48668235134745600
48,668,235,134,745,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48668235134745600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
48668235134745600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 48668235134745600:
210 × 33 × 52 × 11 × 29 × 421 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 29 × 421 × 524287)See below for interesting mathematical facts about the number 48668235134745600 from the Numbermatics database.
Names of 48668235134745600
- Cardinal: 48668235134745600 can be written as Forty-eight quadrillion, six hundred sixty-eight trillion, two hundred thirty-five billion, one hundred thirty-four million, seven hundred forty-five thousand, six hundred.
Scientific notation
- Scientific notation: 4.86682351347456 × 1016
Factors of 48668235134745600
Divisors of 48668235134745600
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 40 44 45 48 50 54 55 58 60 64 66 72 75 80 87 88 90 96 99 100 108 110 116 120 128 132 135 144 145 150 160 165 174 176 180 192 198 200 216 220 225 232 240 256 261 264 270 275 288 290 297 300 319 320 330 348 352 360 384 396 400 421 432 435 440 450 464 480 495 512 522 528 540 550 576 580 594 600 638 640 660 675 696 704 720 725 768 783 792 800 825 842 864 870 880 900 928 957 960 990 1024 1044 1056 1080 1100 1152 1160 1188 1200 1263 1276 1280 1305 1320 1350 1392 1408 1440 1450 1485 1536 1566 1584 1595 1600 1650 1684 1728 1740 1760 1800 1856 1914 1920 1980 2088 2105 2112 2160 2175 2200 2304 2320 2376 2400 2475 2526 2552 2560 2610 2640 2700 2784 2816 2871 2880 2900 2970 3072 3132 3168 3190 3200 3300 3368 3456 3480 3520 3600 3712 3789 3828 3840 3915 3960 4176 4210 4224 4320 4350 4400 4608 4631 4640 4752 4785 4800 4950 5052 5104 5120 5220 5280 5400 5568 5632 5742 5760 5800 5940 6264 6315 6336 6380 6400 6525 6600 6736 6912 6960 7040 7200 7424 7425 7578 7656 7680 7830 7920 7975 8352 8420 8448 8613 8640 8700 8800 9216 9262 9280 9504 9570 9600 9900 10104 10208 10440 10525 10560 10800 11136 11264 11367 11484 11520 11600 11880 12209 12528 12630 12672 12760 12800 13050 13200 13472 13824 13893 13920 14080 14355 14400 14848 14850 15156 15312 15360 15660 15840 15950 16704 16840 16896 17226 17280 17400 17600 18524 18560 18945 19008 19140 19200 19575 19800 20208 20416 20880 21050 21120 21600 22272 22734 22968 23040 23155 23200 23760 23925 24418 25056 25260 25344 25520 25600 26100 26400 26944 27648 27786 27840 28160 28710 28800 29696 29700 30312 30624 31320 31575 31680 31900 33408 33680 33792 34452 34560 34800 35200 36627 37048 37120 37890 38016 38280 38400 39150 39600 40416 40832 41679 41760 42100 42240 43065 43200 44544 45468 45936 46080 46310 46400 47520 47850 48836 50112 50520 50688 51040 52200 52800 53888 55572 55680 56320 56835 57420 57600 59400 60624 61045 61248 62640 63150 63360 63800 66816 67360 68904 69120 69465 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337973855102400 360505445442560 368698751020800 380220586990200 405568626122880 419553751161600 442438501224960 450631806803200 486682351347456 491598334694400 506960782653600 540758168163840 553048126531200 559405001548800 608352939184320 648909801796608 675947710204800 737397502041600 760441173980400 811137252245760 839107502323200 884877002449920 901263613606400 973364702694912 1013921565307200 1081516336327680 1106096253062400 1216705878368640 1351895420409600 1474795004083200 1520882347960800 1622274504491520 1678215004646400 1802527227212800 1946729405389824 2027843130614400 2212192506124800 2433411756737280 2703790840819200 3041764695921600 3244549008983040 4055686261228800 4424385012249600 4866823513474560 5407581681638400 6083529391843200 8111372522457600 9733647026949120 12167058783686400 16222745044915200 24334117567372800 48668235134745600
- Sum of all divisors σ(n): 202173578005708800
- Sum of proper divisors (its aliquot sum) s(n): 153505342870963200
- 48668235134745600 is an abundant number, because the sum of its proper divisors (153505342870963200) is greater than itself. Its abundance is 104837107736217600
Bases of 48668235134745600
- Binary: 101011001110011110000000100000110000110100111100000000002
- Hexadecimal: 0xACE780830D3C00
- Base-36: DB7G6KEMTC0
Squares and roots of 48668235134745600
- 48668235134745600 squared (486682351347456002) is 2368597111130886070188376719360000
- 48668235134745600 cubed (486682351347456003) is 115275441143997117919752334505516463676194816000000
-
The
square root of 48668235134745600 is 220608782.9954773127 -
The
cube root of 48668235134745600 is 365102.8299371557
Scales and comparisons
How big is 48668235134745600?- 48,668,235,134,745,600 seconds is equal to 1,547,499,336 years, 28 weeks, 4 days.
-
To count from 1 to 48,668,235,134,745,600 would take you about four billion, six hundred forty-two million, four hundred ninety-eight thousand and nine 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 48668235134745600 cubic inches would be around 30425.2 feet tall.
Recreational maths with 48668235134745600
- 48668235134745600 backwards is 00654743153286684
- 48668235134745600 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48668235134745600's digits is 72
- More coming soon!
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"Number 48668235134745600 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 48668235134745600 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/48668235134745600/
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The information we have on file for 48668235134745600 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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