13684239409374144
13,684,239,409,374,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 13684239409374144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1260 divisors.
13684239409374144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 13684239409374144:
26 × 39 × 13 × 1372 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 137 × 137 × 211 × 211)See below for interesting mathematical facts about the number 13684239409374144 from the Numbermatics database.
Names of 13684239409374144
- Cardinal: 13684239409374144 can be written as Thirteen quadrillion, six hundred eighty-four trillion, two hundred thirty-nine billion, four hundred nine million, three hundred seventy-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3684239409374144 × 1016
Factors of 13684239409374144
Divisors of 13684239409374144
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 137 144 156 162 192 208 211 216 234 243 274 288 312 324 351 411 416 422 432 468 486 548 576 624 633 648 702 729 822 832 844 864 936 972 1053 1096 1233 1248 1266 1296 1404 1458 1644 1688 1728 1781 1872 1899 1944 2106 2187 2192 2466 2496 2532 2592 2743 2808 2916 3159 3288 3376 3562 3699 3744 3798 3888 4212 4374 4384 4932 5064 5184 5343 5486 5616 5697 5832 6318 6561 6576 6752 7124 7398 7488 7596 7776 8229 8424 8748 8768 9477 9864 10128 10686 10972 11097 11232 11394 11664 12636 13122 13152 13504 14248 14796 15192 15552 16029 16458 16848 17091 17496 18769 18954 19683 19728 20256 21372 21944 22194 22464 22788 23328 24687 25272 26244 26304 28431 28496 28907 29592 30384 32058 32916 33291 33696 34182 34992 37538 37908 39366 39456 40512 42744 43888 44388 44521 45576 46656 48087 49374 50544 51273 52488 56307 56862 56992 57814 59184 60768 64116 65832 66582 67392 68364 69984 74061 75076 75816 78732 78912 85293 85488 86721 87776 88776 89042 91152 96174 98748 99873 101088 102546 104976 112614 113724 113984 115628 118368 121536 128232 131664 133164 133563 136728 139968 144261 148122 150152 151632 153819 157464 168921 170586 170976 173442 175552 177552 178084 182304 192348 197496 199746 202176 205092 209952 222183 225228 227448 231256 236736 243997 255879 256464 260163 263328 266328 267126 273456 288522 296244 299619 300304 303264 307638 314928 337842 341172 341952 346884 355104 356168 364608 375791 384696 394992 399492 400689 410184 419904 432783 444366 450456 454896 461457 462512 487994 506763 511758 512928 520326 526656 532656 534252 546912 577044 578773 592488 599238 600608 606528 615276 629856 666549 675684 682344 693768 710208 712336 731991 751582 769392 780489 789984 798984 801378 820368 865566 888732 898857 900912 909792 922914 925024 975988 1013526 1023516 1025856 1040652 1065312 1068504 1093824 1127373 1154088 1157546 1184976 1198476 1201216 1202067 1230552 1259712 1298349 1333098 1351368 1364688 1384371 1387536 1424672 1463982 1503164 1520289 1538784 1560978 1579968 1597968 1602756 1640736 1731132 1736319 1777464 1797714 1801824 1819584 1845828 1850048 1951976 1999647 2027052 2047032 2081304 2130624 2137008 2195973 2254746 2308176 2315092 2341467 2369952 2396952 2404134 2461104 2596698 2666196 2696571 2702736 2729376 2768742 2775072 2849344 2927964 3006328 3040578 3077568 3121956 3195936 3205512 3281472 3382119 3462264 3472638 3554928 3595428 3603648 3606201 3691656 3895047 3903952 3960259 3999294 4054104 4094064 4153113 4162608 4274016 4391946 4509492 4560867 4616352 4630184 4682934 4739904 4793904 4808268 4922208 5193396 5208957 5332392 5393142 5405472 5458752 5537484 5550144 5855928 5998941 6012656 6081156 6099377 6243912 6391872 6411024 6587919 6764238 6924528 6945276 7024401 7109856 7190856 7212402 7383312 7790094 7807904 7920518 7998588 8108208 8188128 8306226 8325216 8548032 8783892 9018984 9121734 9232704 9260368 9365868 9587808 9616536 9844416 10146357 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2280706568229024 3421059852343536 4561413136458048 6842119704687072 13684239409374144
- Sum of all divisors σ(n): 44397406614993432
- Sum of proper divisors (its aliquot sum) s(n): 30713167205619288
- 13684239409374144 is an abundant number, because the sum of its proper divisors (30713167205619288) is greater than itself. Its abundance is 17028927796245144
Bases of 13684239409374144
- Binary: 1100001001110110111110010001010000010001100011110000002
- Hexadecimal: 0x309DBE450463C0
- Base-36: 3QQNOSRR000
Squares and roots of 13684239409374144
- 13684239409374144 squared (136842394093741442) is 187258408213068421420021775732736
- 13684239409374144 cubed (136842394093741443) is 2562488889405941771091751996583838449852772777984
-
The
square root of 13684239409374144 is 116979653.8265272181 -
The
cube root of 13684239409374144 is 239188.4592186165
Scales and comparisons
How big is 13684239409374144?- 13,684,239,409,374,144 seconds is equal to 435,116,485 years, 4 weeks, 3 days, 11 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,684,239,409,374,144 would take you about one billion, three hundred five million, three hundred forty-nine thousand, four hundred fifty-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 13684239409374144 cubic inches would be around 19932.4 feet tall.
Recreational maths with 13684239409374144
- 13684239409374144 backwards is 44147390493248631
- 13684239409374144 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13684239409374144's digits is 72
- More coming soon!
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The information we have on file for 13684239409374144 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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