138598339288535040

Names of 138598339288535040

• Cardinal: 138598339288535040 can be written as One hundred thirty-eight quadrillion, five hundred ninety-eight trillion, three hundred thirty-nine billion, two hundred eighty-eight million, five hundred thirty-five thousand and forty.

Scientific notation

• Scientific notation: 1.3859833928853504 × 10¹⁷

Factors of 138598339288535040

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3073402

Divisors of 138598339288535040

• Number of divisors d(n): 208
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 20480 30720 61440 1211731 1861661 2423462 3635193 3723322 4846924 5584983 6058655 7270386 7446644 9308305 9693848 11169966 12117310 14540772 14893288 18175965 18616610 19387696 22339932 24234620 27924915 29081544 29786576 36351930 37233220 38775392 44679864 48469240 55849830 58163088 59573152 72703860 74466440 77550784 89359728 96938480 111699660 116326176 119146304 145407720 148932880 155101568 178719456 193876960 223399320 232652352 238292608 290815440 297865760 310203136 357438912 387753920 446798640 465304704 476585216 581630880 595731520 620406272 714877824 775507840 893597280 930609408 953170432 1163261760 1191463040 1240812544 1429755648 1551015680 1787194560 1861218816 1906340864 2326523520 2382926080 2481625088 2859511296 3102031360 3574389120 3722437632 3812681728 4653047040 4765852160 4963250176 5719022592 6204062720 7148778240 7444875264 7625363456 9306094080 9531704320 11438045184 12408125440 14297556480 14889750528 18612188160 19063408640 22876090368 24816250880 28595112960 37224376320 38126817280 57190225920 74448752640 114380451840 2255832345191 4511664690382 6767497035573 9023329380764 11279161725955 13534994071146 18046658761528 22558323451910 27069988142292 33837485177865 36093317523056 45116646903820 54139976284584 67674970355730 72186635046112 90233293807640 108279952569168 135349940711460 144373270092224 180466587615280 216559905138336 270699881422920 288746540184448 360933175230560 433119810276672 541399762845840 577493080368896 721866350461120 866239620553344 1082799525691680 1154986160737792 1443732700922240 1732479241106688 2165599051383360 2309972321475584 2887465401844480 3464958482213376 4331198102766720 4619944642951168 5774930803688960 6929916964426752 8662396205533440 9239889285902336 11549861607377920 13859833928853504 17324792411066880 23099723214755840 27719667857707008 34649584822133760 46199446429511680 69299169644267520 138598339288535040
• Sum of all divisors σ(n): 443461149926917056
• Sum of proper divisors (its aliquot sum) s(n): 304862810638382016
• 138598339288535040 is an abundant number, because the sum of its proper divisors (304862810638382016) is greater than itself. Its abundance is 166264471349846976

Bases of 138598339288535040

• Binary: 111101100011001100111010010001011110000001001000000000000₂
• Hexadecimal: 0x1EC66748BC09000
• Base-36: 11WP0E2TBH1C

Squares and roots of 138598339288535040

• 138598339288535040 squared (138598339288535040²) is 19209499653539875657849589307801600
• 138598339288535040 cubed (138598339288535040³) is 2662404750544315987358599554426119066452506968064000
• The square root of 138598339288535040 is 372287978.9739859973
• The cube root of 138598339288535040 is 517510.7101501561

Scales and comparisons

• 138,598,339,288,535,040 seconds is equal to 4,406,998,476 years, 29 weeks, 2 days, 3 hours, 44 minutes.
• To count from 1 to 138,598,339,288,535,040 would take you about thirteen billion, two hundred twenty million, nine hundred ninety-five thousand, four hundred twenty-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 138598339288535040 cubic inches would be around 43125.9 feet tall.

Recreational maths with 138598339288535040

• 138598339288535040 backwards is 040535882933895831
• The number of decimal digits it has is: 18
• The sum of 138598339288535040's digits is 84
• More coming soon!