13038774106974
13,038,774,106,974 is an even composite number composed of eight prime numbers multiplied together.
13038774106974 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13038774106974:
2 × 3 × 7 × 112 × 31 × 79 × 139 × 7537
(2 × 3 × 7 × 11 × 11 × 31 × 79 × 139 × 7537)See below for interesting mathematical facts about the number 13038774106974 from the Numbermatics database.
Names of 13038774106974
- Cardinal: 13038774106974 can be written as Thirteen trillion, thirty-eight billion, seven hundred seventy-four million, one hundred six thousand, nine hundred seventy-four.
Scientific notation
- Scientific notation: 1.3038774106974 × 1013
Factors of 13038774106974
Divisors of 13038774106974
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 79 93 121 139 154 158 186 217 231 237 242 278 341 363 417 434 462 474 553 651 682 726 834 847 869 973 1023 1106 1302 1529 1659 1694 1738 1946 2046 2387 2449 2541 2607 2919 3058 3318 3751 4309 4587 4774 4898 5082 5214 5838 6083 7161 7347 7502 7537 8618 9174 9559 10703 10981 11253 12166 12927 14322 14694 15074 16819 17143 18249 19118 21406 21962 22506 22611 25854 26257 26939 28677 30163 32109 32943 33638 34286 36498 45222 47399 50457 51429 52514 52759 53878 57354 60326 64218 65886 66913 76867 78771 80817 82907 90489 94798 100914 102858 105518 117733 120791 133826 142197 153734 157542 158277 161634 165814 180978 188573 200739 230601 233647 235466 241582 248721 284394 296329 316554 331793 340411 353199 362373 377146 401478 461202 467294 497442 521389 565719 580349 592658 595423 663586 680822 700941 706398 724746 845537 888987 911977 995379 1021233 1042778 1047643 1131438 1160698 1190846 1328701 1401882 1564167 1635529 1691074 1741047 1777974 1786269 1823954 1990758 2042466 2074303 2095286 2382877 2536611 2570117 2657402 2735931 3128334 3142929 3271058 3482094 3572538 3649723 3744521 3986103 4148606 4167961 4765754 4906587 5073222 5140234 5471862 6222909 6285858 6383839 6549653 7148631 7299446 7333501 7489042 7710351 7972206 8335922 9300907 9813174 10949169 11233563 11524073 12445818 12503883 12767678 13099306 14297262 14667002 15420702 17990819 18458113 18601814 19151517 19648959 21898338 22000503 22467126 23048146 25007766 26211647 27902721 28271287 32476933 34572219 35981638 36916226 38303034 39297918 41189731 44001006 45847571 52423294 53972457 55374339 55805442 56542574 64953866 69144438 72046183 78634941 80668511 82379462 82763797 84813861 91695142 97430799 107944914 110748678 123569193 126764803 129206791 137542713 144092366 157269882 161337022 165527594 169627722 194861598 197899009 203039243 216138549 227338531 242005533 247138386 248291391 253529606 258413582 275085426 288328117 357246263 380294409 387620373 395798018 406078486 432277098 454677062 484011066 496582782 504323281 576656234 579346579 593697027 609117729 682015593 714492526 760588818 775240746 864984351 887353621 910401767 1008646562 1071738789 1158693158 1187394054 1218235458 1364031186 1421274701 1512969843 1729968702 1738039737 1774707242 1820803534 2143477578 2233431673 2500723841 2565677707 2662060863 2731205301 2842549402 3025939686 3476079474 3929708893 4263824103 4466863346 5001447682 5131355414 5324121726 5462410602 6372812369 6700295019 7502171523 7697033121 7859417786 8527648206 10014419437 11789126679 12745624738 13400590038 15004343046 15394066242 15634021711 17959743949 19118437107 20028838874 23578253358 27507962251 28222454777 30043258311 31268043422 35919487898 38236874214 46902065133 53879231847 55015924502 56444909554 60086516622 70100936059 82523886753 84667364331 93804130266 107758463694 140201872118 165047773506 169334728662 197557183439 210302808177 310447002547 395114366878 420605616354 592671550317 620894005094 931341007641 1185343100634 1862682015282 2173129017829 4346258035658 6519387053487 13038774106974
- Sum of all divisors σ(n): 34494273945600
- Sum of proper divisors (its aliquot sum) s(n): 21455499838626
- 13038774106974 is an abundant number, because the sum of its proper divisors (21455499838626) is greater than itself. Its abundance is 8416725731652
Bases of 13038774106974
- Binary: 101111011011110100110111111110111011010111102
- Hexadecimal: 0xBDBD37FBB5E
- Base-36: 4MDXHG9Y6
Squares and roots of 13038774106974
- 13038774106974 squared (130387741069742) is 170009630212695631195436676
- 13038774106974 cubed (130387741069743) is 2216717164353520448317551101175866978424
-
The
square root of 13038774106974 is 3610924.2732261777 -
The
cube root of 13038774106974 is 23536.7008284339
Scales and comparisons
How big is 13038774106974?- 13,038,774,106,974 seconds is equal to 414,592 years, 35 weeks, 4 days, 8 hours, 22 minutes, 54 seconds.
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To count from 1 to 13,038,774,106,974 would take you about one million, thirty-six thousand, four hundred eighty-one 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 13038774106974 cubic inches would be around 1961.4 feet tall.
Recreational maths with 13038774106974
- 13038774106974 backwards is 47960147783031
- The number of decimal digits it has is: 14
- The sum of 13038774106974's digits is 60
- More coming soon!
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