138226916800
138,226,916,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138226916800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 168 divisors.
138226916800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 138226916800:
26 × 52 × 7 × 31 × 398119
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 31 × 398119)See below for interesting mathematical facts about the number 138226916800 from the Numbermatics database.
Names of 138226916800
- Cardinal: 138226916800 can be written as One hundred thirty-eight billion, two hundred twenty-six million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382269168 × 1011
Factors of 138226916800
Divisors of 138226916800
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 140 155 160 175 200 217 224 248 280 310 320 350 400 434 448 496 560 620 700 775 800 868 992 1085 1120 1240 1400 1550 1600 1736 1984 2170 2240 2480 2800 3100 3472 4340 4960 5425 5600 6200 6944 8680 9920 10850 11200 12400 13888 17360 21700 24800 34720 43400 49600 69440 86800 173600 347200 398119 796238 1592476 1990595 2786833 3184952 3981190 5573666 6369904 7962380 9952975 11147332 12341689 12739808 13934165 15924760 19905950 22294664 24683378 25479616 27868330 31849520 39811900 44589328 49366756 55736660 61708445 63699040 69670825 79623800 86391823 89178656 98733512 111473320 123416890 127398080 139341650 159247600 172783646 178357312 197467024 222946640 246833780 278683300 308542225 318495200 345567292 394934048 431959115 445893280 493667560 557366600 617084450 636990400 691134584 789868096 863918230 891786560 987335120 1114733200 1234168900 1382269168 1727836460 1974670240 2159795575 2229466400 2468337800 2764538336 3455672920 3949340480 4319591150 4458932800 4936675600 5529076672 6911345840 8639182300 9873351200 13822691680 17278364600 19746702400 27645383360 34556729200 69113458400 138226916800
- Sum of all divisors σ(n): 401254000640
- Sum of proper divisors (its aliquot sum) s(n): 263027083840
- 138226916800 is an abundant number, because the sum of its proper divisors (263027083840) is greater than itself. Its abundance is 124800167040
Bases of 138226916800
- Binary: 100000001011101111011101011101110000002
- Hexadecimal: 0x202EF75DC0
- Base-36: 1RI0QJLS
Squares and roots of 138226916800
- 138226916800 squared (1382269168002) is 19106680528034122240000
- 138226916800 cubed (1382269168003) is 2641057539672752682429509632000000
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The
square root of 138226916800 is 371788.8067169317 -
The
cube root of 138226916800 is 5170.4801322967
Scales and comparisons
How big is 138226916800?- 138,226,916,800 seconds is equal to 4,395 years, 9 weeks, 5 days, 13 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,226,916,800 would take you about eight thousand, seven hundred ninety 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 138226916800 cubic inches would be around 430.9 feet tall.
Recreational maths with 138226916800
- 138226916800 backwards is 008619622831
- The number of decimal digits it has is: 12
- The sum of 138226916800's digits is 46
- More coming soon!
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