42381146880000
42,381,146,880,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42381146880000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
42381146880000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 42381146880000:
211 × 32 × 54 × 17 × 23 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 17 × 23 × 97 × 97)See below for interesting mathematical facts about the number 42381146880000 from the Numbermatics database.
Names of 42381146880000
- Cardinal: 42381146880000 can be written as Forty-two trillion, three hundred eighty-one billion, one hundred forty-six million, eight hundred eighty thousand.
Scientific notation
- Scientific notation: 4.238114688 × 1013
Factors of 42381146880000
Divisors of 42381146880000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 25 30 32 34 36 40 45 46 48 50 51 60 64 68 69 72 75 80 85 90 92 96 97 100 102 115 120 125 128 136 138 144 150 153 160 170 180 184 192 194 200 204 207 225 230 240 250 255 256 272 276 288 291 300 306 320 340 345 360 368 375 384 388 391 400 408 414 425 450 460 480 485 500 510 512 544 552 575 576 582 600 612 625 640 680 690 720 736 750 765 768 776 782 800 816 828 850 873 900 920 960 970 1000 1020 1024 1035 1088 1104 1125 1150 1152 1164 1173 1200 1224 1250 1275 1280 1360 1380 1440 1455 1472 1500 1530 1536 1552 1564 1600 1632 1649 1656 1700 1725 1746 1800 1840 1875 1920 1940 1955 2000 2040 2048 2070 2125 2176 2208 2231 2250 2300 2304 2328 2346 2400 2425 2448 2500 2550 2560 2720 2760 2875 2880 2910 2944 3000 3060 3072 3104 3128 3200 3264 3298 3312 3400 3450 3492 3519 3600 3680 3750 3825 3840 3880 3910 4000 4080 4140 4250 4352 4365 4416 4462 4500 4600 4608 4656 4692 4800 4850 4896 4947 5000 5100 5120 5175 5440 5520 5625 5750 5760 5820 5865 5888 6000 6120 6144 6208 6256 6375 6400 6528 6596 6624 6693 6800 6900 6984 7038 7200 7275 7360 7500 7650 7680 7760 7820 8000 8160 8245 8280 8500 8625 8704 8730 8832 8924 9000 9200 9216 9312 9384 9409 9600 9700 9775 9792 9894 10000 10200 10240 10350 10625 10880 11040 11155 11250 11500 11520 11640 11730 11776 12000 12125 12240 12416 12512 12750 12800 13056 13192 13248 13386 13600 13800 13968 14076 14375 14400 14550 14720 14841 15000 15300 15360 15520 15640 16000 16320 16490 16560 17000 17250 17408 17460 17595 17664 17848 18000 18400 18432 18624 18768 18818 19125 19200 19400 19550 19584 19788 20000 20079 20400 20700 21250 21760 21825 22080 22310 22500 23000 23040 23280 23460 23552 24000 24250 24480 24735 24832 25024 25500 25600 25875 26112 26384 26496 26772 27200 27600 27936 28152 28227 28750 28800 29100 29325 29440 29682 30000 30600 30720 31040 31280 31875 32000 32640 32980 33120 33465 34000 34500 34816 34920 35190 35328 35696 36000 36375 36800 37248 37536 37636 37927 38250 38400 38800 39100 39168 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132441084000 138500480000 141270489600 145639680000 147156760000 153554880000 155813040000 165551355000 166200576000 169524587520 176588112000 184265856000 188360652800 204739840000 207750720000 211905734400 218459520000 220735140000 230332320000 235450816000 249300864000 264882168000 277000960000 282540979200 294313520000 307109760000 311626080000 331102710000 339049175040 353176224000 368531712000 415501440000 423811468800 436919040000 441470280000 460664640000 470901632000 498601728000 529764336000 565081958400 588627040000 614219520000 623252160000 662205420000 706352448000 831002880000 847622937600 882940560000 921329280000 941803264000 1059528672000 1177254080000 1246504320000 1324410840000 1412704896000 1695245875200 1765881120000 1842658560000 2119057344000 2354508160000 2493008640000 2648821680000 2825409792000 3531762240000 4238114688000 4709016320000 5297643360000 7063524480000 8476229376000 10595286720000 14127048960000 21190573440000 42381146880000
- Sum of all divisors σ(n): 170755827081840
- Sum of proper divisors (its aliquot sum) s(n): 128374680201840
- 42381146880000 is an abundant number, because the sum of its proper divisors (128374680201840) is greater than itself. Its abundance is 85993533321840
Bases of 42381146880000
- Binary: 10011010001011101000010011010001111000000000002
- Hexadecimal: 0x268BA1347800
- Base-36: F0TMOLQ80
Squares and roots of 42381146880000
- 42381146880000 squared (423811468800002) is 1796161610864133734400000000
- 42381146880000 cubed (423811468800003) is 76123389050250255521569308672000000000000
-
The
square root of 42381146880000 is 6510080.4050334125 -
The
cube root of 42381146880000 is 34865.0989151533
Scales and comparisons
How big is 42381146880000?- 42,381,146,880,000 seconds is equal to 1,347,589 years, 19 weeks, 4 days, 8 hours.
-
To count from 1 to 42,381,146,880,000 would take you about three million, three hundred sixty-eight thousand, nine hundred seventy-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 42381146880000 cubic inches would be around 2905.4 feet tall.
Recreational maths with 42381146880000
- 42381146880000 backwards is 00008864118324
- 42381146880000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42381146880000's digits is 45
- More coming soon!
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"Number 42381146880000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 42381146880000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42381146880000/
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The information we have on file for 42381146880000 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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