73142653819509120

Names of 73142653819509120

• Cardinal: 73142653819509120 can be written as Seventy-three quadrillion, one hundred forty-two trillion, six hundred fifty-three billion, eight hundred nineteen million, five hundred nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 7.314265381950912 × 10¹⁶

Factors of 73142653819509120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 494741976621

Divisors of 73142653819509120

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 84 88 96 105 110 112 120 128 132 140 154 160 165 168 176 192 210 220 224 231 240 264 280 308 320 330 336 352 384 385 420 440 448 462 480 528 560 616 640 660 672 704 770 840 880 896 924 960 1056 1120 1155 1232 1320 1344 1408 1540 1680 1760 1848 1920 2112 2240 2310 2464 2640 2688 3080 3360 3520 3696 4224 4480 4620 4928 5280 6160 6720 7040 7392 9240 9856 10560 12320 13440 14784 18480 21120 24640 29568 36960 49280 73920 147840 494741976593 989483953186 1484225929779 1978967906372 2473709882965 2968451859558 3463193836151 3957935812744 4947419765930 5442161742523 5936903719116 6926387672302 7421129648895 7915871625488 9894839531860 10389581508453 10884323485046 11873807438232 13852775344604 14842259297790 15831743250976 16326485227569 17315969180755 19789679063720 20779163016906 21768646970092 23747614876464 27210808712615 27705550689208 29684518595580 31663486501952 32652970455138 34631938361510 38095132197661 39579358127440 41558326033812 43537293940184 47495229752928 51947907542265 54421617425230 55411101378416 59369037191160 63326973003904 65305940910276 69263876723020 76190264395322 79158716254880 81632426137845 83116652067624 87074587880368 94990459505856 103895815084530 108843234850460 110822202756832 114285396592983 118738074382320 130611881820552 138527753446040 152380528790644 158317432509760 163264852275690 166233304135248 174149175760736 189980919011712 190475660988305 207791630169060 217686469700920 221644405513664 228570793185966 237476148764640 261223763641104 277055506892080 304761057581288 316634865019520 326529704551380 332466608270496 348298351521472 380951321976610 415583260338120 435372939401840 443288811027328 457141586371932 474952297529280 522447527282208 554111013784160 571426982964915 609522115162576 653059409102760 664933216540992 696596703042944 761902643953220 831166520676240 870745878803680 914283172743864 949904595058560 1044895054564416 1108222027568320 1142853965929830 1219044230325152 1306118818205520 1329866433081984 1523805287906440 1662333041352480 1741491757607360 1828566345487728 2089790109128832 2216444055136640 2285707931859660 2438088460650304 2612237636411040 3047610575812880 3324666082704960 3482983515214720 3657132690975456 4571415863719320 4876176921300608 5224475272822080 6095221151625760 6649332165409920 7314265381950912 9142831727438640 10448950545644160 12190442303251520 14628530763901824 18285663454877280 24380884606503040 36571326909754560 73142653819509120
• Sum of all divisors σ(n): 290670806088506880
• Sum of proper divisors (its aliquot sum) s(n): 217528152268997760
• 73142653819509120 is an abundant number, because the sum of its proper divisors (217528152268997760) is greater than itself. Its abundance is 144385498449488640

Bases of 73142653819509120

• Binary: 100000011110110101101101100101010110101110101100110000000₂
• Hexadecimal: 0x103DADB2AD75980
• Base-36: K06WNAKRZPC

Squares and roots of 73142653819509120

• 73142653819509120 squared (73142653819509120²) is 5349847807760552060585917763174400
• 73142653819509120 cubed (73142653819509120³) is 391302066190089835527649949523353468174620950528000
• The square root of 73142653819509120 is 270448985.6137551129
• The cube root of 73142653819509120 is 418205.9793478005

Scales and comparisons

• 73,142,653,819,509,120 seconds is equal to 2,325,710,146 years, 19 weeks, 4 days, 8 hours, 32 minutes.
• To count from 1 to 73,142,653,819,509,120 would take you about six billion, nine hundred seventy-seven million, one hundred thirty thousand, four hundred thirty-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 73142653819509120 cubic inches would be around 34850.5 feet tall.

Recreational maths with 73142653819509120

• 73142653819509120 backwards is 02190591835624137
• 73142653819509120 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 73142653819509120's digits is 66
• More coming soon!