138613406975680000
138,613,406,975,680,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138613406975680000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
138613406975680000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138613406975680000:
29 × 54 × 72 × 13 × 37 × 941 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 37 × 941 × 19531)See below for interesting mathematical facts about the number 138613406975680000 from the Numbermatics database.
Names of 138613406975680000
- Cardinal: 138613406975680000 can be written as One hundred thirty-eight quadrillion, six hundred thirteen trillion, four hundred six billion, nine hundred seventy-five million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3861340697568 × 1017
Factors of 138613406975680000
Divisors of 138613406975680000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 49 50 52 56 64 65 70 74 80 91 98 100 104 112 125 128 130 140 148 160 175 182 185 196 200 208 224 245 250 256 259 260 280 296 320 325 350 364 370 392 400 416 448 455 481 490 500 512 518 520 560 592 625 637 640 650 700 728 740 784 800 832 875 896 910 925 941 962 980 1000 1036 1040 1120 1184 1225 1250 1274 1280 1295 1300 1400 1456 1480 1568 1600 1625 1664 1750 1792 1813 1820 1850 1882 1924 1960 2000 2072 2080 2240 2275 2368 2405 2450 2500 2548 2560 2590 2600 2800 2912 2960 3136 3185 3200 3250 3328 3367 3500 3584 3626 3640 3700 3764 3848 3920 4000 4144 4160 4375 4480 4550 4625 4705 4736 4810 4900 5000 5096 5180 5200 5600 5824 5920 6125 6272 6370 6400 6475 6500 6587 6656 6734 7000 7252 7280 7400 7528 7696 7840 8000 8125 8288 8320 8750 8960 9065 9100 9250 9410 9472 9620 9800 10000 10192 10360 10400 11200 11375 11648 11840 12025 12233 12250 12544 12740 12800 12950 13000 13174 13468 14000 14504 14560 14800 15056 15392 15680 15925 16000 16250 16576 16640 16835 17500 17920 18130 18200 18500 18820 18944 19240 19531 19600 20000 20384 20720 20800 22400 22750 23125 23296 23525 23569 23680 24050 24466 24500 25088 25480 25900 26000 26348 26936 28000 29008 29120 29600 30112 30625 30784 31360 31850 32000 32375 32500 32935 33152 33280 33670 34817 35000 36260 36400 37000 37640 38480 39062 39200 40000 40768 41440 41600 44800 45325 45500 46109 46250 46592 47050 47138 47360 48100 48932 49000 50960 51800 52000 52696 53872 56000 56875 58016 58240 59200 60125 60224 61165 61250 61568 62720 63700 64000 64750 65000 65870 66304 67340 69634 70000 72520 72800 74000 75280 76960 78124 78400 79625 80000 81536 82880 83200 84175 85631 89600 90650 91000 92218 92500 94100 94276 94720 96200 97655 97864 98000 101920 103600 104000 105392 107744 112000 113750 116032 116480 117625 117845 118400 120250 120448 122330 122500 123136 125440 127400 129500 130000 131740 132608 134680 136717 139268 140000 145040 145600 148000 150560 153920 156248 156800 159250 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198019152822400 213251395347200 216583448399500 217603464640000 221781451161088 234144268540000 247523941028000 266564244184000 267593449760000 270729310499375 277226813951360 282884504032000 288177561280000 304644850496000 309404926285000 333205305230000 346533517439200 353605630040000 374630829664000 380806063120000 396038305644800 426502790694400 433166896799000 468288537080000 495047882056000 533128488368000 535186899520000 541458620998750 554453627902720 565769008064000 618809852570000 666410610460000 693067034878400 707211260080000 749261659328000 761612126240000 792076611289600 866333793598000 936577074160000 990095764112000 1066256976736000 1082917241997500 1108907255805440 1237619705140000 1332821220920000 1386134069756800 1414422520160000 1523224252480000 1732667587196000 1873154148320000 1980191528224000 2132513953472000 2165834483995000 2475239410280000 2665642441840000 2772268139513600 2828845040320000 3465335174392000 3746308296640000 3960383056448000 4331668967990000 4950478820560000 5331284883680000 5544536279027200 6930670348784000 8663337935980000 9900957641120000 10662569767360000 13861340697568000 17326675871960000 19801915282240000 27722681395136000 34653351743920000 69306703487840000 138613406975680000
- Sum of all divisors σ(n): 445769934863365728
- Sum of proper divisors (its aliquot sum) s(n): 307156527887685728
- 138613406975680000 is an abundant number, because the sum of its proper divisors (307156527887685728) is greater than itself. Its abundance is 168543120912005728
Bases of 138613406975680000
- Binary: 1111011000111010000101000110000111110010001011110000000002
- Hexadecimal: 0x1EC7428C3E45E00
- Base-36: 11WUCO2T7IF4
Squares and roots of 138613406975680000
- 138613406975680000 squared (1386134069756800002) is 19213676593405492884111462400000000
- 138613406975680000 cubed (1386134069756800003) is 2663273173140812486429324384074806034432000000000000
-
The
square root of 138613406975680000 is 372308215.0257767277 -
The
cube root of 138613406975680000 is 517529.4631572439
Scales and comparisons
How big is 138613406975680000?- 138,613,406,975,680,000 seconds is equal to 4,407,477,582 years, 21 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,613,406,975,680,000 would take you about thirteen billion, two hundred twenty-two million, four hundred thirty-two thousand, seven hundred forty-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 138613406975680000 cubic inches would be around 43127.5 feet tall.
Recreational maths with 138613406975680000
- 138613406975680000 backwards is 000086579604316831
- The number of decimal digits it has is: 18
- The sum of 138613406975680000's digits is 67
- More coming soon!
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"Number 138613406975680000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138613406975680000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138613406975680000/
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The information we have on file for 138613406975680000 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!
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