420304493307834720
420,304,493,307,834,720 is an even composite number composed of five prime numbers multiplied together.
420304493307834720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 420304493307834720:
25 × 34 × 5 × 13 × 2494684789339
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 2494684789339)See below for interesting mathematical facts about the number 420304493307834720 from the Numbermatics database.
Names of 420304493307834720
- Cardinal: 420304493307834720 can be written as Four hundred twenty quadrillion, three hundred four trillion, four hundred ninety-three billion, three hundred seven million, eight hundred thirty-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.2030449330783472 × 1017
Factors of 420304493307834720
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 2494684789362
Divisors of 420304493307834720
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 65 72 78 80 81 90 96 104 108 117 120 130 135 144 156 160 162 180 195 208 216 234 240 260 270 288 312 324 351 360 390 405 416 432 468 480 520 540 585 624 648 702 720 780 810 864 936 1040 1053 1080 1170 1248 1296 1404 1440 1560 1620 1755 1872 2080 2106 2160 2340 2592 2808 3120 3240 3510 3744 4212 4320 4680 5265 5616 6240 6480 7020 8424 9360 10530 11232 12960 14040 16848 18720 21060 28080 33696 42120 56160 84240 168480 2494684789339 4989369578678 7484054368017 9978739157356 12473423946695 14968108736034 19957478314712 22452163104051 24946847893390 29936217472068 32430902261407 37420271840085 39914956629424 44904326208102 49893695786780 59872434944136 64861804522814 67356489312153 74840543680170 79829913258848 89808652416204 97292706784221 99787391573560 112260815520255 119744869888272 129723609045628 134712978624306 149681087360340 162154511307035 179617304832408 194585413568442 199574783147120 202069467936459 224521631040510 239489739776544 259447218091256 269425957248612 291878120352663 299362174720680 324309022614070 336782446560765 359234609664816 389170827136884 399149566294240 404138935872918 449043262081020 486463533921105 518894436182512 538851914497224 583756240705326 598724349441360 648618045228140 673564893121530 718469219329632 778341654273768 808277871745836 875634361057989 898086524162040 972927067842210 1010347339682295 1037788872365024 1077703828994448 1167512481410652 1197448698882720 1297236090456280 1347129786243060 1459390601763315 1556683308547536 1616555743491672 1751268722115978 1796173048324080 1945854135684420 2020694679364590 2155407657988896 2335024962821304 2594472180912560 2626903083173967 2694259572486120 2918781203526630 3113366617095072 3233111486983344 3502537444231956 3592346096648160 3891708271368840 4041389358729180 4378171805289945 4670049925642608 5188944361825120 5253806166347934 5388519144972240 5837562407053260 6466222973966688 7005074888463912 7783416542737680 8082778717458360 8756343610579890 9340099851285216 10507612332695868 10777038289944480 11675124814106520 13134515415869835 14010149776927824 15566833085475360 16165557434916720 17512687221159780 21015224665391736 23350249628213040 26269030831739670 28020299553855648 32331114869833440 35025374442319560 42030449330783472 46700499256426080 52538061663479340 70050748884639120 84060898661566944 105076123326958680 140101497769278240 210152246653917360 420304493307834720
- Sum of all divisors σ(n): 1597426500527660880
- Sum of proper divisors (its aliquot sum) s(n): 1177122007219826160
- 420304493307834720 is an abundant number, because the sum of its proper divisors (1177122007219826160) is greater than itself. Its abundance is 756817513911991440
Bases of 420304493307834720
- Binary: 101110101010011100010110101101101010001110100110001011000002
- Hexadecimal: 0x5D538B5B51D3160
- Base-36: 36YHIANJ1Y00
Squares and roots of 420304493307834720
- 420304493307834720 squared (4203044933078347202) is 176655867094755680929556134837478400
- 420304493307834720 cubed (4203044933078347203) is 74249254709117478815438188475265248802428608770048000
-
The
square root of 420304493307834720 is 648308948.9647931121 -
The
cube root of 420304493307834720 is 749068.1721094543
Scales and comparisons
How big is 420304493307834720?- 420,304,493,307,834,720 seconds is equal to 13,364,382,800 years, 1 week, 4 days, 1 hour, 12 minutes.
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To count from 1 to 420,304,493,307,834,720 would take you about forty billion, ninety-three million, one hundred forty-eight thousand, four hundred 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 420304493307834720 cubic inches would be around 62422.3 feet tall.
Recreational maths with 420304493307834720
- 420304493307834720 backwards is 027438703394403024
- The number of decimal digits it has is: 18
- The sum of 420304493307834720's digits is 63
- More coming soon!
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