13138431486768
13,138,431,486,768 is an even composite number composed of six prime numbers multiplied together.
What does the number 13138431486768 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 640 divisors.
13138431486768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 13138431486768:
24 × 33 × 73 × 131 × 683 × 991
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 131 × 683 × 991)See below for interesting mathematical facts about the number 13138431486768 from the Numbermatics database.
Names of 13138431486768
- Cardinal: 13138431486768 can be written as Thirteen trillion, one hundred thirty-eight billion, four hundred thirty-one million, four hundred eighty-six thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3138431486768 × 1013
Factors of 13138431486768
Divisors of 13138431486768
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 131 144 147 168 189 196 216 252 262 294 336 343 378 392 393 432 441 504 524 588 683 686 756 784 786 882 917 991 1008 1029 1048 1176 1179 1323 1366 1372 1512 1572 1764 1834 1982 2049 2058 2096 2352 2358 2646 2732 2744 2751 2973 3024 3087 3144 3528 3537 3668 3964 4098 4116 4716 4781 5292 5464 5488 5502 5946 6147 6174 6288 6419 6937 7056 7074 7336 7928 8196 8232 8253 8919 9261 9432 9562 10584 10928 11004 11892 12294 12348 12838 13874 14148 14343 14672 15856 16392 16464 16506 17838 18441 18522 18864 19124 19257 20811 21168 22008 23784 24588 24696 24759 25676 26757 27748 28296 28686 32784 33012 33467 35676 36882 37044 38248 38514 41622 43029 44016 44933 47568 48559 49176 49392 49518 51352 53514 55496 56592 57372 57771 62433 66024 66934 71352 73764 74088 76496 77028 83244 86058 89473 89866 97118 98352 99036 100401 102704 107028 110992 114744 115542 124866 129087 129821 132048 133868 134799 142704 145677 147528 148176 154056 166488 172116 173313 178946 179732 187299 194236 198072 200802 214056 229488 231084 234269 249732 258174 259642 267736 268419 269598 291354 295056 301203 308112 332976 339913 344232 346626 357892 359464 374598 388472 389463 396144 401604 404397 428112 437031 462168 468538 499464 516348 519284 535472 536838 539196 582708 602406 626311 676853 679826 688464 693252 702807 715784 718928 749196 776944 778926 803208 805257 808794 874062 903609 908747 924336 937076 998928 1019739 1032696 1038568 1073676 1078392 1165416 1168389 1204812 1213191 1252622 1311093 1353706 1359652 1386504 1405614 1431568 1498392 1557852 1606416 1610514 1617588 1748124 1807218 1817494 1874152 1878933 2030559 2039478 2065392 2077136 2108421 2147352 2156784 2330832 2336778 2409624 2415771 2426382 2505244 2622186 2707412 2719304 2726241 2773008 2811228 2996784 3059217 3115704 3221028 3235176 3496248 3505167 3614436 3634988 3748304 3757866 4061118 4078956 4216842 4294704 4384177 4673556 4737971 4819248 4831542 4852764 5010488 5244372 5414824 5438608 5452482 5622456 5636799 6091677 6118434 6231408 6325263 6361229 6442056 6470352 6992496 7010334 7228872 7269976 7515732 8122236 8157912 8178723 8433684 8768354 9177651 9347112 9475942 9663084 9705528 10020976 10488744 10829648 10904964 11244912 11273598 12183354 12236868 12650526 12722458 12884112 13152531 14020668 14213913 14457744 14539952 15031464 16244472 16315824 16357446 16867368 16910397 17536708 18275031 18355302 18694224 18951884 19083687 19326168 19411056 20977488 21809928 22547196 24366708 24473736 24536169 25301052 25444916 26305062 28041336 28427826 30062928 30689239 32488944 32714892 33165797 33734736 33820794 35073416 36550062 36710604 37903768 38167374 38652336 39457593 42641739 43619856 44528603 45094392 48733416 48947472 49072338 50602104 50889832 52610124 56082672 56855652 57251061 61378478 65429784 66331594 67641588 70146832 73100124 73421208 75807536 76334748 78915186 85283478 88667743 89057206 90188784 92067717 97466832 98144676 99497391 101204208 101779664 105220248 113711304 114502122 118372779 122756956 127925217 130859568 132663188 133585809 135283176 146200248 146842416 152669496 157830372 170566956 171753183 177335486 178114412 184135434 196289352 198994782 210440496 227422608 229004244 232160579 236745558 245513912 255850434 265326376 266003229 267171618 270566352 276203151 292400496 298492173 305338992 315660744 341133912 343506366 354670972 356228824 368270868 392578704 397989564 400757427 458008488 464321158 473491116 491027824 511700868 530652752 532006458 534343236 552406302 596984346 620674201 631321488 682267824 687012732 696481737 709341944 712457648 736541736 795979128 798009687 801514854 828609453 895476519 916016976 928642316 946982232 1023401736 1064012916 1068686472 1104812604 1193968692 1202272281 1241348402 1374025464 1392963474 1418683888 1473083472 1591958256 1596019374 1603029708 1657218906 1790953038 1857284632 1862022603 1893964464 2046803472 2089445211 2128025832 2137372944 2209625208 2387937384 2394029061 2404544562 2482696804 2748050928 2785926948 3192038748 3206059416 3314437812 3581906076 3714569264 3724045206 4178890422 4256051664 4344719407 4419250416 4775874768 4788058122 4809089124 4965393608 5571853896 5586067809 6268335633 6384077496 6412118832 6628875624 7163812152 7448090412 8357780844 8689438814 9576116244 9618178248 9930787216 11143707792 11172135618 12536671266 12768154992 13034158221 13257751248 14327624304 14896180824 16715561688 16758203427 17378877628 19152232488 19236356496 22344271236 25073342532 26068316442 29792361648 30413035849 33431123376 33516406854 34757755256 38304464976 39102474663 44688542472 50146685064 52136632884 60826071698 67032813708 69515510512 78204949326 89377084944 91239107547 100293370128 104273265768 117307423989 121652143396 134065627416 156409898652 182478215094 208546531536 234614847978 243304286792 268131254832 273717322641 312819797304 364956430188 469229695956 486608573584 547434645282 625639594608 729912860376 821151967923 938459391912 1094869290564 1459825720752 1642303935846 1876918783824 2189738581128 3284607871692 4379477162256 6569215743384 13138431486768
- Sum of all divisors σ(n): 44424585216000
- Sum of proper divisors (its aliquot sum) s(n): 31286153729232
- 13138431486768 is an abundant number, because the sum of its proper divisors (31286153729232) is greater than itself. Its abundance is 18147722242464
Bases of 13138431486768
- Binary: 101111110011000001111000101010101011001100002
- Hexadecimal: 0xBF3078AAB30
- Base-36: 4NNPMVSC0
Squares and roots of 13138431486768
- 13138431486768 squared (131384314867682) is 172618381932496798959085824
- 13138431486768 cubed (131384314867683) is 2267934784376860387362422757418432376832
-
The
square root of 13138431486768 is 3624697.4338236839 -
The
cube root of 13138431486768 is 23596.5135893853
Scales and comparisons
How big is 13138431486768?- 13,138,431,486,768 seconds is equal to 417,761 years, 25 weeks, 5 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,138,431,486,768 would take you about one million, forty-four thousand, four hundred three 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 13138431486768 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138431486768
- 13138431486768 backwards is 86768413483131
- 13138431486768 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13138431486768's digits is 63
- More coming soon!
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The information we have on file for 13138431486768 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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