137742916386816000000
137,742,916,386,816,000,000 is an even composite number composed of five prime numbers multiplied together.
137742916386816000000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eleven thousand and eighty-eight divisors.
Prime factorization of 137742916386816000000:
223 × 310 × 56 × 13 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 37 × 37)See below for interesting mathematical facts about the number 137742916386816000000 from the Numbermatics database.
Names of 137742916386816000000
- Cardinal: 137742916386816000000 can be written as One hundred thirty-seven quintillion, seven hundred forty-two quadrillion, nine hundred sixteen trillion, three hundred eighty-six billion, eight hundred sixteen million.
Scientific notation
- Scientific notation: 1.37742916386816 × 1020
Factors of 137742916386816000000
Divisors of 137742916386816000000
- Number of divisors d(n): 11088
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 37 39 40 45 48 50 52 54 60 64 65 72 74 75 78 80 81 90 96 100 104 108 111 117 120 125 128 130 135 144 148 150 156 160 162 180 185 192 195 200 208 216 222 225 234 240 243 250 256 260 270 288 296 300 312 320 324 325 333 351 360 370 375 384 390 400 405 416 432 444 450 468 480 481 486 500 512 520 540 555 576 585 592 600 624 625 640 648 650 666 675 702 720 729 740 750 768 780 800 810 832 864 888 900 925 936 960 962 972 975 999 1000 1024 1040 1053 1080 1110 1125 1152 1170 1184 1200 1215 1248 1250 1280 1296 1300 1332 1350 1369 1404 1440 1443 1458 1480 1500 1536 1560 1600 1620 1625 1664 1665 1728 1755 1776 1800 1850 1872 1875 1920 1924 1944 1950 1998 2000 2025 2048 2080 2106 2160 2187 2220 2250 2304 2340 2368 2400 2405 2430 2496 2500 2560 2592 2600 2664 2700 2738 2775 2808 2880 2886 2916 2925 2960 2997 3000 3072 3120 3125 3159 3200 3240 3250 3328 3330 3375 3456 3510 3552 3600 3645 3700 3744 3750 3840 3848 3888 3900 3996 4000 4050 4096 4107 4160 4212 4320 4329 4374 4440 4500 4608 4625 4680 4736 4800 4810 4860 4875 4992 4995 5000 5120 5184 5200 5265 5328 5400 5476 5550 5616 5625 5760 5772 5832 5850 5920 5994 6000 6075 6144 6240 6250 6318 6400 6480 6500 6561 6656 6660 6750 6845 6912 7020 7104 7200 7215 7290 7400 7488 7500 7680 7696 7776 7800 7992 8000 8100 8125 8192 8214 8320 8325 8424 8640 8658 8748 8775 8880 8991 9000 9216 9250 9360 9375 9472 9477 9600 9620 9720 9750 9984 9990 10000 10125 10240 10368 10400 10530 10656 10800 10935 10952 11100 11232 11250 11520 11544 11664 11700 11840 11988 12000 12025 12150 12288 12321 12480 12500 12636 12800 12960 12987 13000 13122 13312 13320 13500 13690 13824 13875 14040 14208 14400 14430 14580 14625 14800 14976 14985 15000 15360 15392 15552 15600 15625 15795 15984 16000 16200 16250 16384 16428 16640 16650 16848 16875 17280 17316 17496 17550 17760 17797 17982 18000 18225 18432 18500 18720 18750 18944 18954 19200 19240 19440 19500 19683 19968 19980 20000 20250 20480 20535 20736 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1721786454835200000 1765934825472000000 1836572218490880000 1861390761984000000 1913096060928000000 2119121790566400000 2152233068544000000 2295715273113600000 2550794747904000000 2648902238208000000 2754858327736320000 2869644091392000000 3060953697484800000 3443572909670400000 3531869650944000000 3722781523968000000 3826192121856000000 4304466137088000000 4591430546227200000 5101589495808000000 5297804476416000000 5509716655472640000 5739288182784000000 6887145819340800000 7652384243712000000 8608932274176000000 9182861092454400000 10595608952832000000 11478576365568000000 13774291638681600000 15304768487424000000 17217864548352000000 22957152731136000000 27548583277363200000 34435729096704000000 45914305462272000000 68871458193408000000 137742916386816000000
- Sum of all divisors σ(n): 571699533482637151410
- Sum of proper divisors (its aliquot sum) s(n): 433956617095821151410
- 137742916386816000000 is an abundant number, because the sum of its proper divisors (433956617095821151410) is greater than itself. Its abundance is 296213700709005151410
Bases of 137742916386816000000
- Binary: 11101110111100100010010010010101001000110101000000000000000000000002
- Hexadecimal: 0x7779124A91A800000
- Base-36: T2I7WR2800000
Squares and roots of 137742916386816000000
- 137742916386816000000 squared (1377429163868160000002) is 18973111014745383740538617856000000000000
- 137742916386816000000 cubed (1377429163868160000003) is 2613411644101851064240526991075294100586496000000000000000000
-
The
square root of 137742916386816000000 is 11736392818.3584584723 -
The
cube root of 137742916386816000000 is 5164438.2770673585
Scales and comparisons
How big is 137742916386816000000?- 137,742,916,386,816,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,742,916,386,816,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137742916386816000000 cubic inches would be around 430369.9 feet tall.
Recreational maths with 137742916386816000000
- 137742916386816000000 backwards is 000000618683619247731
- 137742916386816000000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137742916386816000000's digits is 72
- More coming soon!
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"Number 137742916386816000000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 137742916386816000000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/137742916386816000000/
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The information we have on file for 137742916386816000000 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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