42648965407463040
42,648,965,407,463,040 is an even composite number composed of six prime numbers multiplied together.
42648965407463040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 42648965407463040:
27 × 33 × 5 × 71 × 42443 × 819031
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 71 × 42443 × 819031)See below for interesting mathematical facts about the number 42648965407463040 from the Numbermatics database.
Names of 42648965407463040
- Cardinal: 42648965407463040 can be written as Forty-two quadrillion, six hundred forty-eight trillion, nine hundred sixty-five billion, four hundred seven million, four hundred sixty-three thousand and forty.
Scientific notation
- Scientific notation: 4.264896540746304 × 1016
Factors of 42648965407463040
Divisors of 42648965407463040
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 71 72 80 90 96 108 120 128 135 142 144 160 180 192 213 216 240 270 284 288 320 355 360 384 426 432 480 540 568 576 639 640 710 720 852 864 960 1065 1080 1136 1152 1278 1420 1440 1704 1728 1917 1920 2130 2160 2272 2556 2840 2880 3195 3408 3456 3834 4260 4320 4544 5112 5680 5760 6390 6816 7668 8520 8640 9088 9585 10224 11360 12780 13632 15336 17040 17280 19170 20448 22720 25560 27264 30672 34080 38340 40896 42443 45440 51120 61344 68160 76680 81792 84886 102240 122688 127329 136320 153360 169772 204480 212215 245376 254658 306720 339544 381987 408960 424430 509316 613440 636645 679088 763974 819031 848860 1018632 1145961 1226880 1273290 1358176 1527948 1638062 1697720 1909935 2037264 2291922 2457093 2546580 2716352 3013453 3055896 3276124 3395440 3819870 4074528 4095155 4583844 4914186 5093160 5432704 5729805 6026906 6111792 6552248 6790880 7371279 7639740 8149056 8190310 9040359 9167688 9828372 10186320 11459610 12053812 12223584 12285465 13104496 13581760 14742558 15067265 15279480 16298112 16380620 18080718 18335376 19656744 20372640 22113837 22919220 24107624 24447168 24570930 26208992 27121077 27163520 29485116 30134530 30558960 32761240 36161436 36670752 36856395 39313488 40745280 44227674 45201795 45838440 48215248 48894336 49141860 52417984 54242154 58151201 58970232 60269060 61117920 65522480 72322872 73341504 73712790 78626976 81363231 81490560 88455348 90403590 91676880 96430496 98283720 104835968 108484308 110569185 116302402 117940464 120538120 122235840 131044960 135605385 144645744 146683008 147425580 157253952 162726462 174453603 176910696 180807180 183353760 192860992 196567440 216968616 221138370 232604804 235880928 241076240 244471680 262089920 271210770 289291488 290756005 294851160 314507904 325452924 348907206 353821392 361614360 366707520 385721984 393134880 406816155 433937232 442276740 465209608 471761856 482152480 523360809 524179840 542421540 578582976 581512010 589702320 650905848 697814412 707642784 723228720 733415040 786269760 813632310 867874464 872268015 884553480 930419216 943523712 964304960 1046721618 1084843080 1157165952 1163024020 1179404640 1301811696 1395628824 1415285568 1446457440 1570082427 1572539520 1627264620 1735748928 1744536030 1769106960 1860838432 1928609920 2093443236 2169686160 2326048040 2358809280 2603623392 2616804045 2791257648 2830571136 2892914880 3140164854 3254529240 3471497856 3489072060 3538213920 3721676864 4186886472 4339372320 4652096080 4717618560 5207246784 5233608090 5582515296 5785829760 6280329708 6509058480 6978144120 7076427840 7443353728 7850412135 8373772944 8678744640 9304192160 10414493568 10467216180 11165030592 12560659416 13018116960 13956288240 14152855680 15700824270 16747545888 17357489280 18608384320 20934432360 22330061184 25121318832 26036233920 27912576480 31401648540 33495091776 34762132733 37216768640 41868864720 50242637664 52072467840 55825152960 62803297080 66990183552 69524265466 83737729440 100485275328 104286398199 111650305920 125606594160 139048530932 167475458880 173810663665 200970550656 208572796398 251213188320 278097061864 312859194597 334950917760 347621327330 417145592796 502426376640 521431990995 556194123728 625718389194 695242654660 834291185592 938577583791 1004852753280 1042863981990 1112388247456 1251436778388 1390485309320 1564295972985 1668582371184 1877155167582 2085727963980 2224776494912 2468111424043 2502873556776 2780970618640 3128591945970 3337164742368 3754310335164 4171455927960 4449552989824 4692887918955 4936222848086 5005747113552 5561941237280 6257183891940 6674329484736 7404334272129 7508620670328 8342911855920 9385775837910 9872445696172 10011494227104 11123882474560 12340557120215 12514367783880 13348658969472 14808668544258 15017241340656 16685823711840 18771551675820 19744891392344 20022988454208 22213002816387 22247764949120 24681114240430 25028735567760 29617337088516 30034482681312 33371647423680 37021671360645 37543103351640 39489782784688 40045976908416 44426005632774 49362228480860 50057471135520 59234674177032 60068965362624 66639008449161 66743294847360 74043342721290 75086206703280 78979565569376 88852011265548 98724456961720 100114942271040 111065014081935 118469348354064 120137930725248 133278016898322 148086685442580 150172413406560 157959131138752 177704022531096 197448913923440 200229884542080 222130028163870 236938696708128 266556033796644 296173370885160 300344826813120 315918262277504 333195042245805 355408045062192 394897827846880 444260056327740 473877393416256 533112067593288 592346741770320 600689653626240 666390084491610 710816090124384 789795655693760 888520112655480 947754786832512 1066224135186576 1184693483540640 1332780168983220 1421632180248768 1579591311387520 1777040225310960 2132448270373152 2369386967081280 2665560337966440 2843264360497536 3554080450621920 4264896540746304 4738773934162560 5331120675932880 7108160901243840 8529793081492608 10662241351865760 14216321802487680 21324482703731520 42648965407463040
- Sum of all divisors σ(n): 153179657678131200
- Sum of proper divisors (its aliquot sum) s(n): 110530692270668160
- 42648965407463040 is an abundant number, because the sum of its proper divisors (110530692270668160) is greater than itself. Its abundance is 67881726863205120
Bases of 42648965407463040
- Binary: 100101111000010100000010000100010010011001010110100000002
- Hexadecimal: 0x97850211265680
- Base-36: BNXSO87Y5C0
Squares and roots of 42648965407463040
- 42648965407463040 squared (426489654074630402) is 1818934250326979029533328966041600
- 42648965407463040 cubed (426489654074630403) is 77575663920645046384652782796094388767367102464000
-
The
square root of 42648965407463040 is 206516259.4263779513 -
The
cube root of 42648965407463040 is 349383.8558532845
Scales and comparisons
How big is 42648965407463040?- 42,648,965,407,463,040 seconds is equal to 1,356,105,178 years, 2 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 42,648,965,407,463,040 would take you about four billion, sixty-eight million, three hundred fifteen thousand, five hundred thirty-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 42648965407463040 cubic inches would be around 29115.3 feet tall.
Recreational maths with 42648965407463040
- 42648965407463040 backwards is 04036470456984624
- 42648965407463040 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42648965407463040's digits is 72
- More coming soon!
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