138044065344640000
138,044,065,344,640,000 is an even composite number composed of six prime numbers multiplied together.
138044065344640000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, two hundred eighty divisors.
Prime factorization of 138044065344640000:
210 × 54 × 72 × 13 × 173 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 17 × 17 × 17 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138044065344640000 from the Numbermatics database.
Names of 138044065344640000
- Cardinal: 138044065344640000 can be written as One hundred thirty-eight quadrillion, forty-four trillion, sixty-five billion, three hundred forty-four million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3804406534464 × 1017
Factors of 138044065344640000
Divisors of 138044065344640000
- Number of divisors d(n): 5280
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 41 49 50 52 56 64 65 68 70 80 82 85 91 98 100 104 112 119 125 128 130 136 140 160 164 170 175 182 196 200 205 208 221 224 238 245 250 256 260 272 280 287 289 320 325 328 340 350 364 392 400 410 416 425 442 448 455 476 490 500 512 520 533 544 560 574 578 595 625 637 640 650 656 680 697 700 728 784 800 820 832 833 850 875 884 896 910 952 980 1000 1024 1025 1040 1066 1088 1105 1120 1148 1156 1190 1225 1250 1274 1280 1300 1312 1360 1394 1400 1435 1445 1456 1547 1568 1600 1625 1640 1664 1666 1681 1700 1750 1768 1792 1820 1904 1960 2000 2009 2023 2050 2080 2125 2132 2176 2210 2240 2275 2296 2312 2380 2450 2500 2548 2560 2600 2624 2665 2720 2788 2800 2870 2890 2912 2975 3094 3136 3185 3200 3250 3280 3328 3332 3362 3400 3485 3500 3536 3584 3640 3731 3757 3808 3920 4000 4018 4046 4100 4160 4165 4250 4264 4352 4375 4420 4480 4550 4592 4624 4760 4879 4900 4913 5000 5096 5120 5125 5200 5248 5330 5440 5525 5576 5600 5740 5780 5824 5950 6125 6188 6272 6370 6400 6500 6560 6656 6664 6724 6800 6970 7000 7072 7168 7175 7225 7280 7462 7514 7616 7735 7840 8000 8036 8092 8125 8200 8320 8330 8405 8500 8528 8704 8750 8840 8960 9061 9100 9184 9248 9520 9758 9800 9826 10000 10045 10115 10192 10250 10400 10496 10625 10660 10829 10880 11050 11152 11200 11375 11480 11560 11648 11767 11849 11900 12250 12376 12544 12740 12800 13000 13120 13312 13325 13328 13448 13600 13940 14000 14144 14161 14350 14450 14560 14875 14924 15028 15232 15470 15680 15925 16000 16072 16184 16250 16400 16640 16660 16810 17000 17056 17408 17425 17500 17680 17920 18122 18200 18368 18496 18655 18785 19040 19516 19600 19652 20000 20090 20230 20384 20500 20800 20825 20992 21250 21320 21658 21760 21853 22100 22304 22400 22750 22960 23120 23296 23534 23698 23800 24395 24500 24565 24752 25088 25480 25600 25625 26000 26117 26240 26299 26650 26656 26896 27200 27625 27880 28000 28288 28322 28577 28700 28900 29120 29750 29848 30056 30464 30625 30940 31360 31850 32000 32144 32368 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4313877042020000 4930145190880000 5309387128640000 5521762613785600 6902203267232000 8120239137920000 8627754084040000 9860290381760000 10618774257280000 13804406534464000 17255508168080000 19720580763520000 27608813068928000 34511016336160000 69022032672320000 138044065344640000
- Sum of all divisors σ(n): 470454419559912480
- Sum of proper divisors (its aliquot sum) s(n): 332410354215272480
- 138044065344640000 is an abundant number, because the sum of its proper divisors (332410354215272480) is greater than itself. Its abundance is 194366288870632480
Bases of 138044065344640000
- Binary: 1111010100110111001011000100101100011011111010100000000002
- Hexadecimal: 0x1EA6E589637D400
- Base-36: 11R8JC561WCG
Squares and roots of 138044065344640000
- 138044065344640000 squared (1380440653446400002) is 19056163976875238241976729600000000
- 138044065344640000 cubed (1380440653446400003) is 2630590345241940237756203497104684089344000000000000
-
The
square root of 138044065344640000 is 371542817.6464187821 -
The
cube root of 138044065344640000 is 516819.9228238327
Scales and comparisons
How big is 138044065344640000?- 138,044,065,344,640,000 seconds is equal to 4,389,374,279 years, 32 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,044,065,344,640,000 would take you about thirteen billion, one hundred sixty-eight million, one hundred twenty-two thousand, eight hundred thirty-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 138044065344640000 cubic inches would be around 43068.3 feet tall.
Recreational maths with 138044065344640000
- 138044065344640000 backwards is 000046443560440831
- 138044065344640000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138044065344640000's digits is 52
- More coming soon!
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Cite this page
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"Number 138044065344640000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 138044065344640000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/138044065344640000/
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Numbermatics. 2024. "Number 138044065344640000 - Facts about the integer". https://numbermatics.com/n/138044065344640000/
The information we have on file for 138044065344640000 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 138044065344640000, math, Factors of 138044065344640000, curriculum, school, college, exams, university, Prime factorization of 138044065344640000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, forty-four trillion, sixty-five billion, three hundred forty-four million, six hundred forty thousand.