42664512018688000
42,664,512,018,688,000 is an even composite number composed of six prime numbers multiplied together.
42664512018688000 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 42664512018688000:
211 × 53 × 73 × 31 × 372 × 1072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 31 × 37 × 37 × 107 × 107)See below for interesting mathematical facts about the number 42664512018688000 from the Numbermatics database.
Names of 42664512018688000
- Cardinal: 42664512018688000 can be written as Forty-two quadrillion, six hundred sixty-four trillion, five hundred twelve billion, eighteen million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 4.2664512018688 × 1016
Factors of 42664512018688000
Divisors of 42664512018688000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 37 40 49 50 56 62 64 70 74 80 98 100 107 112 124 125 128 140 148 155 160 175 185 196 200 214 217 224 245 248 250 256 259 280 296 310 320 343 350 370 392 400 428 434 448 490 496 500 512 518 535 560 592 620 640 686 700 740 749 775 784 800 856 868 875 896 925 980 992 1000 1024 1036 1070 1085 1120 1147 1184 1225 1240 1280 1295 1369 1372 1400 1480 1498 1519 1550 1568 1600 1712 1715 1736 1750 1792 1813 1850 1960 1984 2000 2048 2072 2140 2170 2240 2294 2368 2450 2480 2560 2590 2675 2738 2744 2800 2960 2996 3038 3100 3136 3200 3317 3424 3430 3472 3500 3584 3626 3700 3745 3875 3920 3959 3968 4000 4144 4280 4340 4480 4588 4625 4736 4900 4960 5120 5180 5243 5350 5425 5476 5488 5600 5735 5920 5992 6076 6125 6200 6272 6400 6475 6634 6845 6848 6860 6944 7000 7168 7252 7400 7490 7595 7750 7840 7918 7936 8000 8029 8288 8560 8575 8680 8960 9065 9176 9250 9472 9583 9800 9920 10240 10360 10486 10633 10700 10850 10952 10976 11200 11449 11470 11840 11984 12152 12250 12400 12544 12691 12800 12950 13268 13375 13690 13696 13720 13888 14000 14336 14504 14800 14980 15190 15500 15680 15836 15872 16000 16058 16576 16585 17120 17150 17360 17920 18130 18352 18500 18725 18944 19166 19600 19795 19840 20720 20972 21266 21400 21700 21904 21952 22400 22898 22940 23219 23680 23968 24304 24500 24800 25088 25382 25600 25900 26215 26536 26750 27125 27380 27392 27440 27713 27776 28000 28675 29008 29600 29960 30380 31000 31360 31672 31744 32000 32116 32375 33152 33170 34225 34240 34300 34720 35840 36260 36701 36704 37000 37450 37888 37975 38332 39200 39590 39680 40145 41440 41944 42439 42532 42800 42875 43400 43808 43904 44800 45325 45796 45880 46438 47360 47915 47936 48608 49000 49600 50176 50764 51200 51800 52430 53072 53165 53500 54250 54760 54784 54880 55426 55552 56000 56203 57245 57350 58016 59200 59920 60760 62000 62720 63344 63455 63488 64000 64232 64750 66304 66340 67081 68450 68480 68600 69440 71680 72520 73402 73408 74000 74900 75776 75950 76664 78400 79180 79360 80143 80290 82880 82925 83888 84878 85064 85600 85750 86800 87616 87808 89600 90650 91592 91760 92876 93625 94720 95830 95872 97216 98000 98975 99200 100352 101528 103600 104860 106144 106330 107000 108500 109520 109568 109760 110852 111104 112000 112406 114490 114700 116032 116095 118400 119840 121520 122729 124000 125440 126688 126910 128000 128464 129500 131075 132608 132680 134162 136900 136960 137200 138565 138880 143375 145040 146483 146804 146816 148000 149800 151900 153328 156800 158360 158720 160286 160580 162533 165760 165850 167776 169756 170128 171125 171200 171500 173600 175232 175616 179200 181300 183184 183505 183520 185752 187250 189440 189875 191660 191744 193991 194432 196000 197950 198400 200725 203056 207200 209720 212195 212288 212660 214000 217000 219040 219136 219520 221704 222208 224000 224812 226625 228980 229400 232064 232190 236800 239575 239680 243040 245458 248000 250880 253376 253820 256000 256928 259000 262150 265216 265360 265825 268324 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87070432691200 95233285756000 98305327232000 99683439296000 106661280046720 108838040864000 115309491942400 121898605767680 124386332416000 133326600058400 137627458124800 144136864928000 152373257209600 164727845632000 166658250073000 170658048074752 172034322656000 174140865382400 190466571512000 196610654464000 199366878592000 213322560093440 217676081728000 230618983884800 243797211535360 266653200116800 275254916249600 288273729856000 304746514419200 333316500146000 341316096149504 344068645312000 380933143024000 398733757184000 426645120186880 435352163456000 533306400233600 576547459712000 609493028838400 666633000292000 688137290624000 761866286048000 853290240373760 870704326912000 1066612800467200 1153094919424000 1218986057676800 1333266000584000 1376274581248000 1523732572096000 1706580480747520 2133225600934400 2666532001168000 3047465144192000 4266451201868800 5333064002336000 6094930288384000 8532902403737600 10666128004672000 21332256009344000 42664512018688000
- Sum of all divisors σ(n): 132962044610304000
- Sum of proper divisors (its aliquot sum) s(n): 90297532591616000
- 42664512018688000 is an abundant number, because the sum of its proper divisors (90297532591616000) is greater than itself. Its abundance is 47633020572928000
Bases of 42664512018688000
- Binary: 100101111001001100100101110010110110001110101000000000002
- Hexadecimal: 0x979325CB63A800
- Base-36: BO3B28QVBWG
Squares and roots of 42664512018688000
- 42664512018688000 squared (426645120186880002) is 1820260585792772800861241344000000
- 42664512018688000 cubed (426645120186880003) is 77660529639699814502913379758479006236672000000000
-
The
square root of 42664512018688000 is 206553896.1595447611 -
The
cube root of 42664512018688000 is 349426.3037380573
Scales and comparisons
How big is 42664512018688000?- 42,664,512,018,688,000 seconds is equal to 1,356,599,512 years, 10 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 42,664,512,018,688,000 would take you about four billion, sixty-nine million, seven hundred ninety-eight thousand, five hundred thirty-six 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 42664512018688000 cubic inches would be around 29118.9 feet tall.
Recreational maths with 42664512018688000
- 42664512018688000 backwards is 00088681021546624
- The number of decimal digits it has is: 17
- The sum of 42664512018688000's digits is 61
- More coming soon!
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MLA style:
"Number 42664512018688000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 42664512018688000 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/42664512018688000/
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The information we have on file for 42664512018688000 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!
Keywords: Divisors of 42664512018688000, math, Factors of 42664512018688000, curriculum, school, college, exams, university, Prime factorization of 42664512018688000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, six hundred sixty-four trillion, five hundred twelve billion, eighteen million, six hundred eighty-eight thousand.