138662808845664383136
138,662,808,845,664,383,136 is an even composite number composed of six prime numbers multiplied together.
138662808845664383136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138662808845664383136:
25 × 32 × 47 × 67 × 13751 × 11118867703
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 47 × 67 × 13751 × 11118867703)See below for interesting mathematical facts about the number 138662808845664383136 from the Numbermatics database.
Names of 138662808845664383136
- Cardinal: 138662808845664383136 can be written as One hundred thirty-eight quintillion, six hundred sixty-two quadrillion, eight hundred eight trillion, eight hundred forty-five billion, six hundred sixty-four million, three hundred eighty-three thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.38662808845664383136 × 1020
Factors of 138662808845664383136
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 11118881573
Divisors of 138662808845664383136
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 67 72 94 96 134 141 144 188 201 268 282 288 376 402 423 536 564 603 752 804 846 1072 1128 1206 1504 1608 1692 2144 2256 2412 3149 3216 3384 4512 4824 6298 6432 6768 9447 9648 12596 13536 13751 18894 19296 25192 27502 28341 37788 41253 50384 55004 56682 75576 82506 100768 110008 113364 123759 151152 165012 220016 226728 247518 302304 330024 440032 453456 495036 646297 660048 906912 921317 990072 1292594 1320096 1842634 1938891 1980144 2585188 2763951 3685268 3877782 3960288 5170376 5527902 5816673 7370536 7755564 8291853 10340752 11055804 11633346 14741072 15511128 16583706 20681504 22111608 23266692 29482144 31022256 33167412 43301899 44223216 46533384 62044512 66334824 86603798 88446432 93066768 129905697 132669648 173207596 186133536 259811394 265339296 346415192 389717091 519622788 692830384 779434182 1039245576 1385660768 1558868364 2078491152 3117736728 4156982304 6235473456 11118867703 12470946912 22237735406 33356603109 44475470812 66713206218 88950941624 100069809327 133426412436 177901883248 200139618654 266852824872 355803766496 400279237308 522586782041 533705649744 744964136101 800558474616 1045173564082 1067411299488 1489928272202 1567760346123 1601116949232 2090347128164 2234892408303 2979856544404 3135520692246 3202233898464 4180694256328 4469784816606 4703281038369 5959713088808 6271041384492 6704677224909 8361388512656 8939569633212 9406562076738 11919426177616 12542082768984 13409354449818 16722777025312 17879139266424 18813124153476 23838852355232 25084165537968 26818708899636 35013314396747 35758278532848 37626248306952 50168331075936 53637417799272 70026628793494 71516557065696 75252496613904 105039943190241 107274835598544 140053257586988 150504993227808 152895549783953 210079886380482 214549671197088 280106515173976 305791099567906 315119829570723 420159772760964 458686649351859 560213030347952 611582199135812 630239659141446 840319545521928 917373298703718 1120426060695904 1223164398271624 1260479318282892 1376059948055577 1680639091043856 1834746597407436 2446328796543248 2520958636565784 2752119896111154 3361278182087712 3669493194814872 4892657593086496 5041917273131568 5504239792222308 7186090839845791 7338986389629744 10083834546263136 10244001835524851 11008479584444616 14372181679691582 14677972779259488 20488003671049702 21558272519537373 22016959168889232 28744363359383164 30732005506574553 40976007342099404 43116545039074746 44033918337778464 57488726718766328 61464011013149106 64674817558612119 81952014684198808 86233090078149492 92196016519723659 114977453437532656 122928022026298212 129349635117224238 163904029368397616 172466180156298984 184392033039447318 229954906875065312 245856044052596424 258699270234448476 327808058736795232 344932360312597968 368784066078894636 481468086269667997 491712088105192848 517398540468896952 689864720625195936 737568132157789272 962936172539335994 983424176210385696 1034797080937793904 1444404258809003991 1475136264315578544 1925872345078671988 2069594161875587808 2888808517618007982 2950272528631157088 3851744690157343976 4333212776427011973 5777617035236015964 7703489380314687952 8666425552854023946 11555234070472031928 15406978760629375904 17332851105708047892 23110468140944063856 34665702211416095784 46220936281888127712 69331404422832191568 138662808845664383136
- Sum of all divisors σ(n): 408752553183067312128
- Sum of proper divisors (its aliquot sum) s(n): 270089744337402928992
- 138662808845664383136 is an abundant number, because the sum of its proper divisors (270089744337402928992) is greater than itself. Its abundance is 131426935491738545856
Bases of 138662808845664383136
- Binary: 11110000100010101010100000111111010011000111011011111110000101000002
- Hexadecimal: 0x7845541FA63B7F0A0
- Base-36: T9HTJEVUUVHK0
Squares and roots of 138662808845664383136
- 138662808845664383136 squared (1386628088456643831362) is 19227374556969260697599460680791401194496
- 138662808845664383136 cubed (1386628088456643831363) is 2666121762797019502057411214833544304511116400204553398419456
-
The
square root of 138662808845664383136 is 11775517349.3848831039 -
The
cube root of 138662808845664383136 is 5175909.3841916675
Scales and comparisons
How big is 138662808845664383136?- 138,662,808,845,664,383,136 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,662,808,845,664,383,136 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 138662808845664383136 cubic inches would be around 431325.8 feet tall.
Recreational maths with 138662808845664383136
- 138662808845664383136 backwards is 631383466548808266831
- The number of decimal digits it has is: 21
- The sum of 138662808845664383136's digits is 99
- More coming soon!
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