34808718264768

Names of 34808718264768

• Cardinal: 34808718264768 can be written as Thirty-four trillion, eight hundred eight billion, seven hundred eighteen million, two hundred sixty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.4808718264768 × 10¹³

Factors of 34808718264768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1623280

Divisors of 34808718264768

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 197 216 224 243 252 288 324 336 378 394 432 448 486 504 567 576 591 648 672 756 788 864 972 1008 1134 1182 1296 1344 1379 1512 1576 1701 1728 1773 1944 2016 2268 2364 2592 2758 3024 3152 3402 3546 3888 4032 4137 4536 4728 5184 5319 5516 6048 6304 6804 7092 7776 8274 9072 9456 10638 11032 12096 12411 12608 13608 14184 15552 15957 16548 18144 18912 21276 22064 24822 27216 28368 31914 33096 36288 37233 37824 42552 44128 47871 49644 54432 56736 63828 66192 74466 85104 88256 95742 99288 108864 111699 113472 127656 132384 148932 170208 191484 198576 223398 255312 264768 297864 335097 340416 382968 397152 446796 510624 595728 670194 765936 794304 893592 1021248 1191456 1340388 1531872 1623071 1787184 2382912 2680776 3063744 3246142 3574368 4869213 5361552 6492284 7148736 9738426 10723104 11361497 12984568 14607639 19476852 21446208 22722994 25969136 29215278 34084491 38953704 43822917 45445988 51938272 58430556 68168982 77907408 87645834 90891976 102253473 103876544 116861112 131468751 136337964 155814816 175291668 181783952 204506946 233722224 262937502 272675928 306760419 311629632 319744987 350583336 363567904 394406253 409013892 467444448 525875004 545351856 613520838 639489974 701166672 727135808 788812506 818027784 920281257 934888896 959234961 1051750008 1090703712 1227041676 1278979948 1402333344 1577625012 1636055568 1840562514 1918469922 2103500016 2181407424 2238214909 2454083352 2557959896 2760843771 2804666688 2877704883 3155250024 3272111136 3681125028 3836939844 4207000032 4476429818 4908166704 5115919792 5521687542 5755409766 6310500048 6544222272 6714644727 7362250056 7673879688 8414000064 8633114649 8952859636 9816333408 10231839584 11043375084 11510819532 12621000096 13429289454 14724500112 15347759376 17266229298 17905719272 19632666816 20143934181 20463679168 22086750168 23021639064 25242000192 25899343947 26858578908 29449000224 30695518752 34532458596 35811438544 40287868362 44173500336 46043278128 51798687894 53717157816 58898000448 60431802543 61391037504 69064917192 71622877088 77698031841 80575736724 88347000672 92086556256 103597375788 107434315632 120863605086 138129834384 143245754176 155396063682 161151473448 176694001344 181295407629 184173112512 207194751576 214868631264 241727210172 276259668768 310792127364 322302946896 362590815258 414389503152 429737262528 483454420344 543886222887 552519337536 621584254728 644605893792 725181630516 828779006304 966908840688 1087772445774 1243168509456 1289211787584 1450363261032 1657558012608 1933817681376 2175544891548 2486337018912 2900726522064 3867635362752 4351089783096 4972674037824 5801453044128 8702179566192 11602906088256 17404359132384 34808718264768
• Sum of all divisors σ(n): 118849693906944
• Sum of proper divisors (its aliquot sum) s(n): 84040975642176
• 34808718264768 is an abundant number, because the sum of its proper divisors (84040975642176) is greater than itself. Its abundance is 49232257377408

Bases of 34808718264768

• Binary: 111111010100010001001010010011000100111000000₂
• Hexadecimal: 0x1FA8894989C0
• Base-36: CC6WK4C00

Squares and roots of 34808718264768

• 34808718264768 squared (34808718264768²) is 1211646867235993364950093824
• 34808718264768 cubed (34808718264768³) is 42175874438006450234758391244264073592832
• The square root of 34808718264768 is 5899891.3773702647
• The cube root of 34808718264768 is 32650.9641912519

Scales and comparisons

• 34,808,718,264,768 seconds is equal to 1,106,809 years, 29 weeks, 4 days, 14 hours, 52 minutes, 48 seconds.
• To count from 1 to 34,808,718,264,768 would take you about two million, seven hundred sixty-seven thousand and twenty-three 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 34808718264768 cubic inches would be around 2720.9 feet tall.

Recreational maths with 34808718264768

• 34808718264768 backwards is 86746281780843
• 34808718264768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34808718264768's digits is 72
• More coming soon!