137465320707225000
137,465,320,707,225,000 is an even composite number composed of five prime numbers multiplied together.
137465320707225000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137465320707225000:
23 × 32 × 55 × 7 × 87279568703
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 87279568703)See below for interesting mathematical facts about the number 137465320707225000 from the Numbermatics database.
Names of 137465320707225000
- Cardinal: 137465320707225000 can be written as One hundred thirty-seven quadrillion, four hundred sixty-five trillion, three hundred twenty billion, seven hundred seven million, two hundred twenty-five thousand.
Scientific notation
- Scientific notation: 1.37465320707225 × 1017
Factors of 137465320707225000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 87279568720
Divisors of 137465320707225000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 125 126 140 150 168 175 180 200 210 225 250 252 280 300 315 350 360 375 420 450 500 504 525 600 625 630 700 750 840 875 900 1000 1050 1125 1250 1260 1400 1500 1575 1750 1800 1875 2100 2250 2500 2520 2625 3000 3125 3150 3500 3750 4200 4375 4500 5000 5250 5625 6250 6300 7000 7500 7875 8750 9000 9375 10500 11250 12500 12600 13125 15000 15750 17500 18750 21000 21875 22500 25000 26250 28125 31500 35000 37500 39375 43750 45000 52500 56250 63000 65625 75000 78750 87500 105000 112500 131250 157500 175000 196875 225000 262500 315000 393750 525000 787500 1575000 87279568703 174559137406 261838706109 349118274812 436397843515 523677412218 610956980921 698236549624 785516118327 872795687030 1047354824436 1221913961842 1309193530545 1571032236654 1745591374060 1832870942763 2094709648872 2181989217575 2443827923684 2618387061090 3054784904605 3142064473308 3491182748120 3665741885526 3927580591635 4363978435150 4887655847368 5236774122180 5498612828289 6109569809210 6284128946616 6545967652725 7331483771052 7855161183270 8727956870300 9164354713815 10473548244360 10909946087875 10997225656578 12219139618420 13091935305450 14662967542104 15273924523025 15710322366540 17455913740600 18328709427630 19637902958175 21819892175750 21994451313156 24438279236840 26183870610900 27493064141445 30547849046050 31420644733080 32729838263625 36657418855260 39275805916350 43639784351500 43988902626312 45821773569075 52367741221800 54549730439375 54986128282890 61095698092100 65459676527250 73314837710520 76369622615125 78551611832700 87279568703000 91643547138150 98189514790875 109099460878750 109972256565780 122191396184200 130919353054500 137465320707225 152739245230250 157103223665400 163649191318125 183287094276300 196379029581750 218198921757500 219944513131560 229108867845375 261838706109000 272748652196875 274930641414450 305478490460500 327298382636250 366574188552600 381848113075625 392758059163500 436397843515000 458217735690750 490947573954375 545497304393750 549861282828900 610956980921000 654596765272500 687326603536125 763696226151250 785516118327000 818245956590625 916435471381500 981895147908750 1090994608787500 1099722565657800 1145544339226875 1309193530545000 1374653207072250 1527392452302500 1636491913181250 1832870942763000 1909240565378125 1963790295817500 2181989217575000 2291088678453750 2454737869771875 2749306414144500 3054784904605000 3272983826362500 3436633017680625 3818481130756250 3927580591635000 4582177356907500 4909475739543750 5498612828289000 5727721696134375 6545967652725000 6873266035361250 7636962261512500 9164354713815000 9818951479087500 11455443392268750 13746532070722500 15273924523025000 17183165088403125 19637902958175000 22910886784537500 27493064141445000 34366330176806250 45821773569075000 68732660353612500 137465320707225000
- Sum of all divisors σ(n): 531825832758205440
- Sum of proper divisors (its aliquot sum) s(n): 394360512050980440
- 137465320707225000 is an abundant number, because the sum of its proper divisors (394360512050980440) is greater than itself. Its abundance is 256895191343755440
Bases of 137465320707225000
- Binary: 1111010000101111111111011000110011011000001110101101010002
- Hexadecimal: 0x1E85FFB19B075A8
- Base-36: 11LJE0IZOGQ0
Squares and roots of 137465320707225000
- 137465320707225000 squared (1374653207072250002) is 18896714397140222374167200625000000
- 137465320707225000 cubed (1374653207072250003) is 2597642904915716593053547735990223462015625000000000
-
The
square root of 137465320707225000 is 370763159.8571047349 -
The
cube root of 137465320707225000 is 516096.6616622343
Scales and comparisons
How big is 137465320707225000?- 137,465,320,707,225,000 seconds is equal to 4,370,971,990 years, 17 weeks, 2 days, 18 hours, 30 minutes.
-
To count from 1 to 137,465,320,707,225,000 would take you about thirteen billion, one hundred twelve million, nine hundred fifteen thousand, nine hundred seventy-one 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 137465320707225000 cubic inches would be around 43008.1 feet tall.
Recreational maths with 137465320707225000
- 137465320707225000 backwards is 000522707023564731
- The number of decimal digits it has is: 18
- The sum of 137465320707225000's digits is 54
- More coming soon!
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