47538057806720
47,538,057,806,720 is an even composite number composed of six prime numbers multiplied together.
47538057806720 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 47538057806720:
27 × 5 × 132 × 379 × 1061 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 379 × 1061 × 1093)See below for interesting mathematical facts about the number 47538057806720 from the Numbermatics database.
Names of 47538057806720
- Cardinal: 47538057806720 can be written as Forty-seven trillion, five hundred thirty-eight billion, fifty-seven million, eight hundred six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.753805780672 × 1013
Factors of 47538057806720
Divisors of 47538057806720
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 169 208 260 320 338 379 416 520 640 676 758 832 845 1040 1061 1093 1352 1516 1664 1690 1895 2080 2122 2186 2704 3032 3380 3790 4160 4244 4372 4927 5305 5408 5465 6064 6760 7580 8320 8488 8744 9854 10610 10816 10930 12128 13520 13793 14209 15160 16976 17488 19708 21220 21632 21860 24256 24635 27040 27586 28418 30320 33952 34976 39416 42440 43720 48512 49270 54080 55172 56836 60640 64051 67904 68965 69952 71045 78832 84880 87440 98540 108160 110344 113672 121280 128102 135808 137930 139904 142090 157664 169760 174880 179309 184717 197080 220688 227344 242560 256204 275860 284180 315328 320255 339520 349760 358618 369434 394160 402119 414247 441376 454688 512408 551720 568360 630656 640510 679040 699520 717236 738868 788320 804238 828494 882752 896545 909376 923585 1024816 1103440 1136720 1159673 1281020 1434472 1477736 1576640 1608476 1656988 1765504 1793090 1818752 1847170 2010595 2049632 2071235 2206880 2273440 2319346 2562040 2868944 2955472 3153280 3216952 3313976 3586180 3694340 4021190 4099264 4142470 4413760 4546880 4638692 5124080 5227547 5385211 5737888 5798365 5910944 6433904 6627952 7172360 7388680 8042380 8198528 8284940 8827520 9093760 9277384 10248160 10455094 10770422 11475776 11596730 11821888 12867808 13255904 14344720 14777360 15075749 16084760 16569880 18554768 20496320 20910188 21540844 22951552 23193460 23643776 25735616 26137735 26511808 26926055 28689440 29554720 30151498 32169520 33139760 37109536 40992640 41820376 43081688 46386920 51471232 52275470 53023616 53852110 57378880 59109440 60302996 64339040 66279520 67958111 70007743 74219072 75378745 83640752 86163376 92773840 104550940 107704220 114757760 118218880 120605992 128678080 132559040 135916222 140015486 148438144 150757490 167281504 172326752 185547680 195984737 209101880 215408440 241211984 257356160 265118080 271832444 280030972 301514980 334563008 339790555 344653504 350038715 371095360 391969474 418203760 430816880 439516067 482423968 543664888 560061944 603029960 669126016 679581110 689307008 700077430 742190720 783938948 836407520 861633760 879032134 964847936 979923685 1087329776 1120123888 1206059920 1359162220 1400154860 1567877896 1672815040 1723267520 1758064268 1929695872 1959847370 2174659552 2197580335 2240247776 2412119840 2718324440 2800309720 3135755792 3345630080 3446535040 3516128536 3919694740 4349319104 4395160670 4480495552 4824239680 5436648880 5600619440 5713708871 6271511584 7032257072 7839389480 8698638208 8790321340 8960991104 9648479360 10873297760 11201238880 11427417742 12543023168 14064514144 15678778960 17580642680 21746595520 22402477760 22854835484 25086046336 28129028288 28568544355 31357557920 35161285360 43493191040 44804955520 45709670968 56258056576 57137088710 62715115840 70322570720 74278215323 91419341936 114274177420 125430231680 140645141440 148556430646 182838683872 228548354840 281290282880 297112861292 365677367744 371391076615 457096709680 594225722584 731354735488 742782153230 914193419360 1188451445168 1485564306460 1828386838720 2376902890336 2971128612920 3656773677440 4753805780672 5942257225840 9507611561344 11884514451680 23769028903360 47538057806720
- Sum of all divisors σ(n): 123614084253600
- Sum of proper divisors (its aliquot sum) s(n): 76076026446880
- 47538057806720 is an abundant number, because the sum of its proper divisors (76076026446880) is greater than itself. Its abundance is 28537968640160
Bases of 47538057806720
- Binary: 10101100111100010100010000110010000011100000002
- Hexadecimal: 0x2B3C510C8380
- Base-36: GUMOK7ZI8
Squares and roots of 47538057806720
- 47538057806720 squared (475380578067202) is 2259866940035052336877158400
- 47538057806720 cubed (475380578067203) is 107429685230881757853526979222770024448000
-
The
square root of 47538057806720 is 6894784.8267164945 -
The
cube root of 47538057806720 is 36225.4518684341
Scales and comparisons
How big is 47538057806720?- 47,538,057,806,720 seconds is equal to 1,511,563 years, 10 weeks, 9 hours, 25 minutes, 20 seconds.
-
To count from 1 to 47,538,057,806,720 would take you about three million, seven hundred seventy-eight thousand, nine hundred 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 47538057806720 cubic inches would be around 3018.8 feet tall.
Recreational maths with 47538057806720
- 47538057806720 backwards is 02760875083574
- The number of decimal digits it has is: 14
- The sum of 47538057806720's digits is 62
- More coming soon!
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