138314761734240000
138,314,761,734,240,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138314761734240000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5400 divisors.
138314761734240000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 138314761734240000:
28 × 34 × 54 × 7 × 13 × 29 × 20112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 29 × 2011 × 2011)See below for interesting mathematical facts about the number 138314761734240000 from the Numbermatics database.
Names of 138314761734240000
- Cardinal: 138314761734240000 can be written as One hundred thirty-eight quadrillion, three hundred fourteen trillion, seven hundred sixty-one billion, seven hundred thirty-four million, two hundred forty thousand.
Scientific notation
- Scientific notation: 1.3831476173424 × 1017
Factors of 138314761734240000
Divisors of 138314761734240000
- Number of divisors d(n): 5400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 29 30 32 35 36 39 40 42 45 48 50 52 54 56 58 60 63 64 65 70 72 75 78 80 81 84 87 90 91 96 100 104 105 108 112 116 117 120 125 126 128 130 135 140 144 145 150 156 160 162 168 174 175 180 182 189 192 195 200 203 208 210 216 224 225 232 234 240 250 252 256 260 261 270 273 280 288 290 300 312 315 320 324 325 336 348 350 351 360 364 375 377 378 384 390 400 405 406 416 420 432 435 448 450 455 464 468 480 500 504 520 522 525 540 546 560 567 576 580 585 600 609 624 625 630 640 648 650 672 675 696 700 702 720 725 728 750 754 756 768 780 783 800 810 812 819 832 840 864 870 875 896 900 910 928 936 945 960 975 1000 1008 1015 1040 1044 1050 1053 1080 1092 1120 1125 1131 1134 1152 1160 1170 1200 1218 1248 1250 1260 1280 1296 1300 1305 1344 1350 1365 1392 1400 1404 1440 1450 1456 1500 1508 1512 1560 1566 1575 1600 1620 1624 1625 1638 1664 1680 1728 1740 1750 1755 1792 1800 1820 1827 1856 1872 1875 1885 1890 1920 1950 2000 2011 2016 2025 2030 2080 2088 2100 2106 2160 2175 2184 2240 2250 2262 2268 2275 2304 2320 2340 2349 2400 2436 2457 2496 2500 2520 2592 2600 2610 2625 2639 2688 2700 2730 2784 2800 2808 2835 2880 2900 2912 2925 3000 3016 3024 3045 3120 3132 3150 3200 3240 3248 3250 3276 3328 3360 3375 3393 3456 3480 3500 3510 3600 3625 3640 3654 3712 3744 3750 3770 3780 3840 3900 3915 4000 4022 4032 4050 4060 4095 4160 4176 4200 4212 4320 4350 4368 4375 4480 4500 4524 4536 4550 4640 4680 4698 4725 4800 4872 4875 4914 4992 5000 5040 5075 5184 5200 5220 5250 5265 5278 5376 5400 5460 5481 5568 5600 5616 5625 5655 5670 5760 5800 5824 5850 6000 6032 6033 6048 6090 6240 6264 6300 6400 6480 6496 6500 6525 6552 6720 6750 6786 6825 6912 6960 7000 7020 7200 7250 7280 7308 7371 7424 7488 7500 7540 7560 7800 7830 7875 7917 8000 8044 8064 8100 8120 8125 8190 8320 8352 8400 8424 8640 8700 8736 8750 8775 8960 9000 9048 9072 9100 9135 9280 9360 9396 9425 9450 9600 9744 9750 9828 9984 10000 10055 10080 10125 10150 10179 10368 10400 10440 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3293208612720000 3457869043356000 3546532352160000 3842076714840000 3951850335264000 4322336304195000 4610492057808000 4769474542560000 4939812919080000 5122768953120000 5319798528240000 5532590469369600 5763115072260000 6586417225440000 6915738086712000 7684153429680000 8644672608390000 9220984115616000 9879625838160000 10639597056480000 11526230144520000 13831476173424000 15368306859360000 17289345216780000 19759251676320000 23052460289040000 27662952346848000 34578690433560000 46104920578080000 69157380867120000 138314761734240000
- Sum of all divisors σ(n): 656503031780275680
- Sum of proper divisors (its aliquot sum) s(n): 518188270046035680
- 138314761734240000 is an abundant number, because the sum of its proper divisors (518188270046035680) is greater than itself. Its abundance is 379873508311795680
Bases of 138314761734240000
- Binary: 1111010110110010010001011000000000101110010110111000000002
- Hexadecimal: 0x1EB648B005CB700
- Base-36: 11TWHOCJ8W00
Squares and roots of 138314761734240000
- 138314761734240000 squared (1383147617342400002) is 19130973313599581772388377600000000
- 138314761734240000 cubed (1383147617342400003) is 2646096015614630048325211767480195969024000000000000
-
The
square root of 138314761734240000 is 371906926.1713742271 -
The
cube root of 138314761734240000 is 517157.5201947087
Scales and comparisons
How big is 138314761734240000?- 138,314,761,734,240,000 seconds is equal to 4,397,981,587 years, 26 weeks.
-
To count from 1 to 138,314,761,734,240,000 would take you about thirteen billion, one hundred ninety-three million, nine hundred forty-four thousand, seven hundred sixty-two 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 138314761734240000 cubic inches would be around 43096.5 feet tall.
Recreational maths with 138314761734240000
- 138314761734240000 backwards is 000042437167413831
- 138314761734240000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138314761734240000's digits is 54
- More coming soon!
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"Number 138314761734240000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 138314761734240000 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138314761734240000/
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Numbermatics. 2024. "Number 138314761734240000 - Facts about the integer". https://numbermatics.com/n/138314761734240000/
The information we have on file for 138314761734240000 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 138314761734240000, math, Factors of 138314761734240000, curriculum, school, college, exams, university, Prime factorization of 138314761734240000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred fourteen trillion, seven hundred sixty-one billion, seven hundred thirty-four million, two hundred forty thousand.