13829138294400
13,829,138,294,400 is an even composite number composed of seven prime numbers multiplied together.
13829138294400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13829138294400:
27 × 34 × 52 × 11 × 13 × 172 × 1291
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 17 × 17 × 1291)See below for interesting mathematical facts about the number 13829138294400 from the Numbermatics database.
Names of 13829138294400
- Cardinal: 13829138294400 can be written as Thirteen trillion, eight hundred twenty-nine billion, one hundred thirty-eight million, two hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.38291382944 × 1013
Factors of 13829138294400
Divisors of 13829138294400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 20 22 24 25 26 27 30 32 33 34 36 39 40 44 45 48 50 51 52 54 55 60 64 65 66 68 72 75 78 80 81 85 88 90 96 99 100 102 104 108 110 117 120 128 130 132 135 136 143 144 150 153 156 160 162 165 170 176 180 187 192 195 198 200 204 208 216 220 221 225 234 240 255 260 264 270 272 275 286 288 289 297 300 306 312 320 324 325 330 340 351 352 360 374 384 390 396 400 405 408 416 425 429 432 440 442 450 459 468 480 495 510 520 528 540 544 550 561 572 576 578 585 594 600 612 624 640 648 650 660 663 675 680 702 704 715 720 748 765 780 792 800 810 816 825 832 850 858 864 867 880 884 891 900 918 935 936 960 975 990 1020 1040 1053 1056 1080 1088 1100 1105 1122 1144 1152 1156 1170 1188 1200 1224 1248 1275 1287 1291 1296 1300 1320 1326 1350 1360 1377 1404 1408 1430 1440 1445 1485 1496 1530 1560 1584 1600 1620 1632 1650 1664 1683 1700 1716 1728 1734 1755 1760 1768 1782 1800 1836 1870 1872 1920 1950 1980 1989 2025 2040 2080 2106 2112 2145 2160 2176 2200 2210 2244 2288 2295 2312 2340 2376 2400 2431 2448 2475 2496 2550 2574 2582 2592 2600 2601 2640 2652 2700 2720 2754 2805 2808 2860 2880 2890 2925 2970 2992 3060 3120 3168 3179 3200 3240 3264 3300 3315 3366 3400 3432 3456 3468 3510 3520 3536 3564 3575 3600 3672 3740 3744 3757 3825 3861 3873 3900 3960 3978 4050 4080 4160 4212 4224 4290 4320 4335 4400 4420 4455 4488 4576 4590 4624 4675 4680 4752 4800 4862 4896 4950 4992 5049 5100 5148 5164 5184 5200 5202 5265 5280 5304 5400 5440 5508 5525 5610 5616 5720 5760 5780 5850 5940 5967 5984 6120 6240 6336 6358 6435 6455 6480 6528 6600 6630 6732 6800 6864 6885 6936 7020 7040 7072 7128 7150 7200 7225 7293 7344 7425 7480 7488 7514 7650 7722 7746 7800 7803 7920 7956 8100 8160 8320 8415 8424 8580 8640 8670 8775 8800 8840 8910 8976 9152 9180 9248 9350 9360 9504 9537 9600 9724 9792 9900 9945 10098 10200 10296 10328 10368 10400 10404 10530 10560 10608 10725 10800 10880 11016 11050 11220 11232 11271 11440 11475 11560 11583 11619 11700 11880 11934 11968 12155 12240 12480 12672 12716 12870 12910 12960 13005 13200 13260 13464 13600 13728 13770 13872 14025 14040 14144 14201 14256 14300 14400 14450 14586 14688 14850 14960 14976 15028 15147 15300 15444 15492 15600 15606 15840 15895 15912 16200 16320 16575 16783 16830 16848 17160 17280 17340 17550 17600 17680 17820 17901 17952 18304 18360 18496 18700 18720 18785 19008 19074 19305 19365 19448 19584 19800 19890 20196 20400 20592 20656 20800 20808 21060 21120 21216 21450 21600 21675 21879 21947 22032 22100 22275 22440 22464 22542 22880 22950 23120 23166 23238 23400 23409 23760 23868 23936 24310 24480 24960 25245 25432 25740 25820 25920 26010 26325 26400 26520 26928 27200 27456 27540 27744 28050 28080 28288 28402 28512 28600 28611 28800 28900 29172 29376 29700 29835 29920 30056 30294 30600 30888 30984 31200 31212 31680 31790 31824 32175 32275 32400 32640 33150 33566 33660 33696 33813 34320 34425 34680 34857 35100 35200 35360 35640 35802 35904 36465 36720 36992 37400 37440 37570 38016 38148 38610 38730 38896 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4801784130 4835363040 4924906800 4930174080 5021473600 5084242020 5121903072 5214607200 5238309960 5316854400 5318899344 5335315700 5355979200 5372625600 5423191488 5540520150 5587530624 5649157800 5688662400 5762140956 5820344400 5909888160 5981461200 6025768320 6044203800 6162717600 6257528640 6285971952 6355302525 6402378840 6447150720 6547887450 6566542400 6648624180 6778989360 6829204096 6952809600 6984413280 7091865792 7202676195 7387360200 7395261120 7532210400 7682854608 7760459200 7821910800 7857464940 7879850880 7975281600 8002973550 8058938400 8134787232 8216956800 8310780225 8381295936 8473736700 8536505120 8643211434 8730516600 8864832240 9038652480 9244076400 9312551040 9570337920 9603568260 9670726080 9821831175 9849813600 10042947200 10168484040 10243806144 10429214400 10476619920 10637798688 10670631400 10711958400 10745251200 10846382976 11081040300 11298315600 11524281912 11640688800 11819776320 11962922400 12004460325 12088407600 12325435200 12515057280 12571943904 12710605050 12804757680 13095774900 13133084800 13297248360 13557978720 13968826560 14183731584 14405352390 14774720400 14790522240 15064420800 15365709216 15520918400 15643821600 15714929880 15950563200 16005947100 16117876800 16269574464 16621560450 16762591872 16947473400 17073010240 17286422868 17461033200 17729664480 18077304960 18488152800 19207136520 19341452160 19643662350 19699627200 20336968080 20487612288 20858428800 20953239840 21275597376 21341262800 21608028585 22162080600 22596631200 23048563824 23281377600 23639552640 23925844800 24008920650 24176815200 24650870400 25143887808 25421210100 25609515360 26191549800 26594496720 27115957440 27937653120 28810704780 29549440800 30128841600 30731418432 31287643200 31429859760 32011894200 32235753600 32539148928 33243120900 33894946800 34146020480 34572845736 34922066400 35459328960 36013380975 36976305600 38414273040 39287324700 39399254400 40673936160 41906479680 42551194752 42682525600 43216057170 44324161200 45193262400 46097127648 46562755200 47851689600 48017841300 48353630400 50287775616 50842420200 51219030720 52383099600 53188993440 54231914880 57621409560 59098881600 61462836864 62575286400 62859719520 64023788400 66486241800 67789893600 69145691472 69844132800 70918657920 72026761950 73952611200 76828546080 78574649400 81347872320 83812959360 85365051200 86432114340 88648322400 90386524800 92194255296 96035682600 96707260800 101684840400 102438061440 104766199200 106377986880 108040142925 115242819120 118197763200 125719439040 128047576800 132972483600 135579787200 138291382944 139688265600 144053523900 153657092160 157149298800 162695744640 170730102400 172864228680 177296644800 184388510592 192071365200 203369680800 209532398400 212755973760 216080285850 230485638240 251438878080 256095153600 265944967200 271159574400 276582765888 288107047800 307314184320 314298597600 345728457360 354593289600 384142730400 406739361600 419064796800 432160571700 460971276480 512190307200 531889934400 553165531776 576214095600 628597195200 691456914720 768285460800 813478723200 864321143400 921942552960 1063779868800 1152428191200 1257194390400 1382913829440 1536570921600 1728642286800 2304856382400 2765827658880 3457284573600 4609712764800 6914569147200 13829138294400
- Sum of all divisors σ(n): 63737850828960
- Sum of proper divisors (its aliquot sum) s(n): 49908712534560
- 13829138294400 is an abundant number, because the sum of its proper divisors (49908712534560) is greater than itself. Its abundance is 36079574240160
Bases of 13829138294400
- Binary: 110010010011110110001110000000100110100000002
- Hexadecimal: 0xC93D8E02680
- Base-36: 4WH0NVS00
Squares and roots of 13829138294400
- 13829138294400 squared (138291382944002) is 191245065965640541071360000
- 13829138294400 cubed (138291382944003) is 2644754465360493721155080579088384000000
-
The
square root of 13829138294400 is 3718754.9387395777 -
The
cube root of 13829138294400 is 24002.9731816593
Scales and comparisons
How big is 13829138294400?- 13,829,138,294,400 seconds is equal to 439,723 years, 42 weeks, 5 days.
-
To count from 1 to 13,829,138,294,400 would take you about one million, ninety-nine thousand, three hundred nine 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 13829138294400 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13829138294400
- 13829138294400 backwards is 00449283192831
- 13829138294400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13829138294400's digits is 54
- More coming soon!
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"Number 13829138294400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13829138294400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13829138294400/
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The information we have on file for 13829138294400 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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