42345513916800
42,345,513,916,800 is an even composite number composed of five prime numbers multiplied together.
42345513916800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42345513916800:
27 × 3 × 52 × 893 × 6257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 89 × 89 × 89 × 6257)See below for interesting mathematical facts about the number 42345513916800 from the Numbermatics database.
Names of 42345513916800
- Cardinal: 42345513916800 can be written as Forty-two trillion, three hundred forty-five billion, five hundred thirteen million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 4.23455139168 × 1013
Factors of 42345513916800
Divisors of 42345513916800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 89 96 100 120 128 150 160 178 192 200 240 267 300 320 356 384 400 445 480 534 600 640 712 800 890 960 1068 1200 1335 1424 1600 1780 1920 2136 2225 2400 2670 2848 3200 3560 4272 4450 4800 5340 5696 6257 6675 7120 7921 8544 8900 9600 10680 11392 12514 13350 14240 15842 17088 17800 18771 21360 23763 25028 26700 28480 31285 31684 34176 35600 37542 39605 42720 47526 50056 53400 56960 62570 63368 71200 75084 79210 85440 93855 95052 100112 106800 118815 125140 126736 142400 150168 156425 158420 170880 187710 190104 198025 200224 213600 237630 250280 253472 284800 300336 312850 316840 375420 380208 396050 400448 427200 469275 475260 500560 506944 556873 594075 600672 625700 633680 704969 750840 760416 792100 800896 854400 938550 950520 1001120 1013888 1113746 1188150 1201344 1251400 1267360 1409938 1501680 1520832 1584200 1670619 1877100 1901040 2002240 2114907 2227492 2376300 2402688 2502800 2534720 2784365 2819876 3003360 3041664 3168400 3341238 3524845 3754200 3802080 4004480 4229814 4454984 4752600 5005600 5069440 5568730 5639752 6006720 6336800 6682476 7049690 7508400 7604160 8353095 8459628 8909968 9505200 10011200 10574535 11137460 11279504 12013440 12673600 13364952 13921825 14099380 15016800 15208320 16706190 16919256 17624225 17819936 19010400 20022400 21149070 22274920 22559008 25347200 26729904 27843650 28198760 30033600 33412380 33838512 35248450 35639872 38020800 41765475 42298140 44549840 45118016 49561697 52872675 53459808 55687300 56397520 60067200 66824760 67677024 70496900 71279744 76041600 83530950 84596280 89099680 90236032 99123394 105745350 106919616 111374600 112795040 133649520 135354048 140993800 148685091 167061900 169192560 178199360 198246788 211490700 213839232 222749200 225590080 247808485 267299040 270708096 281987600 297370182 334123800 338385120 356398720 396493576 422981400 445498400 451180160 495616970 534598080 563975200 594740364 668247600 676770240 743425455 792987152 845962800 890996800 991233940 1069196160 1127950400 1189480728 1239042425 1336495200 1353540480 1486850910 1585974304 1691925600 1781993600 1982467880 2255900800 2378961456 2478084850 2672990400 2973701820 3171948608 3383851200 3717127275 3964935760 4410991033 4757922912 4956169700 5345980800 5947403640 6343897216 6767702400 7434254550 7929871520 8821982066 9515845824 9912339400 11894807280 13232973099 14868509100 15859743040 17643964132 19031691648 19824678800 22054955165 23789614560 26465946198 29737018200 31719486080 35287928264 39649357600 44109910330 47579229120 52931892396 59474036400 66164865495 70575856528 79298715200 88219820660 95158458240 105863784792 110274775825 118948072800 132329730990 141151713056 158597430400 176439641320 211727569584 220549551650 237896145600 264659461980 282303426112 330824327475 352879282640 423455139168 441099103300 475792291200 529318923960 564606852224 661648654950 705758565280 846910278336 882198206600 1058637847920 1323297309900 1411517130560 1693820556672 1764396413200 2117275695840 2646594619800 2823034261120 3528792826400 4234551391680 5293189239600 7057585652800 8469102783360 10586378479200 14115171305600 21172756958400 42345513916800
- Sum of all divisors σ(n): 141083027920800
- Sum of proper divisors (its aliquot sum) s(n): 98737514004000
- 42345513916800 is an abundant number, because the sum of its proper divisors (98737514004000) is greater than itself. Its abundance is 56392000087200
Bases of 42345513916800
- Binary: 10011010000011010101010101000010011001100000002
- Hexadecimal: 0x268355509980
- Base-36: F0D9DNNUO
Squares and roots of 42345513916800
- 42345513916800 squared (423455139168002) is 1793142548877902477322240000
- 42345513916800 cubed (423455139168003) is 75931542758315443577442110318149632000000
-
The
square root of 42345513916800 is 6507343.0766173685 -
The
cube root of 42345513916800 is 34855.3249533929
Scales and comparisons
How big is 42345513916800?- 42,345,513,916,800 seconds is equal to 1,346,456 years, 18 weeks, 4 days, 18 hours, 40 minutes.
-
To count from 1 to 42,345,513,916,800 would take you about three million, three hundred sixty-six thousand, one hundred forty 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 42345513916800 cubic inches would be around 2904.6 feet tall.
Recreational maths with 42345513916800
- 42345513916800 backwards is 00861931554324
- The number of decimal digits it has is: 14
- The sum of 42345513916800's digits is 51
- More coming soon!
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