34045824796983824000

Names of 34045824796983824000

• Cardinal: 34045824796983824000 can be written as Thirty-four quintillion, forty-five quadrillion, eight hundred twenty-four trillion, seven hundred ninety-six billion, nine hundred eighty-three million, eight hundred twenty-four thousand.

Scientific notation

• Scientific notation: 3.4045824796983824 × 10¹⁹

Factors of 34045824796983824000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 78667016038

Divisors of 34045824796983824000

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2459 2750 3200 3520 4000 4400 4918 5500 7040 8000 8800 9836 11000 12295 16000 17600 19672 22000 24590 27049 35200 39344 44000 49180 54098 61475 78688 88000 98360 108196 122950 135245 157376 176000 196720 216392 245900 270490 307375 314752 393440 432784 491800 540980 614750 676225 786880 865568 983600 1081960 1229500 1352450 1573760 1731136 1967200 2163920 2459000 2704900 3381125 3462272 3934400 4327840 4918000 5409800 6762250 7868800 8655680 9836000 10819600 13524500 17311360 19672000 21639200 27049000 39344000 43278400 54098000 86556800 108196000 216392000 432784000 78667013561 157334027122 314668054244 393335067805 629336108488 786670135610 865337149171 1258672216976 1573340271220 1730674298342 1966675339025 2517344433952 3146680542440 3461348596684 3933350678050 4326685745855 5034688867904 6293361084880 6922697193368 7866701356100 8653371491710 9833376695125 10069377735808 12586722169760 13845394386736 15733402712200 17306742983420 19666753390250 21633428729275 25173444339520 27690788773472 31466805424400 34613485966840 39333506780500 43266857458550 50346888679040 55381577546944 62933610848800 69226971933680 78667013561000 86533714917100 108167143646375 110763155093888 125867221697600 138453943867360 157334027122000 173067429834200 193442186346499 216334287292750 251734443395200 276907887734720 314668054244000 346134859668400 386884372692998 432668574585500 553815775469440 629336108488000 692269719336800 773768745385996 865337149171000 967210931732495 1258672216976000 1384539438673600 1547537490771992 1730674298342000 1934421863464990 2127864049811489 2769078877347200 3095074981543984 3461348596684000 3868843726929980 4255728099622978 4836054658662475 6190149963087968 6922697193368000 7737687453859960 8511456199245956 9672109317324950 10639320249057445 12380299926175936 13845394386736000 15475374907719920 17022912398491912 19344218634649900 21278640498114890 24180273293312375 24760599852351872 30950749815439840 34045824796983824 38688437269299800 42557280996229780 48360546586624750 53196601245287225 61901499630879680 68091649593967648 77376874538599600 85114561992459560 96721093173249500 106393202490574450 123802999261759360 136183299187935296 154753749077199200 170229123984919120 193442186346499000 212786404981148900 265983006226436125 272366598375870592 309507498154398400 340458247969838240 386884372692998000 425572809962297800 531966012452872250 619014996308796800 680916495939676480 773768745385996000 851145619924595600 1063932024905744500 1361832991879352960 1547537490771992000 1702291239849191200 2127864049811489000 3095074981543984000 3404582479698382400 4255728099622978000 6809164959396764800 8511456199245956000 17022912398491912000 34045824796983824000
• Sum of all divisors σ(n): 92379114561132547200
• Sum of proper divisors (its aliquot sum) s(n): 58333289764148723200
• 34045824796983824000 is an abundant number, because the sum of its proper divisors (58333289764148723200) is greater than itself. Its abundance is 24287464967164899200

Bases of 34045824796983824000

• Binary: 11101100001111011000100010100010100110101011010000000111010000000₂
• Hexadecimal: 0x1D87B114535680E80
• Base-36: 76NWTND1DAS8W

Squares and roots of 34045824796983824000

• 34045824796983824000 squared (34045824796983824000²) is 1159118186106918640685167717662976000000
• 34045824796983824000 cubed (34045824796983824000³) is 39463134683193841654522150636182319916614955700224000000000
• The square root of 34045824796983824000 is 5834880015.6458936393
• The cube root of 34045824796983824000 is 3241066.5846882561

Scales and comparisons

• 34,045,824,796,983,824,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 34,045,824,796,983,824,000 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 34045824796983824000 cubic inches would be around 270088.9 feet tall.

Recreational maths with 34045824796983824000

• 34045824796983824000 backwards is 00042838969742854043
• The number of decimal digits it has is: 20
• The sum of 34045824796983824000's digits is 86
• More coming soon!