13948847942400
13,948,847,942,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13948847942400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.
13948847942400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13948847942400:
28 × 32 × 52 × 7 × 17 × 61 × 73 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 17 × 61 × 73 × 457)See below for interesting mathematical facts about the number 13948847942400 from the Numbermatics database.
Names of 13948847942400
- Cardinal: 13948847942400 can be written as Thirteen trillion, nine hundred forty-eight billion, eight hundred forty-seven million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.39488479424 × 1013
Factors of 13948847942400
Divisors of 13948847942400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 50 51 56 60 61 63 64 68 70 72 73 75 80 84 85 90 96 100 102 105 112 119 120 122 126 128 136 140 144 146 150 153 160 168 170 175 180 183 192 200 204 210 219 224 225 238 240 244 252 255 256 272 280 288 292 300 305 306 315 320 336 340 350 357 360 365 366 384 400 408 420 425 427 438 448 450 457 476 480 488 504 510 511 525 544 549 560 576 584 595 600 610 612 630 640 657 672 680 700 714 720 730 732 765 768 800 816 840 850 854 876 896 900 914 915 952 960 976 1008 1020 1022 1037 1050 1071 1088 1095 1098 1120 1152 1168 1190 1200 1220 1224 1241 1260 1275 1280 1281 1314 1344 1360 1371 1400 1428 1440 1460 1464 1525 1530 1533 1575 1600 1632 1680 1700 1708 1752 1785 1792 1800 1825 1828 1830 1904 1920 1952 2016 2040 2044 2074 2100 2135 2142 2176 2190 2196 2240 2285 2304 2336 2380 2400 2440 2448 2482 2520 2550 2555 2562 2628 2688 2720 2742 2745 2800 2856 2880 2920 2928 2975 3050 3060 3066 3111 3150 3199 3200 3264 3285 3360 3400 3416 3504 3570 3600 3650 3656 3660 3723 3808 3825 3840 3843 3904 4032 4080 4088 4113 4148 4200 4270 4284 4352 4380 4392 4453 4480 4570 4575 4599 4672 4760 4800 4880 4896 4964 5040 5100 5110 5124 5185 5256 5355 5376 5440 5475 5484 5490 5600 5712 5760 5840 5856 5950 6100 6120 6132 6205 6222 6300 6398 6400 6405 6528 6570 6720 6800 6832 6855 7008 7140 7200 7259 7300 7312 7320 7446 7616 7650 7665 7686 7769 7808 8064 8160 8176 8226 8296 8400 8540 8568 8687 8760 8784 8906 8925 8960 9140 9150 9198 9333 9344 9520 9597 9600 9760 9792 9928 10080 10200 10220 10248 10370 10512 10675 10710 10880 10950 10968 10980 11169 11200 11424 11425 11520 11680 11712 11900 12200 12240 12264 12410 12444 12600 12775 12796 12810 13056 13140 13359 13440 13600 13664 13710 13725 14016 14280 14400 14518 14600 14624 14640 14892 15232 15300 15330 15372 15538 15555 15616 15995 16128 16320 16352 16425 16452 16592 16800 17080 17136 17374 17520 17568 17812 17850 18280 18300 18396 18615 18666 18688 19040 19194 19200 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62271642600 63693369600 66423085440 68376705600 69744239712 72650249700 76223212800 77493599680 79707702528 82052046720 83028856800 87180299640 91168940800 92992319616 95540054400 96866999600 99634628160 102565058400 108975374550 110705142400 114334819200 116240399520 117217209600 124543285200 132846170880 136753411200 139488479424 145300499400 154987199360 164104093440 166057713600 174360599280 185984639232 191080108800 193733999200 199269256320 205130116800 217950749100 221410284800 228669638400 232480799040 249086570400 273506822400 278976958848 290600998800 309974398720 332115427200 348721198560 387467998400 398538512640 410260233600 435901498200 464961598080 498173140800 557953917696 581201997600 664230854400 697442397120 774935996800 820520467200 871802996400 929923196160 996346281600 1162403995200 1394884794240 1549871993600 1743605992800 1992692563200 2324807990400 2789769588480 3487211985600 4649615980800 6974423971200 13948847942400
- Sum of all divisors σ(n): 62312808475008
- Sum of proper divisors (its aliquot sum) s(n): 48363960532608
- 13948847942400 is an abundant number, because the sum of its proper divisors (48363960532608) is greater than itself. Its abundance is 34415112590208
Bases of 13948847942400
- Binary: 110010101111101110000010000001101011000000002
- Hexadecimal: 0xCAFB8206B00
- Base-36: 4Y00FWZK0
Squares and roots of 13948847942400
- 13948847942400 squared (139488479424002) is 194570358920196713717760000
- 13948847942400 cubed (139488479424003) is 2714032350676015415945218430337024000000
-
The
square root of 13948847942400 is 3734815.6503902571 -
The
cube root of 13948847942400 is 24072.0335490235
Scales and comparisons
How big is 13948847942400?- 13,948,847,942,400 seconds is equal to 443,530 years, 11 weeks, 2 days, 8 hours.
-
To count from 1 to 13,948,847,942,400 would take you about one million, one hundred eight thousand, eight hundred twenty-five 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 13948847942400 cubic inches would be around 2006 feet tall.
Recreational maths with 13948847942400
- 13948847942400 backwards is 00424974884931
- 13948847942400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13948847942400's digits is 63
- More coming soon!
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"Number 13948847942400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13948847942400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13948847942400/
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The information we have on file for 13948847942400 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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