42134131106614400
42,134,131,106,614,400 is an even composite number composed of six prime numbers multiplied together.
42134131106614400 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 42134131106614400:
27 × 52 × 74 × 732 × 97 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 73 × 73 × 97 × 103 × 103)See below for interesting mathematical facts about the number 42134131106614400 from the Numbermatics database.
Names of 42134131106614400
- Cardinal: 42134131106614400 can be written as Forty-two quadrillion, one hundred thirty-four trillion, one hundred thirty-one billion, one hundred six million, six hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 4.21341311066144 × 1016
Factors of 42134131106614400
Divisors of 42134131106614400
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 73 80 97 98 100 103 112 128 140 146 160 175 194 196 200 206 224 245 280 292 320 343 350 365 388 392 400 412 448 485 490 511 515 560 584 640 679 686 700 721 730 776 784 800 824 896 970 980 1022 1030 1120 1168 1225 1358 1372 1400 1442 1460 1552 1568 1600 1648 1715 1825 1940 1960 2044 2060 2240 2336 2401 2425 2450 2555 2575 2716 2744 2800 2884 2920 3104 3136 3200 3296 3395 3430 3577 3605 3650 3880 3920 4088 4120 4480 4672 4753 4802 4850 4900 5047 5110 5150 5329 5432 5488 5600 5768 5840 6208 6272 6592 6790 6860 7081 7154 7210 7300 7519 7760 7840 8176 8240 8575 9344 9506 9604 9700 9800 9991 10094 10220 10300 10609 10658 10864 10976 11200 11536 11680 12005 12416 12775 13184 13580 13720 14162 14308 14420 14600 15038 15520 15680 16352 16480 16975 17150 17885 18025 19012 19208 19400 19600 19982 20188 20440 20600 21218 21316 21728 21952 22400 23072 23360 23765 24010 25039 25235 25550 26645 27160 27440 28324 28616 28840 29200 30076 31040 31360 32704 32960 33271 33950 34300 35329 35405 35770 36050 37303 37595 38024 38416 38800 39200 39964 40376 40880 41200 42436 42632 43456 43904 46144 46720 47530 48020 49567 49955 50078 50470 51100 52633 53045 53290 54320 54880 56648 57232 57680 58400 60025 60152 62080 65408 65920 66542 67900 68600 69937 70658 70810 71540 72100 74263 74606 75190 76048 76832 77600 78400 79928 80752 81760 82400 84872 85264 86912 89425 92288 95060 96040 99134 99910 100156 100940 102200 105266 106090 106580 108640 109760 113296 114464 115360 116800 118825 120050 120304 125195 126175 133084 133225 135800 137200 139874 141316 141620 143080 144200 148526 149212 150380 152096 153664 155200 156800 159856 161504 163520 164800 166355 169744 170528 175273 176645 177025 178850 186515 187975 190120 192080 198268 199820 200312 201880 204400 210532 212180 213160 217280 219520 226592 228928 230720 232897 233600 237650 240100 240608 247303 247835 249775 250390 252350 261121 263165 265225 266168 266450 271600 274400 279748 282632 283240 286160 288400 297052 298424 300760 304192 307328 310400 319712 323008 327040 329600 332710 339488 341056 346969 349685 350546 353290 354050 357700 368431 371315 373030 375950 380240 384160 396536 399640 400624 403760 408800 421064 424360 426320 434560 453184 457856 461440 465794 475300 480200 481216 489559 494606 495670 499550 500780 504700 516913 519841 522242 526330 530450 532336 532900 543200 548800 548887 559496 565264 566480 572320 576800 594104 596848 601520 608384 625975 639424 646016 665420 678976 682112 693938 699370 701092 706580 708100 715400 729343 736862 742630 746060 751900 760480 768320 774457 793072 799280 801248 807520 817600 831775 842128 848720 852640 876365 883225 906368 931588 932575 950600 960400 962432 979118 989212 991340 999100 1001560 1009400 1029073 1033826 1039682 1044484 1052660 1060900 1064672 1065800 1086400 1097600 1097774 1118992 1130528 1132960 1144640 1153600 1164485 1188208 1193696 1203040 1236515 1239175 1251950 1278848 1305605 1315825 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27148280352200 28858993908640 29219231003200 30095807933296 30710008095200 31026606116800 34395209066624 36073742385800 37619759916620 40906923404480 41227134155200 42994011333280 43437248563520 47024699895775 51133654255600 52667663883268 53742514166600 54296560704400 57717987817280 58438462006400 60191615866592 61420016190400 62053212233600 65834579854085 72147484771600 75239519833240 81813846808960 82454268310400 85988022666560 86874497127040 94049399791550 102267308511200 105335327766536 107485028333200 108593121408800 115435975634560 120383231733184 122840032380800 131669159708170 144294969543200 150479039666480 171976045333120 188098799583100 204534617022400 210670655533072 214970056666400 217186242817600 240766463466368 263338319416340 288589939086400 300958079332960 329172899270425 376197599166200 409069234044800 421341311066144 429940113332800 434372485635200 526676638832680 577179878172800 601916158665920 658345798540850 752395198332400 842682622132288 859880226665600 1053353277665360 1203832317331840 1316691597081700 1504790396664800 1685365244264576 2106706555330720 2633383194163400 3009580793329600 4213413110661440 5266766388326800 6019161586659200 8426826221322880 10533532776653600 21067065553307200 42134131106614400
- Sum of all divisors σ(n): 125599274628947910
- Sum of proper divisors (its aliquot sum) s(n): 83465143522333510
- 42134131106614400 is an abundant number, because the sum of its proper divisors (83465143522333510) is greater than itself. Its abundance is 41331012415719110
Bases of 42134131106614400
- Binary: 100101011011000011000100110111011000011110001100100000002
- Hexadecimal: 0x95B0C4DD878C80
- Base-36: BIVAWM5UMWW
Squares and roots of 42134131106614400
- 42134131106614400 squared (421341311066144002) is 1775285004109371203539430287360000
- 42134131106614400 cubed (421341311066144003) is 74800091114750730159676164635628120588713984000000
-
The
square root of 42134131106614400 is 205266000.8540488907 -
The
cube root of 42134131106614400 is 347972.3056378841
Scales and comparisons
How big is 42134131106614400?- 42,134,131,106,614,400 seconds is equal to 1,339,735,039 years, 39 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 42,134,131,106,614,400 would take you about four billion, nineteen million, two hundred five thousand, one hundred nineteen 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 42134131106614400 cubic inches would be around 28997.7 feet tall.
Recreational maths with 42134131106614400
- 42134131106614400 backwards is 00441660113143124
- The number of decimal digits it has is: 17
- The sum of 42134131106614400's digits is 41
- More coming soon!
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Numbermatics. (2024). Number 42134131106614400 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/42134131106614400/
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The information we have on file for 42134131106614400 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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