13138028440473600
13,138,028,440,473,600 is an even composite number composed of seven prime numbers multiplied together.
13138028440473600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 13138028440473600:
212 × 32 × 52 × 172 × 61 × 449 × 1801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 17 × 61 × 449 × 1801)See below for interesting mathematical facts about the number 13138028440473600 from the Numbermatics database.
Names of 13138028440473600
- Cardinal: 13138028440473600 can be written as Thirteen quadrillion, one hundred thirty-eight trillion, twenty-eight billion, four hundred forty million, four hundred seventy-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.31380284404736 × 1016
Factors of 13138028440473600
Divisors of 13138028440473600
- Number of divisors d(n): 2808
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 61 64 68 72 75 80 85 90 96 100 102 120 122 128 136 144 150 153 160 170 180 183 192 200 204 225 240 244 255 256 272 288 289 300 305 306 320 340 360 366 384 400 408 425 449 450 480 488 510 512 544 549 576 578 600 610 612 640 680 720 732 765 768 800 816 850 867 898 900 915 960 976 1020 1024 1037 1088 1098 1152 1156 1200 1220 1224 1275 1280 1347 1360 1440 1445 1464 1525 1530 1536 1600 1632 1700 1734 1796 1800 1801 1830 1920 1952 2040 2048 2074 2176 2196 2245 2304 2312 2400 2440 2448 2550 2560 2601 2694 2720 2745 2880 2890 2928 3050 3060 3072 3111 3200 3264 3400 3468 3592 3600 3602 3660 3825 3840 3904 4041 4080 4096 4148 4335 4352 4392 4490 4575 4608 4624 4800 4880 4896 5100 5120 5185 5202 5388 5403 5440 5490 5760 5780 5856 6100 6120 6144 6222 6400 6528 6735 6800 6936 7184 7200 7204 7225 7320 7633 7650 7680 7808 8082 8160 8296 8670 8704 8784 8980 9005 9150 9216 9248 9333 9600 9760 9792 10200 10240 10370 10404 10776 10806 10880 10980 11225 11520 11560 11712 12200 12240 12288 12444 12800 13005 13056 13470 13600 13725 13872 14368 14400 14408 14450 14640 15266 15300 15360 15555 15616 16164 16209 16320 16592 17340 17408 17568 17629 17960 18010 18300 18432 18496 18666 19200 19520 19584 20205 20400 20480 20740 20808 21552 21612 21675 21760 21960 22450 22899 23040 23120 23424 24400 24480 24888 25600 25925 26010 26112 26940 27015 27200 27389 27450 27744 28736 28800 28816 28900 29280 30532 30600 30617 30720 31110 31232 32328 32418 32640 33184 33675 34680 34816 35136 35258 35920 36020 36600 36864 36992 37332 38165 38400 39040 39168 40410 40800 41480 41616 43104 43224 43350 43520 43920 44900 45025 45798 46080 46240 46665 46848 48800 48960 49776 51200 51850 52020 52224 52887 53880 54030 54400 54778 54900 55488 57472 57600 57632 57800 58560 61064 61200 61234 61440 62220 62464 64656 64836 65025 65280 66368 67350 68697 69360 69632 70272 70516 71840 72040 73200 73984 74664 76330 76800 77775 78080 78336 80820 81045 81600 82167 82960 83232 86208 86448 86700 87040 87840 88145 89800 90050 91596 91851 92160 92480 93330 93696 97600 97920 99552 101025 102400 103700 104040 104448 105774 107760 108060 108800 109556 109800 109861 110976 114495 114944 115200 115264 115600 117120 122128 122400 122468 124440 124928 129312 129672 129761 130050 130560 132736 134700 135075 136945 137394 138720 140544 141032 143680 144080 146400 147968 149328 152660 153085 153600 155550 156160 156672 158661 161640 162090 163200 164334 165920 166464 172416 172896 173400 174080 175680 176290 179600 180100 183192 183702 184320 184960 186660 187392 190825 195200 195840 199104 202050 207400 208080 208896 211548 215520 216120 217600 219112 219600 219722 221952 228990 229888 230400 230528 231200 233325 234240 244256 244800 244936 246501 248880 249856 258624 259344 259522 260100 261120 264435 265472 269400 270150 273890 274788 275553 277440 281088 282064 287360 288160 292800 295936 298656 305320 306170 307200 311100 312320 313344 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717925051392 729485199360 731516060160 745250918400 747838595200 754712111700 757671767040 791829100800 805026252480 810539110400 812795622400 841318419600 844617707520 855340393260 858694669312 860607129600 897406314240 909206120448 911856499200 912363086144 914395075200 947089708800 957233401856 966031502976 975354746880 1006282815600 1010229022720 1026408471912 1055772134400 1069175491575 1073368336640 1076887577088 1121757892800 1136507650560 1140453857680 1170425696256 1196541752320 1207539378720 1215808665600 1219193433600 1262786278400 1266926561280 1283010589890 1288042003968 1341710420800 1346109471360 1368544629216 1407696179200 1420634563200 1425567322100 1435850102784 1458970398720 1463032120320 1495677190400 1509424223400 1515343534080 1583658201600 1610052504960 1625591244800 1682636839200 1710680786520 1717389338624 1721214259200 1794812628480 1818412240896 1823712998400 1824726172288 1828790150400 1894179417600 1932063005952 1950709493760 2012565631200 2052816943824 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7728252023808 8050262524800 8211267775296 8553403932600 8586946693120 8615100616704 8974063142400 9092061204480 9123630861440 9660315029760 9753547468800 10264084719120 10304336031744 10733683366400 10768875770880 10948357033728 11365076505600 11404538576800 11965417523200 12075393787200 12669265612800 12830105898900 12880420039680 13461094713600 13685446292160 14358501027840 14597809378304 14630321203200 15153435340800 15456504047616 16100525049600 16422535550592 17106807865200 17173893386240 17948126284800 18247261722880 19320630059520 20528169438240 21467366732800 21537751541760 21896714067456 22730153011200 22809077153600 23930835046400 24150787574400 25660211797800 25760840079360 26922189427200 27370892584320 29195618756608 29260642406400 30913008095232 32201050099200 32845071101184 34213615730400 35896252569600 36494523445760 38641260119040 41056338876480 42934733465600 43075503083520 43793428134912 45460306022400 45618154307200 48301575148800 51320423595600 51521680158720 53844378854400 54741785168640 58391237513216 64402100198400 65690142202368 68427231460800 71792505139200 72989046891520 77282520238080 82112677752960 85869466931200 87586856269824 91236308614400 96603150297600 102640847191200 107688757708800 109483570337280 128804200396800 131380284404736 136854462921600 145978093783040 154565040476160 164225355505920 175173712539648 182472617228800 193206300595200 205281694382400 215377515417600 218967140674560 257608400793600 262760568809472 273708925843200 291956187566080 328450711011840 364945234457600 386412601190400 410563388764800 437934281349120 525521137618944 547417851686400 656901422023680 729890468915200 772825202380800 821126777529600 875868562698240 1094835703372800 1313802844047360 1459780937830400 1642253555059200 2189671406745600 2627605688094720 3284507110118400 4379342813491200 6569014220236800 13138028440473600
- Sum of all divisors σ(n): 50949430914493800
- Sum of proper divisors (its aliquot sum) s(n): 37811402474020200
- 13138028440473600 is an abundant number, because the sum of its proper divisors (37811402474020200) is greater than itself. Its abundance is 24673374033546600
Bases of 13138028440473600
- Binary: 1011101010110011110111100111100011111001010000000000002
- Hexadecimal: 0x2EACF79E3E5000
- Base-36: 3LD1IXZM680
Squares and roots of 13138028440473600
- 13138028440473600 squared (131380284404736002) is 172607791302693174138592296960000
- 13138028440473600 cubed (131380284404736003) is 2267726071182114620387653586297442854240256000000
-
The
square root of 13138028440473600 is 114621239.0461453701 -
The
cube root of 13138028440473600 is 235962.7229765469
Scales and comparisons
How big is 13138028440473600?- 13,138,028,440,473,600 seconds is equal to 417,748,665 years, 42 weeks, 3 days, 8 hours.
-
To count from 1 to 13,138,028,440,473,600 would take you about one billion, two hundred fifty-three million, two hundred forty-five thousand, nine hundred ninety-seven 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 13138028440473600 cubic inches would be around 19663.6 feet tall.
Recreational maths with 13138028440473600
- 13138028440473600 backwards is 00637404482083131
- The number of decimal digits it has is: 17
- The sum of 13138028440473600's digits is 54
- More coming soon!
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"Number 13138028440473600 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 13138028440473600 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/13138028440473600/
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The information we have on file for 13138028440473600 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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