428169730240000
428,169,730,240,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428169730240000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1800 divisors.
428169730240000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 428169730240000:
29 × 54 × 72 × 172 × 19 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 17 × 17 × 19 × 4973)See below for interesting mathematical facts about the number 428169730240000 from the Numbermatics database.
Names of 428169730240000
- Cardinal: 428169730240000 can be written as Four hundred twenty-eight trillion, one hundred sixty-nine billion, seven hundred thirty million, two hundred forty thousand.
Scientific notation
- Scientific notation: 4.2816973024 × 1014
Factors of 428169730240000
Divisors of 428169730240000
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 25 28 32 34 35 38 40 49 50 56 64 68 70 76 80 85 95 98 100 112 119 125 128 133 136 140 152 160 170 175 190 196 200 224 238 245 250 256 266 272 280 289 304 320 323 340 350 380 392 400 425 448 475 476 490 500 512 532 544 560 578 595 608 625 640 646 665 680 700 760 784 800 833 850 875 896 931 950 952 980 1000 1064 1088 1120 1156 1190 1216 1225 1250 1280 1292 1330 1360 1400 1445 1520 1568 1600 1615 1666 1700 1750 1792 1862 1900 1904 1960 2000 2023 2125 2128 2176 2240 2261 2312 2375 2380 2432 2450 2500 2560 2584 2660 2720 2800 2890 2975 3040 3136 3200 3230 3325 3332 3400 3500 3584 3724 3800 3808 3920 4000 4046 4165 4250 4256 4352 4375 4480 4522 4624 4655 4750 4760 4864 4900 4973 5000 5168 5320 5440 5491 5600 5780 5950 6080 6125 6272 6400 6460 6650 6664 6800 7000 7225 7448 7600 7616 7840 8000 8075 8092 8330 8500 8512 8704 8750 8960 9044 9248 9310 9500 9520 9728 9800 9946 10000 10115 10336 10625 10640 10880 10982 11200 11305 11560 11875 11900 12160 12250 12544 12800 12920 13300 13328 13600 14000 14161 14450 14875 14896 15200 15232 15680 15827 16000 16150 16184 16625 16660 17000 17024 17500 17920 18088 18496 18620 19000 19040 19600 19892 20000 20230 20672 20825 21250 21280 21760 21964 22400 22610 23120 23275 23750 23800 24320 24500 24865 25088 25840 26600 26656 27200 27455 28000 28322 28900 29750 29792 30400 30464 30625 31360 31654 32000 32300 32368 33250 33320 34000 34048 34811 35000 36125 36176 36992 37240 38000 38080 38437 39200 39784 40000 40375 40460 41344 41650 42500 42560 43520 43928 44800 45220 46240 46550 47500 47600 48640 49000 49730 50575 51680 53200 53312 54400 54910 56000 56525 56644 57800 59500 59584 60800 60928 61250 62720 63308 64000 64600 64736 66500 66640 68000 68096 69622 70000 70805 72250 72352 73984 74375 74480 76000 76160 76874 78400 79135 79568 80000 80750 80920 82688 83125 83300 84541 85000 85120 87856 89600 90440 92480 93100 94487 95000 95200 98000 99460 101150 103360 104125 106400 106624 108800 109820 112000 113050 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1007458188800 1070424325600 1092269720000 1126762448000 1223342086400 1259322736000 1325602880000 1338030407000 1408453060000 1481556160000 1529177608000 1574153420000 1609660640000 1672538008750 1712678920960 1747631552000 1799032480000 1911472010000 2140848651200 2184539440000 2253524896000 2446684172800 2518645472000 2676060814000 2816906120000 3058355216000 3148306840000 3219321280000 3345076017500 3425357841920 3598064960000 3822944020000 4281697302400 4369078880000 4507049792000 5037290944000 5352121628000 5633812240000 6116710432000 6296613680000 6690152035000 7645888040000 8563394604800 8738157760000 10704243256000 11267624480000 12233420864000 12593227360000 13380304070000 15291776080000 17126789209600 21408486512000 22535248960000 25186454720000 26760608140000 30583552160000 42816973024000 53521216280000 61167104320000 85633946048000 107042432560000 214084865120000 428169730240000
- Sum of all divisors σ(n): 1390835205860760
- Sum of proper divisors (its aliquot sum) s(n): 962665475620760
- 428169730240000 is an abundant number, because the sum of its proper divisors (962665475620760) is greater than itself. Its abundance is 534495745380760
Bases of 428169730240000
- Binary: 11000010101101011000010001010110010101110000000002
- Hexadecimal: 0x1856B08ACAE00
- Base-36: 47RUGIDBLS
Squares and roots of 428169730240000
- 428169730240000 squared (4281697302400002) is 183329317893794370457600000000
- 428169730240000 cubed (4281697302400003) is 78496064587669140568861217357824000000000000
-
The
square root of 428169730240000 is 20692262.5693760227 -
The
cube root of 428169730240000 is 75371.1810161417
Scales and comparisons
How big is 428169730240000?- 428,169,730,240,000 seconds is equal to 13,614,473 years, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 428,169,730,240,000 would take you about thirty-four million, thirty-six thousand, one hundred eighty-two 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 428169730240000 cubic inches would be around 6280.9 feet tall.
Recreational maths with 428169730240000
- 428169730240000 backwards is 000042037961824
- The number of decimal digits it has is: 15
- The sum of 428169730240000's digits is 46
- More coming soon!
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"Number 428169730240000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 428169730240000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/428169730240000/
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The information we have on file for 428169730240000 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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