42028478800
42,028,478,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 42028478800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
42028478800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 42028478800:
24 × 52 × 7 × 112 × 19 × 6529
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 19 × 6529)See below for interesting mathematical facts about the number 42028478800 from the Numbermatics database.
Names of 42028478800
- Cardinal: 42028478800 can be written as Forty-two billion, twenty-eight million, four hundred seventy-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.20284788 × 1010
Factors of 42028478800
Divisors of 42028478800
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 35 38 40 44 50 55 56 70 76 77 80 88 95 100 110 112 121 133 140 152 154 175 176 190 200 209 220 242 266 275 280 304 308 350 380 385 400 418 440 475 484 532 550 560 605 616 665 700 760 770 836 847 880 950 968 1045 1064 1100 1210 1232 1330 1400 1463 1520 1540 1672 1694 1900 1925 1936 2090 2128 2200 2299 2420 2660 2800 2926 3025 3080 3325 3344 3388 3800 3850 4180 4235 4400 4598 4840 5225 5320 5852 6050 6160 6529 6650 6776 7315 7600 7700 8360 8470 9196 9680 10450 10640 11495 11704 12100 13058 13300 13552 14630 15400 16093 16720 16940 18392 20900 21175 22990 23408 24200 26116 26600 29260 30800 32186 32645 33880 36575 36784 41800 42350 45703 45980 48400 52232 53200 57475 58520 64372 65290 67760 71819 73150 80465 83600 84700 91406 91960 104464 114950 117040 124051 128744 130580 143638 146300 160930 163225 169400 182812 183920 228515 229900 248102 257488 261160 287276 292600 321860 326450 338800 359095 365624 402325 457030 459800 496204 502733 522320 574552 585200 620255 643720 652900 718190 731248 790009 804650 868357 914060 919600 992408 1005466 1142575 1149104 1240510 1287440 1305800 1364561 1436380 1580018 1609300 1736714 1795475 1828120 1984816 2010932 2285150 2481020 2513665 2611600 2729122 2872760 3101275 3160036 3218600 3473428 3590950 3656240 3950045 4021864 4341785 4570300 4962040 5027330 5458244 5530063 5745520 6202550 6320072 6437200 6822805 6946856 7181900 7900090 8043728 8683570 9140600 9551927 9924080 10054660 10916488 11060126 12405100 12568325 12640144 13645610 13893712 14363800 15010171 15800180 17367140 18281200 19103854 19750225 20109320 21708925 21832976 22120252 24810200 25136650 27291220 27650315 28727600 30020342 31600360 34114025 34734280 38207708 39500450 40218640 43417850 44240504 47759635 49620400 50273300 54582440 55300630 60040684 63200720 68228050 69468560 75050855 76415416 79000900 86835700 88481008 95519270 100546600 105071197 109164880 110601260 120081368 136456100 138251575 150101710 152830832 158001800 173671400 191038540 201093200 210142394 221202520 238798175 240162736 272912200 276503150 300203420 316003600 347342800 375254275 382077080 420284788 442405040 477596350 525355985 545824400 553006300 600406840 750508550 764154160 840569576 955192700 1050711970 1106012600 1200813680 1501017100 1681139152 1910385400 2101423940 2212025200 2626779925 3002034200 3820770800 4202847880 5253559850 6004068400 8405695760 10507119700 21014239400 42028478800
- Sum of all divisors σ(n): 133539022400
- Sum of proper divisors (its aliquot sum) s(n): 91510543600
- 42028478800 is an abundant number, because the sum of its proper divisors (91510543600) is greater than itself. Its abundance is 49482064800
Bases of 42028478800
- Binary: 1001110010010001011110110001010100002
- Hexadecimal: 0x9C917B150
- Base-36: JB2O5SG
Squares and roots of 42028478800
- 42028478800 squared (420284788002) is 1766393030242049440000
- 42028478800 cubed (420284788003) is 74238812023995733757591872000000
-
The
square root of 42028478800 is 205008.4847024629 -
The
cube root of 42028478800 is 3476.8121266435
Scales and comparisons
How big is 42028478800?- 42,028,478,800 seconds is equal to 1,336 years, 19 weeks, 3 days, 17 hours, 26 minutes, 40 seconds.
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To count from 1 to 42,028,478,800 would take you about two thousand, six hundred seventy-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 42028478800 cubic inches would be around 289.7 feet tall.
Recreational maths with 42028478800
- 42028478800 backwards is 00887482024
- The number of decimal digits it has is: 11
- The sum of 42028478800's digits is 43
- More coming soon!
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