13964904684432000
13,964,904,684,432,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13964904684432000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3840 divisors.
13964904684432000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 13964904684432000:
27 × 34 × 53 × 13 × 31 × 372 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 31 × 37 × 37 × 19531)See below for interesting mathematical facts about the number 13964904684432000 from the Numbermatics database.
Names of 13964904684432000
- Cardinal: 13964904684432000 can be written as Thirteen quadrillion, nine hundred sixty-four trillion, nine hundred four billion, six hundred eighty-four million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.3964904684432 × 1016
Factors of 13964904684432000
Divisors of 13964904684432000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 37 39 40 45 48 50 52 54 60 62 64 65 72 74 75 78 80 81 90 93 96 100 104 108 111 117 120 124 125 128 130 135 144 148 150 155 156 160 162 180 185 186 192 195 200 208 216 222 225 234 240 248 250 260 270 279 288 296 300 310 312 320 324 325 333 351 360 370 372 375 384 390 400 403 405 416 432 444 450 465 468 480 481 496 500 520 540 555 558 576 585 592 600 620 624 640 648 650 666 675 702 720 740 744 750 775 780 800 806 810 832 837 864 888 900 925 930 936 960 962 975 992 999 1000 1040 1053 1080 1110 1116 1125 1147 1152 1170 1184 1200 1209 1240 1248 1296 1300 1332 1350 1369 1395 1404 1440 1443 1480 1488 1500 1550 1560 1600 1612 1620 1625 1664 1665 1674 1728 1755 1776 1800 1850 1860 1872 1920 1924 1950 1984 1998 2000 2015 2025 2080 2106 2160 2220 2232 2250 2294 2325 2340 2368 2400 2405 2418 2480 2496 2511 2592 2600 2664 2700 2738 2775 2790 2808 2880 2886 2925 2960 2976 2997 3000 3100 3120 3200 3224 3240 3250 3330 3348 3375 3441 3456 3510 3552 3600 3627 3700 3720 3744 3848 3875 3900 3968 3996 4000 4030 4050 4107 4160 4185 4212 4320 4329 4440 4464 4500 4588 4625 4650 4680 4736 4800 4810 4836 4875 4960 4992 4995 5022 5184 5200 5265 5328 5400 5476 5550 5580 5616 5735 5760 5772 5850 5920 5952 5994 6000 6045 6200 6240 6448 6480 6500 6660 6696 6750 6845 6882 6975 7020 7104 7200 7215 7254 7400 7440 7488 7696 7750 7800 7992 8000 8060 8100 8214 8320 8325 8370 8424 8640 8658 8775 8880 8928 9000 9176 9250 9300 9360 9600 9620 9672 9750 9920 9990 10044 10075 10125 10323 10368 10400 10530 10656 10800 10881 10952 11100 11160 11232 11470 11544 11625 11700 11840 11904 11988 12000 12025 12090 12321 12400 12480 12555 12896 12960 12987 13000 13320 13392 13500 13690 13764 13875 13950 14040 14208 14400 14430 14508 14625 14800 14880 14911 14976 14985 15392 15500 15600 15984 16000 16120 16200 16428 16650 16740 16848 17205 17280 17316 17550 17760 17797 17856 18000 18135 18352 18500 18600 18720 19240 19344 19500 19531 19840 19980 20088 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111719237475456 112620199068000 116374205703600 119358159696000 125809952112000 129304673004000 134277929658000 139649046844320 145467757129500 150160265424000 155165607604800 172406230672000 174561308555400 179037239544000 186198729125760 188714928168000 193957009506000 214844687452800 218201635694250 225240398136000 232748411407200 258609346008000 268555859316000 279298093688640 290935514259000 310331215209600 349122617110800 358074479088000 377429856336000 387914019012000 436403271388500 450480796272000 465496822814400 517218692016000 537111718632000 558596187377280 581871028518000 698245234221600 775828038024000 872806542777000 930993645628800 1074223437264000 1163742057036000 1396490468443200 1551656076048000 1745613085554000 2327484114072000 2792980936886400 3491226171108000 4654968228144000 6982452342216000 13964904684432000
- Sum of all divisors σ(n): 59261000060021760
- Sum of proper divisors (its aliquot sum) s(n): 45296095375589760
- 13964904684432000 is an abundant number, because the sum of its proper divisors (45296095375589760) is greater than itself. Its abundance is 31331190691157760
Bases of 13964904684432000
- Binary: 1100011001110100000001101111110000100110101010100000002
- Hexadecimal: 0x319D01BF09AA80
- Base-36: 3TI58N9YG00
Squares and roots of 13964904684432000
- 13964904684432000 squared (139649046844320002) is 195018562845270817503162624000000
- 13964904684432000 cubed (139649046844320003) is 2723415641829118825747581905872697069568000000000
-
The
square root of 13964904684432000 is 118173197.8260383711 -
The
cube root of 13964904684432000 is 240812.6657481573
Scales and comparisons
How big is 13964904684432000?- 13,964,904,684,432,000 seconds is equal to 444,040,772 years, 35 weeks, 2 days.
-
To count from 1 to 13,964,904,684,432,000 would take you about one billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred eighteen 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 13964904684432000 cubic inches would be around 20067.7 feet tall.
Recreational maths with 13964904684432000
- 13964904684432000 backwards is 00023448640946931
- The number of decimal digits it has is: 17
- The sum of 13964904684432000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 13964904684432000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 13964904684432000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13964904684432000/
Chicago style:
Numbermatics. 2024. "Number 13964904684432000 - Facts about the integer". https://numbermatics.com/n/13964904684432000/
The information we have on file for 13964904684432000 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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