131974974028960000

Names of 131974974028960000

• Cardinal: 131974974028960000 can be written as One hundred thirty-one quadrillion, nine hundred seventy-four trillion, nine hundred seventy-four billion, twenty-eight million, nine hundred sixty thousand.

Scientific notation

• Scientific notation: 1.3197497402896 × 10¹⁷

Factors of 131974974028960000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 960

Divisors of 131974974028960000

• Number of divisors d(n): 225
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 953 1000 1250 1280 1600 1906 2000 2500 3200 3812 4000 4765 5000 6400 7624 8000 9530 10000 15248 16000 19060 20000 23825 30496 32000 38120 40000 47650 60992 76240 80000 95300 119125 121984 152480 160000 190600 238250 243968 304960 381200 476500 595625 609920 762400 908209 953000 1191250 1219840 1524800 1816418 1906000 2382500 3049600 3632836 3812000 4541045 4765000 6099200 7265672 7624000 9082090 9530000 14531344 15248000 18164180 19060000 22705225 29062688 30496000 36328360 38120000 45410450 58125376 72656720 76240000 90820900 113526125 116250752 145313440 152480000 181641800 227052250 232501504 290626880 363283600 454104500 567630625 581253760 726567200 865523177 908209000 1135261250 1162507520 1453134400 1731046354 1816418000 2270522500 2906268800 3462092708 3632836000 4327615885 4541045000 5812537600 6924185416 7265672000 8655231770 9082090000 13848370832 14531344000 17310463540 18164180000 21638079425 27696741664 29062688000 34620927080 36328360000 43276158850 55393483328 69241854160 72656720000 86552317700 108190397125 110786966656 138483708320 145313440000 173104635400 216380794250 221573933312 276967416640 346209270800 432761588500 540951985625 553934833280 692418541600 824843587681 865523177000 1081903971250 1107869666560 1384837083200 1649687175362 1731046354000 2163807942500 2769674166400 3299374350724 3462092708000 4124217938405 4327615885000 5539348332800 6598748701448 6924185416000 8248435876810 8655231770000 13197497402896 13848370832000 16496871753620 17310463540000 20621089692025 26394994805792 27696741664000 32993743507240 34620927080000 41242179384050 52789989611584 65987487014480 69241854160000 82484358768100 103105448460125 105579979223168 131974974028960 138483708320000 164968717536200 206210896920250 211159958446336 263949948057920 329937435072400 412421793840500 515527242300625 527899896115840 659874870144800 824843587681000 1031054484601250 1055799792231680 1319749740289600 1649687175362000 2062108969202500 2639499480579200 3299374350724000 4124217938405000 5278998961158400 6598748701448000 8248435876810000 13197497402896000 16496871753620000 26394994805792000 32993743507240000 65987487014480000 131974974028960000
• Sum of all divisors σ(n): 329533437600200911
• Sum of proper divisors (its aliquot sum) s(n): 197558463571240911
• 131974974028960000 is an abundant number, because the sum of its proper divisors (197558463571240911) is greater than itself. Its abundance is 65583489542280911

Bases of 131974974028960000

• Binary: 111010100110111101000101000100110001111001101000100000000₂
• Hexadecimal: 0x1D4DE8A263CD100
• Base-36: 103H822ZZOCG

Squares and roots of 131974974028960000

• 131974974028960000 squared (131974974028960000²) is 17417393769944666494918681600000000
• 131974974028960000 cubed (131974974028960000³) is 2298660090440617065683161677967123419136000000000000
• 131974974028960000 is a perfect square number. Its square root is 363283600
• The cube root of 131974974028960000 is 509132.1573262715

Scales and comparisons

• 131,974,974,028,960,000 seconds is equal to 4,196,395,948 years, 37 weeks, 4 days, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 131,974,974,028,960,000 would take you about twelve billion, five hundred eighty-nine million, one hundred eighty-seven thousand, eight hundred forty-six 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 131974974028960000 cubic inches would be around 42427.7 feet tall.

Recreational maths with 131974974028960000

• 131974974028960000 backwards is 000069820479479131
• The number of decimal digits it has is: 18
• The sum of 131974974028960000's digits is 70
• More coming soon!