31446961039872

Names of 31446961039872

• Cardinal: 31446961039872 can be written as Thirty-one trillion, four hundred forty-six billion, nine hundred sixty-one million, thirty-nine thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 3.1446961039872 × 10¹³

Factors of 31446961039872

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 2015

Divisors of 31446961039872

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 512 567 576 648 672 729 756 768 864 896 972 1008 1134 1152 1296 1344 1458 1512 1536 1701 1728 1792 1944 2003 2016 2187 2268 2304 2592 2688 2916 3024 3402 3456 3584 3888 4006 4032 4374 4536 4608 5103 5184 5376 5832 6009 6048 6804 6912 7776 8012 8064 8748 9072 10206 10368 10752 11664 12018 12096 13608 13824 14021 15309 15552 16024 16128 17496 18027 18144 20412 20736 23328 24036 24192 27216 28042 30618 31104 32048 32256 34992 36054 36288 40824 41472 42063 46656 48072 48384 54081 54432 56084 61236 62208 64096 69984 72108 72576 81648 84126 93312 96144 96768 108162 108864 112168 122472 124416 126189 128192 139968 144216 145152 162243 163296 168252 186624 192288 216324 217728 224336 244944 252378 256384 279936 288432 290304 324486 326592 336504 373248 378567 384576 432648 435456 448672 486729 489888 504756 512768 559872 576864 648972 653184 673008 757134 769152 865296 870912 897344 973458 979776 1009512 1025536 1119744 1135701 1153728 1297944 1306368 1346016 1460187 1514268 1538304 1730592 1794688 1946916 1959552 2019024 2271402 2307456 2595888 2612736 2692032 2920374 3028536 3076608 3407103 3461184 3589376 3893832 3919104 4012009 4038048 4380561 4542804 4614912 5191776 5384064 5840748 6057072 6814206 6922368 7178752 7787664 7838208 8024018 8076096 8761122 9085608 9229824 10221309 10383552 10768128 11681496 12036027 12114144 13628412 13844736 15575328 16048036 16152192 17522244 18171216 20442618 20767104 21536256 23362992 24072054 24228288 27256824 27689472 28084063 30663927 31150656 32096072 32304384 35044488 36108081 36342432 40885236 41534208 46725984 48144108 48456576 54513648 56168126 61327854 62301312 64192144 64608768 70088976 72216162 72684864 81770472 83068416 84252189 93451968 96288216 96913152 108324243 109027296 112336252 122655708 124602624 128384288 140177952 144432324 145369728 163540944 168504378 186903936 192576432 193826304 216648486 218054592 224672504 245311416 249205248 252756567 256768576 280355904 288864648 290739456 324972729 327081888 337008756 373807872 385152864 433296972 436109184 449345008 490622832 505513134 513537152 560711808 577729296 581478912 649945458 654163776 674017512 747615744 758269701 770305728 866593944 872218368 898690016 974918187 981245664 1011026268 1027074304 1121423616 1155458592 1299890916 1308327552 1348035024 1516539402 1540611456 1733187888 1744436736 1797380032 1949836374 1962491328 2022052536 2054148608 2242847232 2274809103 2310917184 2599781832 2616655104 2696070048 2924754561 3033078804 3081222912 3466375776 3594760064 3899672748 3924982656 4044105072 4549618206 4621834368 5199563664 5233310208 5392140096 5849509122 6066157608 6162445824 6824427309 6932751552 7189520128 7799345496 7849965312 8088210144 8774263683 9099236412 9243668736 10399127328 10784280192 11699018244 12132315216 13648854618 13865503104 14379040256 15598690992 15699930624 16176420288 17548527366 18198472824 18487337472 20473281927 20798254656 21568560384 23398036488 24264630432 27297709236 27731006208 31197381984 32352840576 35097054732 36396945648 40946563854 41596509312 43137120768 46796072976 48529260864 54595418472 55462012416 61419845781 62394763968 64705681152 70194109464 72793891296 81893127708 83193018624 93592145952 97058521728 109190836944 122839691562 124789527936 129411362304 140388218928 145587782592 163786255416 166386037248 187184291904 194117043456 218381673888 245679383124 249579055872 280776437856 291175565184 327572510832 374368583808 388234086912 436763347776 491358766248 499158111744 561552875712 582351130368 655145021664 748737167616 873526695552 982717532496 1123105751424 1164702260736 1310290043328 1497474335232 1747053391104 1965435064992 2246211502848 2620580086656 3494106782208 3930870129984 4492423005696 5241160173312 7861740259968 10482320346624 15723480519936 31446961039872
• Sum of all divisors σ(n): 107750238245760
• Sum of proper divisors (its aliquot sum) s(n): 76303277205888
• 31446961039872 is an abundant number, because the sum of its proper divisors (76303277205888) is greater than itself. Its abundance is 44856316166016

Bases of 31446961039872

• Binary: 111001001100111010000111100010010101000000000₂
• Hexadecimal: 0x1C99D0F12A00
• Base-36: B5AJ8O000

Squares and roots of 31446961039872

• 31446961039872 squared (31446961039872²) is 988911358643227459573776384
• 31446961039872 cubed (31446961039872³) is 31098256967140460527168387838494635982848
• The square root of 31446961039872 is 5607759.0033695279
• The cube root of 31446961039872 is 31564.0624671163

Scales and comparisons

• 31,446,961,039,872 seconds is equal to 999,916 years, 4 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 31,446,961,039,872 would take you about two million, four hundred ninety-nine thousand, seven hundred ninety 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 31446961039872 cubic inches would be around 2630.3 feet tall.

Recreational maths with 31446961039872

• 31446961039872 backwards is 27893016964413
• 31446961039872 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 31446961039872's digits is 63
• More coming soon!