138833535977786502000
138,833,535,977,786,502,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138833535977786502000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 240 divisors.
138833535977786502000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138833535977786502000:
24 × 32 × 53 × 1319 × 5847592282781
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 1319 × 5847592282781)See below for interesting mathematical facts about the number 138833535977786502000 from the Numbermatics database.
Names of 138833535977786502000
- Cardinal: 138833535977786502000 can be written as One hundred thirty-eight quintillion, eight hundred thirty-three quadrillion, five hundred thirty-five trillion, nine hundred seventy-seven billion, seven hundred eighty-six million, five hundred two thousand.
Scientific notation
- Scientific notation: 1.38833535977786502 × 1020
Factors of 138833535977786502000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 5847592284110
Divisors of 138833535977786502000
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1319 1500 1800 2000 2250 2638 3000 3600 3957 4500 5276 6000 6595 7914 9000 10552 11871 13190 15828 18000 19785 21104 23742 26380 31656 32975 39570 47484 52760 59355 63312 65950 79140 94968 98925 105520 118710 131900 158280 164875 189936 197850 237420 263800 296775 316560 329750 395700 474840 494625 527600 593550 659500 791400 949680 989250 1187100 1319000 1483875 1582800 1978500 2374200 2638000 2967750 3957000 4748400 5935500 7914000 11871000 23742000 5847592282781 11695184565562 17542776848343 23390369131124 29237961413905 35085553696686 46780738262248 52628330545029 58475922827810 70171107393372 87713884241715 93561476524496 105256661090058 116951845655620 140342214786744 146189807069525 175427768483430 210513322180116 233903691311240 263141652725145 280684429573488 292379614139050 350855536966860 421026644360232 438569421208575 467807382622480 526283305450290 584759228278100 701711073933720 730949035347625 842053288720464 877138842417150 1052566610900580 1169518456556200 1315708263625725 1403422147867440 1461898070695250 1754277684834300 2105133221801160 2192847106042875 2339036913112400 2631416527251450 2923796141390500 3508555369668600 4210266443602320 4385694212085750 5262833054502900 5847592282781000 6578541318128625 7017110739337200 7712974220988139 8771388424171500 10525666109005800 11695184565562000 13157082636257250 15425948441976278 17542776848343000 21051332218011600 23138922662964417 26314165272514500 30851896883952556 35085553696686000 38564871104940695 46277845325928834 52628330545029000 61703793767905112 69416767988893251 77129742209881390 92555690651857668 105256661090058000 115694613314822085 123407587535810224 138833535977786502 154259484419762780 185111381303715336 192824355524703475 231389226629644170 277667071955573004 308518968839525560 347083839944466255 370222762607430672 385648711049406950 462778453259288340 555334143911146008 578473066574110425 617037937679051120 694167679888932510 771297422098813900 925556906518576680 964121777623517375 1110668287822292016 1156946133148220850 1388335359777865020 1542594844197627800 1735419199722331275 1851113813037153360 1928243555247034750 2313892266296441700 2776670719555730040 2892365332870552125 3085189688395255600 3470838399444662550 3856487110494069500 4627784532592883400 5553341439111460080 5784730665741104250 6941676798889325100 7712974220988139000 8677095998611656375 9255569065185766800 11569461331482208500 13883353597778650200 15425948441976278000 17354191997223312750 23138922662964417000 27766707195557300400 34708383994446625500 46277845325928834000 69416767988893251000 138833535977786502000
- Sum of all divisors σ(n): 485266889756799184320
- Sum of proper divisors (its aliquot sum) s(n): 346433353779012682320
- 138833535977786502000 is an abundant number, because the sum of its proper divisors (346433353779012682320) is greater than itself. Its abundance is 207599817801226180320
Bases of 138833535977786502000
- Binary: 11110000110101100111100110101100110011100110110000011101011011100002
- Hexadecimal: 0x786B3CD667360EB70
- Base-36: TASIL4PLOGL80
Squares and roots of 138833535977786502000
- 138833535977786502000 squared (1388335359777865020002) is 19274750712095339051955583493396004000000
- 138833535977786502000 cubed (1388335359777865020003) is 2675981796450554253308252981491462633570758851938008000000000
-
The
square root of 138833535977786502000 is 11782764360.6153179321 -
The
cube root of 138833535977786502000 is 5178032.7743817517
Scales and comparisons
How big is 138833535977786502000?- 138,833,535,977,786,502,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 138,833,535,977,786,502,000 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 138833535977786502000 cubic inches would be around 431502.7 feet tall.
Recreational maths with 138833535977786502000
- 138833535977786502000 backwards is 000205687779535338831
- 138833535977786502000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138833535977786502000's digits is 90
- More coming soon!
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