34135724922048

Names of 34135724922048

• Cardinal: 34135724922048 can be written as Thirty-four trillion, one hundred thirty-five billion, seven hundred twenty-four million, nine hundred twenty-two thousand and forty-eight.

Scientific notation

• Scientific notation: 3.4135724922048 × 10¹³

Factors of 34135724922048

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 13935

Divisors of 34135724922048

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 289 306 408 432 459 544 576 578 612 816 864 867 918 1088 1156 1224 1632 1728 1734 1836 2312 2448 2601 3264 3468 3672 4624 4896 4913 5202 6936 7344 7803 9248 9792 9826 10404 13872 13913 14688 14739 15606 18496 19652 20808 27744 27826 29376 29478 31212 39304 41616 41739 44217 55488 55652 58956 62424 78608 83232 83478 83521 88434 111304 117912 124848 125217 132651 157216 166464 166956 167042 176868 222608 235824 236521 249696 250434 250563 265302 314432 333912 334084 353736 375651 445216 471648 473042 499392 500868 501126 530604 667824 668168 707472 709563 751302 751689 890432 943296 946084 1001736 1002252 1061208 1335648 1336336 1414944 1419126 1419857 1502604 1503378 1892168 2003472 2004504 2122416 2128689 2255067 2671296 2672672 2829888 2838252 2839714 3005208 3006756 3784336 4006944 4009008 4020857 4244832 4257378 4259571 4510134 5345344 5676504 5679428 6010416 6013512 6386067 7568672 8013888 8018016 8041714 8489664 8514756 8519142 9020268 11353008 11358856 12020832 12027024 12062571 12772134 12778713 15137344 16036032 16083428 17029512 17038284 18040536 22706016 22717712 24041664 24054048 24125142 25544268 25557426 32166856 34059024 34076568 36081072 36187713 38336139 45412032 45435424 48108096 48250284 51088536 51114852 64333712 68118048 68153136 68354569 72162144 72375426 76672278 90870848 96500568 102177072 102229704 108563139 128667424 136236096 136306272 136709138 144324288 144750852 153344556 193001136 204354144 204459408 205063707 217126278 257334848 272612544 273418276 289501704 306689112 386002272 408708288 408918816 410127414 434252556 546836552 579003408 613378224 615191121 772004544 817837632 820254828 868505112 1093673104 1158006816 1162027673 1226756448 1230382242 1640509656 1737010224 1845573363 2187346208 2316013632 2324055346 2453512896 2460764484 3281019312 3474020448 3486083019 3691146726 4374692416 4648110692 4921528968 6562038624 6948040896 6972166038 7382293452 9296221384 9843057936 10458249057 13124077248 13944332076 14764586904 18592442768 19686115872 19754470441 20916498114 27888664152 29529173808 31374747171 37184885536 39372231744 39508940882 41832996228 55777328304 59058347616 59263411323 62749494342 74369771072 79017881764 83665992456 111554656608 118116695232 118526822646 125498988684 158035763528 167331984912 177790233969 223109313216 237053645292 250997977368 316071527056 334663969824 355580467938 474107290584 501995954736 533370701907 632143054112 669327939648 711160935876 948214581168 1003991909472 1066741403814 1264286108224 1422321871752 1896429162336 2007983818944 2133482807628 2844643743504 3792858324672 4266965615256 5689287487008 8533931230512 11378574974016 17067862461024 34135724922048
• Sum of all divisors σ(n): 106632413465760
• Sum of proper divisors (its aliquot sum) s(n): 72496688543712
• 34135724922048 is an abundant number, because the sum of its proper divisors (72496688543712) is greater than itself. Its abundance is 38360963621664

Bases of 34135724922048

• Binary: 111110000101111010111110000100001010011000000₂
• Hexadecimal: 0x1F0BD7C214C0
• Base-36: C3LQH9DC0

Squares and roots of 34135724922048

• 34135724922048 squared (34135724922048²) is 1165247715953728935676514304
• 34135724922048 cubed (34135724922048³) is 39776575497841213718771103246054756974592
• The square root of 34135724922048 is 5842578.6192440749
• The cube root of 34135724922048 is 32439.1682360757

Scales and comparisons

• 34,135,724,922,048 seconds is equal to 1,085,410 years, 24 weeks, 19 hours, 40 minutes, 48 seconds.
• To count from 1 to 34,135,724,922,048 would take you about two million, seven hundred thirteen thousand, five hundred twenty-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 34135724922048 cubic inches would be around 2703.3 feet tall.

Recreational maths with 34135724922048

• 34135724922048 backwards is 84022942753143
• 34135724922048 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34135724922048's digits is 54
• More coming soon!