138152327040000
138,152,327,040,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138152327040000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2640 divisors.
138152327040000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 138152327040000:
210 × 32 × 54 × 7 × 13 × 53 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 53 × 4973)See below for interesting mathematical facts about the number 138152327040000 from the Numbermatics database.
Names of 138152327040000
- Cardinal: 138152327040000 can be written as One hundred thirty-eight trillion, one hundred fifty-two billion, three hundred twenty-seven million, forty thousand.
Scientific notation
- Scientific notation: 1.3815232704 × 1014
Factors of 138152327040000
Divisors of 138152327040000
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 53 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 106 112 117 120 125 126 128 130 140 144 150 156 159 160 168 175 180 182 192 195 200 208 210 212 224 225 234 240 250 252 256 260 265 273 280 288 300 312 315 318 320 325 336 350 360 364 371 375 384 390 400 416 420 424 448 450 455 468 477 480 500 504 512 520 525 530 546 560 576 585 600 624 625 630 636 640 650 672 689 700 720 728 742 750 768 780 795 800 819 832 840 848 875 896 900 910 936 954 960 975 1000 1008 1024 1040 1050 1060 1092 1113 1120 1125 1152 1170 1200 1248 1250 1260 1272 1280 1300 1325 1344 1365 1378 1400 1440 1456 1484 1500 1536 1560 1575 1590 1600 1625 1638 1664 1680 1696 1750 1792 1800 1820 1855 1872 1875 1908 1920 1950 2000 2016 2067 2080 2100 2120 2184 2226 2240 2250 2275 2304 2340 2385 2400 2496 2500 2520 2544 2560 2600 2625 2650 2688 2730 2756 2800 2880 2912 2925 2968 3000 3072 3120 3150 3180 3200 3250 3276 3328 3339 3360 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230253878400 236157824000 239847790000 246700584000 253026240000 260664768000 263147289600 265677552000 269828763750 274111760000 276304654080 287817348000 289627520000 295197280000 303631488000 307005171200 308375730000 325830960000 328934112000 332096940000 345380817600 354236736000 359771685000 368406205440 372378240000 379539360000 383756464000 394720934400 411167640000 425084083200 431726022000 434441280000 438578816000 442795920000 460507756800 479695580000 493401168000 506052480000 521329536000 531355104000 539657527500 548223520000 552609308160 575634696000 590394560000 614010342400 616751460000 651661920000 657868224000 664193880000 690761635200 708473472000 719543370000 759078720000 767512928000 789441868800 822335280000 863452044000 868882560000 885591840000 921015513600 959391160000 986802336000 1062710208000 1079315055000 1096447040000 1105218616320 1151269392000 1180789120000 1233502920000 1303323840000 1315736448000 1328387760000 1381523270400 1439086740000 1518157440000 1535025856000 1644670560000 1726904088000 1771183680000 1842031027200 1918782320000 1973604672000 2125420416000 2158630110000 2192894080000 2302538784000 2467005840000 2606647680000 2656775520000 2763046540800 2878173480000 3070051712000 3289341120000 3453808176000 3542367360000 3837564640000 3947209344000 4317260220000 4605077568000 4934011680000 5313551040000 5526093081600 5756346960000 6578682240000 6907616352000 7675129280000 8634520440000 9210155136000 9868023360000 10627102080000 11512693920000 13815232704000 15350258560000 17269040880000 19736046720000 23025387840000 27630465408000 34538081760000 46050775680000 69076163520000 138152327040000
- Sum of all divisors σ(n): 625215580621632
- Sum of proper divisors (its aliquot sum) s(n): 487063253581632
- 138152327040000 is an abundant number, because the sum of its proper divisors (487063253581632) is greater than itself. Its abundance is 348910926541632
Bases of 138152327040000
- Binary: 111110110100110000110000110000011001100000000002
- Hexadecimal: 0x7DA61860CC00
- Base-36: 1CYYAWJ5S0
Squares and roots of 138152327040000
- 138152327040000 squared (1381523270400002) is 19086065466567115161600000000
- 138152327040000 cubed (1381523270400003) is 2636784358244030279914705649664000000000000
-
The
square root of 138152327040000 is 11753821.8056936697 -
The
cube root of 138152327040000 is 51695.4993656593
Scales and comparisons
How big is 138152327040000?- 138,152,327,040,000 seconds is equal to 4,392,816 years, 34 weeks, 4 days, 16 hours.
-
To count from 1 to 138,152,327,040,000 would take you about ten million, nine hundred eighty-two thousand and forty-one 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 138152327040000 cubic inches would be around 4308 feet tall.
Recreational maths with 138152327040000
- 138152327040000 backwards is 000040723251831
- 138152327040000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138152327040000's digits is 36
- More coming soon!
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Numbermatics. (2024). Number 138152327040000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138152327040000/
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The information we have on file for 138152327040000 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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