3116438801249664
3,116,438,801,249,664 is an even composite number composed of nine prime numbers multiplied together.
What does the number 3116438801249664 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2048 divisors.
3116438801249664 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 3116438801249664:
27 × 3 × 11 × 23 × 41 × 61 × 89 × 211 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 23 × 41 × 61 × 89 × 211 × 683)See below for interesting mathematical facts about the number 3116438801249664 from the Numbermatics database.
Names of 3116438801249664
- Cardinal: 3116438801249664 can be written as Three quadrillion, one hundred sixteen trillion, four hundred thirty-eight billion, eight hundred one million, two hundred forty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.116438801249664 × 1015
Factors of 3116438801249664
Divisors of 3116438801249664
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 23 24 32 33 41 44 46 48 61 64 66 69 82 88 89 92 96 122 123 128 132 138 164 176 178 183 184 192 211 244 246 253 264 267 276 328 352 356 366 368 384 422 451 488 492 506 528 534 552 633 656 671 683 704 712 732 736 759 844 902 943 976 979 984 1012 1056 1068 1104 1266 1312 1342 1353 1366 1403 1408 1424 1464 1472 1518 1688 1804 1886 1952 1958 1968 2013 2024 2047 2049 2112 2136 2208 2321 2501 2532 2624 2684 2706 2732 2806 2829 2848 2928 2937 2944 3036 3376 3608 3649 3772 3904 3916 3936 4026 4048 4094 4098 4209 4224 4272 4416 4642 4853 5002 5064 5248 5368 5412 5429 5464 5612 5658 5696 5856 5874 6072 6141 6752 6963 7216 7298 7503 7513 7544 7808 7832 7872 8052 8096 8188 8196 8418 8544 8651 8832 9284 9706 10004 10128 10373 10736 10824 10858 10928 10947 11224 11316 11392 11712 11748 12144 12282 12871 13504 13926 14432 14559 14596 15006 15026 15088 15433 15664 15709 15744 16104 16192 16287 16376 16392 16836 17088 17302 18568 18779 19412 20008 20256 20746 21472 21648 21716 21856 21894 22448 22517 22539 22632 23424 23496 24288 24564 25742 25953 27008 27511 27852 28003 28864 29118 29192 30012 30052 30176 30866 31119 31328 31418 32208 32384 32574 32752 32784 33672 34176 34604 37136 37558 38613 38824 40016 40139 40512 41492 41663 42944 43296 43432 43712 43788 44896 45034 45078 45264 46299 46992 47127 48576 49128 51484 51906 53383 55022 55704 56006 56337 57523 57728 58236 58384 59719 60024 60104 60352 60787 61732 62238 62656 62836 64416 65148 65504 65568 67344 67551 69208 74272 75116 77226 77648 80032 80278 81024 82533 82984 83326 83927 84009 85888 86592 86864 87424 87576 89792 90068 90156 90528 92598 93984 94254 95161 97152 98256 102968 103812 106766 110044 111408 112012 112674 115046 116472 116768 119438 120048 120208 120417 120704 121574 123464 124476 124867 124989 125312 125672 128832 130296 131008 131136 134688 135102 138416 141581 144113 148544 150232 154452 155296 160064 160149 160556 165066 165968 166652 167854 168018 172569 172799 173184 173728 175152 179157 179584 180136 180312 181056 182361 185196 187968 188508 190322 196512 198973 205936 206569 207624 213532 220088 222589 222816 224024 225348 230092 232944 233536 238876 240096 240416 240834 243148 246928 248952 249734 249978 251344 251781 257664 260592 262016 262272 269376 270204 276832 283162 285483 288226 296033 297088 300464 308033 308904 310592 320128 320298 321112 330132 331936 333304 335708 336036 345138 345598 347456 350304 358314 360272 360624 362112 364722 370392 374601 375936 377016 380644 393024 397946 411872 413138 415248 424743 427064 431917 432339 440176 445178 445632 448048 450696 458293 460184 465888 467072 477752 480192 480832 481668 486296 493856 497904 499468 499956 502688 503562 518397 521184 527711 538752 540408 553664 566324 570966 576452 592066 596919 600928 616066 617808 619707 621184 632753 640596 642224 644069 660264 663872 666608 667767 668657 671416 672072 690276 691196 694912 700608 716628 720544 721248 729444 740784 749202 754032 761288 769939 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- Sum of all divisors σ(n): 9983161836748800
- Sum of proper divisors (its aliquot sum) s(n): 6866723035499136
- 3116438801249664 is an abundant number, because the sum of its proper divisors (6866723035499136) is greater than itself. Its abundance is 3750284234249472
Bases of 3116438801249664
- Binary: 10110001001001100010011100111011011001110101100000002
- Hexadecimal: 0xB126273B67580
- Base-36: UOOO7Y75HC
Squares and roots of 3116438801249664
- 3116438801249664 squared (31164388012496642) is 9712190801934442754688060112896
- 3116438801249664 cubed (31164388012496643) is 30267448260288587663397355903155974717722066944
-
The
square root of 3116438801249664 is 55825073.2310282241 -
The
cube root of 3116438801249664 is 146067.2549535755
Scales and comparisons
How big is 3116438801249664?- 3,116,438,801,249,664 seconds is equal to 99,093,114 years, 5 weeks, 1 day, 23 hours, 34 minutes, 24 seconds.
-
To count from 1 to 3,116,438,801,249,664 would take you about two hundred ninety-seven million, two hundred seventy-nine thousand, three hundred forty-two 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 3116438801249664 cubic inches would be around 12172.3 feet tall.
Recreational maths with 3116438801249664
- 3116438801249664 backwards is 4669421088346113
- 3116438801249664 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3116438801249664's digits is 66
- More coming soon!
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The information we have on file for 3116438801249664 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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