137023585920000
137,023,585,920,000 is an even composite number composed of seven prime numbers multiplied together.
137023585920000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, nine hundred sixty divisors.
Prime factorization of 137023585920000:
210 × 32 × 54 × 13 × 192 × 37 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 19 × 19 × 37 × 137)See below for interesting mathematical facts about the number 137023585920000 from the Numbermatics database.
Names of 137023585920000
- Cardinal: 137023585920000 can be written as One hundred thirty-seven trillion, twenty-three billion, five hundred eighty-five million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3702358592 × 1014
Factors of 137023585920000
Divisors of 137023585920000
- Number of divisors d(n): 3960
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 32 36 37 38 39 40 45 48 50 52 57 60 64 65 72 74 75 76 78 80 90 95 96 100 104 111 114 117 120 125 128 130 137 144 148 150 152 156 160 171 180 185 190 192 195 200 208 222 225 228 234 240 247 250 256 260 274 285 288 296 300 304 312 320 325 333 342 360 361 370 375 380 384 390 400 411 416 444 450 456 468 475 480 481 494 500 512 520 548 555 570 576 585 592 600 608 624 625 640 650 666 684 685 703 720 722 740 741 750 760 768 780 800 822 832 855 888 900 912 925 936 950 960 962 975 988 1000 1024 1040 1083 1096 1110 1125 1140 1152 1170 1184 1200 1216 1233 1235 1248 1250 1280 1300 1332 1368 1370 1406 1425 1440 1443 1444 1480 1482 1500 1520 1536 1560 1600 1625 1644 1664 1665 1710 1776 1781 1800 1805 1824 1850 1872 1875 1900 1920 1924 1950 1976 2000 2055 2080 2109 2166 2192 2220 2223 2250 2280 2304 2340 2368 2375 2400 2405 2432 2466 2470 2496 2500 2560 2600 2603 2664 2736 2740 2775 2812 2850 2880 2886 2888 2925 2960 2964 3000 3040 3072 3120 3200 3249 3250 3288 3328 3330 3420 3425 3515 3552 3562 3600 3610 3648 3700 3705 3744 3750 3800 3840 3848 3900 3952 4000 4110 4160 4218 4275 4329 4332 4384 4440 4446 4500 4560 4608 4625 4680 4693 4736 4750 4800 4810 4864 4875 4932 4940 4992 5000 5069 5120 5200 5206 5328 5343 5415 5472 5480 5550 5624 5625 5700 5760 5772 5776 5850 5920 5928 6000 6080 6165 6175 6240 6327 6400 6498 6500 6576 6656 6660 6840 6850 7030 7104 7124 7125 7200 7215 7220 7296 7400 7410 7488 7500 7600 7680 7696 7800 7809 7904 8000 8125 8220 8320 8325 8436 8550 8658 8664 8768 8880 8892 8905 9000 9025 9120 9139 9216 9250 9360 9386 9472 9500 9600 9620 9728 9750 9864 9880 9984 10000 10138 10275 10400 10412 10545 10656 10686 10830 10944 10960 11100 11115 11248 11250 11400 11520 11544 11552 11700 11840 11856 11875 12000 12025 12160 12330 12350 12480 12654 12800 12996 13000 13015 13152 13312 13320 13357 13680 13700 13875 14060 14079 14208 14248 14250 14400 14430 14440 14592 14625 14800 14820 14976 15000 15200 15207 15360 15392 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- Sum of all divisors σ(n): 581336943923736
- Sum of proper divisors (its aliquot sum) s(n): 444313358003736
- 137023585920000 is an abundant number, because the sum of its proper divisors (444313358003736) is greater than itself. Its abundance is 307289772083736
Bases of 137023585920000
- Binary: 111110010011111010010100010101000100100000000002
- Hexadecimal: 0x7C9F4A2A2400
- Base-36: 1CKJRL7NK0
Squares and roots of 137023585920000
- 137023585920000 squared (1370235859200002) is 18775463098375622246400000000
- 137023585920000 cubed (1370235859200003) is 2572681281048061487313053810688000000000000
-
The
square root of 137023585920000 is 11705707.4079271263 -
The
cube root of 137023585920000 is 51554.3255461381
Scales and comparisons
How big is 137023585920000?- 137,023,585,920,000 seconds is equal to 4,356,926 years, 9 weeks, 6 days, 8 hours.
-
To count from 1 to 137,023,585,920,000 would take you about ten million, eight hundred ninety-two thousand, three hundred fifteen 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 137023585920000 cubic inches would be around 4296.2 feet tall.
Recreational maths with 137023585920000
- 137023585920000 backwards is 000029585320731
- 137023585920000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137023585920000's digits is 45
- More coming soon!
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"Number 137023585920000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 137023585920000 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/137023585920000/
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The information we have on file for 137023585920000 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 137023585920000, math, Factors of 137023585920000, curriculum, school, college, exams, university, Prime factorization of 137023585920000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, twenty-three billion, five hundred eighty-five million, nine hundred twenty thousand.