13381735034809344
13,381,735,034,809,344 is an even composite number composed of six prime numbers multiplied together.
What does the number 13381735034809344 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1584 divisors.
13381735034809344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13381735034809344:
210 × 3 × 73 × 312 × 79 × 4092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 31 × 31 × 79 × 409 × 409)See below for interesting mathematical facts about the number 13381735034809344 from the Numbermatics database.
Names of 13381735034809344
- Cardinal: 13381735034809344 can be written as Thirteen quadrillion, three hundred eighty-one trillion, seven hundred thirty-five billion, thirty-four million, eight hundred nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.3381735034809344 × 1016
Factors of 13381735034809344
Divisors of 13381735034809344
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 64 79 84 93 96 98 112 124 128 147 158 168 186 192 196 217 224 237 248 256 294 316 336 343 372 384 392 409 434 448 474 496 512 553 588 632 651 672 686 744 768 784 818 868 896 948 961 992 1024 1029 1106 1176 1227 1264 1302 1344 1372 1488 1519 1536 1568 1636 1659 1736 1792 1896 1922 1984 2058 2212 2352 2449 2454 2528 2604 2688 2744 2863 2883 2976 3038 3072 3136 3272 3318 3472 3584 3792 3844 3871 3968 4116 4424 4557 4704 4898 4908 5056 5208 5376 5488 5726 5766 5952 6076 6272 6544 6636 6727 6944 7168 7347 7584 7688 7742 7936 8232 8589 8848 9114 9408 9796 9816 10112 10416 10633 10752 10976 11452 11532 11613 11904 12152 12544 12679 13088 13272 13454 13888 14694 15168 15376 15484 15872 16464 17143 17178 17696 18228 18816 19592 19632 20041 20181 20224 20832 21266 21504 21952 22904 23064 23226 23808 24304 25088 25358 26176 26544 26908 27097 27776 29388 30336 30752 30968 31744 31899 32311 32928 34286 34356 35392 36456 37632 38037 39184 39264 40082 40362 40448 41664 42532 43904 45808 46128 46452 47089 47616 48608 50176 50716 51429 52352 53088 53816 54194 55552 58776 60123 60672 61504 61936 63798 64622 65856 68572 68712 70784 72912 75264 75919 76074 78368 78528 80164 80724 80896 81291 83328 85064 87808 88753 91616 92256 92904 94178 95232 96933 97216 101432 102858 104704 106176 107632 108388 111104 117552 120001 120246 121344 123008 123872 127596 129244 131712 137144 137424 140287 141267 141568 145824 150528 151838 152148 156736 157056 160328 161448 162582 166656 167281 170128 175616 177506 183232 184512 185808 188356 193866 194432 202864 205716 209408 212352 215264 216776 222208 226177 227757 235104 240002 240492 242688 246016 247744 255192 258488 263424 266259 274288 274848 280574 282534 283136 291648 303676 304296 313472 314112 320656 322896 325164 329623 333312 334562 340256 351232 355012 360003 366464 369024 371616 376712 387732 388864 393049 405728 411432 418816 420861 424704 430528 433552 452354 455514 470208 480004 480984 492032 495488 501843 510384 516976 526848 531433 532518 548576 549696 561148 565068 566272 583296 607352 608592 621271 626944 628224 641312 645792 650328 659246 666624 669124 678531 680512 710024 720006 732928 738048 743232 753424 775464 777728 786098 811456 822864 840007 841722 849408 861056 867104 904708 911028 940416 960008 961968 984064 988869 990976 1001641 1003686 1020768 1033952 1053696 1062866 1065036 1097152 1099392 1122296 1130136 1166592 1170967 1179147 1214704 1217184 1242542 1253888 1256448 1282624 1291584 1300656 1318492 1338248 1357062 1361024 1420048 1440012 1465856 1476096 1486464 1506848 1550928 1555456 1572196 1583239 1594299 1622912 1645728 1680014 1683444 1698816 1722112 1734208 1809416 1822056 1863813 1880832 1920016 1923936 1977738 1981952 2003282 2007372 2041536 2067904 2125732 2130072 2194304 2198784 2244592 2260272 2333184 2341934 2358294 2429408 2434368 2485084 2507776 2520021 2565248 2583168 2601312 2636984 2676496 2714124 2722048 2751343 2840096 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9753451191552 9956648091376 10277830287872 10586815692096 10906059523072 11379026390144 12099217933824 13004601588736 13068100619931 13489652252832 13924802325504 14115754256128 14934972137064 15416745431808 16359089284608 17068539585216 17424134159908 17986203003776 19506902383104 19913296182752 20555660575744 21173631384192 22758052780288 24198435867648 26136201239862 26979304505664 28231508512256 29869944274128 30833490863616 32718178569216 34137079170432 34848268319816 35972406007552 39013804766208 39826592365504 42347262768384 45516105560576 52272402479724 53958609011328 56463017024512 59739888548256 61666981727232 68274158340864 69696536639632 71944812015104 79653184731008 84694525536768 91032211121152 104544804959448 107917218022656 119479777096512 136548316681728 139393073279264 143889624030208 159306369462016 169389051073536 209089609918896 215834436045312 238959554193024 273096633363456 278786146558528 318612738924032 418179219837792 431668872090624 477919108386048 557572293117056 637225477848064 836358439675584 955838216772096 1115144586234112 1672716879351168 1911676433544192 2230289172468224 3345433758702336 4460578344936448 6690867517404672 13381735034809344
- Sum of all divisors σ(n): 43630160980608000
- Sum of proper divisors (its aliquot sum) s(n): 30248425945798656
- 13381735034809344 is an abundant number, because the sum of its proper divisors (30248425945798656) is greater than itself. Its abundance is 16866690910989312
Bases of 13381735034809344
- Binary: 1011111000101010011101111110110011101001101100000000002
- Hexadecimal: 0x2F8A9DFB3A6C00
- Base-36: 3NRFG7HKD1C
Squares and roots of 13381735034809344
- 13381735034809344 squared (133817350348093442) is 179070832541843835075370429710336
- 13381735034809344 cubed (133817350348093443) is 2396278433537668822677748566637678328174906179584
-
The
square root of 13381735034809344 is 115679449.4921606377 -
The
cube root of 13381735034809344 is 237412.8066101281
Scales and comparisons
How big is 13381735034809344?- 13,381,735,034,809,344 seconds is equal to 425,497,781 years, 35 weeks, 3 days, 12 hours, 22 minutes, 24 seconds.
-
To count from 1 to 13,381,735,034,809,344 would take you about one billion, two hundred seventy-six million, four hundred ninety-three thousand, three hundred forty-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 13381735034809344 cubic inches would be around 19784.4 feet tall.
Recreational maths with 13381735034809344
- 13381735034809344 backwards is 44390843053718331
- The number of decimal digits it has is: 17
- The sum of 13381735034809344's digits is 66
- More coming soon!
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"Number 13381735034809344 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13381735034809344 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13381735034809344/
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The information we have on file for 13381735034809344 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!
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