138724463065789440
138,724,463,065,789,440 is an even composite number composed of five prime numbers multiplied together.
What does the number 138724463065789440 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2640 divisors.
138724463065789440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 138724463065789440:
210 × 34 × 5 × 75 × 2713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 271 × 271 × 271)See below for interesting mathematical facts about the number 138724463065789440 from the Numbermatics database.
Names of 138724463065789440
- Cardinal: 138724463065789440 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-four trillion, four hundred sixty-three billion, sixty-five million, seven hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3872446306578944 × 1017
Factors of 138724463065789440
Divisors of 138724463065789440
- Number of divisors d(n): 2640
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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 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 128 135 140 144 147 160 162 168 180 189 192 196 210 216 224 240 245 252 256 270 271 280 288 294 315 320 324 336 343 360 378 384 392 405 420 432 441 448 480 490 504 512 540 542 560 567 576 588 630 640 648 672 686 720 735 756 768 784 810 813 840 864 882 896 945 960 980 1008 1024 1029 1080 1084 1120 1134 1152 1176 1260 1280 1296 1323 1344 1355 1372 1440 1470 1512 1536 1568 1620 1626 1680 1715 1728 1764 1792 1890 1897 1920 1960 2016 2058 2160 2168 2205 2240 2268 2304 2352 2401 2439 2520 2560 2592 2646 2688 2710 2744 2835 2880 2940 3024 3072 3087 3136 3240 3252 3360 3430 3456 3528 3584 3780 3794 3840 3920 3969 4032 4065 4116 4320 4336 4410 4480 4536 4608 4704 4802 4878 5040 5120 5145 5184 5292 5376 5420 5488 5670 5691 5760 5880 6048 6174 6272 6480 6504 6615 6720 6860 6912 7056 7168 7203 7317 7560 7588 7680 7840 7938 8064 8130 8232 8640 8672 8820 8960 9072 9216 9261 9408 9485 9604 9756 10080 10290 10368 10584 10752 10840 10976 11340 11382 11520 11760 12005 12096 12195 12348 12544 12960 13008 13230 13279 13440 13720 13824 14112 14406 14634 15120 15176 15360 15435 15680 15876 16128 16260 16464 16807 17073 17280 17344 17640 17920 18144 18522 18816 18970 19208 19512 19845 20160 20580 20736 21168 21504 21609 21680 21951 21952 22680 22764 23040 23520 24010 24192 24390 24696 25088 25920 26016 26460 26558 26880 27440 27648 27783 28224 28455 28812 29268 30240 30352 30870 31360 31752 32256 32520 32928 33614 34146 34560 34688 35280 35840 36015 36288 36585 37044 37632 37940 38416 39024 39690 39837 40320 41160 41472 42336 43218 43360 43902 43904 45360 45528 46080 46305 47040 48020 48384 48780 49392 50176 50421 51219 51840 52032 52920 53116 53760 54880 55566 56448 56910 57624 58536 60480 60704 61740 62720 63504 64512 64827 65040 65856 66395 67228 68292 69120 69376 70560 72030 72576 73170 73441 74088 75264 75880 76832 78048 79380 79674 80640 82320 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1651481703164160 1712647692170240 1734055788322368 1926728653691520 1981778043796992 2167569735402960 2201975604218880 2312074384429824 2477222554746240 2568971538255360 2831111491138560 2890092980537280 3082765845906432 3302963406328320 3468111576644736 3853457307383040 3963556087593984 4335139470805920 4624148768859648 4954445109492480 5137943076510720 5780185961074560 6605926812656640 6936223153289472 7706914614766080 8670278941611840 9248297537719296 9908890218984960 11560371922149120 13872446306578944 15413829229532160 17340557883223680 19817780437969920 23120743844298240 27744892613157888 34681115766447360 46241487688596480 69362231532894720 138724463065789440
- Sum of all divisors σ(n): 582104773728935424
- Sum of proper divisors (its aliquot sum) s(n): 443380310663145984
- 138724463065789440 is an abundant number, because the sum of its proper divisors (443380310663145984) is greater than itself. Its abundance is 304655847597356544
Bases of 138724463065789440
- Binary: 1111011001101100100101010000001101011000101110100000000002
- Hexadecimal: 0x1ECD92A06B17400
- Base-36: 11XXPUJHVK00
Squares and roots of 138724463065789440
- 138724463065789440 squared (1387244630657894402) is 19244476652891578474469690415513600
- 138724463065789440 cubed (1387244630657894403) is 2669679690654504963179978341219786258606807056384000
-
The
square root of 138724463065789440 is 372457330.5303433547 -
The
cube root of 138724463065789440 is 517667.6399212097
Scales and comparisons
How big is 138724463065789440?- 138,724,463,065,789,440 seconds is equal to 4,411,008,822 years, 28 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 138,724,463,065,789,440 would take you about thirteen billion, two hundred thirty-three million, twenty-six thousand, four hundred sixty-seven 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 138724463065789440 cubic inches would be around 43139 feet tall.
Recreational maths with 138724463065789440
- 138724463065789440 backwards is 044987560364427831
- 138724463065789440 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138724463065789440's digits is 81
- More coming soon!
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"Number 138724463065789440 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138724463065789440 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138724463065789440/
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Numbermatics. 2024. "Number 138724463065789440 - Facts about the integer". https://numbermatics.com/n/138724463065789440/
The information we have on file for 138724463065789440 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 138724463065789440, math, Factors of 138724463065789440, curriculum, school, college, exams, university, Prime factorization of 138724463065789440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred twenty-four trillion, four hundred sixty-three billion, sixty-five million, seven hundred eighty-nine thousand, four hundred forty.