138152758741905628900

Names of 138152758741905628900

• Cardinal: 138152758741905628900 can be written as One hundred thirty-eight quintillion, one hundred fifty-two quadrillion, seven hundred fifty-eight trillion, seven hundred forty-one billion, nine hundred five million, six hundred twenty-eight thousand, nine hundred.

Scientific notation

• Scientific notation: 1.381527587419056289 × 10²⁰

Factors of 138152758741905628900

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 163

Divisors of 138152758741905628900

• Number of divisors d(n): 243
• Complete list of divisors:
  1 2 4 5 10 20 25 50 59 97 100 118 194 236 295 388 485 590 970 1180 1475 1940 2425 2950 3481 4850 5723 5900 6962 9409 9700 11446 13924 17405 18818 22892 28615 34810 37636 47045 57230 69620 87025 94090 114460 143075 174050 188180 205379 235225 286150 337657 348100 410758 470450 555131 572300 675314 821516 940900 1026895 1110262 1350628 1688285 2053790 2220524 2775655 3376570 4107580 5134475 5551310 6753140 8441425 10268950 11102620 12117361 13878275 16882850 19921763 20537900 24234722 27756550 32752729 33765700 39843526 48469444 55513100 60586805 65505458 79687052 99608815 121173610 131010916 163763645 199217630 242347220 302934025 327527290 398435260 498044075 605868050 655054580 714924299 818818225 996088150 1175384017 1211736100 1429848598 1637636450 1932411011 1992176300 2350768034 2859697196 3275272900 3574621495 3864822022 4701536068 5876920085 7149242990 7729644044 9662055055 11753840170 14298485980 17873107475 19324110110 23507680340 29384600425 35746214950 38648220220 42180533641 48310275275 58769200850 69347657003 71492429900 84361067282 96620550550 114012249649 117538401700 138695314006 168722134564 193241101100 210902668205 228024499298 277390628012 346738285015 421805336410 456048998596 570061248245 693476570030 843610672820 1054513341025 1140122496490 1386953140060 1733691425075 2109026682050 2280244992980 2488651484819 2850306241225 3467382850150 4091511763177 4218053364100 4977302969638 5700612482450 6726722729291 6934765700300 8183023526354 9954605939276 11401224964900 12443257424095 13453445458582 16366047052708 20457558815885 24886514848190 26906890917164 33633613646455 40915117631770 49773029696380 62216287120475 67267227292910 81830235263540 102287794079425 124432574240950 134534454585820 146830437604321 168168068232275 204575588158850 241399194027443 248865148481900 293660875208642 336336136464550 396876641028169 409151176317700 482798388054886 587321750417284 672672272929100 734152188021605 793753282056338 965596776109772 1206995970137215 1468304376043210 1587506564112676 1984383205140845 2413991940274430 2936608752086420 3670760940108025 3968766410281690 4827983880548860 6034979850686075 7341521880216050 7937532820563380 9921916025704225 12069959701372150 14242552447619137 14683043760432100 19843832051408450 23415721820661971 24139919402744300 28485104895238274 39687664102816900 46831443641323942 56970209790476548 71212762238095685 93662887282647884 117078609103309855 142425524476191370 234157218206619710 284851048952382740 356063811190478425 468314436413239420 585393045516549275 712127622380956850 1170786091033098550 1381527587419056289 1424255244761913700 2341572182066197100 2763055174838112578 5526110349676225156 6907637937095281445 13815275874190562890 27630551748381125780 34538189685476407225 69076379370952814450 138152758741905628900
• Sum of all divisors σ(n): 308136637427684336859
• Sum of proper divisors (its aliquot sum) s(n): 169983878685778707959
• 138152758741905628900 is an abundant number, because the sum of its proper divisors (169983878685778707959) is greater than itself. Its abundance is 31831119943873079059

Bases of 138152758741905628900

• Binary: 1110111110101000001001100100001110001101111100001101101111011100100₂
• Hexadecimal: 0x77D41321C6F86DEE4
• Base-36: T5MBDQOXGC6AS

Squares and roots of 138152758741905628900

• 138152758741905628900 squared (138152758741905628900²) is 19086184747999182166942974593504515210000
• 138152758741905628900 cubed (138152758741905628900³) is 2636809076793769896873509631068070017945138391864665569000000
• 138152758741905628900 is a perfect square number. Its square root is 11753840170
• The cube root of 138152758741905628900 is 5169555.3212073589

Scales and comparisons

• 138,152,758,741,905,628,900 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,152,758,741,905,628,900 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 138152758741905628900 cubic inches would be around 430796.3 feet tall.

Recreational maths with 138152758741905628900

• 138152758741905628900 backwards is 009826509147857251831
• The number of decimal digits it has is: 21
• The sum of 138152758741905628900's digits is 91
• More coming soon!