12137683274496
12,137,683,274,496 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12137683274496 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
12137683274496 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 12137683274496:
28 × 32 × 13 × 172 × 61 × 127 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 17 × 61 × 127 × 181)See below for interesting mathematical facts about the number 12137683274496 from the Numbermatics database.
Names of 12137683274496
- Cardinal: 12137683274496 can be written as Twelve trillion, one hundred thirty-seven billion, six hundred eighty-three million, two hundred seventy-four thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.2137683274496 × 1013
Factors of 12137683274496
Divisors of 12137683274496
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 61 64 68 72 78 96 102 104 117 122 127 128 136 144 153 156 181 183 192 204 208 221 234 244 254 256 272 288 289 306 312 362 366 381 384 408 416 442 468 488 508 543 544 549 576 578 612 624 663 724 732 762 768 793 816 832 867 884 936 976 1016 1037 1086 1088 1098 1143 1152 1156 1224 1248 1326 1448 1464 1524 1586 1629 1632 1651 1664 1734 1768 1872 1952 1989 2032 2074 2159 2172 2176 2196 2286 2304 2312 2353 2379 2448 2496 2601 2652 2896 2928 3048 3077 3111 3172 3258 3264 3302 3328 3468 3536 3744 3757 3904 3978 4064 4148 4318 4344 4352 4392 4572 4624 4706 4758 4896 4953 4992 5202 5304 5792 5856 6096 6154 6222 6344 6477 6516 6528 6604 6936 7059 7072 7137 7488 7514 7747 7808 7956 8128 8296 8636 8688 8784 9144 9231 9248 9333 9412 9516 9792 9906 9984 10404 10608 11041 11271 11584 11712 12192 12308 12444 12688 12954 13032 13056 13208 13481 13872 14118 14144 14274 14859 14976 15028 15494 15616 15912 16256 16592 17272 17376 17568 17629 18288 18462 18496 18666 18824 19032 19431 19584 19812 20808 21177 21216 22082 22542 22987 23168 23241 23424 24384 24616 24888 25376 25908 26064 26416 26962 27693 27744 28067 28236 28288 28548 29718 29952 30056 30988 31824 32512 33123 33184 33813 34544 34752 35136 35258 36576 36703 36924 36992 37332 37648 38064 38862 39168 39624 40001 40443 41616 42354 42432 44164 45084 45974 46336 46482 46848 48768 49232 49776 50752 51816 52128 52309 52832 52887 53924 55386 55488 56134 56472 56576 57096 59436 60112 61976 63648 66246 66368 67626 68961 69088 69504 69723 70272 70516 73152 73406 73848 73984 74664 75296 76128 77724 79248 80002 80886 83232 84201 84708 84864 88328 90168 91948 92964 97536 98464 99369 99552 100711 101504 103632 104256 104618 105664 105774 107848 110109 110772 110976 112268 112944 114192 118872 120003 120224 121329 123952 127296 131699 132492 132736 135252 137922 138176 139008 139446 140544 141032 143533 146304 146812 147696 149328 150592 152256 155448 156927 158496 158661 160004 161772 166464 168402 169416 169728 176656 180336 183896 185928 187697 196928 198738 199104 201422 203008 206883 207264 208512 209236 211328 211548 215696 220218 221544 221952 224536 225888 228384 229177 237744 240006 240448 242658 247904 252603 254592 263398 264984 265472 270504 275844 276352 278892 282064 287066 292608 293624 295392 298656 298831 301184 302133 304512 310896 313854 316992 317322 320008 323544 330327 332928 336804 338832 353312 360009 360672 367792 371856 375394 390779 393856 395097 397476 398208 402844 413766 414528 417024 418472 422656 423096 430599 431392 440436 443088 449072 451776 456768 458354 470781 475488 477139 480012 480896 485316 495808 505206 509184 526796 529968 541008 551688 552704 557784 563091 564128 574132 587248 590784 597312 597662 602368 604266 609024 621792 627708 633984 634644 640016 647088 660654 665856 673608 677664 680017 687531 706624 720018 721344 735584 743712 750788 781558 787712 790194 794952 796416 805688 827532 829056 836944 846192 861198 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4666544896 4862853876 4958203952 5102010624 5158386432 5249863008 5268091699 5309572736 5527178176 5577979446 5588251968 5621900544 5852306304 5973269328 6102404864 6218075448 6483805168 6865205472 6999817344 7294280814 7351716096 7437305928 7451002624 7653015936 7964359104 8290767264 8382377952 9153607296 9725707752 9916407904 10499726016 10536183398 10619145472 11054356352 11155958892 11176503936 11704612608 11946538656 12436150896 12967610336 13730410944 13999634688 14588561628 14874611856 15306031872 15804275097 15928718208 16581534528 16764755904 18307214592 19451415504 19832815808 20999452032 21072366796 22108712704 22311917784 22353007872 23893077312 24872301792 25935220672 27460821888 29177123256 29749223712 31608550194 31857436416 33163069056 33529511808 38902831008 39665631616 41998904064 42144733592 44623835568 47412825291 47786154624 49744603584 51870441344 54921643776 58354246512 59498447424 63217100388 66326138112 67059023616 77805662016 79331263232 84289467184 89247671136 94825650582 95572309248 99489207168 103740882688 116708493024 118996894848 126434200776 155611324032 168578934368 178495342272 189651301164 198978414336 233416986048 237993789696 252868401552 311222648064 337157868736 356990684544 379302602328 466833972096 505736803104 674315737472 713981369088 758605204656 933667944192 1011473606208 1348631474944 1517210409312 2022947212416 3034420818624 4045894424832 6068841637248 12137683274496
- Sum of all divisors σ(n): 41238580784128
- Sum of proper divisors (its aliquot sum) s(n): 29100897509632
- 12137683274496 is an abundant number, because the sum of its proper divisors (29100897509632) is greater than itself. Its abundance is 16963214235136
Bases of 12137683274496
- Binary: 101100001010000001100100110011001011000000002
- Hexadecimal: 0xB0A064CCB00
- Base-36: 4AVZ38HS0
Squares and roots of 12137683274496
- 12137683274496 squared (121376832744962) is 147323355271979940884054016
- 12137683274496 cubed (121376832744963) is 1788164225227343033546793253994219175936
-
The
square root of 12137683274496 is 3483917.8053587889 -
The
cube root of 12137683274496 is 22981.5120960533
Scales and comparisons
How big is 12137683274496?- 12,137,683,274,496 seconds is equal to 385,940 years, 40 weeks, 5 days, 7 hours, 21 minutes, 36 seconds.
-
To count from 1 to 12,137,683,274,496 would take you about nine hundred sixty-four thousand, eight hundred fifty-one 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 12137683274496 cubic inches would be around 1915.1 feet tall.
Recreational maths with 12137683274496
- 12137683274496 backwards is 69447238673121
- The number of decimal digits it has is: 14
- The sum of 12137683274496's digits is 63
- More coming soon!
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The information we have on file for 12137683274496 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 12137683274496, math, Factors of 12137683274496, curriculum, school, college, exams, university, Prime factorization of 12137683274496, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, one hundred thirty-seven billion, six hundred eighty-three million, two hundred seventy-four thousand, four hundred ninety-six.