34638871440708476928
34,638,871,440,708,476,928 is an even composite number composed of five prime numbers multiplied together.
34638871440708476928 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 34638871440708476928:
213 × 32 × 7 × 17 × 3948065230079
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 3948065230079)See below for interesting mathematical facts about the number 34638871440708476928 from the Numbermatics database.
Names of 34638871440708476928
- Cardinal: 34638871440708476928 can be written as Thirty-four quintillion, six hundred thirty-eight quadrillion, eight hundred seventy-one trillion, four hundred forty billion, seven hundred eight million, four hundred seventy-six thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 3.4638871440708476928 × 1019
Factors of 34638871440708476928
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 3948065230108
Divisors of 34638871440708476928
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 128 136 144 153 168 192 204 224 238 252 256 272 288 306 336 357 384 408 448 476 504 512 544 576 612 672 714 768 816 896 952 1008 1024 1071 1088 1152 1224 1344 1428 1536 1632 1792 1904 2016 2048 2142 2176 2304 2448 2688 2856 3072 3264 3584 3808 4032 4096 4284 4352 4608 4896 5376 5712 6144 6528 7168 7616 8064 8192 8568 8704 9216 9792 10752 11424 12288 13056 14336 15232 16128 17136 17408 18432 19584 21504 22848 24576 26112 28672 30464 32256 34272 34816 36864 39168 43008 45696 52224 57344 60928 64512 68544 69632 73728 78336 86016 91392 104448 121856 129024 137088 139264 156672 172032 182784 208896 243712 258048 274176 313344 365568 417792 487424 516096 548352 626688 731136 974848 1096704 1253376 1462272 2193408 2924544 4386816 8773632 3948065230079 7896130460158 11844195690237 15792260920316 23688391380474 27636456610553 31584521840632 35532587070711 47376782760948 55272913221106 63169043681264 67117108911343 71065174141422 82909369831659 94753565521896 110545826442212 126338087362528 134234217822686 142130348282844 165818739663318 189507131043792 201351326734029 221091652884424 248728109494977 252676174725056 268468435645372 284260696565688 331637479326636 379014262087584 402702653468058 442183305768848 469819762379401 497456218989954 505352349450112 536936871290744 568521393131376 604053980202087 663274958653272 758028524175168 805405306936116 884366611537696 939639524758802 994912437979908 1010704698900224 1073873742581488 1137042786262752 1208107960404174 1326549917306544 1409459287138203 1516057048350336 1610810613872232 1768733223075392 1879279049517604 1989824875959816 2021409397800448 2147747485162976 2274085572525504 2416215920808348 2653099834613088 2818918574276406 3032114096700672 3221621227744464 3537466446150784 3758558099035208 3979649751919632 4042818795600896 4228377861414609 4295494970325952 4548171145051008 4832431841616696 5306199669226176 5637837148552812 6064228193401344 6443242455488928 7074932892301568 7517116198070416 7959299503839264 8085637591201792 8456755722829218 8590989940651904 9096342290102016 9664863683233392 10612399338452352 11275674297105624 12128456386802688 12886484910977856 14149865784603136 15034232396140832 15918599007678528 16171275182403584 16913511445658436 17181979881303808 18192684580204032 19329727366466784 21224798676904704 22551348594211248 24256912773605376 25772969821955712 28299731569206272 30068464792281664 31837198015357056 32342550364807168 33827022891316872 34363959762607616 36385369160408064 38659454732933568 42449597353809408 45102697188422496 48513825547210752 51545939643911424 56599463138412544 60136929584563328 63674396030714112 67654045782633744 68727919525215232 72770738320816128 77318909465867136 84899194707618816 90205394376844992 97027651094421504 103091879287822848 113198926276825088 120273859169126656 127348792061428224 135308091565267488 137455839050430464 145541476641632256 154637818931734272 169798389415237632 180410788753689984 206183758575645696 226397852553650176 240547718338253312 254697584122856448 270616183130534976 274911678100860928 291082953283264512 309275637863468544 339596778830475264 360821577507379968 412367517151291392 481095436676506624 509395168245712896 541232366261069952 549823356201721856 618551275726937088 679193557660950528 721643155014759936 824735034302582784 962190873353013248 1018790336491425792 1082464732522139904 1237102551453874176 1443286310029519872 1649470068605165568 1924381746706026496 2037580672982851584 2164929465044279808 2474205102907748352 2886572620059039744 3848763493412052992 4329858930088559616 4948410205815496704 5773145240118079488 8659717860177119232 11546290480236158976 17319435720354238464 34638871440708476928
- Sum of all divisors σ(n): 121083117787757998080
- Sum of proper divisors (its aliquot sum) s(n): 86444246347049521152
- 34638871440708476928 is an abundant number, because the sum of its proper divisors (86444246347049521152) is greater than itself. Its abundance is 51805374906341044224
Bases of 34638871440708476928
- Binary: 111100000101101011111111000001100111110111101101000100000000000002
- Hexadecimal: 0x1E0B5FE0CFBDA2000
- Base-36: 7B6475028DFK0
Squares and roots of 34638871440708476928
- 34638871440708476928 squared (346388714407084769282) is 1199851414685929356054898212197508317184
- 34638871440708476928 cubed (346388714407084769283) is 41561498901258101985640746069598122971997701646772969930752
-
The
square root of 34638871440708476928 is 5885479712.0292987149 -
The
cube root of 34638871440708476928 is 3259777.1511607839
Scales and comparisons
How big is 34638871440708476928?- 34,638,871,440,708,476,928 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 34,638,871,440,708,476,928 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 34638871440708476928 cubic inches would be around 271648.1 feet tall.
Recreational maths with 34638871440708476928
- 34638871440708476928 backwards is 82967480704417883643
- The number of decimal digits it has is: 20
- The sum of 34638871440708476928's digits is 99
- More coming soon!
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The information we have on file for 34638871440708476928 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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