48686990418192000
48,686,990,418,192,000 is an even composite number composed of six prime numbers multiplied together.
48686990418192000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 48686990418192000:
27 × 3 × 53 × 7 × 769 × 188428813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 769 × 188428813)See below for interesting mathematical facts about the number 48686990418192000 from the Numbermatics database.
Names of 48686990418192000
- Cardinal: 48686990418192000 can be written as Forty-eight quadrillion, six hundred eighty-six trillion, nine hundred ninety billion, four hundred eighteen million, one hundred ninety-two thousand.
Scientific notation
- Scientific notation: 4.8686990418192 × 1016
Factors of 48686990418192000
Divisors of 48686990418192000
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 128 140 150 160 168 175 192 200 210 224 240 250 280 300 320 336 350 375 384 400 420 448 480 500 525 560 600 640 672 700 750 769 800 840 875 896 960 1000 1050 1120 1200 1344 1400 1500 1538 1600 1680 1750 1920 2000 2100 2240 2307 2400 2625 2688 2800 3000 3076 3200 3360 3500 3845 4000 4200 4480 4614 4800 5250 5383 5600 6000 6152 6720 7000 7690 8000 8400 9228 9600 10500 10766 11200 11535 12000 12304 13440 14000 15380 16000 16149 16800 18456 19225 21000 21532 22400 23070 24000 24608 26915 28000 30760 32298 33600 36912 38450 42000 43064 46140 48000 49216 53830 56000 57675 61520 64596 67200 73824 76900 80745 84000 86128 92280 96125 98432 107660 112000 115350 123040 129192 134575 147648 153800 161490 168000 172256 184560 192250 215320 230700 246080 258384 269150 288375 295296 307600 322980 336000 344512 369120 384500 403725 430640 461400 492160 516768 538300 576750 615200 645960 672875 689024 738240 769000 807450 861280 922800 1033536 1076600 1153500 1230400 1291920 1345750 1476480 1538000 1614900 1722560 1845600 2018625 2067072 2153200 2307000 2460800 2583840 2691500 3076000 3229800 3445120 3691200 4037250 4306400 4614000 5167680 5383000 6152000 6459600 7382400 8074500 8612800 9228000 10335360 10766000 12304000 12919200 16149000 17225600 18456000 21532000 25838400 32298000 36912000 43064000 51676800 64596000 86128000 129192000 188428813 258384000 376857626 565286439 753715252 942144065 1130572878 1319001691 1507430504 1884288130 2261145756 2638003382 2826432195 3014861008 3768576260 3957005073 4522291512 4710720325 5276006764 5652864390 6029722016 6595008455 7537152520 7914010146 9044583024 9421440650 10552013528 11305728780 12059444032 13190016910 14132160975 15074305040 15828020292 18089166048 18842881300 19785025365 21104027056 22611457560 23553601625 24118888064 26380033820 28264321950 30148610080 31656040584 32975042275 36178332096 37685762600 39570050730 42208054112 45222915120 47107203250 52760067640 56528643900 60297220160 63312081168 65950084550 70660804875 72356664192 75371525200 79140101460 84416108224 90445830240 94214406500 98925126825 105520135280 113057287800 120594440320 126624162336 131900169100 141321609750 144901757197 150743050400 158280202920 164875211375 168832216448 180891660480 188428813000 197850253650 211040270560 226114575600 253248324672 263800338200 282643219500 289803514394 301486100800 316560405840 329750422750 361783320960 376857626000 395700507300 422080541120 434705271591 452229151200 494625634125 506496649344 527600676400 565286439000 579607028788 602972201600 633120811680 659500845500 724508785985 753715252000 791401014600 844161082240 869410543182 904458302400 989251268250 1014312300379 1055201352800 1130572878000 1159214057576 1266241623360 1319001691000 1449017571970 1507430504000 1582802029200 1738821086364 1808916604800 1978502536500 2028624600758 2110402705600 2173526357955 2261145756000 2318428115152 2532483246720 2638003382000 2898035143940 3014861008000 3042936901137 3165604058400 3477642172728 3622543929925 3957005073000 4057249201516 4220805411200 4347052715910 4522291512000 4636856230304 5071561501895 5276006764000 5796070287880 6085873802274 6331208116800 6955284345456 7245087859850 7914010146000 8114498403032 8694105431820 9044583024000 9273712460608 10143123003790 10552013528000 10867631789775 11592140575760 12171747604548 12662416233600 13910568690912 14490175719700 15214684505685 15828020292000 16228996806064 17388210863640 18112719649625 18547424921216 20286246007580 21104027056000 21735263579550 23184281151520 24343495209096 25357807509475 27821137381824 28980351439400 30429369011370 31656040584000 32457993612128 34776421727280 36225439299250 40572492015160 43470527159100 46368562303040 48686990418192 50715615018950 54338158948875 55642274763648 57960702878800 60858738022740 63312081168000 64915987224256 69552843454560 72450878598500 76073422528425 81144984030320 86941054318200 92737124606080 97373980836384 101431230037900 108676317897750 115921405757600 121717476045480 126789037547375 129831974448512 139105686909120 144901757197000 152146845056850 162289968060640 173882108636400 194747961672768 202862460075800 217352635795500 231842811515200 243434952090960 253578075094750 278211373818240 289803514394000 304293690113700 324579936121280 347764217272800 380367112642125 389495923345536 405724920151600 434705271591000 463685623030400 486869904181920 507156150189500 579607028788000 608587380227400 649159872242560 695528434545600 760734225284250 811449840303200 869410543182000 973739808363840 1014312300379000 1159214057576000 1217174760454800 1391056869091200 1521468450568500 1622899680606400 1738821086364000 1947479616727680 2028624600758000 2318428115152000 2434349520909600 3042936901137000 3245799361212800 3477642172728000 4057249201516000 4868699041819200 6085873802274000 6955284345456000 8114498403032000 9737398083638400 12171747604548000 16228996806064000 24343495209096000 48686990418192000
- Sum of all divisors σ(n): 184694004163468800
- Sum of proper divisors (its aliquot sum) s(n): 136007013745276800
- 48686990418192000 is an abundant number, because the sum of its proper divisors (136007013745276800) is greater than itself. Its abundance is 87320023327084800
Bases of 48686990418192000
- Binary: 101011001111100010001111010100010000111100100110100000002
- Hexadecimal: 0xACF88F510F2680
- Base-36: DBE3IMI5F9C
Squares and roots of 48686990418192000
- 48686990418192000 squared (486869904181920002) is 2370423035981119619044548864000000
- 48686990418192000 cubed (486869904181920003) is 115408763639874361344242135823557338533888000000000
-
The
square root of 48686990418192000 is 220651286.9171444465 -
The
cube root of 48686990418192000 is 365149.7238205467
Scales and comparisons
How big is 48686990418192000?- 48,686,990,418,192,000 seconds is equal to 1,548,095,696 years, 28 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 48,686,990,418,192,000 would take you about four billion, six hundred forty-four million, two hundred eighty-seven thousand and eighty-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 48686990418192000 cubic inches would be around 30429.1 feet tall.
Recreational maths with 48686990418192000
- 48686990418192000 backwards is 00029181409968684
- 48686990418192000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48686990418192000's digits is 75
- More coming soon!
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