13148830924320000
13,148,830,924,320,000 is an even composite number composed of seven prime numbers multiplied together.
13148830924320000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 13148830924320000:
28 × 3 × 54 × 7 × 134 × 181 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 13 × 181 × 757)See below for interesting mathematical facts about the number 13148830924320000 from the Numbermatics database.
Names of 13148830924320000
- Cardinal: 13148830924320000 can be written as Thirteen quadrillion, one hundred forty-eight trillion, eight hundred thirty billion, nine hundred twenty-four million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.314883092432 × 1016
Factors of 13148830924320000
Divisors of 13148830924320000
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 125 128 130 140 150 156 160 168 169 175 181 182 192 195 200 208 210 224 240 250 256 260 273 280 300 312 320 325 336 338 350 362 364 375 384 390 400 416 420 448 455 480 500 507 520 525 543 546 560 600 624 625 640 650 672 676 700 724 728 750 757 768 780 800 832 840 845 875 896 905 910 960 975 1000 1014 1040 1050 1086 1092 1120 1183 1200 1248 1250 1267 1280 1300 1344 1352 1365 1400 1448 1456 1500 1514 1560 1600 1625 1664 1680 1690 1750 1792 1810 1820 1875 1920 1950 2000 2028 2080 2100 2172 2184 2197 2240 2271 2275 2353 2366 2400 2496 2500 2534 2535 2600 2625 2688 2704 2715 2730 2800 2896 2912 3000 3028 3120 3200 3250 3328 3360 3380 3500 3549 3620 3640 3750 3785 3801 3840 3900 4000 4056 4160 4200 4225 4344 4368 4375 4394 4480 4525 4542 4550 4706 4732 4800 4875 4992 5000 5068 5070 5200 5250 5299 5376 5408 5430 5460 5600 5792 5824 5915 6000 6056 6240 6335 6400 6500 6591 6720 6760 6825 7000 7059 7098 7240 7280 7500 7570 7602 7800 8000 8112 8125 8320 8400 8450 8688 8736 8750 8788 8960 9050 9084 9100 9412 9464 9600 9750 9841 9984 10000 10136 10140 10400 10500 10598 10816 10860 10920 10985 11200 11355 11375 11584 11648 11765 11830 12000 12112 12480 12670 12675 13000 13125 13182 13440 13520 13575 13650 14000 14118 14196 14480 14560 15000 15140 15204 15379 15600 15897 16000 16224 16250 16471 16640 16800 16900 17376 17472 17500 17576 17745 18100 18168 18200 18824 18925 18928 19005 19200 19500 19682 20000 20272 20280 20800 21000 21125 21196 21632 21720 21840 21970 22400 22625 22710 22750 23168 23296 23530 23660 24000 24224 24375 24960 25340 25350 26000 26250 26364 26495 26880 27040 27150 27300 28000 28236 28392 28561 28960 29120 29523 29575 30000 30280 30408 30589 30758 31200 31675 31794 32000 32448 32500 32942 32955 33600 33800 34125 34752 34944 35000 35152 35295 35490 36200 36336 36400 37648 37850 37856 38010 39000 39364 40000 40544 40560 41600 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252862133160000 262976618486400 273933977590000 313067402960000 328720773108000 337149510880000 375680883552000 410900966385000 438294364144000 469601104440000 505724266320000 525953236972800 547867955180000 626134805920000 657441546216000 821801932770000 876588728288000 939202208880000 1011448532640000 1095735910360000 1314883092432000 1643603865540000 1878404417760000 2191471820720000 2629766184864000 3287207731080000 4382943641440000 6574415462160000 13148830924320000
- Sum of all divisors σ(n): 54512594399815552
- Sum of proper divisors (its aliquot sum) s(n): 41363763475495552
- 13148830924320000 is an abundant number, because the sum of its proper divisors (41363763475495552) is greater than itself. Its abundance is 28214932551175552
Bases of 13148830924320000
- Binary: 1011101011011011001010110001000111010010101101000000002
- Hexadecimal: 0x2EB6CAC474AD00
- Base-36: 3LGVDJBL3PC
Squares and roots of 13148830924320000
- 13148830924320000 squared (131488309243200002) is 172891754676353945567462400000000
- 13148830924320000 cubed (131488309243200003) is 2273324450448389732543295595908845568000000000000
-
The
square root of 13148830924320000 is 114668351.8862986013 -
The
cube root of 13148830924320000 is 236027.3771524435
Scales and comparisons
How big is 13148830924320000?- 13,148,830,924,320,000 seconds is equal to 418,092,151 years, 20 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,148,830,924,320,000 would take you about one billion, two hundred fifty-four million, two hundred seventy-six thousand, four hundred fifty-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 13148830924320000 cubic inches would be around 19668.9 feet tall.
Recreational maths with 13148830924320000
- 13148830924320000 backwards is 00002342903884131
- 13148830924320000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13148830924320000's digits is 48
- More coming soon!
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Cite this page
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"Number 13148830924320000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
APA style:
Numbermatics. (2024). Number 13148830924320000 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/13148830924320000/
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Numbermatics. 2024. "Number 13148830924320000 - Facts about the integer". https://numbermatics.com/n/13148830924320000/
The information we have on file for 13148830924320000 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 13148830924320000, math, Factors of 13148830924320000, curriculum, school, college, exams, university, Prime factorization of 13148830924320000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred forty-eight trillion, eight hundred thirty billion, nine hundred twenty-four million, three hundred twenty thousand.