135158405824512

Names of 135158405824512

• Cardinal: 135158405824512 can be written as One hundred thirty-five trillion, one hundred fifty-eight billion, four hundred five million, eight hundred twenty-four thousand, five hundred twelve.

Scientific notation

• Scientific notation: 1.35158405824512 × 10¹⁴

Factors of 135158405824512

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 30996

Divisors of 135158405824512

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2281 2304 2688 3072 3584 4032 4096 4562 4608 5376 6144 6843 7168 8064 8192 9124 9216 10752 12288 13686 14336 15967 16128 16384 18248 18432 20529 21504 24576 27372 28672 28703 31934 32256 32768 36496 36864 41058 43008 47901 49152 54744 57344 57406 63868 64512 72992 73728 82116 86016 86109 95802 98304 109488 114688 114812 127736 129024 143703 145984 147456 164232 172032 172218 191604 200921 218976 229376 229624 255472 258048 258327 287406 291968 294912 328464 344064 344436 383208 401842 437952 459248 510944 516096 516654 574812 583936 602763 656928 688128 688872 766416 803684 875904 918496 1021888 1032192 1033308 1149624 1167872 1205526 1313856 1377744 1532832 1607368 1751808 1808289 1836992 2043776 2064384 2066616 2299248 2335744 2411052 2627712 2755488 3065664 3214736 3503616 3616578 3673984 4087552 4133232 4598496 4671488 4822104 5255424 5510976 6131328 6429472 7007232 7233156 7347968 8175104 8266464 9196992 9342976 9644208 10510848 11021952 12262656 12858944 14014464 14466312 14695936 16350208 16532928 18393984 18685952 19288416 21021696 22043904 24525312 25717888 28028928 28932624 29391872 32700416 33065856 36787968 37371904 38576832 42043392 44087808 49050624 51435776 56057856 57865248 58783744 65400832 65471543 66131712 73575936 74743808 77153664 84086784 88175616 98101248 102871552 112115712 115730496 117567488 130801664 130943086 132263424 147151872 154307328 168173568 176351232 196202496 196414629 205743104 224231424 231460992 235134976 261603328 261886172 264526848 294303744 308614656 336347136 352702464 392404992 392829258 411486208 458300801 462921984 470269952 523206656 523772344 529053696 588607488 589243887 617229312 672694272 705404928 784809984 785658516 822972416 916601602 925843968 940539904 1047544688 1058107392 1177214976 1178487774 1234458624 1374902403 1410809856 1569619968 1571317032 1645944832 1833203204 1851687936 2095089376 2116214784 2354429952 2356975548 2468917248 2749804806 2821619712 3142634064 3291889664 3666406408 3703375872 4124707209 4190178752 4232429568 4708859904 4713951096 4937834496 5499609612 6285268128 6583779328 7332812816 7406751744 8249414418 8380357504 8464859136 9427902192 9875668992 10999219224 12570536256 14665625632 14813503488 16498828836 16760715008 18855804384 19751337984 21998438448 25141072512 29331251264 29627006976 32997657672 33521430016 37711608768 43996876896 50282145024 58662502528 59254013952 65995315344 67042860032 75423217536 87993753792 100564290048 117325005056 131990630688 134085720064 150846435072 175987507584 201128580096 234650010112 263981261376 268171440128 301692870144 351975015168 402257160192 469300020224 527962522752 536342880256 603385740288 703950030336 804514320384 938600040448 1055925045504 1072685760512 1206771480576 1407900060672 1609028640768 1877200080896 2111850091008 2145371521024 2413542961152 2815800121344 3218057281536 3754400161792 4223700182016 4827085922304 5631600242688 6436114563072 7508800323584 8447400364032 9654171844608 11263200485376 15017600647168 16894800728064 19308343689216 22526400970752 33789601456128 45052801941504 67579202912256 135158405824512
• Sum of all divisors σ(n): 446441649937920
• Sum of proper divisors (its aliquot sum) s(n): 311283244113408
• 135158405824512 is an abundant number, because the sum of its proper divisors (311283244113408) is greater than itself. Its abundance is 176124838288896

Bases of 135158405824512

• Binary: 11110101110110100000100110001001000000000000000₂
• Hexadecimal: 0x7AED04C48000
• Base-36: 1BWQWX5340

Squares and roots of 135158405824512

• 135158405824512 squared (135158405824512²) is 18267794665023479326540038144
• 135158405824512 cubed (135158405824512³) is 2469046004854098668173464710666380250185728
• The square root of 135158405824512 is 11625764.7414917185
• The cube root of 135158405824512 is 51319.3350132281

Scales and comparisons

• 135,158,405,824,512 seconds is equal to 4,297,619 years, 12 weeks, 17 hours, 55 minutes, 12 seconds.
• To count from 1 to 135,158,405,824,512 would take you about ten million, seven hundred forty-four thousand and forty-eight 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 135158405824512 cubic inches would be around 4276.6 feet tall.

Recreational maths with 135158405824512

• 135158405824512 backwards is 215428504851531
• The number of decimal digits it has is: 15
• The sum of 135158405824512's digits is 54
• More coming soon!