42007191378048000000
42,007,191,378,048,000,000 is an even composite number composed of six prime numbers multiplied together.
42007191378048000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, nine hundred thirty-eight divisors.
Prime factorization of 42007191378048000000:
213 × 32 × 56 × 132 × 372 × 3972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 37 × 37 × 397 × 397)See below for interesting mathematical facts about the number 42007191378048000000 from the Numbermatics database.
Names of 42007191378048000000
- Cardinal: 42007191378048000000 can be written as Forty-two quintillion, seven quadrillion, one hundred ninety-one trillion, three hundred seventy-eight billion, forty-eight million.
Scientific notation
- Scientific notation: 4.2007191378048 × 1019
Factors of 42007191378048000000
Divisors of 42007191378048000000
- Number of divisors d(n): 7938
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 37 39 40 45 48 50 52 60 64 65 72 74 75 78 80 90 96 100 104 111 117 120 125 128 130 144 148 150 156 160 169 180 185 192 195 200 208 222 225 234 240 250 256 260 288 296 300 312 320 325 333 338 360 370 375 384 390 397 400 416 444 450 468 480 481 500 507 512 520 555 576 585 592 600 624 625 640 650 666 676 720 740 750 768 780 794 800 832 845 888 900 925 936 960 962 975 1000 1014 1024 1040 1110 1125 1152 1170 1184 1191 1200 1248 1250 1280 1300 1332 1352 1369 1440 1443 1480 1500 1521 1536 1560 1588 1600 1625 1664 1665 1690 1776 1800 1850 1872 1875 1920 1924 1950 1985 2000 2028 2048 2080 2220 2250 2304 2340 2368 2382 2400 2405 2496 2500 2535 2560 2600 2664 2704 2738 2775 2880 2886 2925 2960 3000 3042 3072 3120 3125 3176 3200 3250 3328 3330 3380 3552 3573 3600 3700 3744 3750 3840 3848 3900 3970 4000 4056 4096 4107 4160 4225 4329 4440 4500 4608 4625 4680 4736 4764 4800 4810 4875 4992 5000 5070 5120 5161 5200 5328 5408 5476 5550 5625 5760 5772 5850 5920 5955 6000 6084 6144 6240 6250 6253 6352 6400 6500 6656 6660 6760 6845 7104 7146 7200 7215 7400 7488 7500 7605 7680 7696 7800 7940 8000 8112 8125 8192 8214 8320 8325 8450 8658 8880 9000 9216 9250 9360 9375 9472 9528 9600 9620 9750 9925 9984 10000 10140 10240 10322 10400 10656 10816 10952 11100 11250 11520 11544 11700 11840 11910 12000 12025 12168 12288 12321 12480 12500 12506 12675 12704 12800 13000 13312 13320 13520 13690 13875 14208 14292 14400 14430 14625 14689 14800 14976 15000 15210 15360 15392 15483 15600 15625 15880 16000 16224 16250 16428 16640 16650 16900 17316 17760 17797 17865 18000 18432 18500 18720 18750 18759 18944 19056 19200 19240 19500 19850 19968 20000 20280 20480 20535 20644 20800 21125 21312 21632 21645 21904 22200 22500 23040 23088 23125 23400 23680 23820 24000 24050 24336 24375 24576 24642 24960 25000 25012 25350 25408 25600 25805 26000 26624 26640 27040 27380 27750 28125 28416 28584 28800 28860 29250 29378 29600 29775 29952 30000 30420 30720 30784 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7001198563008000000 8401438275609600000 10501797844512000000 14002397126016000000 21003595689024000000 42007191378048000000
- Sum of all divisors σ(n): 169232113456753475583
- Sum of proper divisors (its aliquot sum) s(n): 127224922078705475583
- 42007191378048000000 is an abundant number, because the sum of its proper divisors (127224922078705475583) is greater than itself. Its abundance is 85217730700657475583
Bases of 42007191378048000000
- Binary: 1001000110111101111000010111111110101001000110011100100000000000002
- Hexadecimal: 0x246F785FEA4672000
- Base-36: 8V5FMKDDH8U80
Squares and roots of 42007191378048000000
- 42007191378048000000 squared (420071913780480000002) is 1764604127471950229256290304000000000000
- 42007191378048000000 cubed (420071913780480000003) is 74126063289207621605378615021458100846592000000000000000000
-
The
square root of 42007191378048000000 is 6481295501.5218986697 -
The
cube root of 42007191378048000000 is 3476225.0258001831
Scales and comparisons
How big is 42007191378048000000?- 42,007,191,378,048,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,007,191,378,048,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 42007191378048000000 cubic inches would be around 289685.4 feet tall.
Recreational maths with 42007191378048000000
- 42007191378048000000 backwards is 00000084087319170024
- The number of decimal digits it has is: 20
- The sum of 42007191378048000000's digits is 54
- More coming soon!
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"Number 42007191378048000000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 42007191378048000000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/42007191378048000000/
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The information we have on file for 42007191378048000000 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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