34359362978817312

Names of 34359362978817312

• Cardinal: 34359362978817312 can be written as Thirty-four quadrillion, three hundred fifty-nine trillion, three hundred sixty-two billion, nine hundred seventy-eight million, eight hundred seventeen thousand, three hundred twelve.

Scientific notation

• Scientific notation: 3.4359362978817312 × 10¹⁶

Factors of 34359362978817312

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 14988

Divisors of 34359362978817312

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 14983 17496 19683 23328 26244 29966 34992 39366 44949 52488 59049 59932 69984 78732 89898 104976 118098 119864 134847 157464 177147 179796 209952 236196 239728 269694 314928 354294 359592 404541 472392 479456 531441 539388 629856 708588 719184 809082 944784 1062882 1078776 1213623 1417176 1438368 1594323 1618164 1889568 2125764 2157552 2427246 2834352 3188646 3236328 3640869 4251528 4315104 4782969 4854492 5668704 6377292 6472656 7281738 8503056 9565938 9708984 10922607 12754584 12945312 14563476 17006112 19131876 19417968 21845214 25509168 29126952 32767821 38263752 38835936 43690428 51018336 58253904 65535642 76527504 87380856 98303463 116507808 131071284 153055008 174761712 196606926 224490289 262142568 294910389 349523424 393213852 448980578 524285136 589820778 673470867 786427704 884731167 897961156 1048570272 1179641556 1346941734 1572855408 1769462334 1795922312 2020412601 2359283112 2654193501 2693883468 3145710816 3538924668 3591844624 4040825202 4718566224 5308387002 5387766936 6061237803 7077849336 7183689248 7962580503 8081650404 9437132448 10616774004 10775533872 12122475606 14155698672 15925161006 16163300808 18183713409 21233548008 21551067744 23887741509 24244951212 28311397344 31850322012 32326601616 36367426818 42467096016 47775483018 48489902424 54551140227 63700644024 64653203232 71663224527 72734853636 84934192032 95550966036 96979804848 109102280454 127401288048 143326449054 145469707272 163653420681 191101932072 193959609696 218204560908 254802576096 286652898108 290939414544 327306841362 382203864144 436409121816 490960262043 573305796216 581878829088 654613682724 764407728288 872818243632 981920524086 1146611592432 1309227365448 1472880786129 1745636487264 1963841048172 2293223184864 2618454730896 2945761572258 3927682096344 4418642358387 5236909461792 5891523144516 7855364192688 8837284716774 11783046289032 13255927075161 15710728385376 17674569433548 23566092578064 26511854150322 35349138867096 39767781225483 47132185156128 53023708300644 70698277734192 79535562450966 106047416601288 119303343676449 141396555468384 159071124901932 212094833202576 238606687352898 318142249803864 357910031029347 424189666405152 477213374705796 636284499607728 715820062058694 954426749411592 1073730093088041 1272568999215456 1431640124117388 1908853498823184 2147460186176082 2863280248234776 3817706997646368 4294920372352164 5726560496469552 8589840744704328 11453120992939104 17179681489408656 34359362978817312
• Sum of all divisors σ(n): 101474259351612147
• Sum of proper divisors (its aliquot sum) s(n): 67114896372794835
• 34359362978817312 is an abundant number, because the sum of its proper divisors (67114896372794835) is greater than itself. Its abundance is 32755533393977523

Bases of 34359362978817312

• Binary: 1111010000100011010100010011001000011111010010100100000₂
• Hexadecimal: 0x7A11A8990FA520
• Base-36: 9EBDLG14I00

Squares and roots of 34359362978817312

• 34359362978817312 squared (34359362978817312²) is 1180565824310121667833218270905344
• 34359362978817312 cubed (34359362978817312³) is 40563489677858137439422847496518354467384620515328
• The square root of 34359362978817312 is 185362787.4704556551
• The cube root of 34359362978817312 is 325098.5515053915

Scales and comparisons

• 34,359,362,978,817,312 seconds is equal to 1,092,521,462 years, 12 weeks, 2 days, 19 hours, 55 minutes, 12 seconds.
• To count from 1 to 34,359,362,978,817,312 would take you about three billion, two hundred seventy-seven million, five hundred sixty-four thousand, three hundred eighty-six 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 34359362978817312 cubic inches would be around 27091.5 feet tall.

Recreational maths with 34359362978817312

• 34359362978817312 backwards is 21371887926395343
• 34359362978817312 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34359362978817312's digits is 81
• More coming soon!