42506590014620160
42,506,590,014,620,160 is an even composite number composed of six prime numbers multiplied together.
42506590014620160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 42506590014620160:
29 × 3 × 5 × 11 × 13 × 38704281409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 38704281409)See below for interesting mathematical facts about the number 42506590014620160 from the Numbermatics database.
Names of 42506590014620160
- Cardinal: 42506590014620160 can be written as Forty-two quadrillion, five hundred six trillion, five hundred ninety billion, fourteen million, six hundred twenty thousand, one hundred sixty.
Scientific notation
- Scientific notation: 4.250659001462016 × 1016
Factors of 42506590014620160
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 38704281443
Divisors of 42506590014620160
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 104 110 120 128 130 132 143 156 160 165 176 192 195 208 220 240 256 260 264 286 312 320 330 352 384 390 416 429 440 480 512 520 528 572 624 640 660 704 715 768 780 832 858 880 960 1040 1056 1144 1248 1280 1320 1408 1430 1536 1560 1664 1716 1760 1920 2080 2112 2145 2288 2496 2560 2640 2816 2860 3120 3328 3432 3520 3840 4160 4224 4290 4576 4992 5280 5632 5720 6240 6656 6864 7040 7680 8320 8448 8580 9152 9984 10560 11440 12480 13728 14080 16640 16896 17160 18304 19968 21120 22880 24960 27456 28160 33280 34320 36608 42240 45760 49920 54912 68640 73216 84480 91520 99840 109824 137280 183040 219648 274560 366080 549120 1098240 38704281409 77408562818 116112844227 154817125636 193521407045 232225688454 309634251272 387042814090 425747095499 464451376908 503155658317 580564221135 619268502544 774085628180 851494190998 928902753816 1006311316634 1161128442270 1238537005088 1277241286497 1509466974951 1548171256360 1702988381996 1857805507632 2012622633268 2128735477495 2322256884540 2477074010176 2515778291585 2554482572994 3018933949902 3096342512720 3405976763992 3715611015264 4025245266536 4257470954990 4644513769080 4954148020352 5031556583170 5108965145988 5534712241487 6037867899804 6192685025440 6386206432485 6811953527984 7431222030528 7547334874755 8050490533072 8514941909980 9289027538160 9908296040704 10063113166340 10217930291976 11069424482974 12075735799608 12385370050880 12772412864970 13623907055968 14862444061056 15094669749510 16100981066144 16604136724461 17029883819960 18578055076320 19816592081408 20126226332680 20435860583952 22138848965948 24151471599216 24770740101760 25544825729940 27247814111936 27673561207435 29724888122112 30189339499020 32201962132288 33208273448922 34059767639920 37156110152640 40252452665360 40871721167904 44277697931896 48302943198432 49541480203520 51089651459880 54495628223872 55347122414870 59449776244224 60378678998040 64403924264576 66416546897844 68119535279840 74312220305280 80504905330720 81743442335808 83020683622305 88555395863792 96605886396864 99082960407040 102179302919760 108991256447744 110694244829740 120757357996080 128807848529152 132833093795688 136239070559680 148624440610560 161009810661440 163486884671616 166041367244610 177110791727584 193211772793728 204358605839520 217982512895488 221388489659480 241514715992160 257615697058304 265666187591376 272478141119360 297248881221120 322019621322880 326973769343232 332082734489220 354221583455168 386423545587456 408717211679040 442776979318960 483029431984320 531332375182752 544956282238720 644039242645760 653947538686464 664165468978440 708443166910336 772847091174912 817434423358080 885553958637920 966058863968640 1062664750365504 1089912564477440 1288078485291520 1328330937956880 1416886333820672 1634868846716160 1771107917275840 1932117727937280 2125329500731008 2656661875913760 2833772667641344 3269737693432320 3542215834551680 3864235455874560 4250659001462016 5313323751827520 7084431669103360 8501318002924032 10626647503655040 14168863338206720 21253295007310080 42506590014620160
- Sum of all divisors σ(n): 159644942885957760
- Sum of proper divisors (its aliquot sum) s(n): 117138352871337600
- 42506590014620160 is an abundant number, because the sum of its proper divisors (117138352871337600) is greater than itself. Its abundance is 74631762856717440
Bases of 42506590014620160
- Binary: 100101110000001110000100101101100110111101000010000000002
- Hexadecimal: 0x970384B66F4200
- Base-36: BMJBTVJ2NEO
Squares and roots of 42506590014620160
- 42506590014620160 squared (425065900146201602) is 1806810194671006293922549078425600
- 42506590014620160 cubed (425065900146201603) is 76801340179116503558906544809669519838434820096000
-
The
square root of 42506590014620160 is 206171263.7944972195 -
The
cube root of 42506590014620160 is 348994.6387537225
Scales and comparisons
How big is 42506590014620160?- 42,506,590,014,620,160 seconds is equal to 1,351,578,080 years, 49 weeks, 2 days, 12 hours, 16 minutes.
-
To count from 1 to 42,506,590,014,620,160 would take you about four billion, fifty-four million, seven hundred thirty-four thousand, two hundred forty-two 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 42506590014620160 cubic inches would be around 29082.9 feet tall.
Recreational maths with 42506590014620160
- 42506590014620160 backwards is 06102641009560524
- The number of decimal digits it has is: 17
- The sum of 42506590014620160's digits is 51
- More coming soon!
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