442135056384
442,135,056,384 is an even composite number composed of five prime numbers multiplied together.
442135056384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 442135056384:
212 × 32 × 73 × 73 × 479
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 73 × 479)See below for interesting mathematical facts about the number 442135056384 from the Numbermatics database.
Names of 442135056384
- Cardinal: 442135056384 can be written as Four hundred forty-two billion, one hundred thirty-five million, fifty-six thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 4.42135056384 × 1011
Factors of 442135056384
Divisors of 442135056384
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 73 84 96 98 112 126 128 144 146 147 168 192 196 219 224 252 256 288 292 294 336 343 384 392 438 441 448 479 504 511 512 576 584 588 657 672 686 768 784 876 882 896 958 1008 1022 1024 1029 1152 1168 1176 1314 1344 1372 1437 1533 1536 1568 1752 1764 1792 1916 2016 2044 2048 2058 2304 2336 2352 2628 2688 2744 2874 3066 3072 3087 3136 3353 3504 3528 3577 3584 3832 4032 4088 4096 4116 4311 4599 4608 4672 4704 5256 5376 5488 5748 6132 6144 6174 6272 6706 7008 7056 7154 7168 7664 8064 8176 8232 8622 9198 9216 9344 9408 10059 10512 10731 10752 10976 11496 12264 12288 12348 12544 13412 14016 14112 14308 14336 15328 16128 16352 16464 17244 18396 18432 18688 18816 20118 21024 21462 21504 21952 22992 23471 24528 24696 25039 25088 26824 28032 28224 28616 28672 30177 30656 32193 32256 32704 32928 34488 34967 36792 36864 37376 37632 40236 42048 42924 43008 43904 45984 46942 49056 49392 50078 50176 53648 56064 56448 57232 60354 61312 64386 64512 65408 65856 68976 69934 70413 73584 74752 75117 75264 80472 84096 85848 86016 87808 91968 93884 98112 98784 100156 100352 104901 107296 112128 112896 114464 120708 122624 128772 129024 130816 131712 137952 139868 140826 147168 149504 150234 150528 160944 164297 168192 171696 175616 183936 187768 196224 197568 200312 200704 209802 211239 214592 224256 225351 225792 228928 241416 244769 245248 257544 258048 261632 263424 275904 279736 281652 294336 299008 300468 301056 314703 321888 328594 336384 343392 351232 367872 375536 392448 395136 400624 419604 422478 429184 448512 450702 451584 457856 482832 489538 490496 492891 515088 523264 526848 551808 559472 563304 588672 600936 602112 629406 643776 657188 672768 686784 702464 734307 735744 751072 784896 790272 801248 839208 844956 858368 897024 901404 903168 915712 965664 979076 980992 985782 1030176 1046528 1053696 1103616 1118944 1126608 1177344 1201872 1258812 1287552 1314376 1345536 1373568 1404928 1468614 1471488 1478673 1502144 1569792 1580544 1602496 1678416 1689912 1713383 1716736 1802808 1806336 1831424 1931328 1958152 1961984 1971564 2060352 2093056 2107392 2202921 2207232 2237888 2253216 2354688 2403744 2517624 2575104 2628752 2691072 2747136 2937228 2942976 2957346 3004288 3139584 3161088 3204992 3356832 3379824 3426766 3433472 3605616 3662848 3862656 3916304 3943128 4120704 4214784 4405842 4414464 4475776 4506432 4709376 4807488 5035248 5140149 5150208 5257504 5494272 5874456 5885952 5914692 6008576 6279168 6322176 6409984 6713664 6759648 6853532 6866944 7211232 7325696 7725312 7832608 7886256 8241408 8811684 8828928 8951552 9012864 9418752 9614976 10070496 10280298 10300416 10515008 10988544 11748912 11829384 11993681 12017152 12644352 12819968 13427328 13519296 13707064 13733888 14422464 14651392 15420447 15450624 15665216 15772512 16482816 17623368 17657856 17903104 18025728 18837504 19229952 20140992 20560596 20600832 21030016 21977088 23497824 23658768 23987362 24034304 25639936 26854656 27038592 27414128 28844928 30840894 30901248 31330432 31545024 32965632 35246736 35806208 35981043 36051456 38459904 40281984 41121192 41201664 42060032 43954176 46995648 47317536 47974724 48068608 51279872 53709312 54077184 54828256 57689856 61681788 61802496 62660864 63090048 65931264 70493472 71612416 71962086 72102912 76919808 80563968 82242384 84120064 93991296 94635072 95949448 96137216 102559744 107418624 107943129 108154368 109656512 115379712 123363576 123604992 125321728 126180096 131862528 140986944 143224832 143924172 144205824 153839616 161127936 164484768 168240128 187982592 189270144 191898896 214837248 215886258 216308736 219313024 230759424 246727152 250643456 252360192 281973888 287848344 288411648 307679232 322255872 328969536 336480256 375965184 378540288 383797792 429674496 431772516 432617472 438626048 461518848 493454304 501286912 504720384 563947776 575696688 644511744 657939072 672960512 751930368 757080576 767595584 863545032 865234944 877252096 923037696 986908608 1002573824 1009440768 1127895552 1151393376 1289023488 1315878144 1503860736 1514161152 1535191168 1727090064 1754504192 1973817216 2018881536 2255791104 2302786752 2631756288 3007721472 3028322304 3070382336 3454180128 3509008384 3947634432 4511582208 4605573504 5263512576 6056644608 6140764672 6908360256 7018016768 7895268864 9023164416 9211147008 10527025152 12281529344 13816720512 15790537728 18422294016 21054050304 24563058688 27633441024 31581075456 36844588032 49126117376 55266882048 63162150912 73689176064 110533764096 147378352128 221067528192 442135056384
- Sum of all divisors σ(n): 1512910464000
- Sum of proper divisors (its aliquot sum) s(n): 1070775407616
- 442135056384 is an abundant number, because the sum of its proper divisors (1070775407616) is greater than itself. Its abundance is 628640351232
Bases of 442135056384
- Binary: 1100110111100010100110110010000000000002
- Hexadecimal: 0x66F14D9000
- Base-36: 5N43SOW0
Squares and roots of 442135056384
- 442135056384 squared (4421350563842) is 195483408083682859155456
- 442135056384 cubed (4421350563843) is 86430067655215602323071869181231104
-
The
square root of 442135056384 is 664932.3697820703 -
The
cube root of 442135056384 is 7618.1873763215
Scales and comparisons
How big is 442135056384?- 442,135,056,384 seconds is equal to 14,058 years, 27 weeks, 2 days, 21 hours, 26 minutes, 24 seconds.
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To count from 1 to 442,135,056,384 would take you about twenty-eight thousand, one hundred seventeen 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 442135056384 cubic inches would be around 634.8 feet tall.
Recreational maths with 442135056384
- 442135056384 backwards is 483650531244
- The number of decimal digits it has is: 12
- The sum of 442135056384's digits is 45
- More coming soon!
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The information we have on file for 442135056384 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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