13742189959680
13,742,189,959,680 is an even composite number composed of seven prime numbers multiplied together.
13742189959680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13742189959680:
29 × 32 × 5 × 74 × 13 × 97 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 13 × 97 × 197)See below for interesting mathematical facts about the number 13742189959680 from the Numbermatics database.
Names of 13742189959680
- Cardinal: 13742189959680 can be written as Thirteen trillion, seven hundred forty-two billion, one hundred eighty-nine million, nine hundred fifty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.374218995968 × 1013
Factors of 13742189959680
Divisors of 13742189959680
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 49 52 56 60 63 64 65 70 72 78 80 84 90 91 96 97 98 104 105 112 117 120 126 128 130 140 144 147 156 160 168 180 182 192 194 195 196 197 208 210 224 234 240 245 252 256 260 273 280 288 291 294 312 315 320 336 343 360 364 384 388 390 392 394 416 420 441 448 455 468 480 485 490 504 512 520 546 560 576 582 585 588 591 624 630 637 640 672 679 686 720 728 735 768 776 780 784 788 819 832 840 873 882 896 910 936 960 970 980 985 1008 1029 1040 1092 1120 1152 1164 1170 1176 1182 1248 1260 1261 1274 1280 1344 1358 1365 1372 1379 1440 1455 1456 1470 1536 1552 1560 1568 1576 1638 1664 1680 1715 1746 1764 1773 1792 1820 1872 1911 1920 1940 1960 1970 2016 2037 2058 2080 2184 2205 2240 2304 2328 2340 2352 2364 2401 2496 2520 2522 2548 2560 2561 2688 2716 2730 2744 2758 2880 2910 2912 2940 2955 3087 3104 3120 3136 3152 3185 3276 3328 3360 3395 3430 3492 3528 3546 3584 3640 3744 3783 3822 3840 3880 3920 3940 4032 4074 4095 4116 4137 4160 4365 4368 4410 4459 4480 4608 4656 4680 4704 4728 4753 4802 4992 5040 5044 5096 5122 5145 5376 5432 5460 5488 5516 5733 5760 5820 5824 5880 5910 6111 6174 6208 6240 6272 6304 6305 6370 6552 6656 6720 6790 6860 6895 6984 7056 7092 7203 7280 7488 7566 7644 7680 7683 7760 7840 7880 8064 8148 8190 8232 8274 8320 8730 8736 8820 8827 8865 8918 8960 9312 9360 9408 9456 9506 9555 9604 9653 9984 10080 10088 10185 10192 10244 10290 10752 10864 10920 10976 11032 11349 11466 11520 11640 11648 11760 11820 12005 12222 12348 12411 12416 12480 12544 12608 12610 12740 12805 13104 13377 13440 13580 13720 13790 13968 14112 14184 14259 14406 14560 14976 15132 15288 15366 15435 15520 15680 15760 16128 16296 16380 16464 16548 16640 17460 17472 17640 17654 17730 17836 17920 17927 18624 18720 18816 18912 18915 19012 19109 19110 19208 19306 19968 20160 20176 20370 20384 20488 20580 20685 21609 21728 21840 21952 22064 22295 22698 22932 23040 23049 23280 23296 23520 23640 23765 24010 24444 24696 24822 24832 24960 25088 25216 25220 25480 25610 26208 26481 26754 26880 27160 27440 27580 27936 28224 28368 28518 28665 28812 28959 29120 29952 30264 30555 30576 30732 30870 31040 31213 31360 31520 32256 32592 32760 32928 33096 33271 33280 34920 34944 35280 35308 35460 35672 35854 36015 37248 37440 37632 37824 37830 38024 38218 38220 38415 38416 38612 40131 40320 40352 40740 40768 40976 41160 41370 42777 43218 43456 43680 43904 44128 44135 44590 45396 45864 46098 46560 46592 47040 47280 47530 48020 48265 48888 49392 49644 49664 49920 50432 50440 50960 51220 52416 52962 53508 53760 53781 54320 54880 55160 55872 56448 56736 56745 57036 57327 57330 57624 57918 58240 59904 60528 61110 61152 61464 61740 61789 62055 62080 62426 62720 63040 65184 65520 65856 66192 66542 66885 67571 69840 69888 70560 70616 70920 71295 71344 71708 72030 74496 74880 75264 75648 75660 76048 76436 76440 76830 76832 77224 79443 80262 80640 80704 81480 81536 81952 82320 82740 85554 86436 86877 86912 87360 87808 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5813109120 5842767840 5872730752 5903002560 5964492170 6134906232 6232285696 6292211520 6606822096 6677448960 6746288640 6816562480 6975730944 7011321408 7083603072 7157390604 7191098880 7340913440 7550653824 7668632790 7750812160 7790357120 7870670080 8012938752 8179874976 8258527620 8389615360 8719663680 8764151760 8809096128 8854503840 8946738255 9348428544 9438317280 9444804096 9543187472 9965329920 10016173440 10067538432 10119432960 10224843720 10736085906 10786648320 10897850880 10906499968 11011370160 11626218240 11685535680 11745461504 11806005120 11928984340 12269812464 12584423040 13213644192 13354897920 13633124960 13951461888 14022642816 14167206144 14314781208 14681826880 15101307648 15337265580 15580714240 15741340160 16359749952 16517055240 16779230720 17439327360 17528303520 17618192256 17709007680 17893476510 18696857088 18876634560 19086374944 20032346880 20238865920 20449687440 21472171812 21573296640 21812999936 22022740320 23252436480 23371071360 23490923008 23612010240 23857968680 24539624928 25168846080 26427288384 26840214765 27266249920 28045285632 28334412288 28629562416 29363653760 30202615296 30674531160 31161428480 32719499904 33034110480 34878654720 35056607040 35236384512 35418015360 35786953020 37753269120 38172749888 40064693760 40899374880 42944343624 43625999872 44045480640 46742142720 47224020480 47715937360 49079249856 50337692160 52854576768 53680429530 54532499840 56090571264 57259124832 58727307520 61349062320 65438999808 66068220960 69757309440 70113214080 70472769024 70836030720 71573906040 75506538240 76345499776 81798749760 85888687248 88090961280 93484285440 95431874720 98158499712 105709153536 107360859060 109064999680 114518249664 117454615040 122698124640 130877999616 132136441920 140226428160 141672061440 143147812080 151013076480 152690999552 163597499520 171777374496 176181922560 190863749440 196316999424 211418307072 214721718120 218129999360 229036499328 245396249280 264272883840 280452856320 286295624160 305381999104 327194999040 343554748992 352363845120 381727498880 392633998848 429443436240 458072998656 490792498560 528545767680 572591248320 654389998080 687109497984 763454997760 858886872480 916145997312 981584997120 1057091535360 1145182496640 1374218995968 1526909995520 1717773744960 1963169994240 2290364993280 2748437991936 3435547489920 4580729986560 6871094979840 13742189959680
- Sum of all divisors σ(n): 60715929338064
- Sum of proper divisors (its aliquot sum) s(n): 46973739378384
- 13742189959680 is an abundant number, because the sum of its proper divisors (46973739378384) is greater than itself. Its abundance is 33231549418704
Bases of 13742189959680
- Binary: 110001111111100110100101100111011010000000002
- Hexadecimal: 0xC7F9A59DA00
- Base-36: 4VD2P37K0
Squares and roots of 13742189959680
- 13742189959680 squared (137421899596802) is 188847784887929800025702400
- 13742189959680 cubed (137421899596803) is 2595182133394717331933877727219679232000
-
The
square root of 13742189959680 is 3707045.9883416607 -
The
cube root of 13742189959680 is 23952.5625253595
Scales and comparisons
How big is 13742189959680?- 13,742,189,959,680 seconds is equal to 436,959 years, 6 weeks, 6 days, 12 hours, 48 minutes.
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To count from 1 to 13,742,189,959,680 would take you about one million, ninety-two thousand, three 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 13742189959680 cubic inches would be around 1996 feet tall.
Recreational maths with 13742189959680
- 13742189959680 backwards is 08695998124731
- 13742189959680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13742189959680's digits is 72
- More coming soon!
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The information we have on file for 13742189959680 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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