13313144638144512
13,313,144,638,144,512 is an even composite number composed of five prime numbers multiplied together.
What does the number 13313144638144512 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1350 divisors.
13313144638144512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 13313144638144512:
224 × 32 × 72 × 73 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 73 × 157 × 157)See below for interesting mathematical facts about the number 13313144638144512 from the Numbermatics database.
Names of 13313144638144512
- Cardinal: 13313144638144512 can be written as Thirteen quadrillion, three hundred thirteen trillion, one hundred forty-four billion, six hundred thirty-eight million, one hundred forty-four thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.3313144638144512 × 1016
Factors of 13313144638144512
Divisors of 13313144638144512
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 73 84 96 98 112 126 128 144 146 147 157 168 192 196 219 224 252 256 288 292 294 314 336 384 392 438 441 448 471 504 511 512 576 584 588 628 657 672 768 784 876 882 896 942 1008 1022 1024 1099 1152 1168 1176 1256 1314 1344 1413 1533 1536 1568 1752 1764 1792 1884 2016 2044 2048 2198 2304 2336 2352 2512 2628 2688 2826 3066 3072 3136 3297 3504 3528 3577 3584 3768 4032 4088 4096 4396 4599 4608 4672 4704 5024 5256 5376 5652 6132 6144 6272 6594 7008 7056 7154 7168 7536 7693 8064 8176 8192 8792 9198 9216 9344 9408 9891 10048 10512 10731 10752 11304 11461 12264 12288 12544 13188 14016 14112 14308 14336 15072 15386 16128 16352 16384 17584 18396 18432 18688 18816 19782 20096 21024 21462 21504 22608 22922 23079 24528 24576 24649 25088 26376 28032 28224 28616 28672 30144 30772 32193 32256 32704 32768 34383 35168 36792 36864 37376 37632 39564 40192 42048 42924 43008 45216 45844 46158 49056 49152 49298 50176 52752 56064 56448 57232 57344 60288 61544 64386 64512 65408 65536 68766 69237 70336 73584 73728 73947 74752 75264 79128 80227 80384 84096 85848 86016 90432 91688 92316 98112 98304 98596 100352 103149 105504 112128 112896 114464 114688 120576 123088 128772 129024 130816 131072 137532 138474 140672 147168 147456 147894 149504 150528 158256 160454 160768 168192 171696 172032 172543 180864 183376 184632 196224 196608 197192 200704 206298 211008 221841 224256 225792 228928 229376 240681 241152 246176 257544 258048 261632 262144 275064 276948 281344 294336 294912 295788 299008 301056 316512 320908 321536 336384 343392 344064 345086 361728 366752 369264 392448 393216 394384 401408 412596 422016 443682 448512 451584 457856 458752 481362 482304 492352 515088 516096 517629 523264 524288 550128 553896 561589 562688 588672 589824 591576 598016 602112 633024 641816 643072 672768 686784 688128 690172 722043 723456 733504 738528 784896 786432 788768 802816 825192 844032 887364 897024 903168 915712 917504 962724 964608 984704 1030176 1032192 1035258 1046528 1048576 1100256 1107792 1123178 1125376 1177344 1179648 1183152 1196032 1204224 1207801 1266048 1283632 1286144 1345536 1373568 1376256 1380344 1444086 1446912 1467008 1477056 1552887 1569792 1572864 1577536 1605632 1650384 1684767 1688064 1774728 1794048 1799377 1806336 1831424 1835008 1925448 1929216 1969408 2060352 2064384 2070516 2093056 2097152 2200512 2215584 2246356 2250752 2354688 2359296 2366304 2392064 2408448 2415602 2532096 2567264 2572288 2691072 2747136 2752512 2760688 2888172 2893824 2934016 2954112 3105774 3139584 3145728 3155072 3211264 3300768 3369534 3376128 3549456 3588096 3598754 3612672 3623403 3662848 3670016 3850896 3858432 3938816 4120704 4128768 4141032 4186112 4194304 4401024 4431168 4492712 4501504 4709376 4718592 4732608 4784128 4816896 4831204 5054301 5064192 5134528 5144576 5382144 5398131 5494272 5505024 5521376 5776344 5787648 5868032 5908224 6211548 6279168 6291456 6310144 6422528 6601536 6739068 6752256 7098912 7176192 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20263538262016 21199274901504 22641402445824 22796480544768 23113098330112 26002235621376 26053120622592 26414969520128 28265699868672 29716840710144 30188536594432 30395307393024 33962103668736 34669647495168 39622454280192 42398549803008 45282804891648 45592961089536 46226196660224 52004471242752 52829939040256 59433681420288 60790614786048 67924207337472 69339294990336 79244908560384 84797099606016 90565609783296 91185922179072 92452393320448 104008942485504 105659878080512 118867362840576 135848414674944 138678589980672 158489817120768 182371844358144 184904786640896 208017884971008 211319756161024 237734725681152 271696829349888 277357179961344 316979634241536 369809573281792 416035769942016 475469451362304 554714359922688 633959268483072 739619146563584 832071539884032 950938902724608 1109428719845376 1479238293127168 1664143079768064 1901877805449216 2218857439690752 3328286159536128 4437714879381504 6656572319072256 13313144638144512
- Sum of all divisors σ(n): 45642986468145378
- Sum of proper divisors (its aliquot sum) s(n): 32329841830000866
- 13313144638144512 is an abundant number, because the sum of its proper divisors (32329841830000866) is greater than itself. Its abundance is 19016697191856354
Bases of 13313144638144512
- Binary: 1011110100110000111100000010010000000000000000000000002
- Hexadecimal: 0x2F4C3C09000000
- Base-36: 3N3467QCCG0
Squares and roots of 13313144638144512
- 13313144638144512 squared (133131446381445122) is 177239820156155969359874195718144
- 13313144638144512 cubed (133131446381445123) is 2359619361377625447065507852523705492683492425728
-
The
square root of 13313144638144512 is 115382601.1066855435 -
The
cube root of 13313144638144512 is 237006.4781184545
Scales and comparisons
How big is 13313144638144512?- 13,313,144,638,144,512 seconds is equal to 423,316,819 years, 12 weeks, 17 hours, 55 minutes, 12 seconds.
-
To count from 1 to 13,313,144,638,144,512 would take you about one billion, two hundred sixty-nine million, nine hundred fifty thousand, four hundred fifty-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 13313144638144512 cubic inches would be around 19750.5 feet tall.
Recreational maths with 13313144638144512
- 13313144638144512 backwards is 21544183644131331
- The number of decimal digits it has is: 17
- The sum of 13313144638144512's digits is 54
- More coming soon!
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"Number 13313144638144512 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 13313144638144512 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/13313144638144512/
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The information we have on file for 13313144638144512 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 13313144638144512, math, Factors of 13313144638144512, curriculum, school, college, exams, university, Prime factorization of 13313144638144512, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred thirteen trillion, one hundred forty-four billion, six hundred thirty-eight million, one hundred forty-four thousand, five hundred twelve.