13344646144000
13,344,646,144,000 is an even composite number composed of five prime numbers multiplied together.
13344646144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 13344646144000:
213 × 53 × 37 × 43 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 37 × 43 × 8191)See below for interesting mathematical facts about the number 13344646144000 from the Numbermatics database.
Names of 13344646144000
- Cardinal: 13344646144000 can be written as Thirteen trillion, three hundred forty-four billion, six hundred forty-six million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3344646144 × 1013
Factors of 13344646144000
Divisors of 13344646144000
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 43 50 64 74 80 86 100 125 128 148 160 172 185 200 215 250 256 296 320 344 370 400 430 500 512 592 640 688 740 800 860 925 1000 1024 1075 1184 1280 1376 1480 1591 1600 1720 1850 2000 2048 2150 2368 2560 2752 2960 3182 3200 3440 3700 4000 4096 4300 4625 4736 5120 5375 5504 5920 6364 6400 6880 7400 7955 8000 8191 8192 8600 9250 9472 10240 10750 11008 11840 12728 12800 13760 14800 15910 16000 16382 17200 18500 18944 20480 21500 22016 23680 25456 25600 27520 29600 31820 32000 32764 34400 37000 37888 39775 40955 40960 43000 44032 47360 50912 51200 55040 59200 63640 64000 65528 68800 74000 75776 79550 81910 86000 88064 94720 101824 102400 110080 118400 127280 128000 131056 137600 148000 151552 159100 163820 172000 176128 189440 198875 203648 204775 204800 220160 236800 254560 256000 262112 275200 296000 303067 303104 318200 327640 344000 352213 352256 378880 397750 407296 409550 440320 473600 509120 512000 524224 550400 592000 606134 636400 655280 688000 704426 757760 795500 814592 819100 880640 947200 1018240 1023875 1024000 1048448 1100800 1184000 1212268 1272800 1310560 1376000 1408852 1515335 1515520 1591000 1629184 1638200 1761065 1761280 1894400 2036480 2047750 2096896 2201600 2368000 2424536 2545600 2621120 2752000 2817704 3030670 3182000 3258368 3276400 3522130 3788800 4072960 4095500 4193792 4403200 4736000 4849072 5091200 5242240 5504000 5635408 6061340 6364000 6516736 6552800 7044260 7576675 7577600 8145920 8191000 8387584 8805325 8806400 9472000 9698144 10182400 10484480 11008000 11270816 12122680 12728000 13031881 13033472 13105600 14088520 15153350 16291840 16382000 16775168 17610650 18944000 19396288 20364800 20968960 22016000 22541632 24245360 25456000 26063762 26211200 28177040 30306700 32583680 32764000 33550336 35221300 37883375 37888000 38792576 40729600 41937920 44026625 44032000 45083264 48490720 50912000 52127524 52422400 56354080 60613400 65159405 65167360 65528000 67100672 70442600 75766750 77585152 81459200 83875840 88053250 90166528 96981440 101824000 104255048 104844800 112708160 121226800 130318810 131056000 140885200 151533500 155170304 162918400 167751680 176106500 180333056 193962880 203648000 208510096 209689600 225416320 242453600 260637620 262112000 281770400 303067000 310340608 325797025 325836800 335503360 352213000 360666112 387925760 407296000 417020192 419379200 450832640 484907200 521275240 524224000 563540800 606134000 620681216 651594050 704426000 721332224 775851520 814592000 834040384 838758400 901665280 969814400 1042550480 1048448000 1127081600 1212268000 1241362432 1303188100 1408852000 1442664448 1551703040 1628985125 1629184000 1668080768 1677516800 1803330560 1939628800 2085100960 2096896000 2254163200 2424536000 2482724864 2606376200 2817704000 2885328896 3103406080 3257970250 3336161536 3606661120 3879257600 4170201920 4193792000 4508326400 4849072000 5212752400 5635408000 6206812160 6515940500 6672323072 7213322240 7758515200 8340403840 8387584000 9016652800 9698144000 10425504800 11270816000 12413624320 13031881000 13344646144 14426644480 15517030400 16680807680 18033305600 19396288000 20851009600 22541632000 26063762000 26689292288 31034060800 33361615360 36066611200 38792576000 41702019200 45083264000 52127524000 53378584576 62068121600 66723230720 72133222400 77585152000 83404038400 90166528000 104255048000 106757169152 133446461440 155170304000 166808076800 180333056000 208510096000 266892922880 310340608000 333616153600 360666112000 417020192000 533785845760 667232307200 834040384000 1334464614400 1668080768000 2668929228800 3336161536000 6672323072000 13344646144000
- Sum of all divisors σ(n): 35006141693952
- Sum of proper divisors (its aliquot sum) s(n): 21661495549952
- 13344646144000 is an abundant number, because the sum of its proper divisors (21661495549952) is greater than itself. Its abundance is 8316849405952
Bases of 13344646144000
- Binary: 110000100011000010101110010010100000000000002
- Hexadecimal: 0xC230AE4A000
- Base-36: 4QAG1RK74
Squares and roots of 13344646144000
- 13344646144000 squared (133446461440002) is 178079580708574068736000000
- 13344646144000 cubed (133446461440003) is 2376408990027809734096253353984000000000
-
The
square root of 13344646144000 is 3653032.4586567801 -
The
cube root of 13344646144000 is 23719.3265442045
Scales and comparisons
How big is 13344646144000?- 13,344,646,144,000 seconds is equal to 424,318 years, 24 weeks, 2 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,344,646,144,000 would take you about one million, sixty thousand, seven hundred ninety-six 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 13344646144000 cubic inches would be around 1976.6 feet tall.
Recreational maths with 13344646144000
- 13344646144000 backwards is 00044164644331
- 13344646144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13344646144000's digits is 40
- More coming soon!
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