42142353744400000
42,142,353,744,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42142353744400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
42142353744400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42142353744400000:
27 × 55 × 72 × 13 × 3892 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 389 × 389 × 1093)See below for interesting mathematical facts about the number 42142353744400000 from the Numbermatics database.
Names of 42142353744400000
- Cardinal: 42142353744400000 can be written as Forty-two quadrillion, one hundred forty-two trillion, three hundred fifty-three billion, seven hundred forty-four million, four hundred thousand.
Scientific notation
- Scientific notation: 4.21423537444 × 1016
Factors of 42142353744400000
Divisors of 42142353744400000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 175 182 196 200 208 224 245 250 260 280 320 325 350 364 389 392 400 416 448 455 490 500 520 560 625 637 640 650 700 728 778 784 800 832 875 896 910 980 1000 1040 1093 1120 1225 1250 1274 1300 1400 1456 1556 1568 1600 1625 1664 1750 1820 1945 1960 2000 2080 2186 2240 2275 2450 2500 2548 2600 2723 2800 2912 3112 3125 3136 3185 3200 3250 3500 3640 3890 3920 4000 4160 4372 4375 4480 4550 4900 5000 5057 5096 5200 5446 5465 5600 5824 6125 6224 6250 6272 6370 6500 7000 7280 7651 7780 7840 8000 8125 8320 8744 8750 9100 9725 9800 10000 10114 10192 10400 10892 10930 11200 11375 11648 12250 12448 12500 12740 13000 13615 14000 14209 14560 15302 15560 15680 15925 16000 16250 17488 17500 18200 19061 19450 19600 20000 20228 20384 20800 21784 21860 21875 22400 22750 24500 24896 25000 25285 25480 26000 27230 27325 28000 28418 29120 30604 30625 31120 31360 31850 32500 34976 35000 35399 36400 38122 38255 38900 39200 40000 40456 40625 40768 41600 43568 43720 43750 45500 48625 49000 49792 50000 50570 50960 52000 53557 54460 54650 56000 56836 56875 58240 61208 61250 62240 63700 65000 68075 69952 70000 70798 71045 72800 76244 76510 77800 78400 79625 80000 80912 81250 81536 87136 87440 87500 91000 95305 97250 98000 99463 100000 101140 101920 104000 107114 108920 109300 112000 113672 113750 122416 122500 124480 126425 127400 130000 136150 136625 139904 140000 141596 142090 145600 151321 152488 153020 153125 155600 156800 159250 161824 162500 174272 174880 175000 176995 182000 190610 191275 194500 196000 198926 200000 202280 203840 208000 214228 217840 218600 227344 227500 243125 244832 245000 247793 248960 252850 254800 260000 267785 272300 273250 280000 283192 284180 284375 291200 302642 304976 306040 306250 311200 318500 323648 325000 340375 348544 349760 350000 353990 355225 364000 381220 382550 389000 392000 397852 398125 400000 404560 407680 425177 428456 435680 437200 454688 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66157541200000 67427765991040 75254203115000 81042987970000 84284707488800 86004803560000 92620557680000 94067753893750 101303734962500 105355884361000 107506004450000 108335099600000 115775697100000 120406724984000 129668780752000 131694855451250 150508406230000 162085975940000 168569414977600 172009607120000 188135507787500 202607469925000 210711768722000 215012008900000 231551394200000 240813449968000 263389710902500 301016812460000 324171951880000 329237138628125 337138829955200 376271015575000 405214939850000 421423537444000 430024017800000 463102788400000 526779421805000 602033624920000 648343903760000 658474277256250 752542031150000 810429879700000 842847074888000 860048035600000 1053558843610000 1204067249840000 1316948554512500 1505084062300000 1620859759400000 1685694149776000 2107117687220000 2633897109025000 3010168124600000 3241719518800000 4214235374440000 5267794218050000 6020336249200000 8428470748880000 10535588436100000 21071176872200000 42142353744400000
- Sum of all divisors σ(n): 131919714803577960
- Sum of proper divisors (its aliquot sum) s(n): 89777361059177960
- 42142353744400000 is an abundant number, because the sum of its proper divisors (89777361059177960) is greater than itself. Its abundance is 47635007314777960
Bases of 42142353744400000
- Binary: 100101011011100000111111010110001110111100001110100000002
- Hexadecimal: 0x95B83F58EF0E80
- Base-36: BIY7U1K33WG
Squares and roots of 42142353744400000
- 42142353744400000 squared (421423537444000002) is 1775977979118144700531360000000000
- 42142353744400000 cubed (421423537444000003) is 74843892238261490330418775765624384000000000000000
-
The
square root of 42142353744400000 is 205286029.1018363481 -
The
cube root of 42142353744400000 is 347994.9402102659
Scales and comparisons
How big is 42142353744400000?- 42,142,353,744,400,000 seconds is equal to 1,339,996,494 years, 11 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 42,142,353,744,400,000 would take you about four billion, nineteen million, nine hundred eighty-nine thousand, four 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 42142353744400000 cubic inches would be around 28999.6 feet tall.
Recreational maths with 42142353744400000
- 42142353744400000 backwards is 00000444735324124
- The number of decimal digits it has is: 17
- The sum of 42142353744400000's digits is 43
- More coming soon!
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"Number 42142353744400000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 42142353744400000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42142353744400000/
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The information we have on file for 42142353744400000 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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