138814746624000000
138,814,746,624,000,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138814746624000000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 5320 divisors.
138814746624000000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand, three hundred twenty divisors.
Prime factorization of 138814746624000000:
218 × 34 × 56 × 193 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 19 × 19 × 19 × 61)See below for interesting mathematical facts about the number 138814746624000000 from the Numbermatics database.
Names of 138814746624000000
- Cardinal: 138814746624000000 can be written as One hundred thirty-eight quadrillion, eight hundred fourteen trillion, seven hundred forty-six billion, six hundred twenty-four million.
Scientific notation
- Scientific notation: 1.38814746624 × 1017
Factors of 138814746624000000
Divisors of 138814746624000000
- Number of divisors d(n): 5320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 61 64 72 75 76 80 81 90 95 96 100 108 114 120 122 125 128 135 144 150 152 160 162 171 180 183 190 192 200 216 225 228 240 244 250 256 270 285 288 300 304 305 320 324 342 360 361 366 375 380 384 400 405 432 450 456 475 480 488 500 512 513 540 549 570 576 600 608 610 625 640 648 675 684 720 722 732 750 760 768 800 810 855 864 900 912 915 950 960 976 1000 1024 1026 1080 1083 1098 1125 1140 1152 1159 1200 1216 1220 1250 1280 1296 1350 1368 1425 1440 1444 1464 1500 1520 1525 1536 1539 1600 1620 1647 1710 1728 1800 1805 1824 1830 1875 1900 1920 1952 2000 2025 2048 2052 2160 2166 2196 2250 2280 2304 2318 2375 2400 2432 2440 2500 2560 2565 2592 2700 2736 2745 2850 2880 2888 2928 3000 3040 3050 3072 3078 3125 3200 3240 3249 3294 3375 3420 3456 3477 3600 3610 3648 3660 3750 3800 3840 3904 4000 4050 4096 4104 4275 4320 4332 4392 4500 4560 4575 4608 4636 4750 4800 4864 4880 4941 5000 5120 5130 5184 5400 5415 5472 5490 5625 5700 5760 5776 5795 5856 6000 6080 6100 6144 6156 6250 6400 6480 6498 6588 6750 6840 6859 6912 6954 7125 7200 7220 7296 7320 7500 7600 7625 7680 7695 7808 8000 8100 8192 8208 8235 8550 8640 8664 8784 9000 9025 9120 9150 9216 9272 9375 9500 9600 9728 9747 9760 9882 10000 10125 10240 10260 10368 10431 10800 10830 10944 10980 11250 11400 11520 11552 11590 11712 11875 12000 12160 12200 12288 12312 12500 12800 12825 12960 12996 13176 13500 13680 13718 13725 13824 13908 14250 14400 14440 14592 14640 15000 15200 15250 15360 15390 15616 15625 16000 16200 16245 16384 16416 16470 16875 17100 17280 17328 17385 17568 18000 18050 18240 18300 18432 18544 18750 19000 19200 19456 19494 19520 19764 20000 20250 20480 20520 20577 20736 20862 21375 21600 21660 21888 21960 22021 22500 22800 22875 23040 23104 23180 23424 23750 24000 24320 24400 24576 24624 24705 25000 25600 25650 25920 25992 26352 27000 27075 27360 27436 27450 27648 27816 28125 28500 28800 28880 28975 29184 29241 29280 30000 30400 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- Sum of all divisors σ(n): 556172095276368560
- Sum of proper divisors (its aliquot sum) s(n): 417357348652368560
- 138814746624000000 is an abundant number, because the sum of its proper divisors (417357348652368560) is greater than itself. Its abundance is 278542602028368560
Bases of 138814746624000000
- Binary: 1111011010010101101000110110011100001110000000000000000002
- Hexadecimal: 0x1ED2B46CE1C0000
- Base-36: 11YTPY8HDS00
Squares and roots of 138814746624000000
- 138814746624000000 squared (1388147466240000002) is 19269533880285319397376000000000000
- 138814746624000000 cubed (1388147466240000003) is 2674895463154390160973661810458624000000000000000000
-
The
square root of 138814746624000000 is 372578510.6846609315 -
The
cube root of 138814746624000000 is 517779.9170211035
Scales and comparisons
How big is 138814746624000000?- 138,814,746,624,000,000 seconds is equal to 4,413,879,560 years, 22 weeks, 6 days.
-
To count from 1 to 138,814,746,624,000,000 would take you about thirteen billion, two hundred forty-one million, six hundred thirty-eight thousand, six hundred eighty-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 138814746624000000 cubic inches would be around 43148.3 feet tall.
Recreational maths with 138814746624000000
- 138814746624000000 backwards is 000000426647418831
- 138814746624000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138814746624000000's digits is 54
- More coming soon!
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"Number 138814746624000000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138814746624000000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138814746624000000/
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The information we have on file for 138814746624000000 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 138814746624000000, math, Factors of 138814746624000000, curriculum, school, college, exams, university, Prime factorization of 138814746624000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred fourteen trillion, seven hundred forty-six billion, six hundred twenty-four million.