48228835200
48,228,835,200 is an even composite number composed of six prime numbers multiplied together.
48228835200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 48228835200:
27 × 3 × 52 × 7 × 13 × 55207
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 55207)See below for interesting mathematical facts about the number 48228835200 from the Numbermatics database.
Names of 48228835200
- Cardinal: 48228835200 can be written as Forty-eight billion, two hundred twenty-eight million, eight hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 4.82288352 × 1010
Factors of 48228835200
Divisors of 48228835200
- Number of divisors d(n): 384
-
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 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 260 273 280 300 312 320 325 336 350 364 384 390 400 416 420 448 455 480 520 525 546 560 600 624 640 650 672 700 728 780 800 832 840 896 910 960 975 1040 1050 1092 1120 1200 1248 1300 1344 1365 1400 1456 1560 1600 1664 1680 1820 1920 1950 2080 2100 2184 2240 2275 2400 2496 2600 2688 2730 2800 2912 3120 3200 3360 3640 3900 4160 4200 4368 4480 4550 4800 4992 5200 5460 5600 5824 6240 6720 6825 7280 7800 8320 8400 8736 9100 9600 10400 10920 11200 11648 12480 13440 13650 14560 15600 16800 17472 18200 20800 21840 22400 24960 27300 29120 31200 33600 34944 36400 41600 43680 54600 55207 58240 62400 67200 72800 87360 109200 110414 124800 145600 165621 174720 218400 220828 276035 291200 331242 386449 436800 441656 552070 662484 717691 772898 828105 873600 883312 1104140 1159347 1324968 1380175 1435382 1545796 1656210 1766624 1932245 2153073 2208280 2318694 2649936 2760350 2870764 3091592 3312420 3533248 3588455 3864490 4140525 4306146 4416560 4637388 5023837 5299872 5520700 5741528 5796735 6183184 6624840 7066496 7176910 7728980 8281050 8612292 8833120 9274776 9661225 10047674 10599744 10765365 11041400 11483056 11593470 12366368 13249680 14353820 15071511 15457960 16562100 17224584 17666240 17942275 18549552 19322450 20095348 21199488 21530730 22082800 22966112 23186940 24732736 25119185 26499360 28707640 28983675 30143022 30915920 33124200 34449168 35332480 35884550 37099104 38644900 40190696 43061460 44165600 45932224 46373880 49465472 50238370 52998720 53826825 57415280 57967350 60286044 61831840 66248400 68898336 71769100 74198208 75357555 77289800 80381392 86122920 88331200 91864448 92747760 100476740 105997440 107653650 114830560 115934700 120572088 123663680 125595925 132496800 137796672 143538200 148396416 150715110 154579600 160762784 172245840 176662400 185495520 200953480 215307300 229661120 231869400 241144176 247327360 251191850 264993600 275593344 287076400 301430220 309159200 321525568 344491680 370991040 376787775 401906960 430614600 459322240 463738800 482288352 502383700 529987200 574152800 602860440 618318400 643051136 688983360 741982080 753575550 803813920 861229200 927477600 964576704 1004767400 1148305600 1205720880 1236636800 1377966720 1507151100 1607627840 1722458400 1854955200 1929153408 2009534800 2296611200 2411441760 3014302200 3215255680 3444916800 3709910400 4019069600 4822883520 6028604400 6889833600 8038139200 9645767040 12057208800 16076278400 24114417600 48228835200
- Sum of all divisors σ(n): 195515819520
- Sum of proper divisors (its aliquot sum) s(n): 147286984320
- 48228835200 is an abundant number, because the sum of its proper divisors (147286984320) is greater than itself. Its abundance is 99058149120
Bases of 48228835200
- Binary: 1011001110101010100110011111100000002
- Hexadecimal: 0xB3AA99F80
- Base-36: M5M7BEO
Squares and roots of 48228835200
- 48228835200 squared (482288352002) is 2326020544748759040000
- 48228835200 cubed (482288352003) is 112181261524502125144670208000000
-
The
square root of 48228835200 is 219610.6445507595 -
The
cube root of 48228835200 is 3640.0073259927
Scales and comparisons
How big is 48228835200?- 48,228,835,200 seconds is equal to 1,533 years, 27 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 48,228,835,200 would take you about three thousand and sixty-seven 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 48228835200 cubic inches would be around 303.3 feet tall.
Recreational maths with 48228835200
- 48228835200 backwards is 00253882284
- 48228835200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 48228835200's digits is 42
- More coming soon!
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