47984198725938720
47,984,198,725,938,720 is an even composite number composed of six prime numbers multiplied together.
What does the number 47984198725938720 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
47984198725938720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 47984198725938720:
25 × 3 × 5 × 7 × 1031 × 13851611567
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 1031 × 13851611567)See below for interesting mathematical facts about the number 47984198725938720 from the Numbermatics database.
Names of 47984198725938720
- Cardinal: 47984198725938720 can be written as Forty-seven quadrillion, nine hundred eighty-four trillion, one hundred ninety-eight billion, seven hundred twenty-five million, nine hundred thirty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.798419872593872 × 1016
Factors of 47984198725938720
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 13851612615
Divisors of 47984198725938720
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1031 1120 1680 2062 3093 3360 4124 5155 6186 7217 8248 10310 12372 14434 15465 16496 20620 21651 24744 28868 30930 32992 36085 41240 43302 49488 57736 61860 72170 82480 86604 98976 108255 115472 123720 144340 164960 173208 216510 230944 247440 288680 346416 433020 494880 577360 692832 866040 1154720 1732080 3464160 13851611567 27703223134 41554834701 55406446268 69258057835 83109669402 96961280969 110812892536 138516115670 166219338804 193922561938 207774173505 221625785072 277032231340 290883842907 332438677608 387845123876 415548347010 443251570144 484806404845 554064462680 581767685814 664877355216 775690247752 831096694020 969612809690 1108128925360 1163535371628 1329754710432 1454419214535 1551380495504 1662193388040 1939225619380 2216257850720 2327070743256 2908838429070 3102760991008 3324386776080 3878451238760 4654141486512 5817676858140 6648773552160 7756902477520 9308282973024 11635353716280 14281011525577 15513804955040 23270707432560 28562023051154 42843034576731 46541414865120 57124046102308 71405057627885 85686069153462 99967080679039 114248092204616 142810115255770 171372138306924 199934161358078 214215172883655 228496184409232 285620230511540 299901242037117 342744276613848 399868322716156 428430345767310 456992368818464 499835403395195 571240461023080 599802484074234 685488553227696 799736645432312 856860691534620 999670806790390 1142480922046160 1199604968148468 1370977106455392 1499506210185585 1599473290864624 1713721383069240 1999341613580780 2284961844092320 2399209936296936 2999012420371170 3198946581729248 3427442766138480 3998683227161560 4798419872593872 5998024840742340 6854885532276960 7997366454323120 9596839745187744 11996049681484680 15994732908646240 23992099362969360 47984198725938720
- Sum of all divisors σ(n): 172910664519376896
- Sum of proper divisors (its aliquot sum) s(n): 124926465793438176
- 47984198725938720 is an abundant number, because the sum of its proper divisors (124926465793438176) is greater than itself. Its abundance is 76942267067499456
Bases of 47984198725938720
- Binary: 101010100111100101011111110111111110010000101110001000002
- Hexadecimal: 0xAA795FDFE42E20
- Base-36: D4GZ8KU4KDC
Squares and roots of 47984198725938720
- 47984198725938720 squared (479841987259387202) is 2302483327370379079680145195238400
- 47984198725938720 cubed (479841987259387203) is 110482817543700888587023818734850655248714190848000
-
The
square root of 47984198725938720 is 219052958.7244571321 -
The
cube root of 47984198725938720 is 363384.2352723243
Scales and comparisons
How big is 47984198725938720?- 47,984,198,725,938,720 seconds is equal to 1,525,749,094 years, 31 weeks, 6 days, 2 hours, 32 minutes.
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To count from 1 to 47,984,198,725,938,720 would take you about four billion, five hundred seventy-seven million, two hundred forty-seven thousand, two hundred eighty-three 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 47984198725938720 cubic inches would be around 30282 feet tall.
Recreational maths with 47984198725938720
- 47984198725938720 backwards is 02783952789148974
- The number of decimal digits it has is: 17
- The sum of 47984198725938720's digits is 93
- More coming soon!
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