444429020041690104000

Names of 444429020041690104000

• Cardinal: 444429020041690104000 can be written as Four hundred forty-four quintillion, four hundred twenty-nine quadrillion, twenty trillion, forty-one billion, six hundred ninety million, one hundred four thousand.

Scientific notation

• Scientific notation: 4.44429020041690104 × 10²⁰

Factors of 444429020041690104000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 127199

Divisors of 444429020041690104000

• Number of divisors d(n): 336
• 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 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 400 432 450 480 500 540 576 600 675 720 750 800 864 900 960 1000 1080 1125 1200 1350 1440 1500 1600 1728 1800 2000 2160 2250 2400 2700 2880 3000 3375 3600 4000 4320 4500 4800 5400 6000 6750 7200 8000 8640 9000 10800 12000 13500 14400 18000 21600 24000 27000 36000 43200 54000 72000 108000 127189 216000 254378 381567 508756 635945 763134 1017512 1144701 1271890 1526268 1907835 2035024 2289402 2543780 3052536 3179725 3434103 3815670 4070048 4578804 5087560 5723505 6105072 6359450 6868206 7631340 8140096 9157608 9539175 10175120 11447010 12210144 12718900 13736412 15262680 15898625 17170515 18315216 19078350 20350240 22894020 24420288 25437800 27472824 28617525 30525360 31797250 34341030 36630432 38156700 40700480 45788040 47695875 50875600 54945648 57235050 61050720 63594500 68682060 73260864 76313400 85852575 91576080 95391750 101751200 109891296 114470100 122101440 127189000 137364120 143087625 152626800 171705150 183152160 190783500 203502400 219782592 228940200 254378000 274728240 286175250 305253600 343410300 366304320 381567000 429262875 457880400 508756000 549456480 572350500 610507200 686820600 763134000 858525750 915760800 1017512000 1098912960 1144701000 1373641200 1526268000 1717051500 1831521600 2289402000 2747282400 3052536000 3434103000 4578804000 5494564800 6868206000 9157608000 13736412000 16177041721 27472824000 32354083442 48531125163 64708166884 80885208605 97062250326 129416333768 145593375489 161770417210 194124500652 242655625815 258832667536 291186750978 323540834420 388249001304 404426043025 436780126467 485311251630 517665335072 582373501956 647081668840 727966877445 776498002608 808852086050 873560252934 970622503260 1035330670144 1164747003912 1213278129075 1294163337680 1455933754890 1552996005216 1617704172100 1747120505868 1941245006520 2022130215125 2183900632335 2329494007824 2426556258150 2588326675360 2911867509780 3105992010432 3235408344200 3494241011736 3639834387225 3882490013040 4044260430250 4367801264670 4658988015648 4853112516300 5176653350720 5823735019560 6066390645375 6470816688400 6988482023472 7279668774450 7764980026080 8088520860500 8735602529340 9317976031296 9706225032600 10919503161675 11647470039120 12132781290750 12941633376800 13976964046944 14559337548900 15529960052160 16177041721000 17471205058680 18199171936125 19412450065200 21839006323350 23294940078240 24265562581500 25883266753600 27953928093888 29118675097800 32354083442000 34942410117360 36398343872250 38824900130400 43678012646700 46589880156480 48531125163000 54597515808375 58237350195600 64708166884000 69884820234720 72796687744500 77649800260800 87356025293400 97062250326000 109195031616750 116474700391200 129416333768000 139769640469440 145593375489000 174712050586800 194124500652000 218390063233500 232949400782400 291186750978000 349424101173600 388249001304000 436780126467000 582373501956000 698848202347200 873560252934000 1164747003912000 1747120505868000 3494241011736000
• Sum of all divisors σ(n): 444438345883496957280
• Sum of proper divisors (its aliquot sum) s(n): 9325841806853280
• 444429020041690104000 is a deficient number, because the sum of its proper divisors (9325841806853280) is less than itself. Its deficiency is 444419694199883250720

Bases of 444429020041690104000

• Binary: 110000001011110110001000011110000101011000011111001100100000011000000₂
• Hexadecimal: 0x1817B10F0AC3E640C0
• Base-36: 2LSKA385BLKMO0

Squares and roots of 444429020041690104000

• 444429020041690104000 squared (444429020041690104000²) is 197517153855216984130574224771530816000000
• 444429020041690104000 cubed (444429020041690104000³) is 87782355129297816830514651763441153465124815958244864000000000
• The square root of 444429020041690104000 is 21081485242.7833012015
• 444429020041690104000 is a perfect cube number. Its cube root is 7631340

Scales and comparisons

• 444,429,020,041,690,104,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 444,429,020,041,690,104,000 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 444429020041690104000 cubic inches would be around 635945 feet tall.

Recreational maths with 444429020041690104000

• 444429020041690104000 backwards is 000401096140020924444
• 444429020041690104000 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 444429020041690104000's digits is 54
• More coming soon!