13768048224
13,768,048,224 is an even composite number composed of five prime numbers multiplied together.
What does the number 13768048224 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 360 divisors.
13768048224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 13768048224:
25 × 34 × 72 × 43 × 2521
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 43 × 2521)See below for interesting mathematical facts about the number 13768048224 from the Numbermatics database.
Names of 13768048224
- Cardinal: 13768048224 can be written as Thirteen billion, seven hundred sixty-eight million, forty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.3768048224 × 1010
Factors of 13768048224
Divisors of 13768048224
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 63 72 81 84 86 96 98 108 112 126 129 144 147 162 168 172 189 196 216 224 252 258 288 294 301 324 336 344 378 387 392 432 441 504 516 567 588 602 648 672 688 756 774 784 864 882 903 1008 1032 1134 1161 1176 1204 1296 1323 1376 1512 1548 1568 1764 1806 2016 2064 2107 2268 2322 2352 2408 2521 2592 2646 2709 3024 3096 3483 3528 3612 3969 4128 4214 4536 4644 4704 4816 5042 5292 5418 6048 6192 6321 6966 7056 7224 7563 7938 8127 8428 9072 9288 9632 10084 10584 10836 12384 12642 13932 14112 14448 15126 15876 16254 16856 17647 18144 18576 18963 20168 21168 21672 22689 24381 25284 27864 28896 30252 31752 32508 33712 35294 37152 37926 40336 42336 43344 45378 48762 50568 52941 55728 56889 60504 63504 65016 67424 68067 70588 75852 80672 86688 90756 97524 101136 105882 108403 111456 113778 121008 123529 127008 130032 136134 141176 151704 158823 170667 181512 195048 202272 204201 211764 216806 227556 242016 247058 260064 272268 282352 303408 317646 325209 341334 363024 370587 390096 408402 423528 433612 455112 476469 494116 544536 564704 606816 635292 650418 682668 726048 741174 758821 780192 816804 847056 867224 910224 952938 975627 988232 1089072 1111761 1270584 1300836 1365336 1429407 1482348 1517642 1633608 1694112 1734448 1820448 1905876 1951254 1976464 2178144 2223522 2276463 2541168 2601672 2730672 2858814 2926881 2964696 3035284 3267216 3335283 3468896 3811752 3902508 3952928 4447044 4552926 5082336 5203344 5311747 5461344 5717628 5853762 5929392 6070568 6534432 6670566 6829389 7623504 7805016 8780643 8894088 9105852 10005849 10406688 10623494 11435256 11707524 11858784 12141136 13341132 13658778 15247008 15610032 15935241 17561286 17788176 18211704 20011698 20488167 21246988 22870512 23415048 24282272 26682264 27317556 31220064 31870482 35122572 35576352 36423408 40023396 40976334 42493976 45741024 46830096 47805723 53364528 54635112 61464501 63740964 70245144 72846816 80046792 81952668 84987952 93660192 95611446 106729056 109270224 122929002 127481928 140490288 143417169 160093584 163905336 169975904 191222892 218540448 245858004 254963856 280980576 286834338 320187168 327810672 382445784 430251507 491716008 509927712 573668676 655621344 764891568 860503014 983432016 1147337352 1529783136 1721006028 1966864032 2294674704 3442012056 4589349408 6884024112 13768048224
- Sum of all divisors σ(n): 48216816648
- Sum of proper divisors (its aliquot sum) s(n): 34448768424
- 13768048224 is an abundant number, because the sum of its proper divisors (34448768424) is greater than itself. Its abundance is 20680720200
Bases of 13768048224
- Binary: 11001101001010001110111110011000002
- Hexadecimal: 0x334A3BE60
- Base-36: 6BP5200
Squares and roots of 13768048224
- 13768048224 squared (137680482242) is 189559151898389554176
- 13768048224 cubed (137680482243) is 2609859544637568529833028583424
-
The
square root of 13768048224 is 117337.3266441673 -
The
cube root of 13768048224 is 2396.7576716835
Scales and comparisons
How big is 13768048224?- 13,768,048,224 seconds is equal to 437 years, 40 weeks, 4 days, 9 hours, 50 minutes, 24 seconds.
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To count from 1 to 13,768,048,224 would take you about eight hundred seventy-five 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 13768048224 cubic inches would be around 199.7 feet tall.
Recreational maths with 13768048224
- 13768048224 backwards is 42284086731
- The number of decimal digits it has is: 11
- The sum of 13768048224's digits is 45
- More coming soon!
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