138034165248000
138,034,165,248,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138034165248000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3744 divisors.
138034165248000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, seven hundred forty-four divisors.
Prime factorization of 138034165248000:
212 × 32 × 53 × 7 × 312 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 31 × 31 × 61 × 73)See below for interesting mathematical facts about the number 138034165248000 from the Numbermatics database.
Names of 138034165248000
- Cardinal: 138034165248000 can be written as One hundred thirty-eight trillion, thirty-four billion, one hundred sixty-five million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38034165248 × 1014
Factors of 138034165248000
Divisors of 138034165248000
- Number of divisors d(n): 3744
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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 24 25 28 30 31 32 35 36 40 42 45 48 50 56 60 61 62 63 64 70 72 73 75 80 84 90 93 96 100 105 112 120 122 124 125 126 128 140 144 146 150 155 160 168 175 180 183 186 192 200 210 217 219 224 225 240 244 248 250 252 256 279 280 288 292 300 305 310 315 320 336 350 360 365 366 372 375 384 400 420 427 434 438 448 450 465 480 488 496 500 504 511 512 525 549 558 560 576 584 600 610 620 630 640 651 657 672 700 720 730 732 744 750 768 775 800 840 854 868 875 876 896 900 915 930 960 961 976 992 1000 1008 1022 1024 1050 1085 1095 1098 1116 1120 1125 1152 1168 1200 1220 1240 1260 1280 1281 1302 1314 1344 1395 1400 1440 1460 1464 1488 1500 1525 1533 1536 1550 1575 1600 1680 1708 1736 1750 1752 1792 1800 1825 1830 1860 1891 1920 1922 1952 1953 1984 2000 2016 2044 2048 2100 2135 2170 2190 2196 2232 2240 2250 2263 2304 2325 2336 2400 2440 2480 2520 2555 2560 2562 2604 2625 2628 2688 2745 2790 2800 2880 2883 2920 2928 2976 3000 3050 3066 3072 3100 3150 3200 3255 3285 3360 3416 3472 3500 3504 3584 3600 3650 3660 3720 3782 3840 3843 3844 3875 3904 3906 3968 4000 4032 4088 4096 4200 4270 4340 4380 4392 4453 4464 4480 4500 4526 4575 4599 4608 4650 4672 4800 4805 4880 4960 5040 5110 5120 5124 5208 5250 5256 5376 5425 5475 5490 5580 5600 5673 5760 5766 5840 5856 5952 6000 6100 6132 6144 6200 6300 6400 6405 6510 6570 6720 6727 6789 6832 6944 6975 7000 7008 7168 7200 7300 7320 7440 7564 7625 7665 7680 7686 7688 7750 7808 7812 7875 7936 8000 8064 8176 8400 8540 8649 8680 8760 8784 8906 8928 8960 9000 9052 9125 9150 9198 9216 9300 9344 9455 9600 9610 9760 9765 9920 10080 10220 10240 10248 10416 10500 10512 10675 10752 10850 10950 10980 11160 11200 11315 11346 11520 11532 11625 11680 11712 11904 12000 12200 12264 12288 12400 12600 12775 12800 12810 13020 13140 13237 13359 13440 13454 13578 13664 13725 13888 13950 14000 14016 14336 14400 14415 14600 14640 14880 15128 15250 15330 15360 15372 15376 15500 15616 15624 15750 15841 15872 16000 16128 16275 16352 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492979161600 494746112000 539195958000 547754624000 552136660992 556589376000 565713792000 575142355200 613485178880 616223952000 630292992000 636102144000 657305548800 690170826240 718927944000 742119168000 754285056000 766856473600 788766658560 821631936000 862713532800 890543001600 920227768320 945439488000 958570592000 985958323200 1078391916000 1095509248000 1104273321984 1113178752000 1131427584000 1150284710400 1232447904000 1314611097600 1380341652480 1437855888000 1484238336000 1533712947200 1643263872000 1725427065600 1840455536640 1890878976000 1917141184000 1971916646400 2156783832000 2191018496000 2226357504000 2262855168000 2300569420800 2464895808000 2760683304960 2875711776000 3067425894400 3286527744000 3450854131200 3834282368000 3943833292800 4313567664000 4452715008000 4601138841600 4929791616000 5521366609920 5751423552000 6573055488000 6901708262400 7668564736000 8627135328000 9202277683200 9859583232000 11502847104000 13803416524800 15337129472000 17254270656000 19719166464000 23005694208000 27606833049600 34508541312000 46011388416000 69017082624000 138034165248000
- Sum of all divisors σ(n): 605434996573056
- Sum of proper divisors (its aliquot sum) s(n): 467400831325056
- 138034165248000 is an abundant number, because the sum of its proper divisors (467400831325056) is greater than itself. Its abundance is 329366666077056
Bases of 138034165248000
- Binary: 111110110001010100101010110001011110000000000002
- Hexadecimal: 0x7D8A9562F000
- Base-36: 1CXG0Q1VK0
Squares and roots of 138034165248000
- 138034165248000 squared (1380341652480002) is 19053430775712170901504000000
- 138034165248000 cubed (1380341652480003) is 2630024412235982623103020267732992000000000
-
The
square root of 138034165248000 is 11748794.2040023835 -
The
cube root of 138034165248000 is 51680.7567615641
Scales and comparisons
How big is 138034165248000?- 138,034,165,248,000 seconds is equal to 4,389,059 years, 25 weeks, 2 days, 8 hours.
-
To count from 1 to 138,034,165,248,000 would take you about ten million, nine hundred seventy-two thousand, six hundred forty-eight 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 138034165248000 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138034165248000
- 138034165248000 backwards is 000842561430831
- 138034165248000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138034165248000's digits is 45
- More coming soon!
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"Number 138034165248000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138034165248000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138034165248000/
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The information we have on file for 138034165248000 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 138034165248000, math, Factors of 138034165248000, curriculum, school, college, exams, university, Prime factorization of 138034165248000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, thirty-four billion, one hundred sixty-five million, two hundred forty-eight thousand.