34809823564740432

Names of 34809823564740432

• Cardinal: 34809823564740432 can be written as Thirty-four quadrillion, eight hundred nine trillion, eight hundred twenty-three billion, five hundred sixty-four million, seven hundred forty thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 3.4809823564740432 × 10¹⁶

Factors of 34809823564740432

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 110587

Divisors of 34809823564740432

• Number of divisors d(n): 300
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 432 468 507 624 648 676 702 936 1014 1053 1296 1352 1404 1521 1872 2028 2106 2197 2704 2808 3042 4056 4212 4394 4563 5616 6084 6591 8112 8424 8788 9126 12168 13182 13689 16848 17576 18252 19773 24336 26364 27378 35152 36504 39546 52728 54756 59319 73008 79092 105456 109512 110569 118638 158184 177957 219024 221138 237276 316368 331707 355914 442276 474552 663414 711828 884552 949104 995121 1326828 1423656 1437397 1769104 1990242 2653656 2847312 2874794 2985363 3980484 4312191 5307312 5749588 5970726 7960968 8624382 8956089 11499176 11941452 12936573 15921936 17248764 17912178 18686161 22998352 23882904 25873146 34497528 35824356 37372322 38809719 47765808 51746292 56058483 68995056 71648712 74744644 77619438 103492584 112116966 116429157 143297424 149489288 155238876 168175449 206985168 224233932 232858314 242920093 298978576 310477752 336350898 448467864 465716628 485840186 504526347 620955504 672701796 728760279 896935728 931433256 971680372 1009052694 1345403592 1457520558 1513579041 1862866512 1943360744 2018105388 2186280837 2690807184 2915041116 3027158082 3886721488 4036210776 4372561674 5830082232 6054316164 6558842511 8072421552 8745123348 11660164464 12108632328 12225503761 13117685022 17490246696 19676527533 24217264656 24451007522 26235370044 34980493392 36676511283 39353055066 48902015044 52470740088 73353022566 78706110132 97804030088 104941480176 110029533849 146706045132 157412220264 158931548893 195608060176 220059067698 293412090264 314824440528 317863097786 330088601547 440118135396 476794646679 586824180528 635726195572 660177203094 880236270792 953589293358 990265804641 1271452391144 1320354406188 1430383940037 1760472541584 1907178586716 1980531609282 2066110135609 2542904782288 2640708812376 2860767880074 3814357173432 3961063218564 4132220271218 4291151820111 5281417624752 5721535760148 6198330406827 7628714346864 7922126437128 8264440542436 8582303640222 11443071520296 12396660813654 12873455460333 15844252874256 16528881084872 17164607280444 18594991220481 22886143040592 24793321627308 25746910920666 26859431762917 33057762169744 34329214560888 37189982440962 49586643254616 51493821841332 53718863525834 55784973661443 68658429121776 74379964881924 80578295288751 99173286509232 102987643682664 107437727051668 111569947322886 148759929763848 161156590577502 167354920984329 205975287365328 214875454103336 223139894645772 241734885866253 297519859527696 322313181155004 334709841968658 429750908206672 446279789291544 483469771732506 644626362310008 669419683937316 725204657598759 892559578583088 966939543465012 1289252724620016 1338839367874632 1450409315197518 1933879086930024 2175613972796277 2677678735749264 2900818630395036 3867758173860048 4351227945592554 5801637260790072 8702455891185108 11603274521580144 17404911782370216 34809823564740432
• Sum of all divisors σ(n): 109142704866282780
• Sum of proper divisors (its aliquot sum) s(n): 74332881301542348
• 34809823564740432 is an abundant number, because the sum of its proper divisors (74332881301542348) is greater than itself. Its abundance is 39523057736801916

Bases of 34809823564740432

• Binary: 1111011101010110101100110100000010001010011011101010000₂
• Hexadecimal: 0x7BAB59A0453750
• Base-36: 9IR1W6JFP00

Squares and roots of 34809823564740432

• 34809823564740432 squared (34809823564740432²) is 1211723816608358276658827535546624
• 34809823564740432 cubed (34809823564740432³) is 42179892265330843587171845870985968725647793901568
• The square root of 34809823564740432 is 186573909.1211320255
• The cube root of 34809823564740432 is 326513.0978214253

Scales and comparisons

• 34,809,823,564,740,432 seconds is equal to 1,106,844,715 years, 26 weeks, 1 day, 18 hours, 7 minutes, 12 seconds.
• To count from 1 to 34,809,823,564,740,432 would take you about three billion, three hundred twenty million, five hundred thirty-four thousand, one hundred forty-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 34809823564740432 cubic inches would be around 27209.4 feet tall.

Recreational maths with 34809823564740432

• 34809823564740432 backwards is 23404746532890843
• 34809823564740432 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34809823564740432's digits is 72
• More coming soon!