48382148028500
48,382,148,028,500 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48382148028500 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
48382148028500 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 48382148028500:
22 × 53 × 11 × 13 × 127 × 397 × 13421
(2 × 2 × 5 × 5 × 5 × 11 × 13 × 127 × 397 × 13421)See below for interesting mathematical facts about the number 48382148028500 from the Numbermatics database.
Names of 48382148028500
- Cardinal: 48382148028500 can be written as Forty-eight trillion, three hundred eighty-two billion, one hundred forty-eight million, twenty-eight thousand, five hundred.
Scientific notation
- Scientific notation: 4.83821480285 × 1013
Factors of 48382148028500
Divisors of 48382148028500
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 125 127 130 143 220 250 254 260 275 286 325 397 500 508 550 572 635 650 715 794 1100 1270 1300 1375 1397 1430 1588 1625 1651 1985 2540 2750 2794 2860 3175 3250 3302 3575 3970 4367 5161 5500 5588 6350 6500 6604 6985 7150 7940 8255 8734 9925 10322 12700 13421 13970 14300 15875 16510 17468 17875 18161 19850 20644 21835 25805 26842 27940 31750 33020 34925 35750 36322 39700 41275 43670 49625 50419 51610 53684 56771 63500 67105 69850 71500 72644 82550 87340 90805 99250 100838 103220 109175 113542 129025 134210 139700 147631 165100 174473 174625 181610 198500 201676 206375 218350 227084 252095 258050 268420 283855 295262 335525 348946 349250 363220 412750 436700 454025 504190 516100 545875 554609 567710 590524 645125 655447 671050 697892 698500 738155 825500 872365 908050 1008380 1091750 1109218 1135420 1260475 1290250 1310894 1342100 1419275 1476310 1677625 1704467 1744730 1816100 1919203 2183500 2218436 2270125 2520950 2580500 2621788 2773045 2838550 2952620 3277235 3355250 3408934 3489460 3690775 3838406 4361825 4540250 5041900 5328137 5546090 5677100 6302375 6554470 6710500 6817868 7096375 7209917 7381550 7676812 8522335 8723650 9080500 9596015 10656274 11092180 12604750 13108940 13865225 14192750 14419834 14763100 16386175 17044670 17447300 18453875 18749137 19192030 21312548 21809125 22158071 25209500 26640685 27730450 28385500 28839668 32772350 34089340 36049585 36907750 37498274 38384060 42611675 43618250 44316142 47980075 53281370 55460900 58609507 65544700 69265781 69326125 72099170 73815500 74996548 81930875 85223350 87236500 88632284 93745685 95960150 106562740 110790355 117219014 133203425 138531562 138652250 144198340 163861750 170446700 180247925 187491370 191920300 213058375 221580710 234438028 239900375 243738781 266406850 277063124 277304500 293047535 327723500 346328905 360495850 374982740 426116750 443161420 468728425 479800750 487477562 532813700 553951775 586095070 666017125 676673399 692657810 720991700 761923591 852233500 901239625 937456850 959601500 974955124 1107903550 1172190140 1218693905 1332034250 1353346798 1385315620 1465237675 1523847182 1731644525 1802479250 1874913700 2215807100 2343642125 2437387810 2664068500 2706693596 2769758875 2930475350 3047694364 3383366995 3463289050 3604958500 3809617955 4687284250 4874775620 5539517750 5860950700 6093469525 6766733990 6926578100 7326188375 7443407389 7619235910 8658222625 8796754187 9374568500 11079035500 12186939050 13533467980 14652376750 14886814778 15238471820 16916834975 17316445250 17593508374 19048089775 24373878100 29304753500 29773629556 30467347625 33833669950 34632890500 35187016748 37217036945 38096179550 43983770935 60934695250 67667339900 74434073890 76192359100 84584174875 87967541870 95240448875 96764296057 121869390500 148868147780 169168349750 175935083740 186085184725 190480897750 193528592114 219918854675 338336699500 372170369450 380961795500 387057184228 439837709350 483821480285 744340738900 879675418700 930425923625 967642960570 1099594273375 1860851847250 1935285921140 2199188546750 2419107401425 3721703694500 4398377093500 4838214802850 9676429605700 12095537007125 24191074014250 48382148028500
- Sum of all divisors σ(n): 125441776631808
- Sum of proper divisors (its aliquot sum) s(n): 77059628603308
- 48382148028500 is an abundant number, because the sum of its proper divisors (77059628603308) is greater than itself. Its abundance is 28677480574808
Bases of 48382148028500
- Binary: 10110000000000110110001011111100101000010101002
- Hexadecimal: 0x2C00D8BF2854
- Base-36: H5EG9QUZ8
Squares and roots of 48382148028500
- 48382148028500 squared (483821480285002) is 2340832247851686436812250000
- 48382148028500 cubed (483821480285003) is 113254492325446694299215991162149125000000
-
The
square root of 48382148028500 is 6955727.7137981759 -
The
cube root of 48382148028500 is 36438.6027362525
Scales and comparisons
How big is 48382148028500?- 48,382,148,028,500 seconds is equal to 1,538,402 years, 33 weeks, 6 days, 3 hours, 28 minutes, 20 seconds.
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To count from 1 to 48,382,148,028,500 would take you about three million, eight hundred forty-six thousand and 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 48382148028500 cubic inches would be around 3036.6 feet tall.
Recreational maths with 48382148028500
- 48382148028500 backwards is 00582084128384
- The number of decimal digits it has is: 14
- The sum of 48382148028500's digits is 53
- More coming soon!
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