48791225892864000
48,791,225,892,864,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48791225892864000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
48791225892864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 48791225892864000:
223 × 3 × 53 × 72 × 132 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 1873)See below for interesting mathematical facts about the number 48791225892864000 from the Numbermatics database.
Names of 48791225892864000
- Cardinal: 48791225892864000 can be written as Forty-eight quadrillion, seven hundred ninety-one trillion, two hundred twenty-five billion, eight hundred ninety-two million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.8791225892864 × 1016
Factors of 48791225892864000
Divisors of 48791225892864000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 125 128 130 140 147 150 156 160 168 169 175 182 192 195 196 200 208 210 224 240 245 250 256 260 273 280 294 300 312 320 325 336 338 350 364 375 384 390 392 400 416 420 448 455 480 490 500 507 512 520 525 546 560 588 600 624 637 640 650 672 676 700 728 735 750 768 780 784 800 832 840 845 875 896 910 960 975 980 1000 1014 1024 1040 1050 1092 1120 1176 1183 1200 1225 1248 1274 1280 1300 1344 1352 1365 1400 1456 1470 1500 1536 1560 1568 1600 1625 1664 1680 1690 1750 1792 1820 1873 1911 1920 1950 1960 2000 2028 2048 2080 2100 2184 2240 2275 2352 2366 2400 2450 2496 2535 2548 2560 2600 2625 2688 2704 2730 2800 2912 2940 3000 3072 3120 3136 3185 3200 3250 3328 3360 3380 3500 3549 3584 3640 3675 3746 3822 3840 3900 3920 4000 4056 4096 4160 4200 4225 4368 4480 4550 4704 4732 4800 4875 4900 4992 5070 5096 5120 5200 5250 5376 5408 5460 5600 5619 5824 5880 5915 6000 6125 6144 6240 6272 6370 6400 6500 6656 6720 6760 6825 7000 7098 7168 7280 7350 7492 7644 7680 7800 7840 8000 8112 8192 8281 8320 8400 8450 8736 8960 9100 9365 9408 9464 9555 9600 9750 9800 9984 10140 10192 10240 10400 10500 10752 10816 10920 11200 11238 11375 11648 11760 11830 12000 12250 12288 12480 12544 12675 12740 12800 13000 13111 13312 13440 13520 13650 14000 14196 14336 14560 14700 14984 15288 15360 15600 15680 15925 16000 16224 16384 16562 16640 16800 16900 17472 17745 17920 18200 18375 18730 18816 18928 19110 19200 19500 19600 19968 20280 20384 20480 20800 21000 21125 21504 21632 21840 22400 22476 22750 23296 23520 23660 24000 24349 24500 24576 24843 24960 25088 25350 25480 25600 26000 26222 26624 26880 27040 27300 28000 28095 28392 28672 29120 29400 29575 29968 30576 30720 31200 31360 31850 32000 32448 32768 33124 33280 33600 33800 34125 34944 35490 35840 36400 36750 37460 37632 37856 38220 38400 39000 39200 39333 39936 40560 40768 40960 41405 41600 42000 42250 43008 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217817972736000 232339170918400 234573201408000 243956129464320 248934825984000 250211414835200 254120968192000 268083658752000 278807005102080 288705478656000 290423963648000 304945161830400 312764268544000 325274839285760 331913101312000 348508756377600 375317122252800 381181452288000 390329807142912 406593549107200 435635945472000 464678341836800 469146402816000 487912258928640 497869651968000 508241936384000 536167317504000 580847927296000 609890323660800 625528537088000 650549678571520 697017512755200 750634244505600 762362904576000 813187098214400 871271890944000 938292805632000 975824517857280 995739303936000 1016483872768000 1161695854592000 1219780647321600 1251057074176000 1394035025510400 1524725809152000 1626374196428800 1742543781888000 1876585611264000 1951649035714560 2032967745536000 2323391709184000 2439561294643200 3049451618304000 3252748392857600 3485087563776000 3753171222528000 4065935491072000 4879122589286400 6098903236608000 6970175127552000 8131870982144000 9758245178572800 12197806473216000 16263741964288000 24395612946432000 48791225892864000
- Sum of all divisors σ(n): 204644459755139040
- Sum of proper divisors (its aliquot sum) s(n): 155853233862275040
- 48791225892864000 is an abundant number, because the sum of its proper divisors (155853233862275040) is greater than itself. Its abundance is 107062007969411040
Bases of 48791225892864000
- Binary: 101011010101011101011100100001111000000000000000000000002
- Hexadecimal: 0xAD575C87800000
- Base-36: DCF1NQOHN9C
Squares and roots of 48791225892864000
- 48791225892864000 squared (487912258928640002) is 2380583724128482434006122496000000
- 48791225892864000 cubed (487912258928640003) is 116151598240828221606393714036340156268544000000000
-
The
square root of 48791225892864000 is 220887360.1926194417 -
The
cube root of 48791225892864000 is 365410.1248321167
Scales and comparisons
How big is 48791225892864000?- 48,791,225,892,864,000 seconds is equal to 1,551,410,062 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 48,791,225,892,864,000 would take you about four billion, six hundred fifty-four million, two hundred thirty thousand, one hundred eighty-six 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 48791225892864000 cubic inches would be around 30450.8 feet tall.
Recreational maths with 48791225892864000
- 48791225892864000 backwards is 00046829852219784
- 48791225892864000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48791225892864000's digits is 75
- More coming soon!
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MLA style:
"Number 48791225892864000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 48791225892864000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/48791225892864000/
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Numbermatics. 2024. "Number 48791225892864000 - Facts about the integer". https://numbermatics.com/n/48791225892864000/
The information we have on file for 48791225892864000 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!
Keywords: Divisors of 48791225892864000, math, Factors of 48791225892864000, curriculum, school, college, exams, university, Prime factorization of 48791225892864000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, seven hundred ninety-one trillion, two hundred twenty-five billion, eight hundred ninety-two million, eight hundred sixty-four thousand.