9948640906449000
9,948,640,906,449,000 is an even composite number composed of six prime numbers multiplied together.
9948640906449000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 9948640906449000:
23 × 32 × 53 × 7 × 29 × 5445342587
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 29 × 5445342587)See below for interesting mathematical facts about the number 9948640906449000 from the Numbermatics database.
Names of 9948640906449000
- Cardinal: 9948640906449000 can be written as Nine quadrillion, nine hundred forty-eight trillion, six hundred forty billion, nine hundred six million, four hundred forty-nine thousand.
Scientific notation
- Scientific notation: 9.948640906449 × 1015
Factors of 9948640906449000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 5445342633
Divisors of 9948640906449000
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 29 30 35 36 40 42 45 50 56 58 60 63 70 72 75 84 87 90 100 105 116 120 125 126 140 145 150 168 174 175 180 200 203 210 225 232 250 252 261 280 290 300 315 348 350 360 375 406 420 435 450 500 504 522 525 580 600 609 630 696 700 725 750 812 840 870 875 900 1000 1015 1044 1050 1125 1160 1218 1260 1305 1400 1450 1500 1575 1624 1740 1750 1800 1827 2030 2088 2100 2175 2250 2436 2520 2610 2625 2900 3000 3045 3150 3480 3500 3625 3654 4060 4200 4350 4500 4872 5075 5220 5250 5800 6090 6300 6525 7000 7250 7308 7875 8120 8700 9000 9135 10150 10440 10500 10875 12180 12600 13050 14500 14616 15225 15750 17400 18270 20300 21000 21750 24360 25375 26100 29000 30450 31500 32625 36540 40600 43500 45675 50750 52200 60900 63000 65250 73080 76125 87000 91350 101500 121800 130500 152250 182700 203000 228375 261000 304500 365400 456750 609000 913500 1827000 5445342587 10890685174 16336027761 21781370348 27226712935 32672055522 38117398109 43562740696 49008083283 54453425870 65344111044 76234796218 81680138805 98016166566 108906851740 114352194327 130688222088 136133564675 152469592436 157914935023 163360277610 190586990545 196032333132 217813703480 228704388654 245040416415 272267129350 304939184872 315829870046 326720555220 343056582981 381173981090 392064666264 408400694025 457408777308 473744805069 490080832830 544534258700 571760971635 631659740092 653441110440 680667823375 686113165962 762347962180 789574675115 816801388050 914817554616 947489610138 952934952725 980161665660 1089068517400 1105404545161 1143521943270 1225202082075 1263319480184 1361335646750 1372226331924 1421234415207 1524695924360 1579149350230 1633602776100 1715282914905 1894979220276 1905869905450 1960323331320 2042003470125 2210809090322 2287043886540 2368724025345 2450404164150 2722671293500 2744452663848 2842468830414 2858804858175 3158298700460 3267205552200 3316213635483 3430565829810 3789958440552 3811739810900 3947873375575 4084006940250 4421618180644 4574087773080 4737448050690 4764674763625 4900808328300 5445342587000 5527022725805 5684937660828 5717609716350 6126010410375 6316597400920 6632427270966 6861131659620 7106172076035 7623479621800 7895746751150 8168013880500 8576414574525 8843236361288 9474896101380 9529349527250 9801616656600 9948640906449 11054045451610 11369875321656 11435219432700 11843620126725 12252020820750 13264854541932 13722263319240 14212344152070 14294024290875 15791493502300 16336027761000 16581068177415 17152829149050 18949792202760 19058699054500 19739366877875 19897281812898 22108090903220 22870438865400 23687240253450 24504041641500 26529709083864 27635113629025 28424688304140 28588048581750 31582987004600 33162136354830 34305658298100 35530860380175 38117398109000 39478733755750 39794563625796 42882072872625 44216181806440 47374480506900 49008083283000 49743204532245 55270227258050 56849376608280 57176097163500 59218100633625 66324272709660 68611316596200 71061720760350 78957467511500 79589127251592 82905340887075 85764145745250 94748961013800 99486409064490 110540454516100 114352194327000 118436201267250 132648545419320 138175568145125 142123441520700 157914935023000 165810681774150 171528291490500 177654301900875 198972818128980 221080909032200 236872402534500 248716022661225 276351136290250 284246883041400 331621363548300 343056582981000 355308603801750 397945636257960 414526704435375 473744805069000 497432045322450 552702272580500 663242727096600 710617207603500 829053408870750 994864090644900 1105404545161000 1243580113306125 1421234415207000 1658106817741500 1989728181289800 2487160226612250 3316213635483000 4974320453224500 9948640906449000
- Sum of all divisors σ(n): 39755357166470400
- Sum of proper divisors (its aliquot sum) s(n): 29806716260021400
- 9948640906449000 is an abundant number, because the sum of its proper divisors (29806716260021400) is greater than itself. Its abundance is 19858075353572400
Bases of 9948640906449000
- Binary: 1000110101100000111100011101110011101000010000011010002
- Hexadecimal: 0x23583C773A1068
- Base-36: 2PYHYJDEIY0
Squares and roots of 9948640906449000
- 9948640906449000 squared (99486409064490002) is 98975455885470380369789601000000
- 9948640906449000 cubed (99486409064490003) is 984671269156629056890844431908054036849000000000
-
The
square root of 9948640906449000 is 99742873.9632511291 -
The
cube root of 9948640906449000 is 215074.0030555763
Scales and comparisons
How big is 9948640906449000?- 9,948,640,906,449,000 seconds is equal to 316,336,007 years, 34 weeks, 1 day, 14 hours, 30 minutes.
-
To count from 1 to 9,948,640,906,449,000 would take you about nine hundred forty-nine million, eight thousand and twenty-two 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 9948640906449000 cubic inches would be around 17922.8 feet tall.
Recreational maths with 9948640906449000
- 9948640906449000 backwards is 0009446090468499
- 9948640906449000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 9948640906449000's digits is 72
- More coming soon!
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