138439264112640000
138,439,264,112,640,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138439264112640000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 6400 divisors.
138439264112640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six thousand, four hundred divisors.
Prime factorization of 138439264112640000:
215 × 34 × 54 × 193 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 19 × 19 × 23 × 23 × 23)See below for interesting mathematical facts about the number 138439264112640000 from the Numbermatics database.
Names of 138439264112640000
- Cardinal: 138439264112640000 can be written as One hundred thirty-eight quadrillion, four hundred thirty-nine trillion, two hundred sixty-four billion, one hundred twelve million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3843926411264 × 1017
Factors of 138439264112640000
Divisors of 138439264112640000
- Number of divisors d(n): 6400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 27 30 32 36 38 40 45 46 48 50 54 57 60 64 69 72 75 76 80 81 90 92 95 96 100 108 114 115 120 125 128 135 138 144 150 152 160 162 171 180 184 190 192 200 207 216 225 228 230 240 250 256 270 276 285 288 300 304 320 324 342 345 360 361 368 375 380 384 400 405 414 432 437 450 456 460 475 480 500 512 513 529 540 552 570 575 576 600 608 621 625 640 648 675 684 690 720 722 736 750 760 768 800 810 828 855 864 874 900 912 920 950 960 1000 1024 1026 1035 1058 1080 1083 1104 1125 1140 1150 1152 1200 1216 1242 1250 1280 1296 1311 1350 1368 1380 1425 1440 1444 1472 1500 1520 1536 1539 1587 1600 1620 1656 1710 1725 1728 1748 1800 1805 1824 1840 1863 1875 1900 1920 2000 2025 2048 2052 2070 2116 2160 2166 2185 2208 2250 2280 2300 2304 2375 2400 2432 2484 2500 2560 2565 2592 2622 2645 2700 2736 2760 2850 2875 2880 2888 2944 3000 3040 3072 3078 3105 3174 3200 3240 3249 3312 3375 3420 3450 3456 3496 3600 3610 3648 3680 3726 3750 3800 3840 3933 4000 4050 4096 4104 4140 4232 4275 4320 4332 4370 4416 4500 4560 4600 4608 4750 4761 4800 4864 4968 5000 5120 5130 5175 5184 5244 5290 5400 5415 5472 5520 5625 5700 5750 5760 5776 5888 6000 6080 6144 6156 6210 6348 6400 6480 6498 6555 6624 6750 6840 6859 6900 6912 6992 7125 7200 7220 7296 7360 7452 7500 7600 7680 7695 7866 7935 8000 8100 8192 8208 8280 8303 8464 8550 8625 8640 8664 8740 8832 9000 9025 9120 9200 9216 9315 9500 9522 9600 9728 9747 9936 10000 10051 10125 10240 10260 10350 10368 10488 10580 10800 10830 10925 10944 11040 11250 11400 11500 11520 11552 11776 11799 11875 12000 12160 12167 12288 12312 12420 12696 12800 12825 12960 12996 13110 13225 13248 13500 13680 13718 13800 13824 13984 14250 14283 14375 14400 14440 14592 14720 14904 15000 15200 15360 15390 15525 15732 15870 16000 16200 16245 16384 16416 16560 16606 16875 16928 17100 17250 17280 17328 17480 17664 18000 18050 18240 18400 18432 18630 19000 19044 19200 19456 19494 19665 19872 20000 20102 20250 20480 20520 20577 20700 20736 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2006366146560000 2163113501760000 2307321068544000 2428759019520000 2563690076160000 2768785282252800 2884151335680000 3009549219840000 3076428091392000 3460981602816000 3643138529280000 3845535114240000 4326227003520000 4614642137088000 5127380152320000 5537570564505600 5768302671360000 6019098439680000 6921963205632000 7286277058560000 7691070228480000 8652454007040000 9229284274176000 11536605342720000 13843926411264000 15382140456960000 17304908014080000 23073210685440000 27687852822528000 34609816028160000 46146421370880000 69219632056320000 138439264112640000
- Sum of all divisors σ(n): 570342041037648000
- Sum of proper divisors (its aliquot sum) s(n): 431902776925008000
- 138439264112640000 is an abundant number, because the sum of its proper divisors (431902776925008000) is greater than itself. Its abundance is 293463512812368000
Bases of 138439264112640000
- Binary: 1111010111101010111000110111110000110011010000000000000002
- Hexadecimal: 0x1EBD5C6F8668000
- Base-36: 11V4MFY8SG00
Squares and roots of 138439264112640000
- 138439264112640000 squared (1384392641126400002) is 19165429848049293406607769600000000
- 138439264112640000 cubed (1384392641126400003) is 2653248004566370033015104769425873567744000000000000
-
The
square root of 138439264112640000 is 372074272.3068070451 -
The
cube root of 138439264112640000 is 517312.6447115593
Scales and comparisons
How big is 138439264112640000?- 138,439,264,112,640,000 seconds is equal to 4,401,940,378 years, 1 week, 1 day.
-
To count from 1 to 138,439,264,112,640,000 would take you about thirteen billion, two hundred five million, eight hundred twenty-one thousand, one hundred thirty-four 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 138439264112640000 cubic inches would be around 43109.4 feet tall.
Recreational maths with 138439264112640000
- 138439264112640000 backwards is 000046211462934831
- 138439264112640000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138439264112640000's digits is 54
- More coming soon!
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"Number 138439264112640000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138439264112640000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138439264112640000/
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The information we have on file for 138439264112640000 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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