13388768870400
13,388,768,870,400 is an even composite number composed of six prime numbers multiplied together.
13388768870400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 13388768870400:
220 × 32 × 52 × 7 × 112 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 67)See below for interesting mathematical facts about the number 13388768870400 from the Numbermatics database.
Names of 13388768870400
- Cardinal: 13388768870400 can be written as Thirteen trillion, three hundred eighty-eight billion, seven hundred sixty-eight million, eight hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.33887688704 × 1013
Factors of 13388768870400
Divisors of 13388768870400
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 64 66 67 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 121 126 128 132 134 140 144 150 154 160 165 168 175 176 180 192 198 200 201 210 220 224 225 231 240 242 252 256 264 268 275 280 288 300 308 315 320 330 335 336 350 352 360 363 384 385 396 400 402 420 440 448 450 462 469 480 484 495 504 512 525 528 536 550 560 576 600 603 605 616 630 640 660 670 672 693 700 704 720 726 737 768 770 792 800 804 825 840 847 880 896 900 924 938 960 968 990 1005 1008 1024 1050 1056 1072 1089 1100 1120 1152 1155 1200 1206 1210 1232 1260 1280 1320 1340 1344 1386 1400 1407 1408 1440 1452 1474 1536 1540 1575 1584 1600 1608 1650 1675 1680 1694 1760 1792 1800 1815 1848 1876 1920 1925 1936 1980 2010 2016 2048 2100 2112 2144 2178 2200 2211 2240 2304 2310 2345 2400 2412 2420 2464 2475 2520 2541 2560 2640 2680 2688 2772 2800 2814 2816 2880 2904 2948 3015 3025 3072 3080 3150 3168 3200 3216 3300 3350 3360 3388 3465 3520 3584 3600 3630 3685 3696 3752 3840 3850 3872 3960 4020 4032 4096 4200 4221 4224 4235 4288 4356 4400 4422 4480 4608 4620 4690 4800 4824 4840 4928 4950 5025 5040 5082 5120 5159 5280 5360 5376 5445 5544 5600 5628 5632 5760 5775 5808 5896 6030 6050 6144 6160 6300 6336 6400 6432 6600 6633 6700 6720 6776 6930 7035 7040 7168 7200 7260 7370 7392 7504 7623 7680 7700 7744 7920 8040 8064 8107 8192 8400 8442 8448 8470 8576 8712 8800 8844 8960 9075 9216 9240 9380 9600 9648 9680 9856 9900 10050 10080 10164 10240 10318 10560 10720 10752 10890 11055 11088 11200 11256 11264 11520 11550 11616 11725 11792 12060 12100 12288 12320 12600 12672 12705 12800 12864 13200 13266 13400 13440 13552 13860 14070 14080 14336 14400 14520 14740 14784 15008 15075 15246 15360 15400 15477 15488 15840 16080 16128 16214 16384 16800 16884 16896 16940 17152 17325 17424 17600 17688 17920 18150 18425 18432 18480 18760 19200 19296 19360 19712 19800 20100 20160 20328 20480 20636 21105 21120 21175 21440 21504 21780 22110 22176 22400 22512 22528 23040 23100 23232 23450 23584 24120 24200 24321 24576 24640 25200 25344 25410 25600 25728 25795 26400 26532 26800 26880 27104 27225 27720 28140 28160 28672 28800 29040 29480 29568 30016 30150 30492 30720 30800 30954 30976 31680 32160 32256 32428 32768 33165 33600 33768 33792 33880 34304 34650 34848 35175 35200 35376 35840 36300 36850 36864 36960 37520 38115 38400 38592 38720 39424 39600 40200 40320 40535 40656 40960 41272 42210 42240 42350 42880 43008 43560 44220 44352 44800 45024 45056 46080 46200 46431 46464 46900 47168 48240 48400 48642 49152 49280 50400 50688 50820 51200 51456 51590 52800 53064 53600 53760 54208 54450 55275 55440 56280 56320 56749 57344 57600 58080 58960 59136 60032 60300 60984 61440 61600 61908 61952 63360 63525 64320 64512 64856 65536 66330 67200 67536 67584 67760 68608 69300 69696 70350 70400 70752 71680 72600 72963 73700 73728 73920 75040 76230 76800 77184 77385 77440 78848 79200 80400 80640 81070 81312 81920 82544 84420 84480 84700 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33471922176 33810022400 34776023040 34866585600 36883660800 37191024640 38036275200 38253625344 39847526400 39966474240 40572026880 41839902720 42504028160 43470028800 44629229568 46488780800 47817031680 48686432256 49958092800 50715033600 52299878400 53130035200 55325491200 55786536960 57960038400 59505639424 59771289600 60858040320 63756042240 66610790400 66943844352 67620044800 69733171200 74382049280 76072550400 76507250688 79695052800 81144053760 83679805440 86940057600 89258459136 92977561600 95634063360 99916185600 101430067200 104599756800 106260070400 110650982400 111573073920 119542579200 121716080640 127512084480 133887688704 135240089600 139466342400 148764098560 152145100800 159390105600 167359610880 173880115200 178516918272 185955123200 191268126720 199832371200 202860134400 209199513600 212520140800 223146147840 239085158400 243432161280 267775377408 278932684800 297528197120 304290201600 318780211200 334719221760 371910246400 382536253440 405720268800 418399027200 446292295680 478170316800 535550754816 557865369600 608580403200 637560422400 669438443520 743820492800 836798054400 892584591360 956340633600 1115730739200 1217160806400 1338876887040 1487640985600 1673596108800 1912681267200 2231461478400 2677753774080 3347192217600 4462922956800 6694384435200 13388768870400
- Sum of all divisors σ(n): 61148426868256
- Sum of proper divisors (its aliquot sum) s(n): 47759657997856
- 13388768870400 is an abundant number, because the sum of its proper divisors (47759657997856) is greater than itself. Its abundance is 34370889127456
Bases of 13388768870400
- Binary: 110000101101010100001101000000000000000000002
- Hexadecimal: 0xC2D50D00000
- Base-36: 4QUPRAPS0
Squares and roots of 13388768870400
- 13388768870400 squared (133887688704002) is 179259131864992091996160000
- 13388768870400 cubed (133887688704003) is 2400059084448934816860360004337664000000
-
The
square root of 13388768870400 is 3659066.6665694955 -
The
cube root of 13388768870400 is 23745.4396387611
Scales and comparisons
How big is 13388768870400?- 13,388,768,870,400 seconds is equal to 425,721 years, 22 weeks, 4 days, 16 hours.
-
To count from 1 to 13,388,768,870,400 would take you about one million, sixty-four thousand, three hundred three 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 13388768870400 cubic inches would be around 1978.8 feet tall.
Recreational maths with 13388768870400
- 13388768870400 backwards is 00407886788331
- 13388768870400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13388768870400's digits is 63
- More coming soon!
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"Number 13388768870400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 13388768870400 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13388768870400/
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The information we have on file for 13388768870400 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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