34354009649240000

Names of 34354009649240000

• Cardinal: 34354009649240000 can be written as Thirty-four quadrillion, three hundred fifty-four trillion, nine billion, six hundred forty-nine million, two hundred forty thousand.

Scientific notation

• Scientific notation: 3.435400964924 × 10¹⁶

Factors of 34354009649240000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4644

Divisors of 34354009649240000

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 137 160 200 250 274 320 367 400 500 548 625 685 734 800 1000 1096 1250 1370 1468 1600 1835 2000 2192 2500 2740 2936 3425 3670 4000 4133 4384 5000 5480 5872 6850 7340 8000 8266 8768 9175 10000 10960 11744 13700 14680 16532 17125 18350 20000 20665 21920 23488 27400 29360 33064 34250 36700 40000 41330 43840 45875 50279 54800 58720 66128 68500 73400 82660 85625 91750 100558 103325 109600 117440 132256 137000 146800 165320 171250 183500 201116 206650 219200 229375 251395 264512 274000 293600 330640 342500 367000 402232 413300 458750 502790 516625 548000 566221 587200 661280 685000 734000 804464 826600 917500 1005580 1033250 1096000 1132442 1256975 1322560 1370000 1468000 1516811 1608928 1653200 1835000 2011160 2066500 2264884 2513950 2583125 2740000 2831105 2936000 3033622 3217856 3306400 3670000 4022320 4133000 4529768 5027900 5166250 5480000 5662210 6067244 6284875 6612800 7340000 7584055 8044640 8266000 9059536 10055800 10332500 11324420 12134488 12569750 14155525 14680000 15168110 16089280 16532000 17081689 18119072 20111600 20665000 22648840 24268976 25139500 28311050 30336220 31424375 33064000 34163378 36238144 37920275 40223200 41330000 45297680 48537952 50279000 56622100 60672440 62848750 68326756 70777625 75840550 80446400 82660000 85408445 90595360 97075904 100558000 113244200 121344880 125697500 136653512 141555250 151681100 165320000 170816890 181190720 189601375 201116000 207803107 226488400 242689760 251395000 273307024 283110500 303362200 341633780 353888125 379202750 402232000 415606214 427042225 452976800 485379520 502790000 546614048 566221000 606724400 683267560 707776250 758405500 831212428 854084450 905953600 948006875 1005580000 1039015535 1093228096 1132442000 1213448800 1366535120 1415552500 1516811000 1662424856 1708168900 1896013750 2011160000 2078031070 2135211125 2264884000 2340191393 2426897600 2733070240 2831105000 3033622000 3324849712 3416337800 3792027500 4156062140 4270422250 4529768000 4680382786 5195077675 5466140480 5662210000 6067244000 6268979863 6649699424 6832675600 7584055000 8312124280 8540844500 9360765572 10390155350 10676055625 11324420000 11700956965 12134488000 12537959726 13299398848 13665351200 15168110000 16624248560 17081689000 18721531144 20780310700 21352111250 22648840000 23401913930 25075919452 25975388375 27330702400 30336220000 31344899315 33248497120 34163378000 37443062288 41560621400 42704222500 46803827860 50151838904 51950776750 58504784825 60672440000 62689798630 66496994240 68326756000 74886124576 83121242800 85408445000 93607655720 100303677808 103901553500 117009569650 125379597260 129876941875 136653512000 149772249152 156724496575 166242485600 170816890000 187215311440 200607355616 207803107000 234019139300 250759194520 259753883750 292523924125 313448993150 332484971200 341633780000 374430622880 401214711232 415606214000 468038278600 501518389040 519507767500 585047848250 626897986300 683267560000 748861245760 783622482875 831212428000 858850241231 936076557200 1003036778080 1039015535000 1170095696500 1253795972600 1462619620625 1567244965750 1662424856000 1717700482462 1872153114400 2006073556160 2078031070000 2340191393000 2507591945200 2925239241250 3134489931500 3435400964924 3744306228800 3918112414375 4156062140000 4294251206155 4680382786000 5015183890400 5850478482500 6268979863000 6870801929848 7836224828750 8312124280000 8588502412310 9360765572000 10030367780800 11700956965000 12537959726000 13741603859696 15672449657500 17177004824620 18721531144000 21471256030775 23401913930000 25075919452000 27483207719392 31344899315000 34354009649240 42942512061550 46803827860000 50151838904000 54966415438784 62689798630000 68708019298480 85885024123100 93607655720000 107356280153875 125379597260000 137416038596960 171770048246200 214712560307750 250759194520000 274832077193920 343540096492400 429425120615500 536781400769375 687080192984800 858850241231000 1073562801538750 1374160385969600 1717700482462000 2147125603077500 3435400964924000 4294251206155000 6870801929848000 8588502412310000 17177004824620000 34354009649240000
• Sum of all divisors σ(n): 86063214451356384
• Sum of proper divisors (its aliquot sum) s(n): 51709204802116384
• 34354009649240000 is an abundant number, because the sum of its proper divisors (51709204802116384) is greater than itself. Its abundance is 17355195152876384

Bases of 34354009649240000

• Binary: 1111010000011001100101000101101110000001101011111000000₂
• Hexadecimal: 0x7A0CCA2DC0D7C0
• Base-36: 9E9HA5QWVY8

Squares and roots of 34354009649240000

• 34354009649240000 squared (34354009649240000²) is 1180197978980075027832577600000000
• 34354009649240000 cubed (34354009649240000³) is 40544532757895044199859532433621081024000000000000
• The square root of 34354009649240000 is 185348346.7669458335
• The cube root of 34354009649240000 is 325081.6667328647

Scales and comparisons

• 34,354,009,649,240,000 seconds is equal to 1,092,351,242 years, 47 weeks, 4 days, 18 hours, 13 minutes, 20 seconds.
• To count from 1 to 34,354,009,649,240,000 would take you about three billion, two hundred seventy-seven million, fifty-three thousand, seven hundred twenty-eight 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 34354009649240000 cubic inches would be around 27090.1 feet tall.

Recreational maths with 34354009649240000

• 34354009649240000 backwards is 00004294690045343
• The number of decimal digits it has is: 17
• The sum of 34354009649240000's digits is 53
• More coming soon!