19948175424000

Names of 19948175424000

• Cardinal: 19948175424000 can be written as Nineteen trillion, nine hundred forty-eight billion, one hundred seventy-five million, four hundred twenty-four thousand.

Scientific notation

• Scientific notation: 1.9948175424 × 10¹³

Factors of 19948175424000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 281614

Divisors of 19948175424000

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 75 80 82 90 96 100 108 120 123 125 128 135 144 150 160 164 180 192 200 205 216 225 240 246 250 256 270 288 300 320 328 360 369 375 384 400 410 432 450 480 492 500 512 540 576 600 615 640 656 675 720 738 750 768 800 820 864 900 960 984 1000 1025 1080 1107 1125 1152 1200 1230 1280 1312 1350 1440 1476 1500 1536 1600 1640 1728 1800 1845 1920 1968 2000 2050 2160 2214 2250 2304 2400 2460 2560 2624 2700 2880 2952 3000 3075 3200 3280 3375 3456 3600 3690 3840 3936 4000 4100 4320 4428 4500 4608 4800 4920 5125 5248 5400 5535 5760 5904 6000 6150 6400 6560 6750 6912 7200 7380 7680 7872 8000 8200 8640 8856 9000 9225 9600 9840 10250 10496 10800 11070 11520 11808 12000 12300 12800 13120 13500 13824 14400 14760 15375 15744 16000 16400 17280 17712 18000 18450 19200 19680 20500 20992 21600 22140 23040 23616 24000 24600 26240 27000 27675 28800 29520 30750 31488 32000 32800 34560 35424 36000 36900 38400 39360 41000 43200 44280 46125 47232 48000 49200 52480 54000 55350 57600 59040 61500 62976 64000 65600 69120 70848 72000 73800 78720 82000 86400 88560 92250 94464 96000 98400 104960 108000 110700 115200 118080 123000 131200 138375 141696 144000 147600 157440 164000 172800 177120 184500 188928 192000 196800 216000 221400 236160 246000 262400 276750 281563 283392 288000 295200 314880 328000 345600 354240 369000 393600 432000 442800 472320 492000 524800 553500 563126 566784 576000 590400 656000 708480 738000 787200 844689 864000 885600 944640 984000 1107000 1126252 1180800 1312000 1407815 1416960 1476000 1574400 1689378 1728000 1771200 1968000 2214000 2252504 2361600 2534067 2624000 2815630 2833920 2952000 3378756 3542400 3936000 4223445 4428000 4505008 4723200 5068134 5631260 5904000 6757512 7039075 7084800 7602201 7872000 8446890 8856000 9010016 10136268 11262520 11544083 11808000 12670335 13515024 14078150 14169600 15204402 16893780 17712000 18020032 20272536 21117225 22525040 23088166 23616000 25340670 27030048 28156300 30408804 33787560 34632249 35195375 35424000 36040064 38011005 40545072 42234450 45050080 46176332 50681340 54060096 56312600 57720415 60817608 63351675 67575120 69264498 70390750 70848000 72080128 76022010 81090144 84468900 90100160 92352664 101362680 103896747 105586125 108120192 112625200 115440830 121635216 126703350 135150240 138528996 140781500 144160256 152044020 162180288 168937800 173161245 180200320 184705328 190055025 202725360 207793494 211172250 216240384 225250400 230881660 243270432 253406700 270300480 277057992 281563000 288602075 304088040 311690241 316758375 324360576 337875600 346322490 360400640 369410656 380110050 405450720 415586988 422344500 432480768 450500800 461763320 486540864 506813400 519483735 540600960 554115984 563126000 577204150 608176080 623380482 633516750 648721152 675751200 692644980 720801280 738821312 760220100 810901440 831173976 844689000 865806225 901001600 923526640 950275125 973081728 1013626800 1038967470 1081201920 1108231968 1126252000 1154408300 1216352160 1246760964 1267033500 1297442304 1351502400 1385289960 1443010375 1477642624 1520440200 1558451205 1621802880 1662347952 1689378000 1731612450 1802003200 1847053280 1900550250 1946163456 2027253600 2077934940 2162403840 2216463936 2252504000 2308816600 2432704320 2493521928 2534067000 2597418675 2703004800 2770579920 2886020750 2955285248 3040880400 3116902410 3243605760 3324695904 3378756000 3463224900 3604006400 3694106560 3801100500 3892326912 4054507200 4155869880 4329031125 4432927872 4505008000 4617633200 4865408640 4987043856 5068134000 5194837350 5406009600 5541159840 5772041500 5910570496 6081760800 6233804820 6487211520 6649391808 6757512000 6926449800 7388213120 7602201000 7792256025 8109014400 8311739760 8658062250 8865855744 9010016000 9235266400 9730817280 9974087712 10136268000 10389674700 10812019200 11082319680 11544083000 12163521600 12467609640 12987093375 13298783616 13515024000 13852899600 14776426240 15204402000 15584512050 16218028800 16623479520 17316124500 17731711488 18020032000 18470532800 19461634560 19948175424 20272536000 20779349400 22164639360 23088166000 24327043200 24935219280 25974186750 26597567232 27030048000 27705799200 29552852480 30408804000 31169024100 32436057600 33246959040 34632249000 36941065600 38961280125 39896350848 40545072000 41558698800 44329278720 46176332000 48654086400 49870438560 51948373500 53195134464 54060096000 55411598400 60817608000 62338048200 66493918080 69264498000 73882131200 77922560250 79792701696 81090144000 83117397600 88658557440 92352664000 97308172800 99740877120 103896747000 110823196800 121635216000 124676096400 132987836160 138528996000 147764262400 155845120500 159585403392 162180288000 166234795200 184705328000 199481754240 207793494000 221646393600 243270432000 249352192800 265975672320 277057992000 311690241000 332469590400 369410656000 398963508480 415586988000 443292787200 486540864000 498704385600 554115984000 623380482000 664939180800 738821312000 797927016960 831173976000 997408771200 1108231968000 1246760964000 1329878361600 1662347952000 1994817542400 2216463936000 2493521928000 3324695904000 3989635084800 4987043856000 6649391808000 9974087712000 19948175424000
• Sum of all divisors σ(n): 75489515861760
• Sum of proper divisors (its aliquot sum) s(n): 55541340437760
• 19948175424000 is an abundant number, because the sum of its proper divisors (55541340437760) is greater than itself. Its abundance is 35593165013760

Bases of 19948175424000

• Binary: 100100010010010001011111010001111101000000000₂
• Hexadecimal: 0x12248BE8FA00
• Base-36: 72K2CLMO0

Squares and roots of 19948175424000

• 19948175424000 squared (19948175424000²) is 397929702746677579776000000
• 19948175424000 cubed (19948175424000³) is 7937971516810898994539402625024000000000
• The square root of 19948175424000 is 4466338.0328855539
• The cube root of 19948175424000 is 27120.7102954381

Scales and comparisons

• 19,948,175,424,000 seconds is equal to 634,290 years, 14 weeks, 2 days.
• To count from 1 to 19,948,175,424,000 would take you about one million, five hundred eighty-five thousand, seven hundred twenty-five 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 19948175424000 cubic inches would be around 2260.1 feet tall.

Recreational maths with 19948175424000

• 19948175424000 backwards is 00042457184991
• 19948175424000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 19948175424000's digits is 54
• More coming soon!