13734649640448
13,734,649,640,448 is an even composite number composed of five prime numbers multiplied together.
What does the number 13734649640448 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1260 divisors.
13734649640448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 13734649640448:
29 × 36 × 11 × 312 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 31 × 31 × 59 × 59)See below for interesting mathematical facts about the number 13734649640448 from the Numbermatics database.
Names of 13734649640448
- Cardinal: 13734649640448 can be written as Thirteen trillion, seven hundred thirty-four billion, six hundred forty-nine million, six hundred forty thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.3734649640448 × 1013
Factors of 13734649640448
Divisors of 13734649640448
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 59 62 64 66 72 81 88 93 96 99 108 118 124 128 132 144 162 176 177 186 192 198 216 236 243 248 256 264 279 288 297 324 341 352 354 372 384 396 432 472 486 496 512 528 531 558 576 594 648 649 682 704 708 729 744 768 792 837 864 891 944 961 972 992 1023 1056 1062 1116 1152 1188 1296 1298 1364 1408 1416 1458 1488 1536 1584 1593 1674 1728 1782 1829 1888 1922 1944 1947 1984 2046 2112 2124 2232 2304 2376 2511 2592 2596 2673 2728 2816 2832 2883 2916 2976 3069 3168 3186 3348 3456 3481 3564 3658 3776 3844 3888 3894 3968 4092 4224 4248 4464 4608 4752 4779 5022 5184 5192 5346 5456 5487 5632 5664 5766 5832 5841 5952 6138 6336 6372 6696 6912 6962 7128 7316 7533 7552 7688 7776 7788 7936 8019 8184 8448 8496 8649 8928 9207 9504 9558 10044 10368 10384 10443 10571 10692 10912 10974 11328 11532 11664 11682 11904 12276 12672 12744 13392 13824 13924 14256 14337 14632 15066 15104 15376 15552 15576 15872 16038 16368 16461 16896 16992 17298 17523 17856 18414 19008 19116 20088 20119 20736 20768 20886 21142 21384 21824 21948 22599 22656 23064 23328 23364 23808 24552 25344 25488 25947 26784 27621 27848 28512 28674 29264 30132 30208 30752 31104 31152 31329 31713 32076 32736 32922 33984 34596 35046 35712 36828 38016 38232 38291 40176 40238 41472 41536 41772 42284 42768 43011 43648 43896 45198 45312 46128 46656 46728 47616 49104 49383 50688 50976 51894 52569 53568 55242 55696 56699 57024 57348 58528 60264 60357 61504 62208 62304 62658 63426 64152 65472 65844 67968 69192 70092 71424 73656 76032 76464 76582 77841 80352 80476 82863 83072 83544 84568 85536 86022 87296 87792 90396 90624 92256 93312 93456 93987 95139 98208 98766 101952 103788 105138 107136 107911 110484 111392 113398 114048 114696 114873 117056 120528 120714 123008 124416 124608 125316 126852 128304 130944 131688 135936 138384 140184 142848 147312 148149 152064 152928 153164 155682 157707 160704 160952 165726 166144 167088 169136 170097 171072 172044 174592 175584 180792 181071 184512 186624 186912 187974 190278 196416 197532 203904 207576 210276 214272 215822 220968 222784 226796 228096 229392 229746 233523 234112 241056 241428 246016 248589 249216 250632 253704 256608 261888 263376 271872 276768 280368 281961 285417 294624 296298 305856 306328 311364 315414 321408 321904 323733 331452 332288 334176 338272 340194 342144 344088 344619 351168 361584 362142 369024 373248 373824 375948 380556 392832 395064 407808 415152 420552 428544 431644 441936 444447 445568 453592 456192 458784 459492 467046 468224 473121 482112 482856 492032 497178 498432 501264 507408 510291 513216 523776 526752 543213 553536 560736 563922 570834 589248 592596 611712 612656 622728 623689 630828 642816 643808 647466 662904 668352 676544 680388 684288 688176 689238 700569 702336 723168 724284 738048 747648 751896 761112 785664 790128 815616 830304 841104 845883 856251 863288 883872 888894 891136 907184 917568 918984 934092 936448 946242 964224 965712 971199 994356 996864 1002528 1014816 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1299276288 1315201536 1322674272 1324715436 1367448192 1436979456 1445144112 1491761664 1538379216 1588004352 1616601888 1625787126 1678231872 1712763392 1730676618 1763565696 1766287248 1786504896 1818677124 1823264256 1877344128 1926858816 1972802304 1987073154 2051172288 2155469184 2167716168 2237642496 2307568824 2351420928 2355049664 2382006528 2424902832 2438680689 2503125504 2517347808 2569145088 2645348544 2649430872 2734896384 2873958912 2890288224 2980609731 3076758432 3233203776 3251574252 3356463744 3461353236 3527131392 3532574496 3573009792 3637354248 3754688256 3853717632 3945604608 3974146308 4102344576 4310938368 4335432336 4475284992 4615137648 4710099328 4764013056 4849805664 4877361378 5034695616 5138290176 5290697088 5298861744 5469792768 5780576448 5961219462 6153516864 6466407552 6503148504 6712927488 6922706472 7054262784 7065148992 7146019584 7274708496 7509376512 7707435264 7948292616 8204689152 8621876736 8670864672 8941829193 9230275296 9420198656 9699611328 9754722756 10069391232 10581394176 10597723488 11561152896 11922438924 12307033728 12932815104 13006297008 13425854976 13845412944 14130297984 14292039168 14549416992 15414870528 15896585232 16409378304 17341729344 17883658386 18460550592 18840397312 19399222656 19509445512 20138782464 21162788352 21195446976 23122305792 23844877848 24614067456 25865630208 26012594016 26825487579 27690825888 28260595968 29098833984 31793170464 34683458688 35767316772 36921101184 38798445312 39018891024 40277564928 42390893952 46244611584 47689755696 49228134912 52025188032 53650975158 55381651776 56521191936 58197667968 63586340928 69366917376 71534633544 73842202368 77596890624 78037782048 84781787904 95379511392 104050376064 107301950316 110763303552 116395335936 127172681856 138733834752 143069267088 147684404736 156075564096 169563575808 190759022784 208100752128 214603900632 221526607104 232790671872 254345363712 286138534176 312151128192 381518045568 416201504256 429207801264 443053214208 508690727424 572277068352 624302256384 763036091136 858415602528 1144554136704 1248604512768 1526072182272 1716831205056 2289108273408 3433662410112 4578216546816 6867324820224 13734649640448
- Sum of all divisors σ(n): 47179378651284
- Sum of proper divisors (its aliquot sum) s(n): 33444729010836
- 13734649640448 is an abundant number, because the sum of its proper divisors (33444729010836) is greater than itself. Its abundance is 19710079370388
Bases of 13734649640448
- Binary: 110001111101110110001110100110110110000000002
- Hexadecimal: 0xC7DD8E9B600
- Base-36: 4V9LZS000
Squares and roots of 13734649640448
- 13734649640448 squared (137346496404482) is 188640600745858375677640704
- 13734649640448 cubed (137346496404483) is 2590912559207998460126037203546529595392
-
The
square root of 13734649640448 is 3706028.8234777667 -
The
cube root of 13734649640448 is 23948.1808120143
Scales and comparisons
How big is 13734649640448?- 13,734,649,640,448 seconds is equal to 436,719 years, 19 weeks, 3 days, 7 hours, 40 minutes, 48 seconds.
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To count from 1 to 13,734,649,640,448 would take you about one million, ninety-one thousand, seven hundred ninety-eight 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 13734649640448 cubic inches would be around 1995.7 feet tall.
Recreational maths with 13734649640448
- 13734649640448 backwards is 84404694643731
- The number of decimal digits it has is: 14
- The sum of 13734649640448's digits is 63
- More coming soon!
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The information we have on file for 13734649640448 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 13734649640448, math, Factors of 13734649640448, curriculum, school, college, exams, university, Prime factorization of 13734649640448, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, seven hundred thirty-four billion, six hundred forty-nine million, six hundred forty thousand, four hundred forty-eight.