13478131324944
13,478,131,324,944 is an even composite number composed of seven prime numbers multiplied together.
13478131324944 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 13478131324944:
24 × 37 × 11 × 13 × 29 × 293 × 317
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 29 × 293 × 317)See below for interesting mathematical facts about the number 13478131324944 from the Numbermatics database.
Names of 13478131324944
- Cardinal: 13478131324944 can be written as Thirteen trillion, four hundred seventy-eight billion, one hundred thirty-one million, three hundred twenty-four thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.3478131324944 × 1013
Factors of 13478131324944
Divisors of 13478131324944
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 29 33 36 39 44 48 52 54 58 66 72 78 81 87 88 99 104 108 116 117 132 143 144 156 162 174 176 198 208 216 232 234 243 261 264 286 293 297 312 317 319 324 348 351 377 396 429 432 464 468 486 522 528 572 586 594 624 634 638 648 696 702 729 754 783 792 858 879 891 936 951 957 972 1044 1053 1131 1144 1172 1188 1268 1276 1287 1296 1392 1404 1458 1508 1566 1584 1716 1758 1782 1872 1902 1914 1944 2088 2106 2187 2262 2288 2344 2349 2376 2536 2552 2574 2637 2673 2808 2853 2871 2916 3016 3132 3159 3223 3393 3432 3487 3516 3564 3804 3809 3828 3861 3888 4121 4147 4176 4212 4374 4524 4688 4698 4752 5072 5104 5148 5274 5346 5616 5706 5742 5832 6032 6264 6318 6446 6786 6864 6974 7032 7047 7128 7608 7618 7656 7722 7911 8019 8242 8294 8424 8497 8559 8613 8748 9048 9193 9396 9477 9669 10179 10296 10461 10548 10692 11412 11427 11484 11583 11664 12363 12441 12528 12636 12892 13572 13948 14064 14094 14256 15216 15236 15312 15444 15822 16038 16484 16588 16848 16994 17118 17226 17496 18096 18386 18792 18954 19338 20358 20592 20922 21096 21141 21384 22824 22854 22968 23166 23733 24057 24726 24882 25272 25491 25677 25784 25839 27144 27579 27896 28188 28431 29007 30472 30537 30888 31383 31644 32076 32968 33176 33988 34236 34281 34452 34749 34992 36772 37089 37323 37584 37908 38676 40716 41844 41899 42192 42282 42768 45331 45648 45708 45936 46332 47466 48114 49452 49764 50544 50982 51354 51568 51678 54288 55158 55792 56376 56862 58014 60944 61074 61776 62766 63288 63423 64152 65936 66352 67976 68472 68562 68904 69498 71199 73544 74178 74646 75816 76473 77031 77352 77517 81432 82737 83688 83798 84564 87021 90662 91416 91611 92664 92881 93467 94149 94932 96228 98904 99528 101123 101964 102708 102843 103356 104247 110316 110461 111267 111969 112752 113724 116028 119509 122148 125532 125697 126576 126846 128304 135952 135993 136944 137124 137808 138996 142398 147088 148356 149292 151632 152946 154062 154704 155034 162864 165474 167376 167596 169128 174042 181324 182832 183222 185328 185762 186934 188298 189864 192456 197808 199056 202246 203928 205416 205686 206712 208494 213597 220632 220922 222534 223938 227448 229419 231093 232056 232551 239018 244296 248211 251064 251394 253692 261063 271986 274248 274833 277992 278643 280401 282447 284796 296712 298584 303369 305892 308124 308529 310068 312741 330948 331383 333801 335192 335907 338256 348084 358527 362648 366444 371524 373868 376596 377091 379728 384912 404492 407856 407979 410832 411372 413424 416988 427194 441264 441844 445068 447876 454896 458838 462186 464112 465102 478036 488592 496422 502128 502788 507384 522126 543972 548496 549666 555984 557286 560802 564894 569592 593424 597168 606738 611784 616248 617058 620136 625482 640791 661896 662766 667602 670384 671814 688257 693279 696168 697653 717054 725296 732888 743048 744633 747736 753192 754182 783189 808984 815958 822744 824499 833976 835929 841203 847341 854388 883688 890136 895752 910107 917676 924372 925587 930204 956072 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7563485592 7666741368 7854388884 8508921291 8606724984 8937752868 9244260168 9599808636 9682565607 10399792689 10472518512 10562798844 10629441108 11345228388 11500112052 11781583326 11917003824 12799744848 12910087476 13866390252 14083731792 14172588144 14399712954 15126971184 15333482736 15708777768 17017842582 17213449968 17875505736 18488520336 19199617272 19365131214 20799585378 21125597688 21258882216 21599569431 22690456776 23000224104 23563166652 25526763873 25820174952 27732780504 28799425908 29047696821 31199378067 31417555536 34035685164 35751011472 38399234544 38730262428 41599170756 42251195376 42517764432 43199138862 45380913552 46000448208 47126333304 51053527746 51640349904 55465561008 57598851816 58095393642 62398756134 64798708293 68071370328 76580291619 77460524856 83198341512 86398277724 93598134201 94252666608 102107055492 115197703632 116190787284 124797512268 129597416586 136142740656 153160583238 154921049712 166396683024 172796555448 187196268402 204214110984 232381574568 249595024536 259194833172 280794402603 306321166476 345593110896 374392536804 408428221968 464763149136 499190049072 518389666344 561588805206 612642332952 748785073608 842383207809 1036779332688 1123177610412 1225284665904 1497570147216 1684766415618 2246355220824 3369532831236 4492710441648 6739065662472 13478131324944
- Sum of all divisors σ(n): 47911583462400
- Sum of proper divisors (its aliquot sum) s(n): 34433452137456
- 13478131324944 is an abundant number, because the sum of its proper divisors (34433452137456) is greater than itself. Its abundance is 20955320812512
Bases of 13478131324944
- Binary: 110001000010000111110011101011011000000100002
- Hexadecimal: 0xC421F3AD810
- Base-36: 4RZRNE900
Squares and roots of 13478131324944
- 13478131324944 squared (134781313249442) is 181660024012436704916603136
- 13478131324944 cubed (134781313249443) is 2448437660132102380771553784439505424384
-
The
square root of 13478131324944 is 3671257.4582755701 -
The
cube root of 13478131324944 is 23798.1516612659
Scales and comparisons
How big is 13478131324944?- 13,478,131,324,944 seconds is equal to 428,562 years, 46 weeks, 8 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,478,131,324,944 would take you about one million, seventy-one thousand, four hundred 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 13478131324944 cubic inches would be around 1983.2 feet tall.
Recreational maths with 13478131324944
- 13478131324944 backwards is 44942313187431
- 13478131324944 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13478131324944's digits is 54
- More coming soon!
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"Number 13478131324944 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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The information we have on file for 13478131324944 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!
Keywords: Divisors of 13478131324944, math, Factors of 13478131324944, curriculum, school, college, exams, university, Prime factorization of 13478131324944, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, four hundred seventy-eight billion, one hundred thirty-one million, three hundred twenty-four thousand, nine hundred forty-four.