34428331707076125
34,428,331,707,076,125 is an odd composite number composed of six prime numbers multiplied together.
34428331707076125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 34428331707076125:
36 × 53 × 72 × 133 × 972 × 373
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 97 × 97 × 373)See below for interesting mathematical facts about the number 34428331707076125 from the Numbermatics database.
Names of 34428331707076125
- Cardinal: 34428331707076125 can be written as Thirty-four quadrillion, four hundred twenty-eight trillion, three hundred thirty-one billion, seven hundred seven million, seventy-six thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 3.4428331707076125 × 1016
Factors of 34428331707076125
Divisors of 34428331707076125
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 81 91 97 105 117 125 135 147 169 175 189 195 225 243 245 273 291 315 325 351 373 375 405 441 455 485 507 525 567 585 637 675 679 729 735 819 845 873 875 945 975 1053 1119 1125 1183 1215 1225 1261 1323 1365 1455 1521 1575 1625 1701 1755 1865 1911 2025 2037 2197 2205 2275 2425 2457 2535 2611 2619 2625 2835 2925 3159 3185 3357 3375 3395 3549 3645 3675 3783 3969 4095 4225 4365 4563 4725 4753 4849 4875 5103 5265 5595 5733 5915 6075 6111 6125 6305 6591 6615 6825 7275 7371 7605 7833 7857 7875 8281 8505 8775 8827 9325 9409 9477 9555 10071 10125 10185 10647 10985 11025 11349 11375 11907 12125 12285 12675 13055 13095 13689 14175 14259 14547 14625 15379 15795 15925 16393 16785 16975 17199 17745 18225 18277 18333 18375 18915 19773 19845 20475 21125 21825 22113 22815 23499 23571 23625 23765 24245 24843 25515 26325 26481 27975 28227 28665 29575 30213 30375 30555 31525 31941 32955 33075 33943 34047 34125 35721 36181 36375 36855 38025 39165 39285 41067 41405 42525 42777 43641 43875 44135 46137 46625 47045 47385 47775 49179 50355 50925 51597 53235 54831 54925 54999 55125 56745 59319 59535 61425 61789 63037 63375 65275 65475 65863 66339 68445 70497 70713 70875 71295 72735 74529 76895 78975 79443 79625 81965 83925 84681 84875 85995 88725 90639 91125 91385 91665 94575 95823 98865 99225 101829 102141 102375 107653 108543 109125 110565 114075 114751 117495 117855 118825 121225 122317 123201 124215 127575 128331 130923 131625 132405 138411 139875 141135 143325 147537 147875 151065 152775 154791 157625 159705 164493 164775 164997 165375 169715 170235 177957 178605 180905 184275 185367 189111 190125 195825 196425 197589 205335 207025 211491 212625 213109 213885 218205 220675 223587 230685 235225 236925 237601 238329 238875 245895 251775 253267 254043 254625 257985 266175 271917 274155 274625 274995 283725 287469 296595 297675 305487 306423 307125 308945 315185 322959 325629 326375 327375 329315 331695 342225 344253 352485 353565 356475 363675 366951 372645 384475 384993 392769 394875 397215 409825 415233 419625 423405 429975 441259 442611 443625 453195 456925 458325 461041 464373 470353 472875 479115 493479 494325 494991 496125 509145 510705 533871 538265 542715 552825 556101 567333 570375 573755 587475 589275 592767 594125 606125 611585 616005 621075 634473 637875 639327 641655 654615 662025 670761 692055 705675 712803 714987 716625 737685 755325 759801 762129 763875 773955 798525 803257 819481 822465 823875 824985 848575 851175 856219 862407 889785 893025 904525 916461 919269 921375 926835 945555 968877 976887 979125 982125 987945 1026675 1032759 1035125 1057455 1065545 1069425 1091025 1100853 1103375 1117935 1153425 1154979 1176125 1178307 1184625 1188005 1191645 1229475 1245699 1258875 1266335 1270215 1289925 1323777 1327833 1330875 1359585 1370775 1374975 1383123 1411059 1418625 1437345 1480437 1482975 1488375 1491763 1527435 1532115 1544725 1575925 1590121 1601613 1614795 1628145 1646575 1658475 1668303 1701999 1711125 1721265 1762425 1767825 1772869 1778301 1782375 1818375 1834755 1863225 1903419 1917981 1922375 1924965 1963845 1986075 2012283 2049125 2076165 2117025 2138409 2144961 2149875 2206295 2213055 2265975 2279403 2284625 2286387 2291625 2305205 2321865 2351765 2395575 2409771 2458443 2467395 2471625 2474955 2545725 2553525 2568657 2669355 2691325 2713575 2749383 2764125 2780505 2836665 2868775 2906631 2930661 2937375 2946375 2963835 3057925 3080025 3088813 3098277 3105375 3172365 3196635 3208275 3273075 3292471 3302559 3310125 3353805 3460275 3464937 3509557 3528375 3534921 3564015 3574935 3688425 3737097 3776625 3799005 3810645 3869775 3971331 3983499 3992625 4016285 4097405 4112325 4124925 4149369 4233177 4242875 4255875 4281095 4312035 4441311 4448925 4465125 4475289 4522625 4582305 4596345 4634175 4727775 4770363 4844385 4884435 4939725 5004909 5105997 5133375 5163795 5287275 5318607 5327725 5334903 5347125 5455125 5504265 5589675 5736367 5753943 5767125 5774895 5891535 5940025 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17885172825 17909269371 17950298625 18087626375 18477817605 18764538975 18933570747 19315986651 19360238625 19419557625 19474965965 19534636485 20001761325 20120290281 20228173875 20636737875 20759029655 20909057715 21145740525 21320558775 21496036625 21651391125 21846427785 22287676905 22471114575 22539965175 23078955375 23131490187 23215719555 23255519625 23952726525 24268803741 24398931375 24891735375 25039241955 25115961195 25322676925 25868944647 25928209125 26007652125 26690180985 27104334075 27187380675 27348491079 27637761375 28002465855 28891433025 28979955225 29062641517 29218473375 29272680801 29808621375 29848782285 30796362675 31202747667 31274231625 31555951245 32193311085 32310537525 32557727475 33260071689 33336268875 33533817135 34848429525 35054938737 35162345673 35242900875 35534264625 36410712975 37146128175 37366253379 37451857625 37566608625 38062332945 38552483645 38692865925 39921210875 40209726375 40448006235 40571937315 41732069925 41788295199 41859935325 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5633829439875 5667215095815 5820512545575 6005290721625 6153410492775 6539094341325 6746684637875 7062221888631 7100089030125 7243494994125 7286419408905 7545108855375 7887361215825 8148717563805 8407407010275 8674308820125 9100801402875 9368253525735 9445358493025 9700854242625 10140892991775 10200987172467 10255684154625 10809523298925 10898490568875 11770369814385 12144032348175 13115554936029 13145602026375 13185879627375 13581195939675 14012345017125 14197250188485 15133332618495 15613755876225 15670610699625 16901488319625 17001645287445 18015872164875 18460231478325 19617283023975 20240053913625 21186665665893 21859258226715 22635326566125 23662083647475 25222221030825 26022926460375 27302404208625 28104760577205 28336075479075 29102562727875 30602961517401 30767052463875 32695471706625 35311109443155 36432097044525 39346664808087 39436806079125 40743587819025 42037035051375 46841267628675 47226792465125 50704464958875 51004935862335 54047616494625 58851849071925 60720161740875 65577774680145 67905979698375 70986250942425 75666663092475 78068779381125 85008226437225 91808884552203 92301157391625 98086415119875 105933328329465 109296291133575 118310418237375 126111105154125 140523802886025 141680377395375 153014807587005 176555547215775 182160485222625 196733324040435 203717939095125 234206338143375 255024679311675 275426653656609 294259245359625 327888873400725 354931254712125 378333315462375 425041132186125 459044422761015 529666641647325 546481455667875 702619014430125 765074037935025 882777736078875 983666620202175 1275123396558375 1377133268283045 1639444367003625 2295222113805075 2648333208236625 3825370189675125 4918333101010875 6885666341415225 11476110569025375 34428331707076125
- Sum of all divisors σ(n): 82245409849643040
- Sum of proper divisors (its aliquot sum) s(n): 47817078142566915
- 34428331707076125 is an abundant number, because the sum of its proper divisors (47817078142566915) is greater than itself. Its abundance is 13388746435490790
Bases of 34428331707076125
- Binary: 11110100101000001100010101000011001110000001110000111012
- Hexadecimal: 0x7A5062A19C0E1D
- Base-36: 9EZTP8P7KT9
Squares and roots of 34428331707076125
- 34428331707076125 squared (344283317070761252) is 1185310024132463247351396545015625
- 34428331707076125 cubed (344283317070761253) is 40808246686554851312387353206196320059911189453125
-
The
square root of 34428331707076125 is 185548731.3539926227 -
The
cube root of 34428331707076125 is 325315.9269773093
Scales and comparisons
How big is 34428331707076125?- 34,428,331,707,076,125 seconds is equal to 1,094,714,454 years, 24 weeks, 11 hours, 48 minutes, 45 seconds.
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To count from 1 to 34,428,331,707,076,125 would take you about three billion, two hundred eighty-four million, one hundred forty-three thousand, three hundred sixty-three 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 34428331707076125 cubic inches would be around 27109.7 feet tall.
Recreational maths with 34428331707076125
- 34428331707076125 backwards is 52167070713382443
- 34428331707076125 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 34428331707076125's digits is 63
- More coming soon!
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The information we have on file for 34428331707076125 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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