1293048142848000
1,293,048,142,848,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 1293048142848000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5040 divisors.
1293048142848000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand and forty divisors.
Prime factorization of 1293048142848000:
213 × 32 × 53 × 7 × 114 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 11 × 37 × 37)See below for interesting mathematical facts about the number 1293048142848000 from the Numbermatics database.
Names of 1293048142848000
- Cardinal: 1293048142848000 can be written as One quadrillion, two hundred ninety-three trillion, forty-eight billion, one hundred forty-two million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.293048142848 × 1015
Factors of 1293048142848000
Divisors of 1293048142848000
- Number of divisors d(n): 5040
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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 28 30 32 33 35 36 37 40 42 44 45 48 50 55 56 60 63 64 66 70 72 74 75 77 80 84 88 90 96 99 100 105 110 111 112 120 121 125 126 128 132 140 144 148 150 154 160 165 168 175 176 180 185 192 198 200 210 220 222 224 225 231 240 242 250 252 256 259 264 275 280 288 296 300 308 315 320 330 333 336 350 352 360 363 370 375 384 385 396 400 407 420 440 444 448 450 462 480 484 495 500 504 512 518 525 528 550 555 560 576 592 600 605 616 630 640 660 666 672 693 700 704 720 726 740 750 768 770 777 792 800 814 825 840 847 875 880 888 896 900 924 925 960 968 990 1000 1008 1024 1036 1050 1056 1089 1100 1110 1120 1125 1152 1155 1184 1200 1210 1221 1232 1260 1280 1295 1320 1331 1332 1344 1369 1375 1386 1400 1408 1440 1452 1480 1500 1536 1540 1554 1575 1584 1600 1628 1650 1665 1680 1694 1750 1760 1776 1792 1800 1815 1848 1850 1920 1925 1936 1980 2000 2016 2035 2048 2072 2100 2112 2178 2200 2220 2240 2250 2304 2310 2331 2368 2400 2420 2442 2464 2475 2520 2541 2560 2590 2625 2640 2662 2664 2688 2738 2750 2772 2775 2800 2816 2849 2880 2904 2960 3000 3025 3072 3080 3108 3150 3168 3200 3256 3300 3330 3360 3388 3465 3500 3520 3552 3584 3600 3630 3663 3696 3700 3840 3850 3872 3885 3960 3993 4000 4032 4070 4096 4107 4125 4144 4200 4224 4235 4356 4400 4440 4477 4480 4500 4608 4620 4625 4662 4736 4800 4840 4884 4928 4950 5040 5082 5120 5180 5250 5280 5324 5328 5376 5445 5476 5500 5544 5550 5600 5632 5698 5760 5775 5808 5920 6000 6050 6105 6144 6160 6216 6300 6336 6400 6475 6512 6600 6655 6660 6720 6776 6845 6930 7000 7040 7104 7168 7200 7260 7326 7392 7400 7623 7680 7700 7744 7770 7875 7920 7986 8000 8064 8140 8192 8214 8250 8288 8325 8400 8448 8470 8547 8712 8800 8880 8954 8960 9000 9075 9216 9240 9250 9317 9324 9472 9583 9600 9625 9680 9768 9856 9900 10080 10164 10175 10240 10360 10500 10560 10648 10656 10752 10890 10952 11000 11088 11100 11200 11264 11396 11520 11550 11616 11655 11840 11979 12000 12100 12210 12288 12320 12321 12375 12432 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16163101785600 16792833024000 17240641904640 17473623552000 17959001984000 18472116326400 19591638528000 20203877232000 20524573696000 21550802380800 23090145408000 23509966233600 25860962856960 26938502976000 28734403174400 29387457792000 30786860544000 32326203571200 34947247104000 35918003968000 36944232652800 39183277056000 40407754464000 43101604761600 46180290816000 51721925713920 53877005952000 58774915584000 61573721088000 64652407142400 71836007936000 80815508928000 86203209523200 92360581632000 107754011904000 117549831168000 129304814284800 143672015872000 161631017856000 184721163264000 215508023808000 258609628569600 323262035712000 431016047616000 646524071424000 1293048142848000
- Sum of all divisors σ(n): 6022907530305120
- Sum of proper divisors (its aliquot sum) s(n): 4729859387457120
- 1293048142848000 is an abundant number, because the sum of its proper divisors (4729859387457120) is greater than itself. Its abundance is 3436811244609120
Bases of 1293048142848000
- Binary: 1001001100000000101001110110011101101100000000000002
- Hexadecimal: 0x498053B3B6000
- Base-36: CQCI46QKG0
Squares and roots of 1293048142848000
- 1293048142848000 squared (12930481428480002) is 1671973499722661813551104000000
- 1293048142848000 cubed (12930481428480003) is 2161942228707458901071422667140104192000000000
-
The
square root of 1293048142848000 is 35958978.6124133397 -
The
cube root of 1293048142848000 is 108944.3967125565
Scales and comparisons
How big is 1293048142848000?- 1,293,048,142,848,000 seconds is equal to 41,114,931 years, 14 weeks, 4 days, 16 hours.
-
To count from 1 to 1,293,048,142,848,000 would take you about one hundred twenty-three million, three hundred forty-four thousand, seven hundred ninety-three 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 1293048142848000 cubic inches would be around 9078.7 feet tall.
Recreational maths with 1293048142848000
- 1293048142848000 backwards is 0008482418403921
- The number of decimal digits it has is: 16
- The sum of 1293048142848000's digits is 54
- More coming soon!
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"Number 1293048142848000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 1293048142848000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/1293048142848000/
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The information we have on file for 1293048142848000 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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