164142061828805025
164,142,061,828,805,025 is an odd composite number composed of five prime numbers multiplied together.
What does the number 164142061828805025 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 675 divisors.
164142061828805025 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-five divisors.
Prime factorization of 164142061828805025:
34 × 52 × 74 × 432 × 42732
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 43 × 43 × 4273 × 4273)See below for interesting mathematical facts about the number 164142061828805025 from the Numbermatics database.
Names of 164142061828805025
- Cardinal: 164142061828805025 can be written as One hundred sixty-four quadrillion, one hundred forty-two trillion, sixty-one billion, eight hundred twenty-eight million, eight hundred five thousand and twenty-five.
Scientific notation
- Scientific notation: 1.64142061828805025 × 1017
Factors of 164142061828805025
Divisors of 164142061828805025
- Number of divisors d(n): 675
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 43 45 49 63 75 81 105 129 135 147 175 189 215 225 245 301 315 343 387 405 441 525 567 645 675 735 903 945 1029 1075 1161 1225 1323 1505 1575 1715 1849 1935 2025 2107 2205 2401 2709 2835 3087 3225 3483 3675 3969 4273 4515 4725 5145 5547 5805 6321 6615 7203 7525 8127 8575 9245 9261 9675 10535 11025 12005 12819 12943 13545 14175 14749 15435 16641 17415 18963 19845 21365 21609 22575 24381 25725 27735 27783 29025 29911 31605 33075 36015 38457 38829 40635 44247 46225 46305 49923 52675 56889 60025 64095 64715 64827 67725 73745 77175 83205 87075 89733 90601 94815 99225 103243 106825 108045 115371 116487 121905 132741 138675 138915 149555 149769 158025 170667 180075 183739 192285 194145 194481 203175 209377 221235 231525 249615 269199 271803 284445 309729 320475 323575 324135 346113 349461 368725 398223 416025 448665 453005 474075 516215 540225 551217 576855 582435 609525 628131 634207 663705 694575 747775 748845 807597 815409 853335 918695 929187 961425 970725 972405 1046885 1048383 1106175 1194669 1248075 1286173 1345995 1359015 1422225 1465639 1548645 1620675 1653651 1730565 1747305 1884393 1902621 1991115 2243325 2265025 2422791 2446227 2581075 2756085 2787561 2884275 2912175 3140655 3171035 3318525 3744225 3858519 4037985 4077045 4266675 4396917 4439449 4593475 4645935 4862025 4960953 5234425 5241915 5653179 5707863 5973345 6430865 6729975 6795075 7328195 7338681 7743225 7900777 8268255 8362683 8652825 8736525 9003211 9421965 9513105 9955575 10259473 11575557 12113955 12231135 13190751 13318347 13780425 13937805 14882859 15703275 15855175 16959537 17123589 18258529 19292595 20189925 20385225 21984585 22197245 23229675 23702331 24804765 26209575 27009633 28265895 28539315 29866725 30778419 32154325 34726671 36640975 36693405 39503885 39572253 39955041 41341275 41813415 45016055 47109825 47565525 51297365 51370767 54775587 55305439 57877785 60569775 61155675 63022477 65953755 66591735 69689025 71106993 74414295 81028899 84797685 85617945 91292645 92335257 96462975 104180013 109922925 110986225 118511655 118716759 119865123 124023825 127809703 135048165 141329475 142696575 153892095 164326761 165916317 173633355 183467025 189067431 197519425 197861265 199775205 209067075 213320979 225080275 243086697 256486825 256853835 273877935 276527195 277005771 289388925 315112385 329768775 332958675 355534965 359595369 372071475 383429109 387138073 405144495 423988425 428089725 441157339 456463225 461676285 492980283 497748951 520900065 567202293 592558275 593583795 599325615 639048515 639962937 675240825 729260091 769460475 785116747 821633805 829581585 831017313 868166775 894667921 945337155 989306325 998876025 1066604895 1150287327 1161414219 1215433485 1284269175 1323472017 1369389675 1382635975 1385028855 1478940849 1493246853 1575561925 1701606879 1777674825 1797976845 1917145545 1935690365 2025722475 2205786695 2308381425 2355350241 2464901415 2488744755 2604500325 2684003763 2709966511 2836011465 2967918975 2996628075 3195242575 3199814685 3450861981 3484242657 3646300455 3925583735 3970416051 4108169025 4147907925 4155086565 4473339605 4479740559 4726685775 5104820637 5333024475 5495817229 5751436635 5807071095 6077167425 6262675447 6617360085 6925144275 7066050723 7394704245 7466234265 8052011289 8129899533 8508034395 8989884225 9585727725 9678451825 10352585943 10452727971 11028933475 11776751205 11911248153 12324507075 12443723775 13420018815 13549832555 14180057325 15999073425 16487451687 17254309905 17421213285 18231502275 18788026341 18969765577 19627918675 19852080255 20775432825 21198152169 22366698025 22398702795 24156033867 24389698599 25524103185 27479086145 28757183175 29035355475 31313377235 31358183913 33086800425 33760020121 35330253615 35733744459 36973521225 37331171325 38470720603 40260056445 40649497665 42540171975 43838728129 49462355061 51762929715 52263639855 56364079023 56909296731 58883756025 59556240765 63594456507 67100094075 67749162775 72468101601 73169095797 82437258435 86271549525 87106066425 93940131705 94848827885 99260401275 101280060363 105990760845 111993513975 115412161809 120780169335 121948492995 127620515925 131516184387 137395430725 148387065183 156566886175 156790919565 168800100605 169092237069 170727890193 176651268075 178668722295 192353603015 201300282225 203247488325 219193640645 219507287391 236320140847 247311775305 258814648575 261318199275 269295044221 281820395115 284546483655 297781203825 303840181089 317972282535 346236485427 362340508005 365845478985 394548553161 412186292175 445161195549 469700658525 474244139425 506400301815 507276711207 512183670579 529953804225 577060809045 603900846675 609742464975 657580921935 708960422541 741935325915 783954597825 807885132663 844000503025 845461185345 853639450965 893343611475 911520543267 961768015075 1038709456281 1095968203225 1097536436955 1181600704235 1183645659483 1236558876525 1346475221105 1409101975575 1422732418275 1519200905445 1536551011737 1589861412675 1654240985929 1731182427135 1811702540025 1829227394925 1885065309547 1972742765805 2126881267623 2225805977745 2423655397989 2532001509075 2536383556035 2560918352895 2734561629801 2885304045225 3116128368843 3287904609675 3544802112705 3550936978449 3709676629575 4039425663315 4227305926725 4268197254825 4557602716335 4962722957787 5193547281405 5487682184775 5655195928641 5908003521175 5918228297415 6380643802869 6732376105525 7270966193967 7596004527225 7682755058685 8271204929645 8655912135675 9425326547735 9863713829025 10634406338115 11129029888725 11579686901503 12118276989945 12681917780175 12804591764475 13672808149005 14888168873361 15580641844215 16965587785923 17724010563525 17754684892245 19141931408607 20197128316575 21812898581901 22788013581675 24813614788935 25967736407025 28275979643205 29591141487075 31903219014345 34739060704509 36354830969835 38413775293425 41356024648225 44664506620083 47126632738675 50896763357769 53172031690575 57898434507515 60591384949725 68364040745025 74440844366805 77903209221075 81057808310521 84827938929615 88773424461225 95709657043035 104217182113527 109064492909505 124068073944675 133993519860249 141379898216025 152690290073307 159516095071725 173695303522545 181774154849175 223322533100415 243173424931563 254483816788845 289492172537575 312651546340581 372204221834025 405289041552605 424139694648075 478548285215175 521085910567635 545322464547525 669967599301245 729520274794689 763451450366535 868476517612725 937954639021743 1116612665502075 1215867124657815 1272419083944225 1563257731702905 2026445207763025 2188560824384067 2605429552838175 3349837996506225 3647601373973445 3817257251832675 4689773195108715 6079335623289075 6565682473152201 7816288658514525 10942804121920335 18238006869867225 23448865975543575 32828412365761005 54714020609601675 164142061828805025
- Sum of all divisors σ(n): 363227081634803529
- Sum of proper divisors (its aliquot sum) s(n): 199085019805998504
- 164142061828805025 is an abundant number, because the sum of its proper divisors (199085019805998504) is greater than itself. Its abundance is 34942957977193479
Bases of 164142061828805025
- Binary: 10010001110010011001010101111010000000000110010001101000012
- Hexadecimal: 0x2472655E80191A1
- Base-36: 18W7I67QF929
Squares and roots of 164142061828805025
- 164142061828805025 squared (1641420618288050252) is 26942616461411251628230819465250625
- 164142061828805025 cubed (1641420618288050253) is 4422416617038745720712776431762290501705655884390625
-
164142061828805025 is a
perfect square number . Itssquare root is 405144495 -
The
cube root of 164142061828805025 is 547528.3715314937
Scales and comparisons
How big is 164142061828805025?- 164,142,061,828,805,025 seconds is equal to 5,219,209,841 years, 21 weeks, 6 days, 20 hours, 3 minutes, 45 seconds.
-
To count from 1 to 164,142,061,828,805,025 would take you about fifteen billion, six hundred fifty-seven million, six hundred twenty-nine thousand, five hundred twenty-four 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 164142061828805025 cubic inches would be around 45627.4 feet tall.
Recreational maths with 164142061828805025
- 164142061828805025 backwards is 520508828160241461
- 164142061828805025 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 164142061828805025's digits is 63
- More coming soon!
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The information we have on file for 164142061828805025 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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