13828630921504358400
13,828,630,921,504,358,400 is an even composite number composed of five prime numbers multiplied together.
13828630921504358400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred sixty-three divisors.
Prime factorization of 13828630921504358400:
222 × 32 × 52 × 72 × 172932
(2 × 2 × 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 × 7 × 17293 × 17293)See below for interesting mathematical facts about the number 13828630921504358400 from the Numbermatics database.
Names of 13828630921504358400
- Cardinal: 13828630921504358400 can be written as Thirteen quintillion, eight hundred twenty-eight quadrillion, six hundred thirty trillion, nine hundred twenty-one billion, five hundred four million, three hundred fifty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.38286309215043584 × 1019
Factors of 13828630921504358400
Divisors of 13828630921504358400
- Number of divisors d(n): 1863
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 256 280 288 294 300 315 320 336 350 360 384 392 400 420 441 448 450 480 490 504 512 525 560 576 588 600 630 640 672 700 720 735 768 784 800 840 882 896 900 960 980 1008 1024 1050 1120 1152 1176 1200 1225 1260 1280 1344 1400 1440 1470 1536 1568 1575 1600 1680 1764 1792 1800 1920 1960 2016 2048 2100 2205 2240 2304 2352 2400 2450 2520 2560 2688 2800 2880 2940 3072 3136 3150 3200 3360 3528 3584 3600 3675 3840 3920 4032 4096 4200 4410 4480 4608 4704 4800 4900 5040 5120 5376 5600 5760 5880 6144 6272 6300 6400 6720 7056 7168 7200 7350 7680 7840 8064 8192 8400 8820 8960 9216 9408 9600 9800 10080 10240 10752 11025 11200 11520 11760 12288 12544 12600 12800 13440 14112 14336 14400 14700 15360 15680 16128 16384 16800 17293 17640 17920 18432 18816 19200 19600 20160 20480 21504 22050 22400 23040 23520 24576 25088 25200 25600 26880 28224 28672 28800 29400 30720 31360 32256 32768 33600 34586 35280 35840 36864 37632 38400 39200 40320 40960 43008 44100 44800 46080 47040 49152 50176 50400 51200 51879 53760 56448 57344 57600 58800 61440 62720 64512 65536 67200 69172 70560 71680 73728 75264 76800 78400 80640 81920 86016 86465 88200 89600 92160 94080 98304 100352 100800 102400 103758 107520 112896 114688 115200 117600 121051 122880 125440 129024 131072 134400 138344 141120 143360 147456 150528 153600 155637 156800 161280 163840 172032 172930 176400 179200 184320 188160 196608 200704 201600 204800 207516 215040 225792 229376 230400 235200 242102 245760 250880 258048 259395 262144 268800 276688 282240 286720 294912 301056 307200 311274 313600 322560 327680 344064 345860 352800 358400 363153 368640 376320 393216 401408 403200 409600 415032 430080 432325 451584 458752 460800 470400 484204 491520 501760 516096 518790 524288 537600 553376 564480 573440 589824 602112 605255 614400 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4390041562382336 4409639962214400 4501507461427200 4703615959695360 4801607958855680 4938796757680128 5144579955916800 5401808953712640 5487551952977920 5644339151634432 5761929550626816 5879519949619200 6002009948569600 6173495947100160 6271487946260480 6585062343573504 6752261192140800 6859439941222400 7055423939543040 7202411938283520 7682572734169088 7716869933875200 7839359932825600 8231327929466880 8642894325940224 8780083124764672 8819279924428800 9003014922854400 9407231919390720 9603215917711360 9877593515360256 10289159911833600 10803617907425280 10975103905955840 11288678303268864 11523859101253632 11759039899238400 12004019897139200 12346991894200320 13170124687147008 13504522384281600 13718879882444800 14110847879086080 14404823876567040 15365145468338176 15433739867750400 15678719865651200 16462655858933760 17285788651880448 17638559848857600 18006029845708800 18814463838781440 19206431835422720 19755187030720512 20578319823667200 21607235814850560 21950207811911680 23047718202507264 23518079798476800 24008039794278400 24693983788400640 26340249374294016 27009044768563200 27437759764889600 28221695758172160 28809647753134080 30730290936676352 30867479735500800 31357439731302400 32925311717867520 34571577303760896 35277119697715200 36012059691417600 38412863670845440 39510374061441024 41156639647334400 43214471629701120 43900415623823360 46095436405014528 47036159596953600 48016079588556800 49387967576801280 54018089537126400 54875519529779200 56443391516344320 57619295506268160 61460581873352704 61734959471001600 65850623435735040 69143154607521792 70554239395430400 72024119382835200 76825727341690880 79020748122882048 82313279294668800 86428943259402240 92190872810029056 94072319193907200 96032159177113600 98775935153602560 108036179074252800 109751039059558400 115238591012536320 123469918942003200 131701246871470080 138286309215043584 141108478790860800 144048238765670400 153651454683381760 164626558589337600 172857886518804480 184381745620058112 192064318354227200 197551870307205120 216072358148505600 219502078119116800 230477182025072640 246939837884006400 276572618430087168 282216957581721600 288096477531340800 307302909366763520 329253117178675200 345715773037608960 384128636708454400 395103740614410240 432144716297011200 460954364050145280 493879675768012800 553145236860174336 576192955062681600 658506234357350400 691431546075217920 768257273416908800 864289432594022400 921908728100290560 987759351536025600 1152385910125363200 1382863092150435840 1536514546833817600 1728578865188044800 1975518703072051200 2304771820250726400 2765726184300871680 3457157730376089600 4609543640501452800 6914315460752179200 13828630921504358400
- Sum of all divisors σ(n): 57628265437984674771
- Sum of proper divisors (its aliquot sum) s(n): 43799634516480316371
- 13828630921504358400 is an abundant number, because the sum of its proper divisors (43799634516480316371) is greater than itself. Its abundance is 29971003594975957971
Bases of 13828630921504358400
- Binary: 10111111111010010010101010001110010011100100000000000000000000002
- Hexadecimal: 0xBFE92A8E4E400000
- Base-36: 2X2A8JK4PYPS0
Squares and roots of 13828630921504358400
- 13828630921504358400 squared (138286309215043584002) is 191231033163186480572266550195650560000
- 13828630921504358400 cubed (138286309215043584003) is 2644463378351665982047342663332631375357163763400704000000
-
13828630921504358400 is a
perfect square number . Itssquare root is 3718686720 -
The
cube root of 13828630921504358400 is 2400267.9632230461
Scales and comparisons
How big is 13828630921504358400?- 13,828,630,921,504,358,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,828,630,921,504,358,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13828630921504358400 cubic inches would be around 200022.3 feet tall.
Recreational maths with 13828630921504358400
- 13828630921504358400 backwards is 00485340512903682831
- 13828630921504358400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13828630921504358400's digits is 72
- More coming soon!
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The information we have on file for 13828630921504358400 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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