42257459648000
42,257,459,648,000 is an even composite number composed of five prime numbers multiplied together.
42257459648000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42257459648000:
29 × 53 × 372 × 71 × 6793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 37 × 37 × 71 × 6793)See below for interesting mathematical facts about the number 42257459648000 from the Numbermatics database.
Names of 42257459648000
- Cardinal: 42257459648000 can be written as Forty-two trillion, two hundred fifty-seven billion, four hundred fifty-nine million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.2257459648 × 1013
Factors of 42257459648000
Divisors of 42257459648000
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 50 64 71 74 80 100 125 128 142 148 160 185 200 250 256 284 296 320 355 370 400 500 512 568 592 640 710 740 800 925 1000 1136 1184 1280 1369 1420 1480 1600 1775 1850 2000 2272 2368 2560 2627 2738 2840 2960 3200 3550 3700 4000 4544 4625 4736 5254 5476 5680 5920 6400 6793 6845 7100 7400 8000 8875 9088 9250 9472 10508 10952 11360 11840 12800 13135 13586 13690 14200 14800 16000 17750 18176 18500 18944 21016 21904 22720 23680 26270 27172 27380 28400 29600 32000 33965 34225 35500 36352 37000 42032 43808 45440 47360 52540 54344 54760 56800 59200 64000 65675 67930 68450 71000 74000 84064 87616 90880 94720 97199 105080 108688 109520 113600 118400 131350 135860 136900 142000 148000 168128 169825 171125 175232 181760 194398 210160 217376 219040 227200 236800 251341 262700 271720 273800 284000 296000 328375 336256 339650 342250 350464 388796 420320 434752 438080 454400 473600 482303 485995 502682 525400 543440 547600 568000 592000 656750 672512 679300 684500 700928 777592 840640 849125 869504 876160 908800 964606 971990 1005364 1050800 1086880 1095200 1136000 1184000 1256705 1313500 1345024 1358600 1369000 1555184 1681280 1698250 1739008 1752320 1929212 1943980 2010728 2101600 2173760 2190400 2272000 2368000 2411515 2429975 2513410 2627000 2717200 2738000 3110368 3362560 3396500 3478016 3504640 3858424 3887960 4021456 4203200 4347520 4380800 4544000 4823030 4859950 5026820 5254000 5434400 5476000 6220736 6283525 6725120 6793000 7716848 7775920 8042912 8406400 8695040 8761600 9299617 9646060 9719900 10053640 10508000 10868800 10952000 12057575 12149875 12441472 12567050 13586000 15433696 15551840 16085824 16812800 17390080 17523200 17845211 18599234 19292120 19439800 20107280 21016000 21737600 21904000 24115150 24299750 24882944 25134100 27172000 30867392 31103680 31417625 32171648 33625600 35690422 37198468 38584240 38879600 40214560 42032000 43475200 43808000 46498085 48230300 48599500 49765888 50268200 54344000 60287875 61734784 62207360 62835250 64343296 71380844 74396936 77168480 77759200 80429120 84064000 86950400 87616000 89226055 92996170 96460600 97199000 100536400 108688000 120575750 123469568 124414720 125670500 128686592 142761688 148793872 154336960 155518400 160858240 168128000 178452110 185992340 192921200 194398000 201072800 217376000 232490425 241151500 246939136 248829440 251341000 285523376 297587744 308673920 311036800 321716480 356904220 371984680 385842400 388796000 402145600 434752000 446130275 464980850 482303000 502682000 571046752 595175488 617347840 622073600 643432960 660272807 713808440 743969360 771684800 777592000 804291200 892260550 929961700 964606000 1005364000 1142093504 1162452125 1190350976 1234695680 1244147200 1320545614 1427616880 1487938720 1543369600 1555184000 1608582400 1784521100 1859923400 1929212000 2010728000 2230651375 2284187008 2324904250 2380701952 2641091228 2855233760 2975877440 3086739200 3110368000 3217164800 3301364035 3569042200 3719846800 3858424000 4021456000 4461302750 4568374016 4649808500 4761403904 5282182456 5710467520 5951754880 6173478400 6220736000 6602728070 7138084400 7439693600 7716848000 8042912000 8922605500 9136748032 9299617000 10564364912 11420935040 11903509760 13205456140 14276168800 14879387200 15433696000 16085824000 16506820175 17845211000 18599234000 21128729824 22841870080 23807019520 26410912280 28552337600 29758774400 30867392000 33013640350 35690422000 37198468000 42257459648 45683740160 52821824560 57104675200 59517548800 66027280700 71380844000 74396936000 82534100875 84514919296 105643649120 114209350400 119035097600 132054561400 142761688000 148793872000 165068201750 169029838592 211287298240 228418700800 264109122800 285523376000 297587744000 330136403500 338059677184 422574596480 528218245600 571046752000 595175488000 660272807000 845149192960 1056436491200 1142093504000 1320545614000 1690298385920 2112872982400 2641091228000 4225745964800 5282182456000 8451491929600 10564364912000 21128729824000 42257459648000
- Sum of all divisors σ(n): 109837937297088
- Sum of proper divisors (its aliquot sum) s(n): 67580477649088
- 42257459648000 is an abundant number, because the sum of its proper divisors (67580477649088) is greater than itself. Its abundance is 25323018001088
Bases of 42257459648000
- Binary: 10011001101110110101001101111100010110000000002
- Hexadecimal: 0x266ED4DF1600
- Base-36: EZ8T4F37K
Squares and roots of 42257459648000
- 42257459648000 squared (422574596480002) is 1785692895902348283904000000
- 42257459648000 cubed (422574596480003) is 75458845492313747155515327905792000000000
-
The
square root of 42257459648000 is 6500573.7937508255 -
The
cube root of 42257459648000 is 34831.1485240537
Scales and comparisons
How big is 42257459648000?- 42,257,459,648,000 seconds is equal to 1,343,656 years, 26 weeks, 2 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,257,459,648,000 would take you about three million, three hundred fifty-nine thousand, one hundred forty-one 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 42257459648000 cubic inches would be around 2902.6 feet tall.
Recreational maths with 42257459648000
- 42257459648000 backwards is 00084695475224
- The number of decimal digits it has is: 14
- The sum of 42257459648000's digits is 56
- More coming soon!
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