34456165536262144

Names of 34456165536262144

• Cardinal: 34456165536262144 can be written as Thirty-four quadrillion, four hundred fifty-six trillion, one hundred sixty-five billion, five hundred thirty-six million, two hundred sixty-two thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.4456165536262144 × 10¹⁶

Factors of 34456165536262144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 493

Divisors of 34456165536262144

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 361 368 437 449 512 529 608 722 736 874 898 1024 1058 1216 1444 1472 1748 1796 2048 2116 2432 2888 2944 3496 3592 4232 4864 5776 5888 6859 6992 7184 8303 8464 8531 9728 10051 10327 11552 11776 12167 13718 13984 14368 16606 16928 17062 19456 20102 20654 23104 23552 24334 27436 27968 28736 33212 33856 34124 38912 40204 41308 46208 47104 48668 54872 55936 57472 66424 67712 68248 80408 82616 92416 97336 109744 111872 114944 132848 135424 136496 157757 160816 162089 165232 184832 190969 194672 196213 201601 219488 223744 229888 231173 237521 265696 270848 272992 315514 321632 324178 330464 369664 381938 389344 392426 403202 438976 447488 459776 462346 475042 531392 541696 545984 631028 643264 648356 660928 739328 763876 778688 784852 806404 877952 894976 919552 924692 950084 1062784 1083392 1091968 1262056 1286528 1296712 1321856 1527752 1557376 1569704 1612808 1755904 1849384 1900168 2125568 2183936 2524112 2573056 2593424 2643712 3055504 3079691 3114752 3139408 3225616 3511808 3628411 3698768 3728047 3800336 3830419 4251136 4367872 4392287 4512899 4636823 5048224 5146112 5186848 5287424 5462983 6111008 6159382 6229504 6278816 6451232 7023616 7256822 7397536 7456094 7600672 7660838 8502272 8735744 8784574 9025798 9273646 10096448 10292224 10373696 10574848 10925966 12222016 12318764 12459008 12557632 12902464 14047232 14513644 14795072 14912188 15201344 15321676 17004544 17471488 17569148 18051596 18547292 20192896 20584448 20747392 21149696 21851932 24444032 24637528 24918016 25115264 25804928 29027288 29590144 29824376 30402688 30643352 35138296 36103192 37094584 40385792 41494784 43703864 48888064 49275056 50230528 51609856 58054576 59180288 59648752 60805376 61286704 70276592 70832893 72206384 72777961 74189168 80771584 82989568 83453453 85745081 87407728 88099637 97776128 98550112 100461056 103219712 103796677 106646929 116109152 118360576 119297504 121610752 122573408 140553184 141665786 144412768 145555922 148378336 161543168 165979136 166906906 171490162 174815456 176199274 195552256 197100224 200922112 206439424 207593354 213293858 232218304 236721152 238595008 243221504 245146816 281106368 283331572 288825536 291111844 296756672 323086336 331958272 333813812 342980324 349630912 352398548 391104512 394200448 401844224 412878848 415186708 426587716 464436608 473442304 477190016 486443008 490293632 562212736 566663144 577651072 582223688 593513344 667627624 685960648 699261824 704797096 788400896 830373416 853175432 928873216 954380032 980587264 1124425472 1133326288 1155302144 1164447376 1187026688 1335255248 1371921296 1382781259 1398523648 1409594192 1576801792 1629156539 1660746832 1673893103 1706350864 1857746432 1908760064 1961174528 1972136863 2026291651 2248850944 2266652576 2310604288 2328894752 2374053376 2452879367 2670510496 2743842592 2765562518 2797047296 2819188384 3153603584 3258313078 3321493664 3347786206 3412701728 3715492864 3817520128 3922349056 3944273726 4052583302 4497701888 4533305152 4621208576 4657789504 4748106752 4905758734 5341020992 5487685184 5531125036 5594094592 5638376768 6307207168 6516626156 6642987328 6695572412 6825403456 7430985728 7635040256 7844698112 7888547452 8105166604 8995403776 9066610304 9242417152 9315579008 9496213504 9811517468 10682041984 10975370368 11062250072 11188189184 11276753536 13033252312 13285974656 13391144824 13650806912 15777094904 16210333208 18133220608 18631158016 19623034936 21364083968 21950740736 22124500144 22553507072 26066504624 26571949312 26782289648 27301613824 31554189808 31803968957 32420666416 36266441216 37262316032 37470600397 38499541369 39246069872 42728167936 43901481472 44249000288 45107014144 46604707973 52133009248 53143898624 53564579296 54603227648 63108379616 63607937914 64841332832 72532882432 74524632064 74941200794 76999082738 78492139744 85456335872 87802962944 88498000576 90214028288 93209415946 104266018496 106287797248 107129158592 109206455296 126216759232 127215875828 129682665664 145065764864 149049264128 149882401588 153998165476 156984279488 170912671744 175605925888 176996001152 180428056576 186418831892 208532036992 212575594496 214258317184 218412910592 252433518464 254431751656 259365331328 299764803176 307996330952 313968558976 353992002304 372837663784 417064073984 428516634368 504867036928 508863503312 518730662656 599529606352 615992661904 627937117952 707984004608 731491286011 745675327568 834128147968 857033268736 885489451487 1009734073856 1017727006624 1037461325312 1199059212704 1231985323808 1255874235904 1415968009216 1462982572022 1491350655136 1668256295936 1714066537472 1770978902974 2019468147712 2035454013248 2074922650624 2398118425408 2463970647616 2511748471808 2831936018432 2925965144044 2982701310272 3336512591872 3428133074944 3541957805948 4038936295424 4070908026496 4149845301248 4796236850816 4927941295232 5023496943616 5851930288088 5965402620544 7083915611896 8141816052992 9592473701632 9855882590464 11703860576176 11930805241088 14167831223792 16283632105984 16824299578253 19184947403264 19711765180928 23407721152352 23861610482176 28335662447584 32567264211968 33648599156506 38369894806528 39423530361856 46815442304704 47723220964352 56671324895168 65134528423936 67297198313012 76739789613056 78847060723712 93630884609408 95446441928704 113342649790336 134594396626024 187261769218816 226685299580672 269188793252048 374523538437632 453370599161344 538377586504096 749047076875264 906741198322688 1076755173008192 1498094153750528 1813482396645376 2153510346016384 4307020692032768 8614041384065536 17228082768131072 34456165536262144
• Sum of all divisors σ(n): 76197476352816000
• Sum of proper divisors (its aliquot sum) s(n): 41741310816553856
• 34456165536262144 is an abundant number, because the sum of its proper divisors (41741310816553856) is greater than itself. Its abundance is 7285145280291712

Bases of 34456165536262144

• Binary: 1111010011010011011001100110011000111000110100000000000₂
• Hexadecimal: 0x7A69B3331C6800
• Base-36: 9F9OVXCGJR4

Squares and roots of 34456165536262144

• 34456165536262144 squared (34456165536262144²) is 1187227343462299121412607087476736
• 34456165536262144 cubed (34456165536262144³) is 40907301875513730427264732904308834637309997481984
• The square root of 34456165536262144 is 185623720.2952848481
• The cube root of 34456165536262144 is 325403.5713528729

Scales and comparisons

• 34,456,165,536,262,144 seconds is equal to 1,095,599,484 years, 7 weeks, 6 hours, 9 minutes, 4 seconds.
• To count from 1 to 34,456,165,536,262,144 would take you about three billion, two hundred eighty-six million, seven hundred ninety-eight thousand, four hundred fifty-two 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 34456165536262144 cubic inches would be around 27117 feet tall.

Recreational maths with 34456165536262144

• 34456165536262144 backwards is 44126263556165443
• The number of decimal digits it has is: 17
• The sum of 34456165536262144's digits is 67
• More coming soon!