48528738721800
48,528,738,721,800 is an even composite number composed of six prime numbers multiplied together.
48528738721800 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 48528738721800:
23 × 33 × 52 × 61 × 281 × 524287
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 61 × 281 × 524287)See below for interesting mathematical facts about the number 48528738721800 from the Numbermatics database.
Names of 48528738721800
- Cardinal: 48528738721800 can be written as Forty-eight trillion, five hundred twenty-eight billion, seven hundred thirty-eight million, seven hundred twenty-one thousand, eight hundred.
Scientific notation
- Scientific notation: 4.85287387218 × 1013
Factors of 48528738721800
Divisors of 48528738721800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 61 72 75 90 100 108 120 122 135 150 180 183 200 216 225 244 270 281 300 305 360 366 450 488 540 549 562 600 610 675 732 843 900 915 1080 1098 1124 1220 1350 1405 1464 1525 1647 1686 1800 1830 2196 2248 2440 2529 2700 2745 2810 3050 3294 3372 3660 4215 4392 4575 5058 5400 5490 5620 6100 6588 6744 7025 7320 7587 8235 8430 9150 10116 10980 11240 12200 12645 13176 13725 14050 15174 16470 16860 17141 18300 20232 21075 21960 25290 27450 28100 30348 32940 33720 34282 36600 37935 41175 42150 50580 51423 54900 56200 60696 63225 65880 68564 75870 82350 84300 85705 101160 102846 109800 126450 137128 151740 154269 164700 168600 171410 189675 205692 252900 257115 303480 308538 329400 342820 379350 411384 428525 462807 505800 514230 524287 617076 685640 758700 771345 857050 925614 1028460 1048574 1234152 1285575 1517400 1542690 1572861 1714100 1851228 2056920 2097148 2314035 2571150 2621435 3085380 3145722 3428200 3702456 3856725 4194296 4628070 4718583 5142300 5242870 6170760 6291444 7713450 7864305 9256140 9437166 10284600 10485740 11570175 12582888 13107175 14155749 15426900 15728610 18512280 18874332 20971480 23140350 23592915 26214350 28311498 30853800 31457220 31981507 37748664 39321525 46280700 47185830 52428700 56622996 62914440 63963014 70778745 78643050 92561400 94371660 95944521 104857400 113245992 117964575 127926028 141557490 147324647 157286100 159907535 188743320 191889042 235929150 255852056 283114980 287833563 294649294 314572200 319815070 353893725 383778084 441973941 471858300 479722605 566229960 575667126 589298588 639630140 707787450 736623235 767556168 799537675 863500689 883947882 943716600 959445210 1151334252 1178597176 1279260280 1325921823 1415574900 1439167815 1473246470 1599075350 1727001378 1767895764 1918890420 2209869705 2302668504 2398613025 2651843646 2831149800 2878335630 2946492940 3198150700 3454002756 3535791528 3683116175 3837780840 3977765469 4317503445 4419739410 4797226050 5303687292 5756671260 5892985880 6396301400 6629609115 6908005512 7195839075 7366232350 7955530938 8635006890 8839478820 8986803467 9594452100 10607374584 11049348525 11513342520 13259218230 14391678150 14732464700 15911061876 17270013780 17678957640 17973606934 19188904200 19888827345 21587517225 22098697050 26518436460 26960410401 28783356300 29464929400 31822123752 33148045575 34540027560 35947213868 39777654690 43175034450 44197394100 44934017335 53036872920 53920820802 57566712600 66296091150 71894427736 79555309380 80881231203 86350068900 88394788200 89868034670 99444136725 107841641604 132592182300 134802052005 159110618760 161762462406 172700137800 179736069340 198888273450 215683283208 224670086675 242643693609 265184364600 269604104010 323524924812 359472138680 397776546900 404406156015 449340173350 485287387218 539208208020 647049849624 674010260025 795553093800 808812312030 898680346700 970574774436 1078416416040 1213218468045 1348020520050 1617624624060 1797360693400 1941149548872 2022030780075 2426436936090 2696041040100 3235249248120 4044061560150 4852873872180 5392082080200 6066092340225 8088123120300 9705747744360 12132184680450 16176246240600 24264369360900 48528738721800
- Sum of all divisors σ(n): 170499715891200
- Sum of proper divisors (its aliquot sum) s(n): 121970977169400
- 48528738721800 is an abundant number, because the sum of its proper divisors (121970977169400) is greater than itself. Its abundance is 73442238447600
Bases of 48528738721800
- Binary: 10110000100010111110100011101110100000000010002
- Hexadecimal: 0x2C22FA3BA008
- Base-36: H79SM25U0
Squares and roots of 48528738721800
- 48528738721800 squared (485287387218002) is 2355038481928730697795240000
- 48528738721800 cubed (485287387218003) is 114287047169303882962020197275724232000000
-
The
square root of 48528738721800 is 6966257.1530054789 -
The
cube root of 48528738721800 is 36475.3668087301
Scales and comparisons
How big is 48528738721800?- 48,528,738,721,800 seconds is equal to 1,543,063 years, 40 weeks, 4 days, 16 hours, 30 minutes.
-
To count from 1 to 48,528,738,721,800 would take you about three million, eight hundred fifty-seven thousand, six hundred fifty-nine 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 48528738721800 cubic inches would be around 3039.6 feet tall.
Recreational maths with 48528738721800
- 48528738721800 backwards is 00812783782584
- The number of decimal digits it has is: 14
- The sum of 48528738721800's digits is 63
- More coming soon!
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