2138263142400
2,138,263,142,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 2138263142400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
2138263142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 2138263142400:
214 × 37 × 52 × 7 × 11 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 31)See below for interesting mathematical facts about the number 2138263142400 from the Numbermatics database.
Names of 2138263142400
- Cardinal: 2138263142400 can be written as Two trillion, one hundred thirty-eight billion, two hundred sixty-three million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.1382631424 × 1012
Factors of 2138263142400
Divisors of 2138263142400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 31 32 33 35 36 40 42 44 45 48 50 54 55 56 60 62 63 64 66 70 72 75 77 80 81 84 88 90 93 96 99 100 105 108 110 112 120 124 126 128 132 135 140 144 150 154 155 160 162 165 168 175 176 180 186 189 192 198 200 210 216 217 220 224 225 231 240 243 248 252 256 264 270 275 279 280 288 297 300 308 310 315 320 324 330 336 341 350 352 360 372 378 384 385 396 400 405 420 432 434 440 448 450 462 465 480 486 495 496 504 512 525 528 540 550 558 560 567 576 594 600 616 620 630 640 648 651 660 672 675 682 693 700 704 720 729 744 756 768 770 775 792 800 810 825 837 840 864 868 880 891 896 900 924 930 945 960 972 990 992 1008 1023 1024 1050 1056 1080 1085 1100 1116 1120 1134 1152 1155 1188 1200 1215 1232 1240 1260 1280 1296 1302 1320 1344 1350 1364 1386 1395 1400 1408 1440 1458 1485 1488 1512 1536 1540 1550 1575 1584 1600 1620 1650 1674 1680 1701 1705 1728 1736 1760 1782 1792 1800 1848 1860 1890 1920 1925 1944 1953 1980 1984 2016 2025 2046 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2227357440 2262712320 2299207680 2314137600 2375847936 2386454400 2399846400 2429844480 2463436800 2474841600 2545551360 2554675200 2591834112 2639831040 2672828928 2699827200 2759049216 2776965120 2784196800 2828390400 2874009600 2933145600 2969809920 3037305600 3054661632 3085516800 3135283200 3167797248 3181939200 3239792640 3284582400 3299788800 3341036160 3394068480 3448811520 3471206400 3563771904 3599769600 3712262400 3771187200 3818327040 3832012800 3887751168 3959746560 4049740800 4072882176 4176295200 4242585600 4311014400 4319723520 4399718400 4454714880 4598415360 4628275200 4751695872 4772908800 4859688960 4926873600 4949683200 5091102720 5279662080 5345657856 5399654400 5553930240 5568393600 5656780800 5748019200 5939619840 6074611200 6109323264 6270566400 6363878400 6479585280 6599577600 6682072320 6788136960 6897623040 6942412800 7127543808 7199539200 7424524800 7636654080 7664025600 7775502336 7919493120 8099481600 8352590400 8485171200 8622028800 8799436800 8909429760 9256550400 9503391744 9545817600 9719377920 9853747200 9899366400 10182205440 10691315712 10799308800 11136787200 11313561600 11496038400 11879239680 12149222400 12218646528 12727756800 12959170560 13199155200 13364144640 13795246080 13884825600 14255087616 14849049600 15273308160 15838986240 16198963200 16705180800 16970342400 17244057600 17818859520 19091635200 19438755840 19798732800 20364410880 21382631424 21598617600 22273574400 22992076800 23758479360 24298444800 25455513600 26398310400 26728289280 27769651200 28510175232 29698099200 30546616320 32397926400 33410361600 33940684800 34488115200 35637719040 38183270400 38877511680 39597465600 42765262848 44547148800 47516958720 48596889600 50911027200 53456578560 59396198400 61093232640 64795852800 66820723200 68976230400 71275438080 76366540800 79194931200 85530525696 89094297600 97193779200 101822054400 106913157120 118792396800 133641446400 142550876160 152733081600 178188595200 194387558400 213826314240 237584793600 267282892800 305466163200 356377190400 427652628480 534565785600 712754380800 1069131571200 2138263142400
- Sum of all divisors σ(n): 10235131576320
- Sum of proper divisors (its aliquot sum) s(n): 8096868433920
- 2138263142400 is an abundant number, because the sum of its proper divisors (8096868433920) is greater than itself. Its abundance is 5958605291520
Bases of 2138263142400
- Binary: 111110001110110100110101001000000000000002
- Hexadecimal: 0x1F1DA6A4000
- Base-36: RAAYO000
Squares and roots of 2138263142400
- 2138263142400 squared (21382631424002) is 4572169266146322677760000
- 2138263142400 cubed (21382631424003) is 9776501022614737867151480193024000000
-
The
square root of 2138263142400 is 1462280.1176245267 -
The
cube root of 2138263142400 is 12883.1001629165
Scales and comparisons
How big is 2138263142400?- 2,138,263,142,400 seconds is equal to 67,990 years, 8 weeks.
-
To count from 1 to 2,138,263,142,400 would take you about one hundred sixty-nine thousand, nine hundred seventy-five 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 2138263142400 cubic inches would be around 1073.6 feet tall.
Recreational maths with 2138263142400
- 2138263142400 backwards is 0042413628312
- 2138263142400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2138263142400's digits is 36
- More coming soon!
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"Number 2138263142400 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 2138263142400 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/2138263142400/
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The information we have on file for 2138263142400 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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