13748516964000
13,748,516,964,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13748516964000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 6144 divisors.
13748516964000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of six thousand, one hundred forty-four divisors.
Prime factorization of 13748516964000:
25 × 33 × 53 × 7 × 13 × 17 × 19 × 61 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 19 × 61 × 71)See below for interesting mathematical facts about the number 13748516964000 from the Numbermatics database.
Names of 13748516964000
- Cardinal: 13748516964000 can be written as Thirteen trillion, seven hundred forty-eight billion, five hundred sixteen million, nine hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3748516964 × 1013
Factors of 13748516964000
Divisors of 13748516964000
- Number of divisors d(n): 6144
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 24 25 26 27 28 30 32 34 35 36 38 39 40 42 45 48 50 51 52 54 56 57 60 61 63 65 68 70 71 72 75 76 78 80 84 85 90 91 95 96 100 102 104 105 108 112 114 117 119 120 122 125 126 130 133 135 136 140 142 144 150 152 153 156 160 168 170 171 175 180 182 183 189 190 195 200 204 208 210 213 216 221 224 225 228 234 238 240 244 247 250 252 255 260 266 270 272 273 280 284 285 288 300 304 305 306 312 315 323 325 336 340 342 350 351 355 357 360 364 366 375 378 380 390 399 400 408 416 420 425 426 427 432 442 450 455 456 459 468 475 476 480 488 494 497 500 504 510 513 520 525 532 540 544 546 549 560 568 570 585 595 600 608 610 612 624 630 639 646 650 663 665 672 675 680 684 700 702 710 714 720 728 732 741 750 756 760 765 780 793 798 800 816 819 840 850 852 854 855 864 875 884 900 910 912 915 918 923 936 945 950 952 969 975 976 988 994 1000 1008 1020 1026 1037 1040 1050 1064 1065 1071 1080 1092 1098 1105 1120 1125 1136 1140 1159 1170 1190 1197 1200 1207 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8813151900 8887212000 8985958800 9015420960 9045076950 9092934500 9165677976 9221004000 9277002000 9391063500 9442662750 9547581225 9627813000 9648082080 9682054200 9792391000 9820369260 10050085500 10072173600 10109203650 10184086640 10191636000 10337230800 10368414000 10575782280 10641267000 10732644000 10757838000 10783150560 10911521400 11016439875 11132402400 11232448500 11269276200 11390652000 11457097470 11485812000 11553375600 11750869200 11862396000 12060102600 12102567750 12220903968 12275461575 12442096800 12521418000 12590217000 12730108300 12837084000 12909405600 12921538500 13093825680 13219727850 13257972000 13400114000 13478938200 13639401750 13748516964 13831506000 13915503000 14086595250 14101043040 14188356000 14441719500 14472123120 14548695200 14688586500 14895468000 14976598000 15025701600 15075128250 15108260400 15276129960 15552621000 15712590816 15912635375 16080136800 16098966000 16136757000 16174725840 16367282100 16786956000 16848672750 17185646205 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43646085600 44065759500 44929794000 45077104800 45225384750 45828389880 47737906125 48240410400 48410271000 49101846300 50360868000 50546018250 50920433200 51686154000 52878911400 53915752800 54557607000 54994067856 55662012000 56346381000 57285487350 57766878000 58754346000 60300513000 61104519840 61377307875 62210484000 63650541500 64547028000 65469128400 66098639250 67394691000 68742584820 70505215200 72360615600 72743476000 75128508000 75541302000 76380649800 78562954080 80400684000 80873629200 81836410500 85928231025 88131519000 89859588000 90450769500 91656779760 95475812250 96820542000 98203692600 101092036500 101840866400 103372308000 105757822800 109115214000 109988135712 112692762000 114570974700 115533756000 117508692000 120601026000 122754615750 127301083000 130938256800 132197278500 134789382000 137485169640 143213718375 144721231200 151082604000 152761299600 161747258400 163672821000 171856462050 176263038000 180901539000 183313559520 190951624500 193641084000 196407385200 202184073000 211515645600 218230428000 225385524000 229141949400 241202052000 245509231500 254602166000 264394557000 269578764000 274970339280 286427436750 305522599200 327345642000 343712924100 352526076000 361803078000 381903249000 392814770400 404368146000 429641155125 458283898800 491018463000 509204332000 528789114000 549940678560 572854873500 654691284000 687425848200 723606156000 763806498000 808736292000 859282310250 916567797600 982036926000 1057578228000 1145709747000 1374851696400 1527612996000 1718564620500 1964073852000 2291419494000 2749703392800 3437129241000 4582838988000 6874258482000 13748516964000
- Sum of all divisors σ(n): 70757071257600
- Sum of proper divisors (its aliquot sum) s(n): 57008554293600
- 13748516964000 is an abundant number, because the sum of its proper divisors (57008554293600) is greater than itself. Its abundance is 43260037329600
Bases of 13748516964000
- Binary: 110010000001000100110111100001000110101000002
- Hexadecimal: 0xC81137846A0
- Base-36: 4VFZC0VC0
Squares and roots of 13748516964000
- 13748516964000 squared (137485169640002) is 189021718709395777296000000
- 13748516964000 cubed (137485169640003) is 2598768306240564030344022049344000000000
-
The
square root of 13748516964000 is 3707899.2656219775 -
The
cube root of 13748516964000 is 23956.2379394197
Scales and comparisons
How big is 13748516964000?- 13,748,516,964,000 seconds is equal to 437,160 years, 16 weeks, 1 day, 18 hours.
-
To count from 1 to 13,748,516,964,000 would take you about one million, ninety-two thousand, nine hundred 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 13748516964000 cubic inches would be around 1996.4 feet tall.
Recreational maths with 13748516964000
- 13748516964000 backwards is 00046961584731
- 13748516964000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13748516964000's digits is 54
- More coming soon!
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"Number 13748516964000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 13748516964000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13748516964000/
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The information we have on file for 13748516964000 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 13748516964000, math, Factors of 13748516964000, curriculum, school, college, exams, university, Prime factorization of 13748516964000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, seven hundred forty-eight billion, five hundred sixteen million, nine hundred sixty-four thousand.