138024857590400000
138,024,857,590,400,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138024857590400000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1584 divisors.
138024857590400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 138024857590400000:
210 × 55 × 113 × 23 × 11872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 23 × 1187 × 1187)See below for interesting mathematical facts about the number 138024857590400000 from the Numbermatics database.
Names of 138024857590400000
- Cardinal: 138024857590400000 can be written as One hundred thirty-eight quadrillion, twenty-four trillion, eight hundred fifty-seven billion, five hundred ninety million, four hundred thousand.
Scientific notation
- Scientific notation: 1.380248575904 × 1017
Factors of 138024857590400000
Divisors of 138024857590400000
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 121 125 128 160 176 184 200 220 230 242 250 253 256 275 320 352 368 400 440 460 484 500 506 512 550 575 605 625 640 704 736 800 880 920 968 1000 1012 1024 1100 1150 1187 1210 1250 1265 1280 1331 1375 1408 1472 1600 1760 1840 1936 2000 2024 2200 2300 2374 2420 2500 2530 2560 2662 2750 2783 2816 2875 2944 3025 3125 3200 3520 3680 3872 4000 4048 4400 4600 4748 4840 5000 5060 5120 5324 5500 5566 5632 5750 5888 5935 6050 6250 6325 6400 6655 6875 7040 7360 7744 8000 8096 8800 9200 9496 9680 10000 10120 10648 11000 11132 11264 11500 11776 11870 12100 12500 12650 12800 13057 13310 13750 13915 14080 14375 14720 15125 15488 16000 16192 17600 18400 18992 19360 20000 20240 21296 22000 22264 23000 23552 23740 24200 25000 25300 25600 26114 26620 27301 27500 27830 28160 28750 29440 29675 30250 30613 30976 31625 32000 32384 33275 34375 35200 36800 37984 38720 40000 40480 42592 44000 44528 46000 47480 48400 50000 50600 52228 53240 54602 55000 55660 56320 57500 58880 59350 60500 61226 61952 63250 64000 64768 65285 66550 68750 69575 70400 71875 73600 75625 75968 77440 80000 80960 85184 88000 89056 92000 94960 96800 100000 101200 104456 106480 109204 110000 111320 115000 117760 118700 121000 122452 123904 126500 128000 129536 130570 133100 136505 137500 139150 140800 143627 143750 147200 148375 151250 151936 153065 154880 158125 160000 161920 166375 170368 176000 178112 184000 189920 193600 200000 202400 208912 212960 218408 220000 222640 230000 237400 242000 244904 253000 259072 261140 266200 273010 275000 278300 281600 287254 287500 294400 296750 300311 302500 303872 306130 309760 316250 320000 323840 326425 332750 340736 347875 352000 356224 368000 378125 379840 387200 400000 404800 417824 425920 436816 440000 445280 460000 474800 484000 489808 506000 522280 532400 546020 550000 556600 574508 575000 588800 593500 600622 605000 607744 612260 619520 632500 640000 647680 652850 665500 681472 682525 695750 704000 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142587662800000 150027019120000 156846429080000 172531071988000 187533773900000 196058036350000 215663839985000 220839772144640 228140260480000 240043230592000 250954286528000 269579799981250 272776398400000 276049715180800 285175325600000 300054038240000 313692858160000 345062143976000 375067547800000 392116072700000 431327679970000 501908573056000 539159599962500 545552796800000 552099430361600 570350651200000 600108076480000 627385716320000 690124287952000 750135095600000 784232145400000 862655359940000 1078319199925000 1104198860723200 1140701302400000 1200216152960000 1254771432640000 1380248575904000 1500270191200000 1568464290800000 1725310719880000 2156638399850000 2509542865280000 2760497151808000 3000540382400000 3136928581600000 3450621439760000 4313276799700000 5520994303616000 6001080764800000 6273857163200000 6901242879520000 8626553599400000 12547714326400000 13802485759040000 17253107198800000 27604971518080000 34506214397600000 69012428795200000 138024857590400000
- Sum of all divisors σ(n): 396159310949076864
- Sum of proper divisors (its aliquot sum) s(n): 258134453358676864
- 138024857590400000 is an abundant number, because the sum of its proper divisors (258134453358676864) is greater than itself. Its abundance is 120109595768276864
Bases of 138024857590400000
- Binary: 1111010100101110011100000011011101101100110000100000000002
- Hexadecimal: 0x1EA5CE06ED98400
- Base-36: 11R1Q8813VNK
Squares and roots of 138024857590400000
- 138024857590400000 squared (1380248575904000002) is 19050861312850200494172160000000000
- 138024857590400000 cubed (1380248575904000003) is 2629492419680609704736200089140363264000000000000000
-
The
square root of 138024857590400000 is 371516968.1056304057 -
The
cube root of 138024857590400000 is 516795.9512258409
Scales and comparisons
How big is 138024857590400000?- 138,024,857,590,400,000 seconds is equal to 4,388,763,532 years, 23 weeks, 5 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,024,857,590,400,000 would take you about thirteen billion, one hundred sixty-six million, two hundred ninety thousand, five hundred ninety-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 138024857590400000 cubic inches would be around 43066.3 feet tall.
Recreational maths with 138024857590400000
- 138024857590400000 backwards is 000004095758420831
- The number of decimal digits it has is: 18
- The sum of 138024857590400000's digits is 56
- More coming soon!
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The information we have on file for 138024857590400000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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