138548385808000
138,548,385,808,000 is an even composite number composed of five prime numbers multiplied together.
138548385808000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138548385808000:
27 × 53 × 7 × 31 × 63172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 31 × 6317 × 6317)See below for interesting mathematical facts about the number 138548385808000 from the Numbermatics database.
Names of 138548385808000
- Cardinal: 138548385808000 can be written as One hundred thirty-eight trillion, five hundred forty-eight billion, three hundred eighty-five million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 1.38548385808 × 1014
Factors of 138548385808000
Divisors of 138548385808000
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 125 128 140 155 160 175 200 217 224 248 250 280 310 320 350 400 434 448 496 500 560 620 640 700 775 800 868 875 896 992 1000 1085 1120 1240 1400 1550 1600 1736 1750 1984 2000 2170 2240 2480 2800 3100 3200 3472 3500 3875 3968 4000 4340 4480 4960 5425 5600 6200 6317 6944 7000 7750 8000 8680 9920 10850 11200 12400 12634 13888 14000 15500 16000 17360 19840 21700 22400 24800 25268 27125 27776 28000 31000 31585 34720 43400 44219 49600 50536 54250 56000 62000 63170 69440 86800 88438 99200 101072 108500 112000 124000 126340 138880 157925 173600 176876 195827 202144 217000 221095 248000 252680 315850 347200 353752 391654 404288 434000 442190 496000 505360 631700 694400 707504 783308 789625 808576 868000 884380 979135 1010720 1105475 1263400 1370789 1415008 1566616 1579250 1736000 1768760 1958270 2021440 2210950 2526800 2741578 2830016 3133232 3158500 3472000 3537520 3916540 4042880 4421900 4895675 5053600 5483156 5527375 5660032 6266464 6317000 6853945 7075040 7833080 8843800 9791350 10107200 10966312 11054750 12532928 12634000 13707890 14150080 15666160 17687600 19582700 20214400 21932624 22109500 24478375 25065856 25268000 27415780 28300160 31332320 34269725 35375200 39165400 39904489 43865248 44219000 48956750 50536000 54831560 62664640 68539450 70750400 78330800 79808978 87730496 88438000 97913500 101072000 109663120 125329280 137078900 141500800 156661600 159617956 171348625 175460992 176876000 195827000 199522445 219326240 274157800 279331423 313323200 319235912 342697250 353752000 391654000 399044890 438652480 548315600 558662846 626646400 638471824 685394500 707504000 783308000 798089780 877304960 997612225 1096631200 1117325692 1237039159 1276943648 1370789000 1396657115 1566616000 1596179560 1995224450 2193262400 2234651384 2474078318 2553887296 2741578000 2793314230 3133232000 3192359120 3990448900 4386524800 4469302768 4948156636 4988061125 5107774592 5483156000 5586628460 6185195795 6384718240 6983285575 7980897800 8659274113 8938605536 9896313272 9976122250 10966312000 11173256920 12370391590 12769436480 13966571150 15961795600 17318548226 17877211072 19792626544 19952244500 21932624000 22346513840 24740783180 25538872960 27933142300 30925978975 31923591200 34637096452 34916427875 35754422144 39585253088 39904489000 43296370565 44693027680 49481566360 55866284600 61851957950 63847182400 69274192904 69832855750 79170506176 79808978000 86592741130 89386055360 98963132720 111732569200 123703915900 127694364800 138548385808 139665711500 154629894875 158341012352 159617956000 173185482260 178772110720 197926265440 216481852825 223465138400 247407831800 277096771616 279331423000 309259789750 319235912000 346370964520 395852530880 432963705650 446930276800 494815663600 554193543232 558662846000 618519579500 638471824000 692741929040 791705061760 865927411300 893860553600 989631327200 1082409264125 1108387086464 1117325692000 1237039159000 1385483858080 1731854822600 1979262654400 2164818528250 2234651384000 2474078318000 2770967716160 3463709645200 3958525308800 4329637056500 4469302768000 4948156636000 5541935432320 6927419290400 8659274113000 9896313272000 13854838580800 17318548226000 19792626544000 27709677161600 34637096452000 69274192904000 138548385808000
- Sum of all divisors σ(n): 406438887029760
- Sum of proper divisors (its aliquot sum) s(n): 267890501221760
- 138548385808000 is an abundant number, because the sum of its proper divisors (267890501221760) is greater than itself. Its abundance is 129342115413760
Bases of 138548385808000
- Binary: 111111000000010010011110101000111111110100000002
- Hexadecimal: 0x7E024F51FE80
- Base-36: 1D408ZP30G
Squares and roots of 138548385808000
- 138548385808000 squared (1385483858080002) is 19195655210002415812864000000
- 138548385808000 cubed (1385483858080003) is 2659527043872759966652721401434112000000000
-
The
square root of 138548385808000 is 11770657.8324238107 -
The
cube root of 138548385808000 is 51744.8529107855
Scales and comparisons
How big is 138548385808000?- 138,548,385,808,000 seconds is equal to 4,405,410 years, 5 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,548,385,808,000 would take you about eleven million, thirteen thousand, five hundred twenty-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 138548385808000 cubic inches would be around 4312.1 feet tall.
Recreational maths with 138548385808000
- 138548385808000 backwards is 000808583845831
- The number of decimal digits it has is: 15
- The sum of 138548385808000's digits is 61
- More coming soon!
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