146831880175884009720

Names of 146831880175884009720

• Cardinal: 146831880175884009720 can be written as One hundred forty-six quintillion, eight hundred thirty-one quadrillion, eight hundred eighty trillion, one hundred seventy-five billion, eight hundred eighty-four million, nine thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.4683188017588400972 × 10²⁰

Factors of 146831880175884009720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 21219829032089

Divisors of 146831880175884009720

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 149 172 180 215 216 258 270 298 344 360 387 430 447 516 540 596 645 745 774 860 894 1032 1080 1161 1192 1290 1341 1490 1548 1720 1788 1935 2235 2322 2580 2682 2980 3096 3576 3870 4023 4470 4644 5160 5364 5805 5960 6407 6705 7740 8046 8940 9288 10728 11610 12814 13410 15480 16092 17880 19221 20115 23220 25628 26820 32035 32184 38442 40230 46440 51256 53640 57663 64070 76884 80460 96105 115326 128140 153768 160920 172989 192210 230652 256280 288315 345978 384420 461304 576630 691956 768840 864945 1153260 1383912 1729890 2306520 3459780 6919560 21219829031887 42439658063774 63659487095661 84879316127548 106099145159435 127318974191322 169758632255096 190978461286983 212198290318870 254637948382644 318297435478305 381956922573966 424396580637740 509275896765288 572935383860949 636594870956610 763913845147932 848793161275480 912452648371141 954892306434915 1145870767721898 1273189741913220 1527827690295864 1824905296742282 1909784612869830 2291741535443796 2546379483826440 2737357945113423 2864676919304745 3161754525751163 3649810593484564 3819569225739660 4562263241855705 4583483070887592 5474715890226846 5729353838609490 6323509051502326 7299621186969128 7639138451479320 8212073835340269 9124526483711410 9485263577253489 10949431780453692 11458707677218980 12647018103004652 13686789725567115 15808772628755815 16424147670680538 18249052967422820 18970527154506978 21898863560907384 22917415354437960 24636221506020807 25294036206009304 27373579451134230 28455790731760467 31617545257511630 32848295341361076 36498105934845640 37941054309013956 41060369176701345 47426317886267445 49272443012041614 54747158902268460 56911581463520934 63235090515023260 65696590682722152 75882108618027912 82120738353402690 85367372195281401 94852635772534890 98544886024083228 109494317804536920 113823162927041868 123181107530104035 126470181030046520 135955444607300009 142278953658802335 164241476706805380 170734744390562802 189705271545069780 197089772048166456 227646325854083736 246362215060208070 271910889214600018 284557907317604670 328482953413610760 341469488781125604 379410543090139560 407866333821900027 426836860976407005 492724430120416140 543821778429200036 569115814635209340 679777223036500045 682938977562251208 815732667643800054 853673721952814010 985448860240832280 1087643556858400072 1138231629270418680 1223599001465700081 1359554446073000090 1631465335287600108 1707347443905628020 2039331669109500135 2447198002931400162 2719108892146000180 3262930670575200216 3414694887811256040 3670797004397100243 4078663338219000270 4894396005862800324 5438217784292000360 6117995007328500405 7341594008794200486 8157326676438000540 9788792011725600648 12235990014657000810 14683188017588400972 16314653352876001080 18353985021985501215 24471980029314001620 29366376035176801944 36707970043971002430 48943960058628003240 73415940087942004860 146831880175884009720
• Sum of all divisors σ(n): 504183137797658880000
• Sum of proper divisors (its aliquot sum) s(n): 357351257621774870280
• 146831880175884009720 is an abundant number, because the sum of its proper divisors (357351257621774870280) is greater than itself. Its abundance is 210519377445890860560

Bases of 146831880175884009720

• Binary: 1111111010110110011101000010001001001000010010010011000000011111000₂
• Hexadecimal: 0x7F5B3A112424980F8
• Base-36: UZK5HIOOW9U60

Squares and roots of 146831880175884009720

• 146831880175884009720 squared (146831880175884009720²) is 21559601035985159649186932075185054478400
• 146831880175884009720 cubed (146831880175884009720³) is 3165636755955637721562793597545069048174719284677635130048000
• The square root of 146831880175884009720 is 12117420524.8429011399
• The cube root of 146831880175884009720 is 5275619.3599133935

Scales and comparisons

• 146,831,880,175,884,009,720 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 146,831,880,175,884,009,720 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 146831880175884009720 cubic inches would be around 439634.9 feet tall.

Recreational maths with 146831880175884009720

• 146831880175884009720 backwards is 027900488571088138641
• 146831880175884009720 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 146831880175884009720's digits is 90
• More coming soon!