34430507431042190400

Names of 34430507431042190400

• Cardinal: 34430507431042190400 can be written as Thirty-four quintillion, four hundred thirty quadrillion, five hundred seven trillion, four hundred thirty-one billion, forty-two million, one hundred ninety thousand, four hundred.

Scientific notation

• Scientific notation: 3.44305074310421904 × 10¹⁹

Factors of 34430507431042190400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 48897939

Divisors of 34430507431042190400

• Number of divisors d(n): 189
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 48897929 97795858 146693787 195591716 244489645 293387574 391183432 440081361 488979290 586775148 733468935 782366864 880162722 977958580 1173550296 1222448225 1466937870 1564733728 1760325444 1955917160 2200406805 2347100592 2444896450 2933875740 3129467456 3520650888 3667344675 3911834320 4400813610 4694201184 4889792900 5867751480 7041301776 7334689350 7823668640 8801627220 9388402368 9779585800 11002034025 11735502960 14082603552 14669378700 15647337280 17603254440 19559171600 22004068050 23471005920 28165207104 29338757400 35206508880 39118343200 44008136100 46942011840 58677514800 70413017760 78236686400 88016272200 117355029600 140826035520 176032544400 234710059200 352065088800 704130177600 2391007460489041 4782014920978082 7173022381467123 9564029841956164 11955037302445205 14346044762934246 19128059683912328 21519067144401369 23910074604890410 28692089525868492 35865111907335615 38256119367824656 43038134288802738 47820149209780820 57384179051736984 59775186512226025 71730223814671230 76512238735649312 86076268577605476 95640298419561640 107595335722006845 114768358103473968 119550373024452050 143460447629342460 153024477471298624 172152537155210952 179325559536678075 191280596839123280 215190671444013690 229536716206947936 239100746048904100 286920895258684920 344305074310421904 358651119073356150 382561193678246560 430381342888027380 459073432413895872 478201492097808200 537976678610034225 573841790517369840 688610148620843808 717302238146712300 765122387356493120 860762685776054760 956402984195616400 1075953357220068450 1147683581034739680 1377220297241687616 1434604476293424600 1721525371552109520 1912805968391232800 2151906714440136900 2295367162069479360 2869208952586849200 3443050743104219040 3825611936782465600 4303813428880273800 5738417905173698400 6886101486208438080 8607626857760547600 11476835810347396800 17215253715521095200 34430507431042190400
• Sum of all divisors σ(n): 122374155337934562751
• Sum of proper divisors (its aliquot sum) s(n): 87943647906892372351
• 34430507431042190400 is an abundant number, because the sum of its proper divisors (87943647906892372351) is greater than itself. Its abundance is 53513140475850181951

Bases of 34430507431042190400

• Binary: 11101110111010001101111000001011001111111101101111000110001000000₂
• Hexadecimal: 0x1DDD1BC167FB78C40
• Base-36: 79L4K9FGSDCG0

Squares and roots of 34430507431042190400

• 34430507431042190400 squared (34430507431042190400²) is 1185459841959051493522435504829852160000
• 34430507431042190400 cubed (34430507431042190400³) is 40815983897773223070352053180394770148434374354571264000000
• 34430507431042190400 is a perfect square number. Its square root is 5867751480
• The cube root of 34430507431042190400 is 3253227.7969341415

Scales and comparisons

• 34,430,507,431,042,190,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 34,430,507,431,042,190,400 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 34430507431042190400 cubic inches would be around 271102.3 feet tall.

Recreational maths with 34430507431042190400

• 34430507431042190400 backwards is 00409124013470503443
• The number of decimal digits it has is: 20
• The sum of 34430507431042190400's digits is 54
• More coming soon!