48201973456000
48,201,973,456,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48201973456000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
48201973456000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 48201973456000:
27 × 53 × 72 × 13 × 4729393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 4729393)See below for interesting mathematical facts about the number 48201973456000 from the Numbermatics database.
Names of 48201973456000
- Cardinal: 48201973456000 can be written as Forty-eight trillion, two hundred one billion, nine hundred seventy-three million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 4.8201973456 × 1013
Factors of 48201973456000
Divisors of 48201973456000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 175 182 196 200 208 224 245 250 260 280 320 325 350 364 392 400 416 448 455 490 500 520 560 637 640 650 700 728 784 800 832 875 896 910 980 1000 1040 1120 1225 1274 1300 1400 1456 1568 1600 1625 1664 1750 1820 1960 2000 2080 2240 2275 2450 2548 2600 2800 2912 3136 3185 3200 3250 3500 3640 3920 4000 4160 4480 4550 4900 5096 5200 5600 5824 6125 6272 6370 6500 7000 7280 7840 8000 8320 9100 9800 10192 10400 11200 11375 11648 12250 12740 13000 14000 14560 15680 15925 16000 18200 19600 20384 20800 22400 22750 24500 25480 26000 28000 29120 31360 31850 36400 39200 40768 41600 45500 49000 50960 52000 56000 58240 63700 72800 78400 79625 81536 91000 98000 101920 104000 112000 127400 145600 156800 159250 182000 196000 203840 208000 254800 291200 318500 364000 392000 407680 509600 637000 728000 784000 1019200 1274000 1456000 2038400 2548000 4729393 5096000 9458786 10192000 18917572 23646965 33105751 37835144 47293930 61482109 66211502 75670288 94587860 118234825 122964218 132423004 151340576 165528755 189175720 231740257 236469650 245928436 264846008 302681152 307410545 331057510 378351440 430374763 463480514 472939300 491856872 529692016 591174125 605362304 614821090 662115020 756702880 827643775 860749526 926961028 945878600 983713744 1059384032 1158701285 1182348250 1229642180 1324230040 1513405760 1537052725 1655287550 1721499052 1853922056 1891757200 1967427488 2118768064 2151873815 2317402570 2364696500 2459284360 2648460080 3012623341 3026811520 3074105450 3310575100 3442998104 3707844112 3783514400 3934854976 4138218875 4237536128 4303747630 4634805140 4729393000 4918568720 5296920160 5793506425 6025246682 6148210900 6621150200 6885996208 7415688224 7567028800 7685263625 7869709952 8276437750 8607495260 9269610280 9458786000 9837137440 10593840320 10759369075 11587012850 12050493364 12296421800 13242300400 13771992416 14831376448 15063116705 15134057600 15370527250 16552875500 17214990520 18539220560 18917572000 19674274880 21187680640 21518738150 23174025700 24100986728 24592843600 26484600800 27543984832 28967532125 29662752896 30126233410 30741054500 33105751000 34429981040 37078441120 37835144000 39348549760 43037476300 46348051400 48201973456 49185687200 52969201600 53796845375 55087969664 57935064250 60252466820 61482109000 66211502000 68859962080 74156882240 75315583525 75670288000 86074952600 92696102800 96403946912 98371374400 105938403200 107593690750 115870128500 120504933640 122964218000 132423004000 137719924160 148313764480 150631167050 172149905200 185392205600 192807893824 196742748800 215187381500 231740257000 241009867280 245928436000 264846008000 275439848320 301262334100 344299810400 370784411200 376577917625 385615787648 430374763000 463480514000 482019734560 491856872000 529692016000 602524668200 688599620800 741568822400 753155835250 860749526000 926961028000 964039469120 983713744000 1205049336400 1377199241600 1506311670500 1721499052000 1853922056000 1928078938240 2410098672800 3012623341000 3442998104000 3707844112000 4820197345600 6025246682000 6885996208000 9640394691200 12050493364000 24100986728000 48201973456000
- Sum of all divisors σ(n): 150131964069360
- Sum of proper divisors (its aliquot sum) s(n): 101929990613360
- 48201973456000 is an abundant number, because the sum of its proper divisors (101929990613360) is greater than itself. Its abundance is 53728017157360
Bases of 48201973456000
- Binary: 10101111010110111001011000000101011100100000002
- Hexadecimal: 0x2BD6E5815C80
- Base-36: H33OIGH34
Squares and roots of 48201973456000
- 48201973456000 squared (482019734560002) is 2323430245052928583936000000
- 48201973456000 cubed (482019734560003) is 111993922998908838917946740002816000000000
-
The
square root of 48201973456000 is 6942764.1077599633 -
The
cube root of 48201973456000 is 36393.3141566549
Scales and comparisons
How big is 48201973456000?- 48,201,973,456,000 seconds is equal to 1,532,673 years, 34 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
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To count from 1 to 48,201,973,456,000 would take you about three million, eight hundred thirty-one thousand, six hundred eighty-four 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 48201973456000 cubic inches would be around 3032.8 feet tall.
Recreational maths with 48201973456000
- 48201973456000 backwards is 00065437910284
- 48201973456000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48201973456000's digits is 49
- More coming soon!
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