146214685649096400

Names of 146214685649096400

• Cardinal: 146214685649096400 can be written as One hundred forty-six quadrillion, two hundred fourteen trillion, six hundred eighty-five billion, six hundred forty-nine million, ninety-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.462146856490964 × 10¹⁷

Factors of 146214685649096400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 4172128

Divisors of 146214685649096400

• Number of divisors d(n): 180
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 4172111 8344222 12516333 16688444 20860555 25032666 29204777 33376888 41721110 50065332 58409554 62581665 66753776 83442220 87614331 100130664 104302775 116819108 125163330 146023885 166884440 175228662 200261328 208605550 233638216 250326660 292047770 312908325 333768880 350457324 417211100 438071655 467276432 500653320 584095540 625816650 700914648 730119425 834422200 876143310 1001306640 1168191080 1251633300 1401829296 1460238850 1668844400 1752286620 2190358275 2336382160 2503266600 2920477700 3504573240 4380716550 5006533200 5840955400 7009146480 8761433100 11681910800 17522866200 35045732400 17406510196321 34813020392642 52219530588963 69626040785284 87032550981605 104439061177926 121845571374247 139252081570568 174065101963210 208878122355852 243691142748494 261097652944815 278504163141136 348130203926420 365536714122741 417756244711704 435162754908025 487382285496988 522195305889630 609227856871235 696260407852840 731073428245482 835512489423408 870325509816050 974764570993976 1044390611779260 1218455713742470 1305488264724075 1392520815705680 1462146856490964 1740651019632100 1827683570613705 1949529141987952 2088781223558520 2436911427484940 2610976529448150 2924293712981928 3046139284356175 3481302039264200 3655367141227410 4177562447117040 4873822854969880 5221953058896300 5848587425963856 6092278568712350 6962604078528400 7310734282454820 9138417853068525 9747645709939760 10443906117792600 12184557137424700 14621468564909640 18276835706137050 20887812235585200 24369114274849400 29242937129819280 36553671412274100 48738228549698800 73107342824548200 146214685649096400
• Sum of all divisors σ(n): 535285129858051616
• Sum of proper divisors (its aliquot sum) s(n): 389070444208955216
• 146214685649096400 is an abundant number, because the sum of its proper divisors (389070444208955216) is greater than itself. Its abundance is 242855758559858816

Bases of 146214685649096400

• Binary: 1000000111011101010111101101011111000011110100111011010000₂
• Hexadecimal: 0x207757B5F0F4ED0
• Base-36: 13ZOS3AK5T5C

Squares and roots of 146214685649096400

• 146214685649096400 squared (146214685649096400²) is 21378734299464076742594136492960000
• 146214685649096400 cubed (146214685649096400³) is 3125884915171695120072881893106731776288961344000000
• The square root of 146214685649096400 is 382380289.3051580921
• The cube root of 146214685649096400 is 526821.7115724209

Scales and comparisons

• 146,214,685,649,096,400 seconds is equal to 4,649,174,731 years, 48 weeks, 2 hours, 20 minutes.
• To count from 1 to 146,214,685,649,096,400 would take you about thirteen billion, nine hundred forty-seven million, five hundred twenty-four thousand, one hundred ninety-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 146214685649096400 cubic inches would be around 43901.8 feet tall.

Recreational maths with 146214685649096400

• 146214685649096400 backwards is 004690946586412641
• 146214685649096400 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 146214685649096400's digits is 75
• More coming soon!