48468097046400
48,468,097,046,400 is an even composite number composed of six prime numbers multiplied together.
48468097046400 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 48468097046400:
27 × 3 × 52 × 113 × 191 × 233923
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 113 × 191 × 233923)See below for interesting mathematical facts about the number 48468097046400 from the Numbermatics database.
Names of 48468097046400
- Cardinal: 48468097046400 can be written as Forty-eight trillion, four hundred sixty-eight billion, ninety-seven million, forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.84680970464 × 1013
Factors of 48468097046400
Divisors of 48468097046400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 113 120 128 150 160 191 192 200 226 240 300 320 339 382 384 400 452 480 565 573 600 640 678 764 800 904 955 960 1130 1146 1200 1356 1528 1600 1695 1808 1910 1920 2260 2292 2400 2712 2825 2865 3056 3200 3390 3616 3820 4520 4584 4775 4800 5424 5650 5730 6112 6780 7232 7640 8475 9040 9168 9550 9600 10848 11300 11460 12224 13560 14325 14464 15280 16950 18080 18336 19100 21583 21696 22600 22920 24448 27120 28650 30560 33900 36160 36672 38200 43166 43392 45200 45840 54240 57300 61120 64749 67800 72320 73344 76400 86332 90400 91680 107915 108480 114600 122240 129498 135600 152800 172664 180800 183360 215830 216960 229200 233923 258996 271200 305600 323745 345328 361600 366720 431660 458400 467846 517992 539575 542400 611200 647490 690656 701769 863320 916800 935692 1035984 1079150 1084800 1169615 1294980 1381312 1403538 1618725 1726640 1833600 1871384 2071968 2158300 2339230 2589960 2762624 2807076 3237450 3453280 3508845 3742768 4143936 4316600 4678460 5179920 5614152 5848075 6474900 6906560 7017690 7485536 8287872 8633200 9356920 10359840 11228304 11696150 12949800 13813120 14035380 14971072 17266400 17544225 18713840 20719680 22456608 23392300 25899600 26433299 28070760 29942144 34532800 35088450 37427680 41439360 44679293 44913216 46784600 51799200 52866598 56141520 69065600 70176900 74855360 79299897 89358586 89826432 93569200 103598400 105733196 112283040 132166495 134037879 140353800 149710720 158599794 178717172 187138400 207196800 211466392 223396465 224566080 264332990 268075758 280707600 317199588 357434344 374276800 396499485 422932784 446792930 449132160 528665980 536151516 561415200 634399176 660832475 670189395 714868688 748553600 792998970 845865568 893585860 1057331960 1072303032 1116982325 1122830400 1268798352 1321664950 1340378790 1429737376 1585997940 1691731136 1787171720 1982497425 2114663920 2144606064 2233964650 2245660800 2537596704 2643329900 2680757580 2859474752 3171995880 3350946975 3383462272 3574343440 3964994850 4229327840 4289212128 4467929300 5048760109 5075193408 5286659800 5361515160 5718949504 6343991760 6701893950 7148686880 7929989700 8458655680 8578424256 8935858600 10097520218 10150386816 10573319600 10723030320 12687983520 13403787900 14297373760 15146280327 15859979400 16917311360 17156848512 17871717200 20195040436 21146639200 21446060640 25243800545 25375967040 26807575800 28594747520 30292560654 31719958800 35743434400 40390080872 42293278400 42892121280 50487601090 50751934080 53615151600 60585121308 63439917600 71486868800 75731401635 80780161744 84586556800 85784242560 100975202180 107230303200 121170242616 126219002725 126879835200 142973737600 151462803270 161560323488 201950404360 214460606400 242340485232 252438005450 253759670400 302925606540 323120646976 378657008175 403900808720 428921212800 484680970464 504876010900 605851213080 646241293952 757314016350 807801617440 969361940928 1009752021800 1211702426160 1514628032700 1615603234880 1938723881856 2019504043600 2423404852320 3029256065400 3231206469760 4039008087200 4846809704640 6058512130800 8078016174400 9693619409280 12117024261600 16156032348800 24234048523200 48468097046400
- Sum of all divisors σ(n): 161898463549440
- Sum of proper divisors (its aliquot sum) s(n): 113430366503040
- 48468097046400 is an abundant number, because the sum of its proper divisors (113430366503040) is greater than itself. Its abundance is 64962269456640
Bases of 48468097046400
- Binary: 10110000010100110110111011010100010111100000002
- Hexadecimal: 0x2C14DBB51780
- Base-36: H6HXPKLMO
Squares and roots of 48468097046400
- 48468097046400 squared (484680970464002) is 2349156431299248403752960000
- 48468097046400 cubed (484680970464003) is 113859141889386666072478755251257344000000
-
The
square root of 48468097046400 is 6961903.2632176097 -
The
cube root of 48468097046400 is 36460.1672287389
Scales and comparisons
How big is 48468097046400?- 48,468,097,046,400 seconds is equal to 1,541,135 years, 29 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 48,468,097,046,400 would take you about three million, eight hundred fifty-two thousand, eight hundred thirty-eight 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 48468097046400 cubic inches would be around 3038.3 feet tall.
Recreational maths with 48468097046400
- 48468097046400 backwards is 00464079086484
- 48468097046400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48468097046400's digits is 60
- More coming soon!
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