13734589474620000
13,734,589,474,620,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13734589474620000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3780 divisors.
13734589474620000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, seven hundred eighty divisors.
Prime factorization of 13734589474620000:
25 × 36 × 54 × 72 × 2412 × 331
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 241 × 241 × 331)See below for interesting mathematical facts about the number 13734589474620000 from the Numbermatics database.
Names of 13734589474620000
- Cardinal: 13734589474620000 can be written as Thirteen quadrillion, seven hundred thirty-four trillion, five hundred eighty-nine billion, four hundred seventy-four million, six hundred twenty thousand.
Scientific notation
- Scientific notation: 1.373458947462 × 1016
Factors of 13734589474620000
Divisors of 13734589474620000
- Number of divisors d(n): 3780
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 135 140 144 147 150 160 162 168 175 180 189 196 200 210 216 224 225 240 241 243 245 250 252 270 280 288 294 300 315 324 331 336 350 360 375 378 392 400 405 420 432 441 450 480 482 486 490 500 504 525 540 560 567 588 600 625 630 648 662 672 675 700 720 723 729 735 750 756 784 800 810 840 864 875 882 900 945 964 972 980 993 1000 1008 1050 1080 1120 1125 1134 1176 1200 1205 1215 1225 1250 1260 1296 1323 1324 1350 1400 1440 1446 1458 1470 1500 1512 1568 1575 1620 1655 1680 1687 1701 1750 1764 1800 1875 1890 1928 1944 1960 1986 2000 2016 2025 2100 2160 2169 2205 2250 2268 2317 2352 2400 2410 2430 2450 2500 2520 2592 2625 2646 2648 2700 2800 2835 2892 2916 2940 2979 3000 3024 3150 3240 3310 3360 3374 3375 3402 3500 3528 3600 3615 3645 3675 3750 3780 3856 3888 3920 3969 3972 4000 4050 4200 4320 4338 4375 4410 4500 4536 4634 4704 4725 4820 4860 4900 4965 5000 5040 5061 5103 5250 5292 5296 5400 5600 5625 5670 5784 5832 5880 5958 6000 6025 6048 6075 6125 6300 6480 6507 6615 6620 6748 6750 6804 6951 7000 7056 7200 7230 7290 7350 7500 7560 7712 7776 7840 7875 7938 7944 8100 8275 8400 8435 8505 8676 8750 8820 8937 9000 9072 9268 9450 9640 9720 9800 9930 10000 10080 10122 10125 10206 10500 10584 10592 10800 10845 11025 11250 11340 11568 11585 11664 11760 11809 11907 11916 12000 12050 12150 12250 12600 12960 13014 13125 13230 13240 13496 13500 13608 13902 14000 14112 14175 14460 14580 14700 14895 15000 15120 15183 15750 15876 15888 16200 16219 16550 16800 16870 16875 17010 17352 17500 17640 17874 18000 18075 18144 18225 18375 18536 18900 19280 19440 19521 19600 19845 19860 20000 20244 20250 20412 20853 21000 21168 21600 21690 22050 22500 22680 23136 23170 23328 23520 23618 23625 23814 23832 24100 24300 24500 24825 25200 25305 25515 26028 26250 26460 26480 26811 26992 27000 27216 27804 28000 28350 28920 29160 29400 29790 30000 30125 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47689546786875 49052105266500 50868849906000 54502339185000 54938357898480 56059548876000 56520944340000 56989997820000 57227456144250 61042619887200 61315131583125 63586062382500 65402807022000 68672947373100 70074436095000 72669785580000 76303274859000 78483368426400 81753508777500 84781416510000 85841184216375 91563929830800 93432581460000 95379093573750 98104210533000 101737699812000 109004678370000 109876715796960 114454912288500 122630263166250 127172124765000 130805614044000 137345894746200 140148872190000 143068640360625 152606549718000 163507017555000 169562833020000 171682368432750 183127859661600 190758187147500 196208421066000 218009356740000 228909824577000 245260526332500 254344249530000 274691789492400 280297744380000 286137280721250 305213099436000 327014035110000 343364736865500 381516374295000 392416842132000 429205921081875 457819649154000 490521052665000 508688499060000 549383578984800 572274561442500 654028070220000 686729473731000 763032748590000 858411842163750 915639298308000 981042105330000 1144549122885000 1373458947462000 1526065497180000 1716823684327500 1962084210660000 2289098245770000 2746917894924000 3433647368655000 4578196491540000 6867294737310000 13734589474620000
- Sum of all divisors σ(n): 59355988175869308
- Sum of proper divisors (its aliquot sum) s(n): 45621398701249308
- 13734589474620000 is an abundant number, because the sum of its proper divisors (45621398701249308) is greater than itself. Its abundance is 31886809226629308
Bases of 13734589474620000
- Binary: 1100001100101110001001010011101100010101000010011000002
- Hexadecimal: 0x30CB894EC54260
- Base-36: 3R8I7ASLI00
Squares and roots of 13734589474620000
- 13734589474620000 squared (137345894746200002) is 188638948036342487624144400000000
- 13734589474620000 cubed (137345894746200003) is 2590878510203338647764081286823015128000000000000
-
The
square root of 13734589474620000 is 117194664.8726809577 -
The
cube root of 13734589474620000 is 239481.4584293327
Scales and comparisons
How big is 13734589474620000?- 13,734,589,474,620,000 seconds is equal to 436,717,461 years, 21 weeks, 5 days, 6 hours.
-
To count from 1 to 13,734,589,474,620,000 would take you about one billion, three hundred ten million, one hundred fifty-two thousand, three hundred eighty-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 13734589474620000 cubic inches would be around 19956.8 feet tall.
Recreational maths with 13734589474620000
- 13734589474620000 backwards is 00002647498543731
- 13734589474620000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13734589474620000's digits is 63
- More coming soon!
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"Number 13734589474620000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 13734589474620000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13734589474620000/
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Numbermatics. 2024. "Number 13734589474620000 - Facts about the integer". https://numbermatics.com/n/13734589474620000/
The information we have on file for 13734589474620000 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 13734589474620000, math, Factors of 13734589474620000, curriculum, school, college, exams, university, Prime factorization of 13734589474620000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred thirty-four trillion, five hundred eighty-nine billion, four hundred seventy-four million, six hundred twenty thousand.