146820232994400

Names of 146820232994400

• Cardinal: 146820232994400 can be written as One hundred forty-six trillion, eight hundred twenty billion, two hundred thirty-two million, nine hundred ninety-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.468202329944 × 10¹⁴

Factors of 146820232994400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 138719058

Divisors of 146820232994400

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 84 90 96 98 100 105 108 112 120 126 135 140 144 147 150 160 168 175 180 189 196 200 210 216 224 225 240 245 252 270 280 288 294 300 315 336 350 360 378 392 400 420 432 441 450 480 490 504 525 540 560 588 600 630 672 675 700 720 735 756 784 800 840 864 882 900 945 980 1008 1050 1080 1120 1176 1200 1225 1260 1323 1350 1400 1440 1470 1512 1568 1575 1680 1764 1800 1890 1960 2016 2100 2160 2205 2352 2400 2450 2520 2646 2700 2800 2940 3024 3150 3360 3528 3600 3675 3780 3920 4200 4320 4410 4704 4725 4900 5040 5292 5400 5600 5880 6048 6300 6615 7056 7200 7350 7560 7840 8400 8820 9450 9800 10080 10584 10800 11025 11760 12600 13230 14112 14700 15120 16800 17640 18900 19600 21168 21600 22050 23520 25200 26460 29400 30240 33075 35280 37800 39200 42336 44100 50400 52920 58800 66150 70560 75600 88200 105840 117600 132300 151200 176400 211680 264600 352800 529200 1058400 138719041 277438082 416157123 554876164 693595205 832314246 971033287 1109752328 1248471369 1387190410 1664628492 1942066574 2080785615 2219504656 2496942738 2774380820 2913099861 3329256984 3467976025 3745414107 3884133148 4161571230 4439009312 4855166435 4993885476 5548761640 5826199722 6242356845 6658513968 6797233009 6935952050 7490828214 7768266296 8323142460 8739299583 9710332870 9987770952 10403928075 11097523280 11652399444 12484713690 13317027936 13594466018 13871904100 14565499305 14981656428 15536532592 16646284920 17478599166 18727070535 19420665740 19975541904 20391699027 20807856150 22195046560 23304798888 24275832175 24969427380 26217898749 27188932036 27743808200 29130998610 29963312856 31073065184 31211784225 33292569840 33986165045 34957198332 37454141070 38841331480 39951083808 40783398054 41615712300 43696497915 46609597776 48551664350 49938854760 52435797498 54377864072 55487616400 58261997220 59926625712 61175097081 62423568450 66585139680 67972330090 69914396664 72827496525 74908282140 77682662960 81566796108 83231424600 87392995830 93219195552 93635352675 97103328700 99877709520 101958495135 104871594996 108755728144 110975232800 116523994440 119853251424 122350194162 124847136900 131089493745 135944660180 139828793328 145654993050 149816564280 155365325920 163133592216 166462849200 169930825225 174785991660 183525291243 187270705350 194206657400 199755419040 203916990270 209743189992 217511456288 218482489575 233047988880 244700388324 249694273800 262178987490 271889320360 279657586656 291309986100 299633128560 305875485405 326267184432 332925698400 339861650450 349571983320 367050582486 374541410700 388413314800 407833980540 419486379984 436964979150 466095977760 489400776648 499388547600 509792475675 524357974980 543778640720 582619972200 599266257120 611750970810 652534368864 655447468725 679723300900 699143966640 734101164972 749082821400 776826629600 815667961080 838972759968 873929958300 917626456215 978801553296 998777095200 1019584951350 1048715949960 1087557281440 1165239944400 1223501941620 1310894937450 1359446601800 1398287933280 1468202329944 1498165642800 1529377427025 1631335922160 1747859916600 1835252912430 1957603106592 2039169902700 2097431899920 2330479888800 2447003883240 2621789874900 2718893203600 2936404659888 2996331285600 3058754854050 3262671844320 3495719833200 3670505824860 4078339805400 4194863799840 4588132281075 4894007766480 5243579749800 5437786407200 5872809319776 6117509708100 6991439666400 7341011649720 8156679610800 9176264562150 9788015532960 10487159499600 12235019416200 14682023299440 16313359221600 18352529124300 20974318999200 24470038832400 29364046598880 36705058248600 48940077664800 73410116497200 146820232994400
• Sum of all divisors σ(n): 617693698979280
• Sum of proper divisors (its aliquot sum) s(n): 470873465984880
• 146820232994400 is an abundant number, because the sum of its proper divisors (470873465984880) is greater than itself. Its abundance is 324053232990480

Bases of 146820232994400

• Binary: 100001011000100000111111110101010101111001100000₂
• Hexadecimal: 0x85883FD55E60
• Base-36: 1G1KA7XSO0

Squares and roots of 146820232994400

• 146820232994400 squared (146820232994400²) is 21556180816529902390431360000
• 146820232994400 cubed (146820232994400³) is 3164883489952335907857821792320464384000000
• The square root of 146820232994400 is 12116939.9187418603
• The cube root of 146820232994400 is 52754.7986313921

Scales and comparisons

• 146,820,232,994,400 seconds is equal to 4,668,429 years, 13 weeks, 5 days, 6 hours.
• To count from 1 to 146,820,232,994,400 would take you about eleven million, six hundred seventy-one thousand and seventy-three 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 146820232994400 cubic inches would be around 4396.2 feet tall.

Recreational maths with 146820232994400

• 146820232994400 backwards is 004499232028641
• 146820232994400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146820232994400's digits is 54
• More coming soon!