48480131481600
48,480,131,481,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 48480131481600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2280 divisors.
48480131481600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred eighty divisors.
Prime factorization of 48480131481600:
218 × 3 × 52 × 74 × 13 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 79)See below for interesting mathematical facts about the number 48480131481600 from the Numbermatics database.
Names of 48480131481600
- Cardinal: 48480131481600 can be written as Forty-eight trillion, four hundred eighty billion, one hundred thirty-one million, four hundred eighty-one thousand, six hundred.
Scientific notation
- Scientific notation: 4.84801314816 × 1013
Factors of 48480131481600
Divisors of 48480131481600
- Number of divisors d(n): 2280
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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 79 80 84 91 96 98 100 104 105 112 120 128 130 140 147 150 156 158 160 168 175 182 192 195 196 200 208 210 224 237 240 245 256 260 273 280 294 300 312 316 320 325 336 343 350 364 384 390 392 395 400 416 420 448 455 474 480 490 512 520 525 546 553 560 588 600 624 632 637 640 650 672 686 700 728 735 768 780 784 790 800 832 840 896 910 948 960 975 980 1024 1027 1029 1040 1050 1092 1106 1120 1176 1185 1200 1225 1248 1264 1274 1280 1300 1344 1365 1372 1400 1456 1470 1536 1560 1568 1580 1600 1659 1664 1680 1715 1792 1820 1896 1911 1920 1950 1960 1975 2048 2054 2058 2080 2100 2184 2212 2240 2275 2352 2370 2400 2401 2450 2496 2528 2548 2560 2600 2688 2730 2744 2765 2800 2912 2940 3072 3081 3120 3136 3160 3185 3200 3318 3328 3360 3430 3584 3640 3675 3792 3822 3840 3871 3900 3920 3950 4096 4108 4116 4160 4200 4368 4424 4459 4480 4550 4704 4740 4800 4802 4900 4992 5056 5096 5120 5135 5145 5200 5376 5460 5488 5530 5600 5824 5880 5925 6144 6162 6240 6272 6320 6370 6400 6636 6656 6720 6825 6860 7168 7189 7203 7280 7350 7584 7644 7680 7742 7800 7840 7900 8192 8216 8232 8295 8320 8400 8575 8736 8848 8918 8960 9100 9408 9480 9555 9600 9604 9800 9984 10112 10192 10240 10270 10290 10400 10752 10920 10976 11060 11200 11613 11648 11760 11850 12005 12288 12324 12480 12544 12640 12740 12800 13272 13312 13377 13440 13650 13720 13825 14336 14378 14406 14560 14700 15168 15288 15360 15405 15484 15600 15680 15800 15925 16384 16432 16464 16590 16640 16800 17150 17472 17696 17836 17920 18200 18816 18960 19110 19200 19208 19355 19600 19968 20224 20384 20480 20540 20580 20800 21504 21567 21840 21952 22120 22295 22400 23226 23296 23520 23700 24010 24576 24648 24960 25088 25280 25480 25600 25675 25725 26544 26624 26754 26880 27097 27300 27440 27650 28672 28756 28812 29120 29400 30336 30576 30720 30810 30968 31200 31213 31360 31600 31850 32768 32864 32928 33180 33280 33600 34300 34944 35392 35672 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149169635328 151500410880 153418137600 155385036800 161600438272 164898406400 173143326720 177582899200 186462044160 189375513600 197878087680 202000547840 204557516800 216429158400 230857768960 233077555200 242400657408 247347609600 248616058880 252500684800 266374348800 277029322752 288572211200 303000821760 306836275200 310770073600 323200876544 329796812800 346286653440 372924088320 378751027200 404001095680 432858316800 461715537920 466155110400 484801314816 494695219200 505001369600 532748697600 577144422400 606001643520 613672550400 621540147200 646401753088 692573306880 745848176640 757502054400 808002191360 865716633600 932310220800 969602629632 989390438400 1010002739200 1154288844800 1212003287040 1243080294400 1385146613760 1515004108800 1616004382720 1731433267200 1864620441600 1939205259264 2020005478400 2308577689600 2424006574080 3030008217600 3232008765440 3462866534400 3729240883200 4040010956800 4848013148160 6060016435200 6925733068800 8080021913600 9696026296320 12120032870400 16160043827200 24240065740800 48480131481600
- Sum of all divisors σ(n): 203949152946560
- Sum of proper divisors (its aliquot sum) s(n): 155469021464960
- 48480131481600 is an abundant number, because the sum of its proper divisors (155469021464960) is greater than itself. Its abundance is 106988889983360
Bases of 48480131481600
- Binary: 10110000010111101010010000010000000000000000002
- Hexadecimal: 0x2C17A9040000
- Base-36: H6NGQKB9C
Squares and roots of 48480131481600
- 48480131481600 squared (484801314816002) is 2350323148473223411138560000
- 48480131481600 cubed (484801314816003) is 113943975262229949268968642755690496000000
-
The
square root of 48480131481600 is 6962767.5159809839 -
The
cube root of 48480131481600 is 36463.1846170559
Scales and comparisons
How big is 48480131481600?- 48,480,131,481,600 seconds is equal to 1,541,518 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 48,480,131,481,600 would take you about three million, eight hundred fifty-three thousand, seven hundred ninety-five 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 48480131481600 cubic inches would be around 3038.6 feet tall.
Recreational maths with 48480131481600
- 48480131481600 backwards is 00618413108484
- 48480131481600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48480131481600's digits is 48
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The information we have on file for 48480131481600 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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