42438957276248000
42,438,957,276,248,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42438957276248000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
42438957276248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42438957276248000:
26 × 53 × 133 × 173 × 372 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 17 × 17 × 17 × 37 × 37 × 359)See below for interesting mathematical facts about the number 42438957276248000 from the Numbermatics database.
Names of 42438957276248000
- Cardinal: 42438957276248000 can be written as Forty-two quadrillion, four hundred thirty-eight trillion, nine hundred fifty-seven billion, two hundred seventy-six million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.2438957276248 × 1016
Factors of 42438957276248000
Divisors of 42438957276248000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 37 40 50 52 64 65 68 74 80 85 100 104 125 130 136 148 160 169 170 185 200 208 221 250 260 272 289 296 320 325 338 340 359 370 400 416 425 442 481 500 520 544 578 592 629 650 676 680 718 740 800 832 845 850 884 925 962 1000 1040 1088 1105 1156 1184 1258 1300 1352 1360 1369 1436 1445 1480 1600 1625 1690 1700 1768 1795 1850 1924 2000 2080 2125 2197 2210 2312 2368 2405 2516 2600 2704 2720 2738 2872 2873 2890 2960 3145 3250 3380 3400 3536 3590 3700 3757 3848 4000 4160 4225 4250 4394 4420 4624 4625 4667 4810 4913 5032 5200 5408 5440 5476 5525 5744 5746 5780 5920 6103 6253 6290 6500 6760 6800 6845 7072 7180 7225 7400 7514 7696 8000 8177 8450 8500 8788 8840 8975 9248 9250 9334 9620 9826 10064 10400 10693 10816 10952 10985 11050 11488 11492 11560 11840 12025 12206 12506 12580 13000 13283 13520 13600 13690 14144 14360 14365 14450 14800 15028 15392 15725 16354 16900 17000 17576 17680 17797 17950 18496 18500 18668 18785 19240 19652 20128 20800 21125 21386 21904 21970 22100 22976 22984 23120 23273 23335 24050 24412 24565 25012 25160 26000 26566 27040 27200 27380 27625 28720 28730 28900 29600 30056 30515 30784 31265 31450 32708 33800 34000 34225 35152 35360 35594 35900 36125 37000 37336 37349 37570 38480 39304 40256 40885 42250 42772 43808 43940 44200 44875 45968 46240 46546 46670 48100 48824 48841 49130 50024 50320 52000 53132 53465 54080 54760 54925 55250 57440 57460 57800 59200 60112 60125 60671 61030 62530 62900 63869 65416 66415 67600 68000 68450 70304 70720 71188 71800 71825 72250 74000 74672 74698 75140 76960 78608 78625 79339 81289 81770 84500 85544 87616 87880 88400 88985 89750 91936 92480 93092 93340 93925 96200 97648 97682 98260 100048 100640 103751 104000 106264 106301 106930 109520 109850 110500 114880 114920 115600 116365 116675 120224 120250 121342 122060 122825 125060 125800 127738 130832 132830 135200 136000 136900 139009 140608 142376 143600 143650 144500 148000 149344 149396 150280 152575 153920 156325 157216 157250 158678 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230807068375 233462008000 236428731344 238461298400 240039351110 241459702300 245767912000 247999750336 248053383500 251118090392 259502001200 261037516000 267453316000 269882081248 269940446750 271479016640 275720876275 278151448640 282399236600 284070238000 284169148250 286749711326 293695206064 295433047520 295535914180 298076623000 301824627875 305296472000 309999687920 312051156443 313897612990 319498285600 324377501500 332234396000 337352601560 339348770800 345523771840 347689310800 349746644000 352922721632 352999045750 363736509760 364705515200 367119007580 369291309400 369419892725 384062961776 386335523680 387499609900 396885413600 399233848000 399372857000 408066896887 409046248000 421690751950 424185963500 431904714800 434460364000 434611638500 441153402040 451838778560 454670637200 455881894000 458898759475 461614136750 472857462688 476922596800 480078702220 482919404600 484374512375 496106767000 502236180784 519004002400 522075032000 534906632000 539764162496 539880893500 551441752550 564798473200 568140476000 568338296500 573499422652 587390412128 590866095040 591071828360 596153246000 600098377775 603649255750 619999375840 624102312886 627795225980 638996571200 648755003000 664468792000 674705203120 678697541600 695378621600 699493288000 705845443264 705998091500 716874278315 734238015160 738582618800 738839785450 768125923552 772671047360 774999219800 784744032475 793770827200 798745714000 816133793774 843381503900 848371927000 863809429600 868920728000 869223277000 882306804080 909341274400 911763788000 917797518950 923228273500 945714925376 960157404440 965838809200 968749024750 992213534000 1004472361568 1038008004800 1054226879875 1079761787000 1102883505100 1129596946400 1136280952000 1136676593000 1146998845304 1174780824256 1182143656720 1192306492000 1200196755550 1207298511500 1239998751680 1248204625772 1255590451960 1297510006000 1349410406240 1357395083200 1378604381375 1390757243200 1411996183000 1433748556630 1468476030320 1477165237600 1477679570900 1536251847104 1549998439600 1560255782215 1569488064950 1597491428000 1632267587548 1686763007800 1696743854000 1727618859200 1738446554000 1764613608160 1818682548800 1823527576000 1835595037900 1846456547000 1847099463625 1920314808880 1931677618400 1937498049500 1984427068000 2008944723136 2040334484435 2108453759750 2159523574000 2205767010200 2259193892800 2273353186000 2293997690608 2294493797375 2364287313440 2384612984000 2400393511100 2414597023000 2496409251544 2511180903920 2595020012000 2698820812480 2757208762750 2823992366000 2867497113260 2936952060640 2954330475200 2955359141800 3000491888875 3099996879200 3120511564430 3138976129900 3194982856000 3264535175096 3373526015600 3393487708000 3476893108000 3529227216320 3584371391575 3671190075800 3692913094000 3694198927250 3840629617760 3863355236800 3874996099000 3923720162375 3968854136000 4080668968870 4216907519500 4319047148000 4411534020400 4546706372000 4587995381216 4588987594750 4728574626880 4800787022200 4829194046000 4992818503088 5022361807840 5190040024000 5304869659531 5514417525500 5647984732000 5734994226520 5873904121280 5910718283600 6000983777750 6199993758400 6241023128860 6277952259800 6529070350192 6747052031200 6786975416000 6953786216000 7168742783150 7342380151600 7385826188000 7388397854500 7681259235520 7749992198000 7801278911075 7847440324750 8161337937740 8433815039000 8638094296000 8823068040800 9093412744000 9175990762432 9177975189500 9601574044400 9658388092000 9985637006176 10044723615680 10201672422175 10609739319062 11028835051000 11295969464000 11469988453040 11821436567200 12001967555500 12482046257720 12555904519600 13058140700384 13494104062400 14337485566300 14684760303200 14771652376000 14776795709000 15499984396000 15602557822150 15694880649500 16322675875480 16867630078000 17646136081600 17921856957875 18355950379000 19203148088800 19316776184000 19971274012352 20403344844350 21219478638124 22057670102000 22939976906080 23642873134400 24003935111000 24964092515440 25111809039200 26116281400768 26524348297655 28674971132600 29369520606400 29553591418000 30999968792000 31205115644300 31389761299000 32645351750960 33735260156000 35843713915750 36711900758000 38406296177600 39006394555375 40806689688700 42438957276248 44115340204000 45879953812160 48007870222000 49928185030880 50223618078400 51008362110875 53048696595310 57349942265200 59107182836000 62410231288600 62779522598000 65290703501920 67470520312000 71687427831500 73423801516000 78012789110750 81613379377400 84877914552496 88230680408000 96015740444000 99856370061760 102016724221750 106097393190620 114699884530400 118214365672000 124820462577200 125559045196000 130581407003840 132621741488275 143374855663000 146847603032000 156025578221500 163226758754800 169755829104992 192031480888000 204033448443500 212194786381240 229399769060800 249640925154400 251118090392000 265243482976550 286749711326000 312051156443000 326453517509600 339511658209984 408066896887000 424389572762480 499281850308800 530486965953100 573499422652000 624102312886000 652907035019200 663108707441375 816133793774000 848779145524960 1060973931906200 1146998845304000 1248204625772000 1326217414882750 1632267587548000 1697558291049920 2121947863812400 2496409251544000 2652434829765500 3264535175096000 4243895727624800 5304869659531000 8487791455249600 10609739319062000 21219478638124000 42438957276248000
- Sum of all divisors σ(n): 124672990688064000
- Sum of proper divisors (its aliquot sum) s(n): 82234033411816000
- 42438957276248000 is an abundant number, because the sum of its proper divisors (82234033411816000) is greater than itself. Its abundance is 39795076135568000
Bases of 42438957276248000
- Binary: 100101101100011000000001101111010001011010110111110000002
- Hexadecimal: 0x96C601BD16B7C0
- Base-36: BLVCRTOVEM8
Squares and roots of 42438957276248000
- 42438957276248000 squared (424389572762480002) is 1801065094695203062984957504000000
- 42438957276248000 cubed (424389572762480003) is 76435324605511281175647358902551868564992000000000
-
The
square root of 42438957276248000 is 206007177.7299227989 -
The
cube root of 42438957276248000 is 348809.4439972645
Scales and comparisons
How big is 42438957276248000?- 42,438,957,276,248,000 seconds is equal to 1,349,427,569 years, 3 weeks, 4 days, 18 hours, 13 minutes, 20 seconds.
-
To count from 1 to 42,438,957,276,248,000 would take you about four billion, forty-eight million, two hundred eighty-two thousand, seven hundred seven 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 42438957276248000 cubic inches would be around 29067.5 feet tall.
Recreational maths with 42438957276248000
- 42438957276248000 backwards is 00084267275983424
- The number of decimal digits it has is: 17
- The sum of 42438957276248000's digits is 71
- More coming soon!
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Cite this page
MLA style:
"Number 42438957276248000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 42438957276248000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/42438957276248000/
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Numbermatics. 2024. "Number 42438957276248000 - Facts about the integer". https://numbermatics.com/n/42438957276248000/
The information we have on file for 42438957276248000 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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