3438968960000
3,438,968,960,000 is an even composite number composed of four prime numbers multiplied together.
3438968960000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred thirty divisors.
Prime factorization of 3438968960000:
210 × 54 × 72 × 109661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 109661)See below for interesting mathematical facts about the number 3438968960000 from the Numbermatics database.
Names of 3438968960000
- Cardinal: 3438968960000 can be written as Three trillion, four hundred thirty-eight billion, nine hundred sixty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 3.43896896 × 1012
Factors of 3438968960000
Divisors of 3438968960000
- Number of divisors d(n): 330
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 200 224 245 250 256 280 320 350 392 400 448 490 500 512 560 625 640 700 784 800 875 896 980 1000 1024 1120 1225 1250 1280 1400 1568 1600 1750 1792 1960 2000 2240 2450 2500 2560 2800 3136 3200 3500 3584 3920 4000 4375 4480 4900 5000 5120 5600 6125 6272 6400 7000 7168 7840 8000 8750 8960 9800 10000 11200 12250 12544 12800 14000 15680 16000 17500 17920 19600 20000 22400 24500 25088 25600 28000 30625 31360 32000 35000 35840 39200 40000 44800 49000 50176 56000 61250 62720 64000 70000 78400 80000 89600 98000 109661 112000 122500 125440 128000 140000 156800 160000 179200 196000 219322 224000 245000 250880 280000 313600 320000 392000 438644 448000 490000 548305 560000 627200 640000 767627 784000 877288 896000 980000 1096610 1120000 1254400 1535254 1568000 1754576 1960000 2193220 2240000 2741525 3070508 3136000 3509152 3838135 3920000 4386440 4480000 5373389 5483050 6141016 6272000 7018304 7676270 7840000 8772880 10746778 10966100 12282032 13707625 14036608 15352540 15680000 17545760 19190675 21493556 21932200 24564064 26866945 27415250 28073216 30705080 31360000 35091520 38381350 42987112 43864400 49128128 53733890 54830500 56146432 61410160 68538125 70183040 76762700 85974224 87728800 95953375 98256256 107467780 109661000 112292864 122820320 134334725 137076250 140366080 153525400 171948448 175457600 191906750 196512512 214935560 219322000 245640640 268669450 274152500 280732160 307050800 343896896 350915200 383813500 393025024 429871120 438644000 479766875 491281280 537338900 548305000 561464320 614101600 671673625 687793792 701830400 767627000 786050048 859742240 877288000 959533750 982562560 1074677800 1096610000 1228203200 1343347250 1375587584 1403660800 1535254000 1719484480 1754576000 1919067500 1965125120 2149355600 2193220000 2456406400 2686694500 2751175168 2807321600 3070508000 3358368125 3438968960 3509152000 3838135000 3930250240 4298711200 4386440000 4912812800 5373389000 5502350336 6141016000 6716736250 6877937920 7018304000 7676270000 8597422400 8772880000 9825625600 10746778000 12282032000 13433472500 13755875840 14036608000 15352540000 17194844800 17545760000 19651251200 21493556000 24564064000 26866945000 27511751680 30705080000 34389689600 35091520000 42987112000 49128128000 53733890000 61410160000 68779379200 70183040000 85974224000 98256256000 107467780000 122820320000 137558758400 171948448000 214935560000 245640640000 343896896000 429871120000 491281280000 687793792000 859742240000 1719484480000 3438968960000
- Sum of all divisors σ(n): 9993092200938
- Sum of proper divisors (its aliquot sum) s(n): 6554123240938
- 3438968960000 is an abundant number, because the sum of its proper divisors (6554123240938) is greater than itself. Its abundance is 3115154280938
Bases of 3438968960000
- Binary: 1100100000101100101000010111110100000000002
- Hexadecimal: 0x320B285F400
- Base-36: 17VU9BS3K
Squares and roots of 3438968960000
- 3438968960000 squared (34389689600002) is 11826507507843481600000000
- 3438968960000 cubed (34389689600003) is 40670992224680689760731136000000000000
-
The
square root of 3438968960000 is 1854445.7285129699 -
The
cube root of 3438968960000 is 15094.1763136607
Scales and comparisons
How big is 3438968960000?- 3,438,968,960,000 seconds is equal to 109,348 years, 29 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 3,438,968,960,000 would take you about two hundred seventy-three thousand, three hundred seventy-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 3438968960000 cubic inches would be around 1257.8 feet tall.
Recreational maths with 3438968960000
- 3438968960000 backwards is 0000698698343
- 3438968960000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3438968960000's digits is 56
- More coming soon!
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