42585019164695280
42,585,019,164,695,280 is an even composite number composed of seven prime numbers multiplied together.
42585019164695280 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 42585019164695280:
24 × 3 × 5 × 7 × 13 × 53 × 36789877639
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 53 × 36789877639)See below for interesting mathematical facts about the number 42585019164695280 from the Numbermatics database.
Names of 42585019164695280
- Cardinal: 42585019164695280 can be written as Forty-two quadrillion, five hundred eighty-five trillion, nineteen billion, one hundred sixty-four million, six hundred ninety-five thousand, two hundred eighty.
Scientific notation
- Scientific notation: 4.258501916469528 × 1016
Factors of 42585019164695280
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 36789877722
Divisors of 42585019164695280
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 53 56 60 65 70 78 80 84 91 104 105 106 112 120 130 140 156 159 168 182 195 208 210 212 240 260 265 273 280 312 318 336 364 371 390 420 424 455 520 530 546 560 624 636 689 728 742 780 795 840 848 910 1040 1060 1092 1113 1272 1365 1378 1456 1484 1560 1590 1680 1820 1855 2067 2120 2184 2226 2544 2730 2756 2968 3120 3180 3445 3640 3710 4134 4240 4368 4452 4823 5460 5512 5565 5936 6360 6890 7280 7420 8268 8904 9646 10335 10920 11024 11130 12720 13780 14469 14840 16536 17808 19292 20670 21840 22260 24115 27560 28938 29680 33072 38584 41340 44520 48230 55120 57876 72345 77168 82680 89040 96460 115752 144690 165360 192920 231504 289380 385840 578760 1157520 36789877639 73579755278 110369632917 147159510556 183949388195 220739265834 257529143473 294319021112 367898776390 441478531668 478268409307 515058286946 551848164585 588638042224 735797552780 772587430419 882957063336 956536818614 1030116573892 1103696329170 1287645717365 1434805227921 1471595105560 1545174860838 1765914126672 1913073637228 1949863514867 2060233147784 2207392658340 2391342046535 2575291434730 2869610455842 2943190211120 3090349721676 3347878865149 3826147274456 3862937152095 3899727029734 4120466295568 4414785316680 4782684093070 5150582869460 5739220911684 5849590544601 6180699443352 6695757730298 7174026139605 7652294548912 7725874304190 7799454059468 8829570633360 9565368186140 9749317574335 10043636595447 10301165738920 11478441823368 11699181089202 12361398886704 13391515460596 13649044604069 14348052279210 15451748608380 15598908118936 16739394325745 19130736372280 19498635148670 20087273190894 20602331477840 22956883646736 23398362178404 25348225693271 26783030921192 27298089208138 28696104558420 29247952723005 30903497216760 31197816237872 33478788651490 38261472744560 38997270297340 40174546381788 40947133812207 46796724356808 50218182977235 50696451386542 53566061842384 54596178416276 57392209116840 58495905446010 61806994433520 66957577302980 68245223020345 76044677079813 77994540594680 80349092763576 81894267624414 93593448713616 100436365954470 101392902773084 109192356832552 114784418233680 116991810892020 126741128466355 133915154605960 136490446040690 152089354159626 155989081189360 160698185527152 163788535248828 177437579852897 200872731908940 202785805546168 204735669061035 218384713665104 233983621784040 253482256932710 267830309211920 272980892081380 304178708319252 327577070497656 354875159705794 380223385399065 401745463817880 405571611092336 409471338122070 467967243568080 506964513865420 532312739558691 545961784162760 608357416638504 655154140995312 709750319411588 760446770798130 803490927635760 818942676244140 887187899264485 1013929027730840 1064625479117382 1091923568325520 1216714833277008 1419500638823176 1520893541596260 1637885352488280 1774375798528970 2027858055461680 2129250958234764 2661563697793455 2839001277646352 3041787083192520 3275770704976560 3548751597057940 4258501916469528 5323127395586910 6083574166385040 7097503194115880 8517003832939056 10646254791173820 14195006388231760 21292509582347640 42585019164695280
- Sum of all divisors σ(n): 165543853895239680
- Sum of proper divisors (its aliquot sum) s(n): 122958834730544400
- 42585019164695280 is an abundant number, because the sum of its proper divisors (122958834730544400) is greater than itself. Its abundance is 80373815565849120
Bases of 42585019164695280
- Binary: 100101110100101011011001011011000001000010011010111100002
- Hexadecimal: 0x974AD96C109AF0
- Base-36: BNB4NQA1PTC
Squares and roots of 42585019164695280
- 42585019164695280 squared (425850191646952802) is 1813483857257464283145175254278400
- 42585019164695280 cubed (425850191646952803) is 77227244816174636036056780164369414442052285952000
-
The
square root of 42585019164695280 is 206361380.0222688955 -
The
cube root of 42585019164695280 is 349209.1508703747
Scales and comparisons
How big is 42585019164695280?- 42,585,019,164,695,280 seconds is equal to 1,354,071,885 years, 16 weeks, 6 days, 1 hour, 8 minutes.
-
To count from 1 to 42,585,019,164,695,280 would take you about four billion, sixty-two million, two hundred fifteen thousand, six hundred fifty-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 42585019164695280 cubic inches would be around 29100.8 feet tall.
Recreational maths with 42585019164695280
- 42585019164695280 backwards is 08259646191058524
- The number of decimal digits it has is: 17
- The sum of 42585019164695280's digits is 75
- More coming soon!
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