13972816166400
13,972,816,166,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13972816166400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3240 divisors.
13972816166400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 13972816166400:
29 × 32 × 52 × 72 × 132 × 97 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 97 × 151)See below for interesting mathematical facts about the number 13972816166400 from the Numbermatics database.
Names of 13972816166400
- Cardinal: 13972816166400 can be written as Thirteen trillion, nine hundred seventy-two billion, eight hundred sixteen million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.39728161664 × 1013
Factors of 13972816166400
Divisors of 13972816166400
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 97 98 100 104 105 112 117 120 126 128 130 140 144 147 150 151 156 160 168 169 175 180 182 192 194 195 196 200 208 210 224 225 234 240 245 252 256 260 273 280 288 291 294 300 302 312 315 320 325 336 338 350 360 364 384 388 390 392 400 416 420 441 448 450 453 455 468 480 485 490 504 507 512 520 525 546 560 576 582 585 588 600 604 624 630 637 640 650 672 676 679 700 720 728 735 755 768 776 780 784 800 819 832 840 845 873 882 896 900 906 910 936 960 970 975 980 1008 1014 1040 1050 1057 1092 1120 1152 1164 1170 1176 1183 1200 1208 1225 1248 1260 1261 1274 1280 1300 1344 1352 1358 1359 1365 1400 1440 1455 1456 1470 1510 1521 1536 1552 1560 1568 1575 1600 1638 1664 1680 1690 1746 1764 1792 1800 1812 1820 1872 1911 1920 1940 1950 1960 1963 2016 2028 2037 2080 2100 2114 2184 2205 2240 2265 2275 2304 2328 2340 2352 2366 2400 2416 2425 2450 2496 2520 2522 2535 2548 2560 2600 2688 2704 2716 2718 2730 2800 2880 2910 2912 2925 2940 3020 3042 3104 3120 3136 3150 3171 3185 3200 3276 3328 3360 3380 3395 3492 3528 3549 3584 3600 3624 3640 3675 3744 3775 3783 3822 3840 3880 3900 3920 3926 4032 4056 4074 4095 4160 4200 4225 4228 4365 4368 4410 4480 4530 4550 4608 4656 4680 4704 4732 4753 4800 4832 4850 4900 4992 5040 5044 5070 5096 5200 5285 5376 5408 5432 5436 5460 5600 5733 5760 5820 5824 5850 5880 5889 5915 6040 6084 6111 6208 6240 6272 6300 6305 6342 6370 6400 6552 6656 6720 6760 6790 6795 6825 6984 7056 7098 7200 7248 7275 7280 7350 7399 7488 7550 7566 7605 7644 7680 7760 7800 7840 7852 8064 8112 8148 8190 8281 8320 8400 8450 8456 8730 8736 8820 8827 8960 9060 9100 9312 9360 9408 9464 9506 9513 9555 9600 9664 9700 9800 9815 9984 10080 10088 10140 10185 10192 10400 10570 10647 10752 10816 10864 10872 10920 11025 11200 11325 11349 11466 11520 11640 11648 11700 11760 11778 11830 12080 12168 12222 12416 12480 12544 12600 12610 12675 12684 12740 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46267603200 46576053888 47526585600 48016550400 48516722800 49902914880 51182476800 53741600640 54581313150 55447683200 57031902720 58220067360 59712889600 62101405184 62378643600 66537219840 67177000800 69864080832 71289878400 71655467520 72024825600 72775084200 76773715200 77626756480 79844663808 82679385600 83171524800 87330101040 89569334400 92535206400 93152107776 95053171200 97033445600 99805829760 107483201280 109162626300 110895366400 116440134720 119425779200 124757287200 133074439680 134354001600 139728161664 142579756800 144049651200 145550168400 153547430400 155253512960 166343049600 174660202080 179138668800 186304215552 194066891200 199611659520 214966402560 218325252600 221790732800 232880269440 249514574400 268708003200 279456323328 285159513600 291100336800 310507025920 332686099200 349320404160 358277337600 388133782400 399223319040 436650505200 465760538880 499029148800 537416006400 558912646656 582200673600 665372198400 698640808320 776267564800 873301010400 931521077760 998058297600 1074832012800 1164401347200 1397281616640 1552535129600 1746602020800 1996116595200 2328802694400 2794563233280 3493204041600 4657605388800 6986408083200 13972816166400
- Sum of all divisors σ(n): 64058429779344
- Sum of proper divisors (its aliquot sum) s(n): 50085613612944
- 13972816166400 is an abundant number, because the sum of its proper divisors (50085613612944) is greater than itself. Its abundance is 36112797446544
Bases of 13972816166400
- Binary: 110010110101010011001011111001111110000000002
- Hexadecimal: 0xCB54CBE7E00
- Base-36: 4YB0TZ7K0
Squares and roots of 13972816166400
- 13972816166400 squared (139728161664002) is 195239591620009192488960000
- 13972816166400 cubed (139728161664003) is 2728046922109398410526349741522944000000
-
The
square root of 13972816166400 is 3738023.0291425439 -
The
cube root of 13972816166400 is 24085.8132710753
Scales and comparisons
How big is 13972816166400?- 13,972,816,166,400 seconds is equal to 444,292 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 13,972,816,166,400 would take you about one million, one hundred ten thousand, seven hundred thirty 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 13972816166400 cubic inches would be around 2007.2 feet tall.
Recreational maths with 13972816166400
- 13972816166400 backwards is 00466161827931
- The number of decimal digits it has is: 14
- The sum of 13972816166400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13972816166400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 13972816166400 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/13972816166400/
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The information we have on file for 13972816166400 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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