13388976564000
13,388,976,564,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13388976564000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13388976564000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13388976564000:
25 × 3 × 53 × 41 × 43 × 79 × 8011
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 41 × 43 × 79 × 8011)See below for interesting mathematical facts about the number 13388976564000 from the Numbermatics database.
Names of 13388976564000
- Cardinal: 13388976564000 can be written as Thirteen trillion, three hundred eighty-eight billion, nine hundred seventy-six million, five hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3388976564 × 1013
Factors of 13388976564000
Divisors of 13388976564000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 43 48 50 60 75 79 80 82 86 96 100 120 123 125 129 150 158 160 164 172 200 205 215 237 240 246 250 258 300 316 328 344 375 395 400 410 430 474 480 492 500 516 600 615 632 645 656 688 750 790 800 820 860 948 984 1000 1025 1032 1075 1185 1200 1230 1264 1290 1312 1376 1500 1580 1640 1720 1763 1896 1968 1975 2000 2050 2064 2150 2370 2400 2460 2528 2580 3000 3075 3160 3225 3239 3280 3397 3440 3526 3792 3936 3950 4000 4100 4128 4300 4740 4920 5125 5160 5289 5375 5925 6000 6150 6320 6450 6478 6560 6794 6880 7052 7584 7900 8011 8200 8600 8815 9480 9717 9840 9875 10191 10250 10320 10578 10750 11850 12000 12300 12640 12900 12956 13588 14104 15375 15800 16022 16125 16195 16400 16985 17200 17630 18960 19434 19680 19750 20382 20500 20640 21156 21500 23700 24033 24600 25800 25912 26445 27176 28208 29625 30750 31600 32044 32250 32390 32800 33970 34400 35260 37920 38868 39500 40055 40764 41000 42312 43000 44075 47400 48066 48585 49200 50955 51600 51824 52890 54352 56416 59250 61500 63200 64088 64500 64780 67940 70520 77736 79000 80110 80975 81528 82000 84624 84925 86000 88150 94800 96132 97170 98400 101910 103200 103648 105780 108704 118500 120165 123000 128176 129000 129560 132225 135880 139277 141040 155472 158000 160220 161950 163056 164000 169248 169850 172000 176300 189600 192264 194340 200275 203820 211560 220375 237000 240330 242925 246000 254775 256352 258000 259120 264450 271760 278554 282080 310944 316000 320440 323900 326112 328451 339700 344473 352600 384528 388680 400550 404875 407640 417831 423120 424625 440750 474000 480660 485850 492000 509550 516000 518240 528900 543520 557108 600825 632869 640880 647800 656902 661125 679400 688946 696385 705200 769056 777360 801100 809750 815280 835662 846240 849250 881500 948000 961320 971700 985353 1001375 1019100 1033419 1057800 1114216 1201650 1214625 1265738 1273875 1281760 1295600 1313804 1322250 1358800 1377892 1392770 1410400 1554720 1602200 1619500 1630560 1642255 1671324 1698500 1722365 1763000 1898607 1922640 1943400 1970706 2002750 2038200 2066838 2089155 2115600 2228432 2403300 2429250 2531476 2547750 2591200 2627608 2644500 2717600 2755784 2785540 3004125 3164345 3204400 3239000 3284510 3342648 3397000 3444730 3481925 3526000 3797214 3845280 3886800 3941412 4005500 4076400 4133676 4178310 4231200 4456864 4806600 4858500 4926765 5062952 5095500 5167095 5255216 5289000 5511568 5571080 6008250 6328690 6408800 6478000 6569020 6685296 6794000 6889460 6963850 7052000 7594428 7773600 7882824 8011000 8152800 8211275 8267352 8356620 8611825 9493035 9613200 9717000 9853530 10125904 10191000 10334190 10445775 10510432 10578000 11023136 11142160 12016500 12657380 12956000 13138040 13370592 13588000 13778920 13927700 14123393 15188856 15765648 15821725 16022000 16422550 16534704 16713240 17223650 17409625 18986070 19226400 19434000 19707060 20251808 20382000 20668380 20891550 21156000 22284320 24033000 24633825 25314760 25835475 25947629 26276080 27213367 27557840 27855400 28246786 30377712 31531296 31643450 32044000 32845100 33069408 33426480 34447300 34819250 37972140 38868000 39414120 40764000 41056375 41336760 41783100 42370179 43059125 47465175 48066000 49267650 50629520 51670950 51895258 52228875 52552160 54426734 55115680 55710800 56493572 60755424 63286900 65690200 66852960 68894600 69638500 70616965 75944280 77842887 78828240 79108625 81640101 82112750 82673520 83566200 84740358 86118250 94930350 96132000 98535300 101259040 103341900 103790516 104457750 108853468 111421600 112987144 123169125 126573800 129177375 129738145 131380400 136066835 137789200 139277000 141233930 151888560 155685774 157656480 158217250 163280202 164225500 165347040 167132400 169480716 172236500 189860700 197070600 206683800 207581032 208915500 211850895 217706936 225974288 237325875 246338250 253147600 258354750 259476290 262760800 272133670 275578400 278554000 282467860 303777120 311371548 316434500 326560404 328451000 334264800 338961432 344473000 353084825 379721400 389214435 394141200 408200505 413367600 415162064 417831000 423701790 435413872 451948576 474651750 492676500 506295200 516709500 518952580 544267340 557108000 564935720 622743096 632869000 648690725 653120808 656902000 677922864 680334175 688946000 706169650 759442800 778428870 788282400 816401010 826735200 830324128 835662000 847403580 870827744 949303500 985353000 1033419000 1037905160 1059254475 1088534680 1115748047 1129871440 1245486192 1265738000 1297381450 1306241616 1313804000 1355845728 1360668350 1377892000 1412339300 1518885600 1556857740 1632802020 1671324000 1694807160 1765424125 1898607000 1946072175 1970706000 2041002525 2066838000 2075810320 2118508950 2177069360 2231496094 2259742880 2490972384 2531476000 2594762900 2612483232 2721336700 2824678600 3113715480 3243453625 3265604040 3347244141 3389614320 3401670875 3530848250 3797214000 3892144350 3941412000 4082005050 4133676000 4151620640 4237017900 4354138720 4462992188 5189525800 5296272375 5442673400 5578740235 5649357200 6227430960 6486907250 6531208080 6694488282 6779228640 6803341750 7061696500 7594428000 7784288700 8164010100 8474035800 8925984376 9730360875 10205012625 10379051600 10592544750 10885346800 11157480470 11298714400 12454861920 12973814500 13062416160 13388976564 13606683500 14123393000 15568577400 16328020200 16736220705 16948071600 17851968752 19460721750 20410025250 20758103200 21185089500 21770693600 22314960940 25947629000 26777953128 27213367000 27893701175 28246786000 31137154800 32656040400 33472441410 33896143200 35703937504 38921443500 40820050500 42370179000 44629921880 51895258000 53555906256 54426734000 55787402350 56493572000 62274309600 65312080800 66944882820 77842887000 81640101000 83681103525 84740358000 89259843760 103790516000 107111812512 108853468000 111574804700 133889765640 139468505875 155685774000 163280202000 167362207050 169480716000 178519687520 223149609400 267779531280 278937011750 311371548000 326560404000 334724414100 418405517625 446299218800 535559062560 557874023500 669448828200 836811035250 892598437600 1115748047000 1338897656400 1673622070500 2231496094000 2677795312800 3347244141000 4462992188000 6694488282000 13388976564000
- Sum of all divisors σ(n): 46564831272960
- Sum of proper divisors (its aliquot sum) s(n): 33175854708960
- 13388976564000 is an abundant number, because the sum of its proper divisors (33175854708960) is greater than itself. Its abundance is 19786878144960
Bases of 13388976564000
- Binary: 110000101101010111010011000100100111001000002
- Hexadecimal: 0xC2D5D312720
- Base-36: 4QUT6YB6O
Squares and roots of 13388976564000
- 13388976564000 squared (133889765640002) is 179264693431341246096000000
- 13388976564000 cubed (133889765640003) is 2400170779104872687065900494144000000000
-
The
square root of 13388976564000 is 3659095.0471393881 -
The
cube root of 13388976564000 is 23745.5624220279
Scales and comparisons
How big is 13388976564000?- 13,388,976,564,000 seconds is equal to 425,728 years, 2 weeks, 12 hours, 40 minutes.
-
To count from 1 to 13,388,976,564,000 would take you about one million, sixty-four thousand, three hundred twenty 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 13388976564000 cubic inches would be around 1978.8 feet tall.
Recreational maths with 13388976564000
- 13388976564000 backwards is 00046567988331
- 13388976564000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13388976564000's digits is 60
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13388976564000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13388976564000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13388976564000/
Chicago style:
Numbermatics. 2024. "Number 13388976564000 - Facts about the integer". https://numbermatics.com/n/13388976564000/
The information we have on file for 13388976564000 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 13388976564000, math, Factors of 13388976564000, curriculum, school, college, exams, university, Prime factorization of 13388976564000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, three hundred eighty-eight billion, nine hundred seventy-six million, five hundred sixty-four thousand.