221602589639397120
221,602,589,639,397,120 is an even composite number composed of six prime numbers multiplied together.
221602589639397120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 221602589639397120:
28 × 3 × 5 × 7 × 11 × 749467632709
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 749467632709)See below for interesting mathematical facts about the number 221602589639397120 from the Numbermatics database.
Names of 221602589639397120
- Cardinal: 221602589639397120 can be written as Two hundred twenty-one quadrillion, six hundred two trillion, five hundred eighty-nine billion, six hundred thirty-nine million, three hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.2160258963939712 × 1017
Factors of 221602589639397120
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 749467632737
Divisors of 221602589639397120
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 84 88 96 105 110 112 120 128 132 140 154 160 165 168 176 192 210 220 224 231 240 256 264 280 308 320 330 336 352 384 385 420 440 448 462 480 528 560 616 640 660 672 704 768 770 840 880 896 924 960 1056 1120 1155 1232 1280 1320 1344 1408 1540 1680 1760 1792 1848 1920 2112 2240 2310 2464 2640 2688 2816 3080 3360 3520 3696 3840 4224 4480 4620 4928 5280 5376 6160 6720 7040 7392 8448 8960 9240 9856 10560 12320 13440 14080 14784 18480 19712 21120 24640 26880 29568 36960 42240 49280 59136 73920 98560 147840 295680 749467632709 1498935265418 2248402898127 2997870530836 3747338163545 4496805796254 5246273428963 5995741061672 7494676327090 8244143959799 8993611592508 10492546857926 11242014490635 11991482123344 14989352654180 15738820286889 16488287919598 17987223185016 20985093715852 22484028981270 23982964246688 24732431879397 26231367144815 29978705308360 31477640573778 32976575839196 35974446370032 41220719798995 41970187431704 44968057962540 47965928493376 49464863758794 52462734289630 57709007718593 59957410616720 62955281147556 65953151678392 71948892740064 78694101434445 82441439597990 83940374863408 89936115925080 95931856986752 98929727517588 104925468579260 115418015437186 119914821233440 123662159396985 125910562295112 131906303356784 143897785480128 157388202868890 164882879195980 167880749726816 173127023155779 179872231850160 191863713973504 197859455035176 209850937158520 230836030874372 239829642466880 247324318793970 251821124590224 263812606713568 287795570960256 288545038592965 314776405737780 329765758391960 335761499453632 346254046311558 359744463700320 395718910070352 419701874317040 461672061748744 479659284933760 494648637587940 503642249180448 527625213427136 575591141920512 577090077185930 629552811475560 659531516783920 671522998907264 692508092623116 719488927400640 791437820140704 839403748634080 865635115778895 923344123497488 959318569867520 989297275175880 1007284498360896 1055250426854272 1154180154371860 1259105622951120 1319063033567840 1343045997814528 1385016185246232 1438977854801280 1582875640281408 1678807497268160 1731270231557790 1846688246994976 1978594550351760 2014568996721792 2110500853708544 2308360308743720 2518211245902240 2638126067135680 2770032370492464 2877955709602560 3165751280562816 3357614994536320 3462540463115580 3693376493989952 3957189100703520 4029137993443584 4616720617487440 5036422491804480 5276252134271360 5540064740984928 6331502561125632 6715229989072640 6925080926231160 7386752987979904 7914378201407040 9233441234974880 10072844983608960 10552504268542720 11080129481969856 13850161852462320 14773505975959808 15828756402814080 18466882469949760 20145689967217920 22160258963939712 27700323704924640 31657512805628160 36933764939899520 44320517927879424 55400647409849280 73867529879799040 110801294819698560 221602589639397120
- Sum of all divisors σ(n): 882381220565322240
- Sum of proper divisors (its aliquot sum) s(n): 660778630925925120
- 221602589639397120 is an abundant number, because the sum of its proper divisors (660778630925925120) is greater than itself. Its abundance is 439176041286528000
Bases of 221602589639397120
- Binary: 11000100110100101001100001100101001100001101001111000000002
- Hexadecimal: 0x3134A6194C34F00
- Base-36: 1OLZK89XZITC
Squares and roots of 221602589639397120
- 221602589639397120 squared (2216025896393971202) is 49107707734887035791116037064294400
- 221602589639397120 cubed (2216025896393971203) is 10882395205305619649335471223044114182924694192128000
-
The
square root of 221602589639397120 is 470746842.4104373321 -
The
cube root of 221602589639397120 is 605143.3666470401
Scales and comparisons
How big is 221602589639397120?- 221,602,589,639,397,120 seconds is equal to 7,046,276,888 years, 37 weeks, 2 days, 32 minutes.
-
To count from 1 to 221,602,589,639,397,120 would take you about twenty-one billion, one hundred thirty-eight million, eight hundred thirty thousand, six hundred sixty-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 221602589639397120 cubic inches would be around 50428.6 feet tall.
Recreational maths with 221602589639397120
- 221602589639397120 backwards is 021793936985206122
- The number of decimal digits it has is: 18
- The sum of 221602589639397120's digits is 75
- More coming soon!
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