138311429760000
138,311,429,760,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138311429760000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3300 divisors.
138311429760000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred divisors.
Prime factorization of 138311429760000:
210 × 32 × 54 × 74 × 73 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 73 × 137)See below for interesting mathematical facts about the number 138311429760000 from the Numbermatics database.
Names of 138311429760000
- Cardinal: 138311429760000 can be written as One hundred thirty-eight trillion, three hundred eleven billion, four hundred twenty-nine million, seven hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3831142976 × 1014
Factors of 138311429760000
Divisors of 138311429760000
- Number of divisors d(n): 3300
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 73 75 80 84 90 96 98 100 105 112 120 125 126 128 137 140 144 146 147 150 160 168 175 180 192 196 200 210 219 224 225 240 245 250 252 256 274 280 288 292 294 300 315 320 336 343 350 360 365 375 384 392 400 411 420 438 441 448 450 480 490 500 504 511 512 525 548 560 576 584 588 600 625 630 640 657 672 685 686 700 720 730 735 750 768 784 800 822 840 875 876 882 896 900 959 960 980 1000 1008 1022 1024 1029 1050 1095 1096 1120 1125 1152 1168 1176 1200 1225 1233 1250 1260 1280 1314 1344 1370 1372 1400 1440 1460 1470 1500 1533 1536 1568 1575 1600 1644 1680 1715 1750 1752 1764 1792 1800 1825 1875 1918 1920 1960 2000 2016 2044 2055 2058 2100 2190 2192 2205 2240 2250 2304 2336 2352 2400 2401 2450 2466 2500 2520 2555 2560 2625 2628 2688 2740 2744 2800 2877 2880 2920 2940 3000 3066 3072 3087 3136 3150 3200 3285 3288 3360 3425 3430 3500 3504 3528 3577 3584 3600 3650 3675 3750 3836 3840 3920 4000 4032 4088 4110 4116 4200 4375 4380 4384 4410 4480 4500 4599 4608 4672 4704 4795 4800 4802 4900 4932 5000 5040 5110 5120 5145 5250 5256 5376 5475 5480 5488 5600 5625 5754 5760 5840 5880 6000 6125 6132 6165 6174 6272 6300 6400 6570 6576 6713 6720 6850 6860 7000 7008 7056 7154 7168 7200 7203 7300 7350 7500 7665 7672 7680 7840 7875 8000 8064 8176 8220 8232 8400 8575 8631 8750 8760 8768 8820 8960 9000 9125 9198 9216 9344 9408 9590 9600 9604 9800 9864 10000 10001 10080 10220 10275 10290 10500 10512 10731 10752 10950 10960 10976 11025 11200 11250 11508 11520 11680 11760 12000 12005 12250 12264 12330 12348 12544 12600 12775 12800 13125 13140 13152 13426 13440 13700 13720 14000 14016 14112 14308 14385 14400 14406 14600 14700 15000 15330 15344 15360 15435 15680 15750 16000 16128 16352 16425 16440 16464 16800 17125 17150 17262 17500 17520 17536 17640 17885 17920 18000 18250 18375 18396 18688 18816 19180 19200 19208 19600 19728 20000 20002 20139 20160 20440 20550 20580 21000 21024 21462 21504 21609 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3951755136000 4322232180000 4610380992000 4939693920000 5532457190400 5762976240000 6586258560000 6915571488000 7683968320000 8644464360000 9220761984000 9879387840000 11525952480000 13831142976000 15367936640000 17288928720000 19758775680000 23051904960000 27662285952000 34577857440000 46103809920000 69155714880000 138311429760000
- Sum of all divisors σ(n): 594478488124092
- Sum of proper divisors (its aliquot sum) s(n): 456167058364092
- 138311429760000 is an abundant number, because the sum of its proper divisors (456167058364092) is greater than itself. Its abundance is 317855628604092
Bases of 138311429760000
- Binary: 111110111001011001000111010001110100100000000002
- Hexadecimal: 0x7DCB23A3A400
- Base-36: 1D0ZE66M80
Squares and roots of 138311429760000
- 138311429760000 squared (1383114297600002) is 19130051602255413657600000000
- 138311429760000 cubed (1383114297600003) is 2645904788490525103682887090176000000000000
-
The
square root of 138311429760000 is 11760587.9853007349 -
The
cube root of 138311429760000 is 51715.3367421833
Scales and comparisons
How big is 138311429760000?- 138,311,429,760,000 seconds is equal to 4,397,875 years, 33 weeks, 2 days, 8 hours.
-
To count from 1 to 138,311,429,760,000 would take you about ten million, nine hundred ninety-four thousand, six hundred eighty-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 138311429760000 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138311429760000
- 138311429760000 backwards is 000067924113831
- 138311429760000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138311429760000's digits is 45
- More coming soon!
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"Number 138311429760000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138311429760000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138311429760000/
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The information we have on file for 138311429760000 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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