138081978675200000
138,081,978,675,200,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138081978675200000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3840 divisors.
138081978675200000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138081978675200000:
215 × 55 × 74 × 37 × 43 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 37 × 43 × 353)See below for interesting mathematical facts about the number 138081978675200000 from the Numbermatics database.
Names of 138081978675200000
- Cardinal: 138081978675200000 can be written as One hundred thirty-eight quadrillion, eighty-one trillion, nine hundred seventy-eight billion, six hundred seventy-five million, two hundred thousand.
Scientific notation
- Scientific notation: 1.380819786752 × 1017
Factors of 138081978675200000
Divisors of 138081978675200000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 43 49 50 56 64 70 74 80 86 98 100 112 125 128 140 148 160 172 175 185 196 200 215 224 245 250 256 259 280 296 301 320 343 344 350 353 370 392 400 430 448 490 500 512 518 560 592 602 625 640 686 688 700 706 740 784 800 860 875 896 925 980 1000 1024 1036 1075 1120 1184 1204 1225 1250 1280 1295 1372 1376 1400 1412 1480 1505 1568 1591 1600 1715 1720 1750 1765 1792 1813 1850 1960 2000 2048 2072 2107 2150 2240 2368 2401 2408 2450 2471 2500 2560 2590 2744 2752 2800 2824 2960 3010 3125 3136 3182 3200 3430 3440 3500 3530 3584 3626 3700 3920 4000 4096 4144 4214 4300 4375 4480 4625 4736 4802 4816 4900 4942 5000 5120 5180 5375 5488 5504 5600 5648 5920 6020 6125 6250 6272 6364 6400 6475 6860 6880 7000 7060 7168 7252 7400 7525 7840 7955 8000 8192 8288 8428 8575 8600 8750 8825 8960 9065 9250 9472 9604 9632 9800 9884 10000 10240 10360 10535 10750 10976 11008 11137 11200 11296 11840 12005 12040 12250 12355 12500 12544 12691 12728 12800 12950 13061 13720 13760 14000 14120 14336 14504 14749 14800 15050 15179 15680 15910 16000 16384 16576 16856 17150 17200 17297 17500 17650 17920 18130 18500 18944 19208 19264 19600 19768 20000 20480 20720 21070 21500 21875 21952 22016 22274 22400 22592 23125 23680 24010 24080 24500 24710 25000 25088 25382 25456 25600 25900 26122 26875 27440 27520 28000 28240 28672 29008 29498 29600 30100 30358 30625 31360 31820 32000 32375 32768 33152 33712 34300 34400 34594 35000 35300 35840 36260 37000 37625 37888 38416 38528 39200 39536 39775 40000 40960 41440 42140 42875 43000 43750 43904 44032 44125 44548 44800 45184 45325 46250 47360 48020 48160 49000 49420 50000 50176 50764 50912 51200 51800 52244 52675 53750 54880 55040 55685 56000 56480 57344 58016 58996 59200 60025 60200 60716 61250 61775 62720 63455 63640 64000 64750 65305 66304 67424 68600 68800 69188 70000 70600 71680 72520 73745 74000 75250 75776 75895 76832 77056 77959 78400 79072 79550 80000 81920 82880 84280 85750 86000 86485 87500 87808 88064 88250 88837 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493149923840000 533135052800000 539382729200000 552327914700800 563599912960000 616437404800000 642241761280000 690409893376000 704499891200000 746389073920000 789039878144000 802802201600000 863012366720000 932986342400000 986299847680000 1078765458400000 1104655829401600 1232874809600000 1380819786752000 1408999782400000 1605604403200000 1726024733440000 1865972684800000 1972599695360000 2157530916800000 2465749619200000 2761639573504000 2817999564800000 3211208806400000 3452049466880000 3731945369600000 3945199390720000 4315061833600000 4931499238400000 5523279147008000 6904098933760000 8630123667200000 9862998476800000 13808197867520000 17260247334400000 19725996953600000 27616395735040000 34520494668800000 69040989337600000 138081978675200000
- Sum of all divisors σ(n): 424383203377536480
- Sum of proper divisors (its aliquot sum) s(n): 286301224702336480
- 138081978675200000 is an abundant number, because the sum of its proper divisors (286301224702336480) is greater than itself. Its abundance is 148219246027136480
Bases of 138081978675200000
- Binary: 1111010101001000011010011111110001101000110000000000000002
- Hexadecimal: 0x1EA90D3F8D18000
- Base-36: 11RLZ5AC6ARK
Squares and roots of 138081978675200000
- 138081978675200000 squared (1380819786752000002) is 19066632834858387547095040000000000
- 138081978675200000 cubed (1380819786752000003) is 2632758388510783992489834548987691008000000000000000
-
The
square root of 138081978675200000 is 371593835.6259425359 -
The
cube root of 138081978675200000 is 516867.2327678397
Scales and comparisons
How big is 138081978675200000?- 138,081,978,675,200,000 seconds is equal to 4,390,579,806 years, 13 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,081,978,675,200,000 would take you about thirteen billion, one hundred seventy-one million, seven hundred thirty-nine thousand, four hundred eighteen 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 138081978675200000 cubic inches would be around 43072.3 feet tall.
Recreational maths with 138081978675200000
- 138081978675200000 backwards is 000002576879180831
- The number of decimal digits it has is: 18
- The sum of 138081978675200000's digits is 65
- More coming soon!
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The information we have on file for 138081978675200000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138081978675200000, math, Factors of 138081978675200000, curriculum, school, college, exams, university, Prime factorization of 138081978675200000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eighty-one trillion, nine hundred seventy-eight billion, six hundred seventy-five million, two hundred thousand.