42025809522705120
42,025,809,522,705,120 is an even composite number composed of six prime numbers multiplied together.
42025809522705120 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 42025809522705120:
25 × 32 × 5 × 7 × 461 × 9043876649
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 461 × 9043876649)See below for interesting mathematical facts about the number 42025809522705120 from the Numbermatics database.
Names of 42025809522705120
- Cardinal: 42025809522705120 can be written as Forty-two quadrillion, twenty-five trillion, eight hundred nine billion, five hundred twenty-two million, seven hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.202580952270512 × 1016
Factors of 42025809522705120
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 9043877127
Divisors of 42025809522705120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 461 480 504 560 630 672 720 840 922 1008 1120 1260 1383 1440 1680 1844 2016 2305 2520 2766 3227 3360 3688 4149 4610 5040 5532 6454 6915 7376 8298 9220 9681 10080 11064 12908 13830 14752 16135 16596 18440 19362 20745 22128 25816 27660 29043 32270 33192 36880 38724 41490 44256 48405 51632 55320 58086 64540 66384 73760 77448 82980 96810 103264 110640 116172 129080 132768 145215 154896 165960 193620 221280 232344 258160 290430 309792 331920 387240 464688 516320 580860 663840 774480 929376 1161720 1548960 2323440 4646880 9043876649 18087753298 27131629947 36175506596 45219383245 54263259894 63307136543 72351013192 81394889841 90438766490 108526519788 126614273086 135658149735 144702026384 162789779682 180877532980 189921409629 217053039576 253228546172 271316299470 289404052768 316535682715 325579559364 361755065960 379842819258 406974449205 434106079152 506457092344 542632598940 569764228887 633071365430 651159118728 723510131920 759685638516 813948898410 868212158304 949607048145 1012914184688 1085265197880 1139528457774 1266142730860 1302318237456 1447020263840 1519371277032 1627897796820 1899214096290 2025828369376 2170530395760 2279056915548 2532285461720 2604636474912 2848821144435 3038742554064 3255795593640 3798428192580 4169227135189 4341060791520 4558113831096 5064570923440 5697642288870 6077485108128 6511591187280 7596856385160 8338454270378 9116227662192 10129141846880 11395284577740 12507681405567 13023182374560 15193712770320 16676908540756 18232455324384 20846135675945 22790569155480 25015362811134 29184589946323 30387425540640 33353817081512 37523044216701 41692271351890 45581138310960 50030725622268 58369179892646 62538407027835 66707634163024 75046088433402 83384542703780 87553769838969 91162276621920 100061451244536 116738359785292 125076814055670 133415268326048 145922949731615 150092176866804 166769085407560 175107539677938 187615221083505 200122902489072 233476719570584 250153628111340 262661309516907 291845899463230 300184353733608 333538170815120 350215079355876 375230442167010 400245804978144 437768849194845 466953439141168 500307256222680 525322619033814 583691798926460 600368707467216 667076341630240 700430158711752 750460884334020 875537698389690 933906878282336 1000614512445360 1050645238067628 1167383597852920 1200737414934432 1313306547584535 1400860317423504 1500921768668040 1751075396779380 2001229024890720 2101290476135256 2334767195705840 2626613095169070 2801720634847008 3001843537336080 3502150793558760 4202580952270512 4669534391411680 5253226190338140 6003687074672160 7004301587117520 8405161904541024 10506452380676280 14008603174235040 21012904761352560 42025809522705120
- Sum of all divisors σ(n): 164256190035537600
- Sum of proper divisors (its aliquot sum) s(n): 122230380512832480
- 42025809522705120 is an abundant number, because the sum of its proper divisors (122230380512832480) is greater than itself. Its abundance is 80204570990127360
Bases of 42025809522705120
- Binary: 100101010100111001000000010001111111111111000010111000002
- Hexadecimal: 0x954E4047FFC2E0
- Base-36: BHSWMD7KL40
Squares and roots of 42025809522705120
- 42025809522705120 squared (420258095227051202) is 1766168666038692346104802474214400
- 42025809522705120 cubed (420258095227051203) is 74224667943912275669156930177854109310134857728000
-
The
square root of 42025809522705120 is 205001974.4361139561 -
The
cube root of 42025809522705120 is 347673.8519632289
Scales and comparisons
How big is 42025809522705120?- 42,025,809,522,705,120 seconds is equal to 1,336,290,748 years, 23 weeks, 5 days, 17 hours, 12 minutes.
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To count from 1 to 42,025,809,522,705,120 would take you about four billion, eight million, eight hundred seventy-two thousand, two hundred forty-five 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 42025809522705120 cubic inches would be around 28972.8 feet tall.
Recreational maths with 42025809522705120
- 42025809522705120 backwards is 02150722590852024
- The number of decimal digits it has is: 17
- The sum of 42025809522705120's digits is 54
- More coming soon!
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