138373729473420000
138,373,729,473,420,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138373729473420000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3360 divisors.
138373729473420000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 138373729473420000:
25 × 36 × 54 × 7 × 23 × 359 × 164201
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 23 × 359 × 164201)See below for interesting mathematical facts about the number 138373729473420000 from the Numbermatics database.
Names of 138373729473420000
- Cardinal: 138373729473420000 can be written as One hundred thirty-eight quadrillion, three hundred seventy-three trillion, seven hundred twenty-nine billion, four hundred seventy-three million, four hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3837372947342 × 1017
Factors of 138373729473420000
Divisors of 138373729473420000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 27 28 30 32 35 36 40 42 45 46 48 50 54 56 60 63 69 70 72 75 80 81 84 90 92 96 100 105 108 112 115 120 125 126 135 138 140 144 150 160 161 162 168 175 180 184 189 200 207 210 216 224 225 230 240 243 250 252 270 276 280 288 300 315 322 324 336 345 350 359 360 368 375 378 400 405 414 420 432 450 460 480 483 486 500 504 525 540 552 560 567 575 600 621 625 630 644 648 672 675 690 700 718 720 729 736 750 756 800 805 810 828 840 864 875 900 920 945 966 972 1000 1008 1035 1050 1077 1080 1104 1120 1125 1134 1150 1200 1215 1242 1250 1260 1288 1296 1350 1380 1400 1436 1440 1449 1458 1500 1512 1575 1610 1620 1656 1680 1701 1725 1750 1795 1800 1840 1863 1875 1890 1932 1944 2000 2016 2025 2070 2100 2154 2160 2208 2250 2268 2300 2400 2415 2430 2484 2500 2513 2520 2576 2592 2625 2700 2760 2800 2835 2872 2875 2898 2916 3000 3024 3105 3150 3220 3231 3240 3312 3360 3375 3402 3450 3500 3590 3600 3645 3680 3726 3750 3780 3864 3888 4000 4025 4050 4140 4200 4308 4320 4347 4375 4500 4536 4600 4725 4830 4860 4968 5000 5026 5040 5103 5152 5175 5250 5385 5400 5520 5589 5600 5625 5670 5744 5750 5796 5832 6000 6048 6075 6210 6300 6440 6462 6480 6624 6750 6804 6900 7000 7180 7200 7245 7290 7452 7500 7539 7560 7728 7776 7875 8050 8100 8257 8280 8400 8505 8616 8625 8694 8750 8975 9000 9072 9200 9315 9450 9660 9693 9720 9936 10000 10052 10080 10125 10206 10350 10500 10770 10800 11040 11178 11250 11340 11488 11500 11592 11664 12000 12075 12150 12420 12565 12600 12880 12924 12960 13041 13125 13500 13608 13800 14000 14175 14360 14375 14490 14580 14904 15000 15078 15120 15456 15525 15750 16100 16155 16200 16514 16560 16767 16800 16875 17010 17232 17250 17388 17500 17950 18000 18144 18225 18400 18630 18900 19320 19386 19440 19872 20000 20104 20125 20250 20412 20700 21000 21540 21600 21735 22356 22500 22617 22680 23000 23184 23328 23625 24150 24300 24771 24840 25130 25200 25515 25760 25848 25875 26082 26250 26925 27000 27216 27600 27945 28000 28350 28720 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1098204202170000 1106989835787360 1153114412278500 1203249821508000 1235479727441250 1281238235865000 1317845042604000 1383737294734200 1441393015348125 1504062276885000 1537485883038000 1647306303255000 1708317647820000 1729671618417750 1844983059645600 1921857353797500 1976767563906000 2005416369180000 2196408404340000 2306228824557000 2470959454882500 2562476471730000 2767474589468400 2882786030696250 3008124553770000 3074971766076000 3294612606510000 3459343236835500 3843714707595000 3953535127812000 4324179046044375 4612457649114000 4941918909765000 5124952943460000 5534949178936800 5765572061392500 6016249107540000 6589225213020000 6918686473671000 7687429415190000 8648358092088750 9224915298228000 9883837819530000 11531144122785000 13837372947342000 15374858830380000 17296716184177500 19767675639060000 23062288245570000 27674745894684000 34593432368355000 46124576491140000 69186864736710000 138373729473420000
- Sum of all divisors σ(n): 610371036718248960
- Sum of proper divisors (its aliquot sum) s(n): 471997307244828960
- 138373729473420000 is an abundant number, because the sum of its proper divisors (471997307244828960) is greater than itself. Its abundance is 333623577771408960
Bases of 138373729473420000
- Binary: 1111010111001101000101100011111111000001001011010111000002
- Hexadecimal: 0x1EB9A2C7F825AE0
- Base-36: 11UHE5R4NI00
Squares and roots of 138373729473420000
- 138373729473420000 squared (1383737294734200002) is 19147289008383222790486496400000000
- 138373729473420000 cubed (1383737294734200003) is 2649481789395408360906187564485192725688000000000000
-
The
square root of 138373729473420000 is 371986195.2726471811 -
The
cube root of 138373729473420000 is 517231.0030167353
Scales and comparisons
How big is 138373729473420000?- 138,373,729,473,420,000 seconds is equal to 4,399,856,579 years, 10 weeks, 5 days, 6 hours.
-
To count from 1 to 138,373,729,473,420,000 would take you about thirteen billion, one hundred ninety-nine million, five hundred sixty-nine thousand, seven hundred thirty-seven 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 138373729473420000 cubic inches would be around 43102.6 feet tall.
Recreational maths with 138373729473420000
- 138373729473420000 backwards is 000024374927373831
- 138373729473420000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138373729473420000's digits is 63
- More coming soon!
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"Number 138373729473420000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 138373729473420000 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/138373729473420000/
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Numbermatics. 2024. "Number 138373729473420000 - Facts about the integer". https://numbermatics.com/n/138373729473420000/
The information we have on file for 138373729473420000 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 138373729473420000, math, Factors of 138373729473420000, curriculum, school, college, exams, university, Prime factorization of 138373729473420000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred seventy-three trillion, seven hundred twenty-nine billion, four hundred seventy-three million, four hundred twenty thousand.