138835071014400000
138,835,071,014,400,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138835071014400000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 5616 divisors.
138835071014400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand, six hundred sixteen divisors.
Prime factorization of 138835071014400000:
212 × 37 × 55 × 172 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 17 × 17 × 131 × 131)See below for interesting mathematical facts about the number 138835071014400000 from the Numbermatics database.
Names of 138835071014400000
- Cardinal: 138835071014400000 can be written as One hundred thirty-eight quadrillion, eight hundred thirty-five trillion, seventy-one billion, fourteen million, four hundred thousand.
Scientific notation
- Scientific notation: 1.388350710144 × 1017
Factors of 138835071014400000
Divisors of 138835071014400000
- Number of divisors d(n): 5616
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 125 128 131 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 243 250 255 256 262 270 272 288 289 300 306 320 324 340 360 375 384 393 400 405 408 425 432 450 459 480 486 500 510 512 524 540 544 576 578 600 612 625 640 648 655 675 680 720 729 750 765 768 786 800 810 816 850 864 867 900 918 960 972 1000 1020 1024 1048 1080 1088 1125 1152 1156 1179 1200 1215 1224 1250 1275 1280 1296 1310 1350 1360 1377 1440 1445 1458 1500 1530 1536 1572 1600 1620 1632 1700 1728 1734 1800 1836 1875 1920 1944 1965 2000 2025 2040 2048 2096 2125 2160 2176 2187 2227 2250 2295 2304 2312 2358 2400 2430 2448 2500 2550 2560 2592 2601 2620 2700 2720 2754 2880 2890 2916 3000 3060 3072 3125 3144 3200 3240 3264 3275 3375 3400 3456 3468 3537 3600 3645 3672 3750 3825 3840 3888 3930 4000 4050 4080 4096 4131 4192 4250 4320 4335 4352 4374 4454 4500 4590 4608 4624 4716 4800 4860 4896 5000 5100 5120 5184 5202 5240 5400 5440 5508 5625 5760 5780 5832 5895 6000 6075 6120 6144 6250 6288 6375 6400 6480 6528 6550 6681 6750 6800 6885 6912 6936 7074 7200 7225 7290 7344 7500 7650 7680 7776 7803 7860 8000 8100 8160 8262 8384 8500 8640 8670 8704 8748 8908 9000 9180 9216 9248 9375 9432 9600 9720 9792 9825 10000 10125 10200 10240 10368 10404 10480 10611 10625 10800 10880 10935 11016 11135 11250 11475 11520 11560 11664 11790 12000 12150 12240 12288 12393 12500 12576 12750 12800 12960 13005 13056 13100 13362 13500 13600 13770 13824 13872 14148 14400 14450 14580 14688 15000 15300 15360 15552 15606 15720 16000 16200 16320 16375 16524 16768 16875 17000 17161 17280 17340 17408 17496 17685 17816 18000 18225 18360 18432 18496 18750 18864 19125 19200 19440 19584 19650 20000 20043 20250 20400 20480 20655 20736 20808 20960 21222 21250 21600 21675 21760 21870 22032 22270 22500 22950 23040 23120 23328 23409 23580 24000 24300 24480 24786 25000 25152 25500 25600 25920 26010 26112 26200 26724 27000 27200 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1388350710144000 1446198656400000 1542611900160000 1633353776640000 1714013222400000 1735438387680000 1851134280192000 1928264875200000 2041692220800000 2169297984600000 2313917850240000 2571019833600000 2722256294400000 2776701420288000 2892397312800000 3085223800320000 3470876775360000 3856529750400000 4083384441600000 4338595969200000 4627835700480000 5142039667200000 5553402840576000 5784794625600000 6941753550720000 7713059500800000 8166768883200000 8677191938400000 9255671400960000 11569589251200000 13883507101440000 15426119001600000 17354383876800000 23139178502400000 27767014202880000 34708767753600000 46278357004800000 69417535507200000 138835071014400000
- Sum of all divisors σ(n): 557123817818846880
- Sum of proper divisors (its aliquot sum) s(n): 418288746804446880
- 138835071014400000 is an abundant number, because the sum of its proper divisors (418288746804446880) is greater than itself. Its abundance is 279453675790046880
Bases of 138835071014400000
- Binary: 1111011010011110111000010111100100010110111110000000000002
- Hexadecimal: 0x1ED3DC2F22DF000
- Base-36: 11Z0XB4QO000
Squares and roots of 138835071014400000
- 138835071014400000 squared (1388350710144000002) is 19275176943573491045007360000000000
- 138835071014400000 cubed (1388350710144000003) is 2676070559776151170938919292170665984000000000000000
-
The
square root of 138835071014400000 is 372605784.9985692319 -
The
cube root of 138835071014400000 is 517805.1858244893
Scales and comparisons
How big is 138835071014400000?- 138,835,071,014,400,000 seconds is equal to 4,414,525,813 years, 9 weeks, 5 days.
-
To count from 1 to 138,835,071,014,400,000 would take you about thirteen billion, two hundred forty-three million, five hundred seventy-seven thousand, four hundred thirty-nine 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 138835071014400000 cubic inches would be around 43150.4 feet tall.
Recreational maths with 138835071014400000
- 138835071014400000 backwards is 000004410170538831
- 138835071014400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138835071014400000's digits is 45
- More coming soon!
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"Number 138835071014400000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138835071014400000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138835071014400000/
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The information we have on file for 138835071014400000 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 138835071014400000, math, Factors of 138835071014400000, curriculum, school, college, exams, university, Prime factorization of 138835071014400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred thirty-five trillion, seventy-one billion, fourteen million, four hundred thousand.