 3467035375651116 3562022646216900 3852261528501240 3957802940241000 4012772425522125 4280290587223600 4333794219563895 4452528307771125 4622713834201488 4749363528289200 4815326910626550 5136348704668320 5200553063476674 5277070586988000 5350363234029500 5699236233947040 5778392292751860 5936704410361500 6420435880835400 6934070751302232 7124045292433800 7222990365939825 7704523057002480 7915605880482000 8025544851044250 8560581174447200 8667588439127790 8905056615542250 9245427668402976 9498727056578400 9630653821253100 10401106126953348 10700726468059000 11556784585503720 11873408820723000 12038317276566375 12840871761670800 13001382658691685 13868141502604464 14248090584867600 14445980731879650 15409046114004960 15831211760964000 16051089702088500 17335176878255580 17810113231084500 19261307642506200 20802212253906696 21401452936118000 21668971097819475 23113569171007440 23746817641446000 24076634553132750 25681743523341600 26002765317383370 27736283005208928 28496181169735200 28891961463759300 32102179404177000 34670353756511160 35620226462169000 36114951829699125 38522615285012400 41604424507813392 42802905872236000 43337942195638950 46227138342014880 47493635282892000 48153269106265500 52005530634766740 57783922927518600 64204358808354000 65006913293458425 69340707513022320 71240452924338000 72229903659398250 77045230570024800 83208849015626784 86675884391277900 96306538212531000 104011061269533480 108344855489097375 115567845855037200 128408717616708000 130013826586916850 138681415026044640 142480905848676000 144459807318796500 173351768782555800 192613076425062000 208022122539066960 216689710978194750 231135691710074400 260027653173833700 288919614637593000 325034566467292125 346703537565111600 385226152850124000 416044245078133920 433379421956389500 520055306347667400 577839229275186000 650069132934584250 693407075130223200 866758843912779000 1040110612695334800 1155678458550372000 1300138265869168500 1733517687825558000 2080221225390669600 2600276531738337000 3467035375651116000 5200553063476674000 10401106126953348000
- Sum of all divisors σ(n): 38805086319657420672
- Sum of proper divisors (its aliquot sum) s(n): 28403980192704072672
- 10401106126953348000 is an abundant number, because the sum of its proper divisors (28403980192704072672) is greater than itself. Its abundance is 18002874065750724672
Bases of 10401106126953348000
- Binary: 10010000010110000010011011101010010000000011000101111011101000002
- Hexadecimal: 0x905826EA40317BA0
- Base-36: 270TGEMVTZU00
Squares and roots of 10401106126953348000
- 10401106126953348000 squared (104011061269533480002) is 108183008664146475322928568409104000000
- 10401106126953348000 cubed (104011061269533480003) is 1125222954248901035986566875096504993406786480192000000000
-
The
square root of 10401106126953348000 is 3225074592.4634592861 -
The
cube root of 10401106126953348000 is 2182863.1492175895
Scales and comparisons
How big is 10401106126953348000?- 10,401,106,126,953,348,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 10,401,106,126,953,348,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 10401106126953348000 cubic inches would be around 181905.3 feet tall.
Recreational maths with 10401106126953348000
- 10401106126953348000 backwards is 00084335962160110401
- 10401106126953348000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 10401106126953348000's digits is 54
- More coming soon!
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The information we have on file for 10401106126953348000 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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