54142396704000
54,142,396,704,000 is an even composite number composed of six prime numbers multiplied together.
54142396704000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 54142396704000:
28 × 33 × 53 × 113 × 232 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 23 × 23 × 89)See below for interesting mathematical facts about the number 54142396704000 from the Numbermatics database.
Names of 54142396704000
- Cardinal: 54142396704000 can be written as Fifty-four trillion, one hundred forty-two billion, three hundred ninety-six million, seven hundred four thousand.
Scientific notation
- Scientific notation: 5.4142396704 × 1013
Factors of 54142396704000
Divisors of 54142396704000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 32 33 36 40 44 45 46 48 50 54 55 60 64 66 69 72 75 80 88 89 90 92 96 99 100 108 110 115 120 121 125 128 132 135 138 144 150 160 165 176 178 180 184 192 198 200 207 216 220 225 230 240 242 250 253 256 264 267 270 275 276 288 297 300 320 330 345 352 356 360 363 368 375 384 396 400 414 432 440 445 450 460 480 484 495 500 506 528 529 534 540 550 552 575 576 594 600 605 621 640 660 675 690 704 712 720 726 736 750 759 768 792 800 801 825 828 864 880 890 900 920 960 968 979 990 1000 1012 1035 1056 1058 1068 1080 1089 1100 1104 1125 1150 1152 1188 1200 1210 1242 1265 1280 1320 1331 1335 1350 1375 1380 1408 1424 1440 1452 1472 1485 1500 1518 1584 1587 1600 1602 1650 1656 1725 1728 1760 1780 1800 1815 1840 1920 1936 1958 1980 2000 2024 2047 2070 2112 2116 2136 2160 2178 2200 2208 2225 2250 2277 2300 2304 2376 2400 2403 2420 2475 2484 2530 2640 2645 2662 2670 2700 2750 2760 2783 2816 2848 2875 2880 2904 2937 2944 2970 3000 3025 3036 3105 3168 3174 3200 3204 3267 3300 3312 3375 3450 3456 3520 3560 3600 3630 3680 3795 3840 3872 3916 3960 3993 4000 4005 4048 4094 4125 4140 4224 4232 4272 4320 4356 4400 4416 4450 4500 4554 4600 4752 4761 4800 4806 4840 4895 4950 4968 5060 5175 5280 5290 5324 5340 5400 5445 5500 5520 5566 5696 5750 5760 5808 5819 5874 5888 5940 6000 6050 6072 6141 6210 6325 6336 6348 6400 6408 6534 6600 6624 6655 6675 6750 6831 6900 6912 7040 7120 7200 7260 7360 7425 7590 7744 7832 7920 7935 7986 8000 8010 8096 8188 8250 8280 8349 8448 8464 8544 8625 8640 8712 8800 8811 8832 8900 9000 9075 9108 9200 9504 9522 9600 9612 9680 9790 9900 9936 10120 10235 10350 10560 10580 10648 10680 10769 10800 10890 11000 11040 11125 11132 11385 11392 11500 11520 11616 11638 11748 11880 11979 12000 12015 12100 12144 12282 12375 12420 12650 12672 12696 12816 13068 13200 13225 13248 13310 13350 13500 13662 13800 13915 14080 14240 14283 14400 14520 14685 14720 14850 15125 15180 15488 15525 15664 15840 15870 15972 16000 16020 16192 16335 16376 16500 16560 16698 16928 17088 17250 17280 17424 17457 17600 17622 17664 17800 18000 18150 18216 18400 18423 18975 19008 19044 19200 19224 19360 19580 19800 19872 19965 20025 20240 20470 20700 21120 21160 21296 21360 21538 21600 21780 22000 22080 22250 22264 22517 22770 22784 23000 23232 23276 23496 23760 23805 23958 24000 24030 24200 24288 24475 24564 24750 24840 25047 25300 25344 25392 25632 25875 26136 26400 26433 26450 26496 26620 26700 27000 27225 27324 27600 27830 28480 28566 28800 29040 29095 29370 29440 29700 30250 30360 30613 30705 30976 31050 31328 31625 31680 31740 31944 32000 32040 32307 32384 32670 32752 33000 33120 33275 33375 33396 33856 34155 34176 34500 34560 34848 34914 35200 35244 35600 35937 36000 36300 36432 36800 36846 37125 37950 38016 38088 38448 38720 39160 39600 39675 39744 39930 40050 40480 40940 41400 41745 42240 42320 42592 42720 43076 43200 43560 44000 44055 44160 44500 44528 45034 45375 45540 46000 46464 46552 46992 47081 47520 47610 47916 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240632874240 246101803200 250659244000 261557472000 270711983520 273446448000 281991649500 294252156000 300791092800 304170768000 307627254000 328135737600 338389979400 360949311360 375988866000 392336208000 401054790400 410169672000 422987474250 433139173632 447457824000 451186639200 470803449600 492203606400 501318488000 541423967040 546892896000 563983299000 588504312000 601582185600 608341536000 615254508000 676779958800 721898622720 751977732000 784672416000 820339344000 845974948500 902373278400 984407212800 1002636976000 1082847934080 1127966598000 1177008624000 1203164371200 1230509016000 1353559917600 1503955464000 1640678688000 1691949897000 1804746556800 2005273952000 2165695868160 2255933196000 2354017248000 2461018032000 2707119835200 3007910928000 3383899794000 3609493113600 4511866392000 4922036064000 5414239670400 6015821856000 6767799588000 9023732784000 10828479340800 13535599176000 18047465568000 27071198352000 54142396704000
- Sum of all divisors σ(n): 232334769139200
- Sum of proper divisors (its aliquot sum) s(n): 178192372435200
- 54142396704000 is an abundant number, because the sum of its proper divisors (178192372435200) is greater than itself. Its abundance is 124049975731200
Bases of 54142396704000
- Binary: 11000100111110000000100101001010100101000000002
- Hexadecimal: 0x313E0252A500
- Base-36: J6WO92YO0
Squares and roots of 54142396704000
- 54142396704000 squared (541423967040002) is 2931399120853310063616000000
- 54142396704000 cubed (541423967040003) is 158712974098996752455812948721664000000000
-
The
square root of 54142396704000 is 7358151.7179248213 -
The
cube root of 54142396704000 is 37830.8261517903
Scales and comparisons
How big is 54142396704000?- 54,142,396,704,000 seconds is equal to 1,721,560 years, 38 weeks, 4 days.
-
To count from 1 to 54,142,396,704,000 would take you about four million, three hundred three thousand, nine hundred one 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 54142396704000 cubic inches would be around 3152.6 feet tall.
Recreational maths with 54142396704000
- 54142396704000 backwards is 00040769324145
- 54142396704000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 54142396704000's digits is 45
- More coming soon!
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"Number 54142396704000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 54142396704000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/54142396704000/
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The information we have on file for 54142396704000 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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