34490987731200000
34,490,987,731,200,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 34490987731200000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 13824 divisors.
34490987731200000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of thirteen thousand, eight hundred twenty-four divisors.
Prime factorization of 34490987731200000:
211 × 3 × 55 × 72 × 11 × 133 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 13 × 13 × 13 × 37 × 41)See below for interesting mathematical facts about the number 34490987731200000 from the Numbermatics database.
Names of 34490987731200000
- Cardinal: 34490987731200000 can be written as Thirty-four quadrillion, four hundred ninety trillion, nine hundred eighty-seven billion, seven hundred thirty-one million, two hundred thousand.
Scientific notation
- Scientific notation: 3.44909877312 × 1016
Factors of 34490987731200000
Divisors of 34490987731200000
- Number of divisors d(n): 13824
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 32 33 35 37 39 40 41 42 44 48 49 50 52 55 56 60 64 65 66 70 74 75 77 78 80 82 84 88 91 96 98 100 104 105 110 111 112 120 123 125 128 130 132 140 143 147 148 150 154 156 160 164 165 168 169 175 176 182 185 192 195 196 200 205 208 210 220 222 224 231 240 245 246 250 256 259 260 264 273 275 280 286 287 294 296 300 308 312 320 325 328 330 336 338 350 352 364 370 375 384 385 390 392 400 407 410 416 420 429 440 444 448 451 455 462 480 481 490 492 500 507 512 518 520 525 528 533 539 546 550 555 560 572 574 588 592 600 615 616 624 625 637 640 650 656 660 672 676 700 704 715 728 735 740 750 768 770 777 780 784 800 814 820 825 832 840 845 858 861 875 880 888 896 902 910 924 925 960 962 975 980 984 1000 1001 1014 1024 1025 1036 1040 1050 1056 1066 1078 1092 1100 1110 1120 1144 1148 1155 1176 1183 1184 1200 1221 1225 1230 1232 1248 1250 1274 1280 1295 1300 1312 1320 1344 1352 1353 1365 1375 1400 1408 1430 1435 1443 1456 1470 1480 1500 1517 1536 1540 1554 1560 1568 1599 1600 1617 1625 1628 1640 1650 1664 1680 1690 1716 1722 1750 1760 1776 1792 1804 1813 1820 1848 1850 1859 1875 1911 1920 1924 1925 1950 1960 1968 2000 2002 2009 2028 2035 2048 2050 2072 2080 2100 2112 2132 2145 2156 2184 2197 2200 2220 2240 2255 2275 2288 2296 2310 2352 2366 2368 2400 2405 2442 2450 2460 2464 2496 2500 2535 2548 2560 2590 2600 2624 2625 2640 2665 2688 2695 2704 2706 2730 2750 2775 2800 2816 2849 2860 2870 2886 2912 2940 2960 3000 3003 3034 3072 3075 3080 3108 3120 3125 3136 3157 3185 3198 3200 3234 3250 3256 3280 3300 3328 3360 3367 3380 3432 3444 3500 3520 3549 3552 3575 3584 3608 3626 3640 3675 3696 3700 3718 3731 3750 3822 3840 3848 3850 3885 3900 3920 3936 4000 4004 4018 4056 4070 4100 4125 4144 4160 4200 4224 4225 4264 4290 4305 4312 4368 4375 4394 4400 4440 4480 4510 4550 4551 4576 4592 4620 4625 4704 4732 4736 4800 4810 4875 4884 4900 4920 4928 4992 5000 5005 5070 5096 5120 5125 5180 5200 5248 5250 5280 5291 5330 5376 5390 5408 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2155686733200000 2299399182080000 2463641980800000 2653152902400000 2874248977600000 3135544339200000 3449098773120000 4311373466400000 4927283961600000 5748497955200000 6898197546240000 8622746932800000 11496995910400000 17245493865600000 34490987731200000
- Sum of all divisors σ(n): 166231024758489600
- Sum of proper divisors (its aliquot sum) s(n): 131740037027289600
- 34490987731200000 is an abundant number, because the sum of its proper divisors (131740037027289600) is greater than itself. Its abundance is 97249049296089600
Bases of 34490987731200000
- Binary: 11110101000100101011110110111111010101110101000000000002
- Hexadecimal: 0x7A895EDFABA800
- Base-36: 9FM190S8R9C
Squares and roots of 34490987731200000
- 34490987731200000 squared (344909877312000002) is 1189628234673788923453440000000000
- 34490987731200000 cubed (344909877312000003) is 41031452846822768193051054974435328000000000000000
-
The
square root of 34490987731200000 is 185717494.4134235297 -
The
cube root of 34490987731200000 is 325513.1545614467
Scales and comparisons
How big is 34490987731200000?- 34,490,987,731,200,000 seconds is equal to 1,096,706,722 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 34,490,987,731,200,000 would take you about three billion, two hundred ninety million, one hundred twenty thousand, one hundred sixty-six 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 34490987731200000 cubic inches would be around 27126.1 feet tall.
Recreational maths with 34490987731200000
- 34490987731200000 backwards is 00000213778909443
- The number of decimal digits it has is: 17
- The sum of 34490987731200000's digits is 57
- More coming soon!
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"Number 34490987731200000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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The information we have on file for 34490987731200000 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 34490987731200000, math, Factors of 34490987731200000, curriculum, school, college, exams, university, Prime factorization of 34490987731200000, STEM, science, technology, engineering, physics, economics, calculator, thirty-four quadrillion, four hundred ninety trillion, nine hundred eighty-seven billion, seven hundred thirty-one million, two hundred thousand.