138288513126400000
138,288,513,126,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138288513126400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6912 divisors.
138288513126400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, nine hundred twelve divisors.
Prime factorization of 138288513126400000:
215 × 55 × 72 × 132 × 17 × 53 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 17 × 53 × 181)See below for interesting mathematical facts about the number 138288513126400000 from the Numbermatics database.
Names of 138288513126400000
- Cardinal: 138288513126400000 can be written as One hundred thirty-eight quadrillion, two hundred eighty-eight trillion, five hundred thirteen billion, one hundred twenty-six million, four hundred thousand.
Scientific notation
- Scientific notation: 1.382885131264 × 1017
Factors of 138288513126400000
Divisors of 138288513126400000
- Number of divisors d(n): 6912
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 49 50 52 53 56 64 65 68 70 80 85 91 98 100 104 106 112 119 125 128 130 136 140 160 169 170 175 181 182 196 200 208 212 221 224 238 245 250 256 260 265 272 280 320 325 338 340 350 362 364 371 392 400 416 424 425 442 448 455 476 490 500 512 520 530 544 560 595 625 637 640 650 676 680 689 700 724 728 742 784 800 832 833 845 848 850 875 884 896 901 905 910 952 980 1000 1024 1040 1060 1088 1105 1120 1183 1190 1225 1250 1267 1274 1280 1300 1325 1352 1360 1378 1400 1448 1456 1484 1547 1568 1600 1625 1664 1666 1690 1696 1700 1750 1768 1792 1802 1810 1820 1855 1904 1960 2000 2048 2080 2120 2125 2176 2210 2240 2275 2353 2366 2380 2450 2500 2534 2548 2560 2597 2600 2650 2704 2720 2756 2800 2873 2896 2912 2968 2975 3077 3094 3125 3136 3185 3200 3250 3328 3332 3380 3392 3400 3445 3500 3536 3584 3604 3620 3640 3710 3808 3920 4000 4096 4160 4165 4225 4240 4250 4352 4375 4420 4480 4505 4525 4550 4706 4732 4760 4823 4900 5000 5068 5096 5120 5194 5200 5300 5408 5440 5512 5525 5600 5746 5792 5824 5915 5936 5950 6125 6154 6188 6250 6272 6307 6335 6370 6400 6500 6625 6656 6664 6760 6784 6800 6890 7000 7072 7168 7208 7240 7280 7420 7616 7735 7840 8000 8125 8192 8281 8320 8330 8450 8480 8500 8704 8750 8840 8869 8957 8960 9010 9050 9100 9275 9412 9464 9520 9593 9646 9800 10000 10136 10192 10240 10388 10400 10600 10625 10816 10829 10880 11024 11050 11200 11375 11492 11584 11648 11713 11765 11830 11872 11900 12250 12308 12376 12500 12544 12614 12670 12740 12800 12985 13000 13250 13312 13328 13520 13568 13600 13780 14000 14144 14336 14365 14416 14480 14560 14840 14875 15232 15385 15470 15680 15925 16000 16250 16384 16471 16562 16640 16660 16900 16960 17000 17225 17408 17500 17680 17738 17914 17920 18020 18100 18200 18550 18824 18928 19040 19186 19292 19600 20000 20111 20272 20384 20480 20776 20800 20825 21125 21200 21250 21539 21632 21658 21760 21875 22048 22100 22400 22525 22625 22750 22984 23168 23296 23426 23530 23660 23744 23800 24115 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864303207040000 987775093760000 1016827302400000 1063757793280000 1080379008800000 1106308105011200 1162088345600000 1234718867200000 1304608614400000 1329697241600000 1382885131264000 1411107276800000 1519653990400000 1626923683840000 1728606414080000 1975550187520000 2033654604800000 2127515586560000 2160758017600000 2469437734400000 2609217228800000 2659394483200000 2765770262528000 2822214553600000 3457212828160000 3951100375040000 4067309209600000 4321516035200000 4938875468800000 5318788966400000 5531540525056000 6914425656320000 8134618419200000 8643032070400000 9877750937600000 10637577932800000 13828851312640000 17286064140800000 19755501875200000 27657702625280000 34572128281600000 69144256563200000 138288513126400000
- Sum of all divisors σ(n): 472355678898689040
- Sum of proper divisors (its aliquot sum) s(n): 334067165772289040
- 138288513126400000 is an abundant number, because the sum of its proper divisors (334067165772289040) is greater than itself. Its abundance is 195778652645889040
Bases of 138288513126400000
- Binary: 1111010110100110010101011100001010110101010000000000000002
- Hexadecimal: 0x1EB4CAB856A8000
- Base-36: 11TN6PWJUVWG
Squares and roots of 138288513126400000
- 138288513126400000 squared (1382885131264000002) is 19123712862710505102376960000000000
- 138288513126400000 cubed (1382885131264000003) is 2644589817240446205933230408800927744000000000000000
-
The
square root of 138288513126400000 is 371871635.2807780363 -
The
cube root of 138288513126400000 is 517124.8036970443
Scales and comparisons
How big is 138288513126400000?- 138,288,513,126,400,000 seconds is equal to 4,397,146,962 years, 50 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,288,513,126,400,000 would take you about thirteen billion, one hundred ninety-one million, four hundred forty thousand, eight hundred eighty-eight 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 138288513126400000 cubic inches would be around 43093.7 feet tall.
Recreational maths with 138288513126400000
- 138288513126400000 backwards is 000004621315882831
- 138288513126400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138288513126400000's digits is 52
- More coming soon!
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The information we have on file for 138288513126400000 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!
Keywords: Divisors of 138288513126400000, math, Factors of 138288513126400000, curriculum, school, college, exams, university, Prime factorization of 138288513126400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred eighty-eight trillion, five hundred thirteen billion, one hundred twenty-six million, four hundred thousand.