146149107396971007
146,149,107,396,971,007 is an odd composite number composed of eight prime numbers multiplied together.
146149107396971007 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 146149107396971007:
3 × 75 × 23 × 37 × 43 × 67 × 307 × 3851
(3 × 7 × 7 × 7 × 7 × 7 × 23 × 37 × 43 × 67 × 307 × 3851)See below for interesting mathematical facts about the number 146149107396971007 from the Numbermatics database.
Names of 146149107396971007
- Cardinal: 146149107396971007 can be written as One hundred forty-six quadrillion, one hundred forty-nine trillion, one hundred seven billion, three hundred ninety-six million, nine hundred seventy-one thousand and seven.
Scientific notation
- Scientific notation: 1.46149107396971007 × 1017
Factors of 146149107396971007
Divisors of 146149107396971007
- Number of divisors d(n): 768
-
Complete list of divisors:
1 3 7 21 23 37 43 49 67 69 111 129 147 161 201 259 301 307 343 469 483 777 851 903 921 989 1029 1127 1407 1541 1591 1813 2107 2149 2401 2479 2553 2881 2967 3283 3381 3851 4623 4773 5439 5957 6321 6447 6923 7061 7203 7437 7889 8643 9849 10787 11137 11359 11553 12691 13201 14749 15043 16807 17353 17871 20167 20569 20769 21183 22981 23667 26957 32361 33411 34077 36593 38073 39603 41699 44247 45129 48461 49427 50421 52059 55223 57017 60501 61707 66263 68943 75509 77959 79513 80871 88573 88837 92407 103243 105301 106597 109779 121471 125097 141169 142487 143983 145383 148281 160867 165593 165669 171051 188699 198789 226527 233877 238539 256151 258017 261257 265719 266511 277221 291893 303623 309729 315903 319791 339227 345989 364413 386561 399119 423507 427461 431949 463841 473087 482601 488437 496779 528563 545713 556591 566097 620011 621859 646849 722701 737107 746179 761053 768453 774051 783771 850297 875679 884467 910869 988183 997409 1007881 1017681 1037967 1126069 1159151 1159683 1182257 1197357 1320893 1391523 1419261 1465311 1585689 1637139 1669773 1793057 1806119 1828799 1860033 1865577 1940547 2043251 2125361 2168103 2211321 2238537 2283159 2374589 2421923 2451731 2550891 2653401 2793833 2964549 2992227 3023643 3246887 3277201 3311609 3378207 3419059 3477453 3546771 3699941 3808639 3819991 3896137 3962679 4340077 4527943 5159749 5223253 5327371 5379171 5418357 5486397 5934391 5952079 6126941 6129753 6191269 6376083 6917281 6981863 7055167 7123767 7265769 7355193 8114057 8275799 8381499 9246251 9546629 9740661 9831603 9934827 10257177 11094731 11099823 11234051 11425917 11459973 11688411 12551399 12642833 12801593 13020231 13583829 14302757 14877527 15479247 15669759 15982113 16622123 16953461 17162117 17504219 17803173 17856237 18380823 18573807 19556831 20342741 20751843 20945589 21165501 22728209 22940407 23181263 23933413 24342171 24827397 25899587 26660473 26739937 27191911 27272959 27738753 28639887 30380539 31695601 32725279 33284193 33702153 36562771 37291597 37654197 37928499 38404779 41540737 41664553 42888587 42908271 43338883 43743509 44632581 48420967 48873041 49386169 49866369 50837051 50860383 51486351 52512657 56798399 57930593 58670493 61028223 64723757 66826403 68184627 68821221 69543789 71800239 77663117 77698761 78638357 79211219 79981419 80219811 81575733 81818877 87859793 88499831 89611151 91141617 95086803 98175837 104142689 109688313 111874791 118674227 120134819 122529533 124622211 124993659 128665761 130016649 131230527 136897817 140919643 142399187 145262901 146619123 148158507 152511153 159097463 160582849 162268841 167533891 170395197 173791779 186623311 190343377 190910713 194171271 200479209 212663773 219572467 221869207 229076953 232989351 235915071 237633657 255178813 255939397 261041179 263579379 265499493 268833453 290785159 300220109 303372181 306204563 312428067 342111287 345703183 355859357 356022681 360404457 367588599 397588793 405514151 410505047 410693451 422758929 427197561 467784821 477292389 481748547 486806523 502601673 543641819 550468499 554478533 559869933 571030131 572732139 615018551 619498817 627278057 637991319 658717401 665607621 687230859 728998823 752681417 765536439 767818191 783123537 840943733 857706731 872355477 900660327 910116543 918613689 958284719 986437501 996794309 1006100707 1026333861 1037109549 1067578071 1113682241 1124079943 1135881887 1169252173 1172737237 1192766379 1216542453 1231515141 1306363177 1332403639 1403354463 1488646411 1537007269 1603538671 1630925457 1651405497 1663435599 1786251691 1791575779 1821858037 1827288253 1845055653 1858496451 1880970887 1881834171 2035496113 2101540763 2123605267 2143431941 2186996469 2258044251 2394779009 2491015499 2522831199 2573120193 2783121551 2838599057 2873535329 2874854157 2930815103 2959312503 2990382927 3018302121 3274493747 3341046723 3372239829 3406082417 3407645661 3507756519 3518211711 3805492733 3853279493 3881349731 3919089531 3997210917 4336491719 4390946399 4465939233 4611021807 4810616013 5102991761 5268769919 5358755073 5374727337 5465574111 5481864759 5642912661 5886606131 6003947117 6106488339 6304622289 6370815801 6430295823 6905062507 6977560163 7042704949 7184337027 7473046497 7868559601 7951173209 8184765211 8209160659 8349364653 8515797171 8620605987 8792445309 9144542239 9326825473 9441616081 9823481241 10218247251 10759050883 11224770697 11416478199 11559838479 11644049193 12503761837 12753006259 12791017771 13009475157 13166796209 13172839197 14248472791 14710785341 14865236869 15004023587 15308975283 15806309757 17437108493 17659818393 18011841351 19870193399 20114747303 20515705721 20715187521 20932680489 21128114847 22921456229 23605678803 23842576919 23853519627 24554295633 24627481977 26638449131 26972956451 27169448117 27433626717 27980476419 28324848243 32277152649 33674312091 36881389433 37511285511 38259018777 38373053313 39500388627 41206242917 42027629819 42745418373 43262330401 44132356023 44595710607 45012070761 48335437549 48842921141 49298934643 52311325479 55079917207 57293356477 59610580197 60344241909 61547117163 64011795673 65287778311 66091312567 67408747369 68764368687 71527730757 75313356181 78339895591 78573394879 79915347393 80918869353 81508344351 87526332859 89271043813 92167573463 99739309537 102975497387 105028165109 110644168299 122059759451 123618728751 126025049429 126082889457 129786991203 140803231121 143609940047 145006312647 146528763423 147896803929 160450193603 165239751621 166898038433 171880069431 186469143917 188810695157 190186136819 192035387019 195863334933 198273937701 202226242107 225940068543 235019686773 235720184637 258169726031 262578998577 267813131439 276502720389 294193408733 299217928611 302836312807 308926492161 315084495327 338348062843 341900447987 345092542501 366179278353 378075148287 401053495339 422409693363 430829820141 457014448177 462639187969 471861231583 481350580809 500694115299 527193493267 548379269137 550013764153 559407431751 566432085471 570558410457 612684330013 624897306691 645173014241 735197155763 774509178093 854418316157 882175346003 882580226199 908508938421 985622617847 1005269580329 1015044188529 1025701343961 1035277627503 1168286269031 1203160486017 1331302957733 1371043344531 1387917563907 1415583694749 1581580479801 1645137807411 1650041292459 1807188082217 1838052990039 1874691920073 1935519042723 2119854189649 2205591467289 2368436439901 2415647797507 2563254948471 2646526038009 2807374467373 2898576136867 2956867853541 3015808740987 3238474315783 3303028621081 3504858807093 3690354452869 3838654883959 3993908873199 4288790310091 4374281146837 4516211099687 5421564246651 6175227422021 6359562568947 6899358324929 7036887062303 7105309319703 7246943392521 8178003883217 8422123402119 8695728410601 9715422947349 9909085863243 11071063358607 11515964651877 12650316575519 12866370930273 13122843440511 13548633299061 14838979327543 16909534582549 18525682266063 19651621271611 20290032958069 20698074974787 21110661186909 22669320210481 23121200347567 24534011649651 26870584187713 30619968027859 31613477697809 37950949726557 43226591954147 44516937982629 49258209436121 50728603747647 57246027182519 58954863814833 60870098874207 68007960631443 69363601042701 80611752563139 91859904083577 94840433093427 103872855292801 129679775862441 142030230706483 147774628308363 158685241473367 161848402432969 171738081547557 188094089313991 302586143679029 311618565878403 426090692119449 476055724420101 485545207298907 564282267941973 727109987049607 907758431037087 994211614945381 1132938817030783 1316658625197937 2118103005753203 2181329961148821 2982634844836143 3398816451092349 3949975875593811 6354309017259609 6959481304617667 20878443913853001 48716369132323669 146149107396971007
- Sum of all divisors σ(n): 253914037952053248
- Sum of proper divisors (its aliquot sum) s(n): 107764930555082241
- 146149107396971007 is a deficient number, because the sum of its proper divisors (107764930555082241) is less than itself. Its deficiency is 38384176841888766
Bases of 146149107396971007
- Binary: 10000001110011100111010110101111101010001100001001111111112
- Hexadecimal: 0x20739D6BEA309FF
- Base-36: 13Z1J9260XZ3
Squares and roots of 146149107396971007
- 146149107396971007 squared (1461491073969710072) is 21359561592931365513467478398594049
- 146149107396971007 cubed (1461491073969710073) is 3121680861197543256708356691262567278504870015737343
-
The
square root of 146149107396971007 is 382294529.6456267723 -
The
cube root of 146149107396971007 is 526742.9387889401
Scales and comparisons
How big is 146149107396971007?- 146,149,107,396,971,007 seconds is equal to 4,647,089,546 years, 18 weeks, 2 days, 8 hours, 23 minutes, 27 seconds.
-
To count from 1 to 146,149,107,396,971,007 would take you about thirteen billion, nine hundred forty-one million, two hundred sixty-eight thousand, six hundred thirty-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 146149107396971007 cubic inches would be around 43895.2 feet tall.
Recreational maths with 146149107396971007
- 146149107396971007 backwards is 700179693701941641
- The number of decimal digits it has is: 18
- The sum of 146149107396971007's digits is 75
- More coming soon!
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The information we have on file for 146149107396971007 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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