138746492006400000
138,746,492,006,400,000 is an even composite number composed of five prime numbers multiplied together.
138746492006400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138746492006400000:
215 × 34 × 55 × 43 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 43 × 73 × 73 × 73)See below for interesting mathematical facts about the number 138746492006400000 from the Numbermatics database.
Names of 138746492006400000
- Cardinal: 138746492006400000 can be written as One hundred thirty-eight quadrillion, seven hundred forty-six trillion, four hundred ninety-two billion, six million, four hundred thousand.
Scientific notation
- Scientific notation: 1.387464920064 × 1017
Factors of 138746492006400000
Divisors of 138746492006400000
- Number of divisors d(n): 3840
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 43 45 48 50 54 60 64 72 73 75 80 81 86 90 96 100 108 120 125 128 129 135 144 146 150 160 162 172 180 192 200 215 216 219 225 240 250 256 258 270 288 292 300 320 324 344 360 365 375 384 387 400 405 430 432 438 450 480 500 512 516 540 576 584 600 625 640 645 648 657 675 688 720 730 750 768 774 800 810 860 864 876 900 960 1000 1024 1032 1075 1080 1095 1125 1152 1161 1168 1200 1250 1280 1290 1296 1314 1350 1376 1440 1460 1500 1536 1548 1600 1620 1720 1728 1752 1800 1825 1875 1920 1935 1971 2000 2025 2048 2064 2150 2160 2190 2250 2304 2322 2336 2400 2500 2560 2580 2592 2628 2700 2752 2880 2920 3000 3072 3096 3125 3139 3200 3225 3240 3285 3375 3440 3456 3483 3504 3600 3650 3750 3840 3870 3942 4000 4050 4096 4128 4300 4320 4380 4500 4608 4644 4672 4800 5000 5120 5160 5184 5256 5329 5375 5400 5475 5504 5625 5760 5805 5840 5913 6000 6144 6192 6250 6278 6400 6450 6480 6570 6750 6880 6912 6966 7008 7200 7300 7500 7680 7740 7884 8000 8100 8192 8256 8600 8640 8760 9000 9125 9216 9288 9344 9375 9417 9600 9675 9855 10000 10125 10240 10320 10368 10512 10658 10750 10800 10950 11008 11250 11520 11610 11680 11826 12000 12288 12384 12500 12556 12800 12900 12960 13140 13500 13760 13824 13932 14016 14400 14600 15000 15360 15480 15695 15768 15987 16000 16125 16200 16384 16425 16512 16875 17200 17280 17415 17520 18000 18250 18432 18576 18688 18750 18834 19200 19350 19710 20000 20250 20480 20640 20736 21024 21316 21500 21600 21900 22016 22500 23040 23220 23360 23652 24000 24576 24768 25000 25112 25600 25800 25920 26280 26645 26875 27000 27375 27520 27648 27864 28032 28125 28251 28800 29025 29200 29565 30000 30720 30960 31390 31536 31974 32000 32250 32400 32768 32850 33024 33750 34400 34560 34830 35040 36000 36500 36864 37152 37376 37500 37668 38400 38700 39420 40000 40500 40960 41280 41472 42048 42632 43000 43200 43800 44032 45000 45625 46080 46440 46720 47085 47304 47961 48000 48375 49152 49275 49536 50000 50224 50625 51200 51600 51840 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963517305600000 1027751792640000 1075554201600000 1083956968800000 1109971936051200 1156220766720000 1284689740800000 1387464920064000 1445275958400000 1541627688960000 1613331302400000 1712919654400000 1734331150080000 1849953226752000 1900636876800000 1927034611200000 2167913937600000 2312441533440000 2569379481600000 2774929840128000 2890551916800000 3083255377920000 3226662604800000 3468662300160000 3854069222400000 4335827875200000 4624883066880000 5138758963200000 5549859680256000 5781103833600000 6937324600320000 7708138444800000 8671655750400000 9249766133760000 11562207667200000 13874649200640000 15416276889600000 17343311500800000 23124415334400000 27749298401280000 34686623001600000 46248830668800000 69373246003200000 138746492006400000
- Sum of all divisors σ(n): 537529765669696800
- Sum of proper divisors (its aliquot sum) s(n): 398783273663296800
- 138746492006400000 is an abundant number, because the sum of its proper divisors (398783273663296800) is greater than itself. Its abundance is 260036781656896800
Bases of 138746492006400000
- Binary: 1111011001110110100110011000010011101111110000000000000002
- Hexadecimal: 0x1ECED3309DF8000
- Base-36: 11Y5IYHWCG00
Squares and roots of 138746492006400000
- 138746492006400000 squared (1387464920064000002) is 19250589044082019097640960000000000
- 138746492006400000 cubed (1387464920064000003) is 2670951698923217279956813597737222144000000000000000
-
The
square root of 138746492006400000 is 372486901.7917274363 -
The
cube root of 138746492006400000 is 517695.0397176039
Scales and comparisons
How big is 138746492006400000?- 138,746,492,006,400,000 seconds is equal to 4,411,709,274 years, 37 weeks, 5 days.
-
To count from 1 to 138,746,492,006,400,000 would take you about thirteen billion, two hundred thirty-five million, one hundred twenty-seven thousand, eight hundred twenty-four 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 138746492006400000 cubic inches would be around 43141.3 feet tall.
Recreational maths with 138746492006400000
- 138746492006400000 backwards is 000004600294647831
- 138746492006400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138746492006400000's digits is 54
- More coming soon!
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"Number 138746492006400000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138746492006400000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138746492006400000/
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The information we have on file for 138746492006400000 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 138746492006400000, math, Factors of 138746492006400000, curriculum, school, college, exams, university, Prime factorization of 138746492006400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred forty-six trillion, four hundred ninety-two billion, six million, four hundred thousand.