48382139548800
48,382,139,548,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 48382139548800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
48382139548800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 48382139548800:
27 × 34 × 52 × 5521 × 33809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5521 × 33809)See below for interesting mathematical facts about the number 48382139548800 from the Numbermatics database.
Names of 48382139548800
- Cardinal: 48382139548800 can be written as Forty-eight trillion, three hundred eighty-two billion, one hundred thirty-nine million, five hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.83821395488 × 1013
Factors of 48382139548800
Divisors of 48382139548800
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 270 288 300 320 324 360 384 400 405 432 450 480 540 576 600 640 648 675 720 800 810 864 900 960 1080 1152 1200 1296 1350 1440 1600 1620 1728 1800 1920 2025 2160 2400 2592 2700 2880 3200 3240 3456 3600 4050 4320 4800 5184 5400 5521 5760 6480 7200 8100 8640 9600 10368 10800 11042 12960 14400 16200 16563 17280 21600 22084 25920 27605 28800 32400 33126 33809 43200 44168 49689 51840 55210 64800 66252 67618 82815 86400 88336 99378 101427 110420 129600 132504 135236 138025 149067 165630 169045 176672 198756 202854 220840 248445 259200 265008 270472 276050 298134 304281 331260 338090 353344 397512 405708 414075 441680 447201 496890 507135 530016 540944 552100 596268 608562 662520 676180 706688 745335 795024 811416 828150 845225 883360 894402 912843 993780 1014270 1060032 1081888 1104200 1192536 1217124 1242225 1325040 1352360 1490670 1521405 1590048 1622832 1656300 1690450 1766720 1788804 1825686 1987560 2028540 2120064 2163776 2208400 2236005 2385072 2434248 2484450 2535675 2650080 2704720 2738529 2981340 3042810 3180096 3245664 3312600 3380900 3533440 3577608 3651372 3726675 3975120 4057080 4327552 4416800 4472010 4564215 4770144 4868496 4968900 5071350 5300160 5409440 5477058 5962680 6085620 6360192 6491328 6625200 6761800 7155216 7302744 7453350 7607025 7950240 8114160 8833600 8944020 9128430 9540288 9736992 9937800 10142700 10600320 10818880 10954116 11180025 11925360 12171240 12982656 13250400 13523600 13692645 14310432 14605488 14906700 15214050 15900480 16228320 17667200 17888040 18256860 19080576 19473984 19875600 20285400 21637760 21908232 22360050 22821075 23850720 24342480 26500800 27047200 27385290 28620864 29210976 29813400 30428100 31800960 32456640 35776080 36513720 38947968 39751200 40570800 43816464 44720100 45642150 47701440 48684960 53001600 54094400 54770580 57241728 58421952 59626800 60856200 64913280 68463225 71552160 73027440 79502400 81141600 87632928 89440200 91284300 95402880 97369920 108188800 109541160 116843904 119253600 121712400 136926450 143104320 146054880 159004800 162283200 175265856 178880400 182568600 186659489 194739840 219082320 238507200 243424800 273852900 286208640 292109760 324566400 350531712 357760800 365137200 373318978 438164640 477014400 486849600 547705800 559978467 584219520 715521600 730274400 746637956 876329280 933297445 973699200 1095411600 1119956934 1431043200 1460548800 1493275912 1679935401 1752658560 1866594890 2190823200 2239913868 2799892335 2921097600 2986551824 3359870802 3733189780 4381646400 4479827736 4666487225 5039806203 5599784670 5973103648 6719741604 7466379560 8399677005 8763292800 8959655472 9332974450 10079612406 11199569340 11946207296 13439483208 13999461675 14932759120 15119418609 16799354010 17919310944 18665948900 20159224812 22399138680 23892414592 25199031015 26878966416 27998923350 29865518240 30238837218 33598708020 35838621888 37331897800 40318449624 41998385025 44798277360 50398062030 53757932832 55997846700 59731036480 60477674436 67197416040 71677243776 74663795600 75597093045 80636899248 83996770050 89596554720 100796124060 107515865664 111995693400 119462072960 120955348872 125995155075 134394832080 149327591200 151194186090 161273798496 167993540100 179193109440 201592248120 215031731328 223991386800 241910697744 251990310150 268789664160 298655182400 302388372180 322547596992 335987080200 358386218880 377985465225 403184496240 447982773600 483821395488 503980620300 537579328320 597310364800 604776744360 645095193984 671974160400 755970930450 806368992480 895965547200 967642790976 1007961240600 1075158656640 1209553488720 1343948320800 1511941860900 1612737984960 1791931094400 1935285581952 2015922481200 2419106977440 2687896641600 3023883721800 3225475969920 4031844962400 4838213954880 5375793283200 6047767443600 8063689924800 9676427909760 12095534887200 16127379849600 24191069774400 48382139548800
- Sum of all divisors σ(n): 178578354824100
- Sum of proper divisors (its aliquot sum) s(n): 130196215275300
- 48382139548800 is an abundant number, because the sum of its proper divisors (130196215275300) is greater than itself. Its abundance is 81814075726500
Bases of 48382139548800
- Binary: 10110000000000110110000011110111000100100000002
- Hexadecimal: 0x2C00D83DC480
- Base-36: H5EG4P400
Squares and roots of 48382139548800
- 48382139548800 squared (483821395488002) is 2340831427319557067581440000
- 48382139548800 cubed (483821395488003) is 113254432776791494775130542588854272000000
-
The
square root of 48382139548800 is 6955727.1042501371 -
The
cube root of 48382139548800 is 36438.6006074477
Scales and comparisons
How big is 48382139548800?- 48,382,139,548,800 seconds is equal to 1,538,402 years, 19 weeks, 6 days.
-
To count from 1 to 48,382,139,548,800 would take you about three million, eight hundred forty-six thousand and five 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 48382139548800 cubic inches would be around 3036.6 feet tall.
Recreational maths with 48382139548800
- 48382139548800 backwards is 00884593128384
- The number of decimal digits it has is: 14
- The sum of 48382139548800's digits is 63
- More coming soon!
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