642813132000
642,813,132,000 is an even composite number composed of five prime numbers multiplied together.
642813132000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 642813132000:
25 × 3 × 53 × 132 × 5632
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 563 × 563)See below for interesting mathematical facts about the number 642813132000 from the Numbermatics database.
Names of 642813132000
- Cardinal: 642813132000 can be written as Six hundred forty-two billion, eight hundred thirteen million, one hundred thirty-two thousand.
Scientific notation
- Scientific notation: 6.42813132 × 1011
Factors of 642813132000
Divisors of 642813132000
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 125 130 150 156 160 169 195 200 208 240 250 260 300 312 325 338 375 390 400 416 480 500 507 520 563 600 624 650 676 750 780 800 845 975 1000 1014 1040 1126 1200 1248 1300 1352 1500 1560 1625 1689 1690 1950 2000 2028 2080 2252 2400 2535 2600 2704 2815 3000 3120 3250 3378 3380 3900 4000 4056 4225 4504 4875 5070 5200 5408 5630 6000 6240 6500 6756 6760 7319 7800 8112 8445 8450 9008 9750 10140 10400 11260 12000 12675 13000 13512 13520 14075 14638 15600 16224 16890 16900 18016 19500 20280 21125 21957 22520 25350 26000 27024 27040 28150 29276 31200 33780 33800 36595 39000 40560 42225 42250 43914 45040 50700 52000 54048 56300 58552 63375 67560 67600 70375 73190 78000 81120 84450 84500 87828 90080 95147 101400 109785 112600 117104 126750 135120 135200 140750 146380 156000 168900 169000 175656 182975 190294 202800 211125 219570 225200 234208 253500 270240 281500 285441 292760 316969 337800 338000 351312 365950 380588 405600 422250 439140 450400 475735 507000 548925 563000 570882 585520 633938 675600 676000 702624 731900 761176 844500 878280 914875 950907 951470 1014000 1097850 1126000 1141764 1171040 1267876 1351200 1427205 1463800 1522352 1584845 1689000 1756560 1829750 1901814 1902940 2028000 2195700 2252000 2283528 2378675 2535752 2744625 2854410 2927600 3044704 3169690 3378000 3513120 3659500 3803628 3805880 4120597 4391400 4567056 4754535 4757350 5071504 5489250 5708820 5855200 6339380 6756000 7136025 7319000 7607256 7611760 7924225 8241194 8782800 9134112 9509070 9514700 10143008 10978500 11417640 11893375 12361791 12678760 14272050 14638000 15214512 15223520 15848450 16482388 17565600 19018140 19029400 20602985 21957000 22835280 23772675 23786750 24723582 25357520 28544100 29276000 30429024 31696900 32964776 35680125 38036280 38058800 39621125 41205970 43914000 45670560 47545350 47573500 49447164 50715040 53567761 57088200 61808955 63393800 65929552 71360250 76072560 76117600 79242250 82411940 87828000 95090700 95147000 98894328 103014925 107135522 114176400 118863375 123617910 126787600 131859104 142720500 152145120 158484500 160703283 164823880 190181400 190294000 197788656 206029850 214271044 228352800 237726750 247235820 253575200 267838805 285441000 309044775 316969000 321406566 329647760 380362800 380588000 395577312 412059700 428542088 475453500 494471640 515074625 535677610 570882000 618089550 633938000 642813132 659295520 760725600 803516415 824119400 857084176 950907000 988943280 1030149250 1071355220 1141764000 1236179100 1267876000 1285626264 1339194025 1545223875 1607032830 1648238800 1714168352 1901814000 1977886560 2060298500 2142710440 2472358200 2571252528 2678388050 3090447750 3214065660 3296477600 3803628000 4017582075 4120597000 4285420880 4944716400 5142505056 5356776100 6180895500 6428131320 6695970125 8035164150 8241194000 8570841760 9889432800 10713552200 12361791000 12856262640 13391940250 16070328300 16482388000 20087910375 21427104400 24723582000 25712525280 26783880500 32140656600 40175820750 42854208800 49447164000 53567761000 64281313200 80351641500 107135522000 128562626400 160703283000 214271044000 321406566000 642813132000
- Sum of all divisors σ(n): 2284362885168
- Sum of proper divisors (its aliquot sum) s(n): 1641549753168
- 642813132000 is an abundant number, because the sum of its proper divisors (1641549753168) is greater than itself. Its abundance is 998736621168
Bases of 642813132000
- Binary: 10010101101010101010010111111100111000002
- Hexadecimal: 0x95AAA5FCE0
- Base-36: 87AYCB1C
Squares and roots of 642813132000
- 642813132000 squared (6428131320002) is 413208722671649424000000
- 642813132000 cubed (6428131320003) is 265615993190282373847435968000000000
-
The
square root of 642813132000 is 801756.2796760621 -
The
cube root of 642813132000 is 8630.3467826331
Scales and comparisons
How big is 642813132000?- 642,813,132,000 seconds is equal to 20,439 years, 24 weeks, 2 days, 19 hours, 20 minutes.
-
To count from 1 to 642,813,132,000 would take you about forty thousand, eight hundred seventy-eight 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 642813132000 cubic inches would be around 719.2 feet tall.
Recreational maths with 642813132000
- 642813132000 backwards is 000231318246
- 642813132000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 642813132000's digits is 30
- More coming soon!
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