13842054827356392
13,842,054,827,356,392 is an even composite number composed of five prime numbers multiplied together.
What does the number 13842054827356392 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
13842054827356392 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13842054827356392:
23 × 35 × 72 × 13 × 11178019739
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 11178019739)See below for interesting mathematical facts about the number 13842054827356392 from the Numbermatics database.
Names of 13842054827356392
- Cardinal: 13842054827356392 can be written as Thirteen quadrillion, eight hundred forty-two trillion, fifty-four billion, eight hundred twenty-seven million, three hundred fifty-six thousand, three hundred ninety-two.
Scientific notation
- Scientific notation: 1.3842054827356392 × 1016
Factors of 13842054827356392
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 11178019764
Divisors of 13842054827356392
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 49 52 54 56 63 72 78 81 84 91 98 104 108 117 126 147 156 162 168 182 189 196 216 234 243 252 273 294 312 324 351 364 378 392 441 468 486 504 546 567 588 637 648 702 728 756 819 882 936 972 1053 1092 1134 1176 1274 1323 1404 1512 1638 1701 1764 1911 1944 2106 2184 2268 2457 2548 2646 2808 3159 3276 3402 3528 3822 3969 4212 4536 4914 5096 5292 5733 6318 6552 6804 7371 7644 7938 8424 9828 10584 11466 11907 12636 13608 14742 15288 15876 17199 19656 22113 22932 23814 25272 29484 31752 34398 44226 45864 47628 51597 58968 68796 88452 95256 103194 137592 154791 176904 206388 309582 412776 619164 1238328 11178019739 22356039478 33534059217 44712078956 67068118434 78246138173 89424157912 100602177651 134136236868 145314256607 156492276346 201204355302 234738414519 268272473736 290628513214 301806532953 312984552692 402408710604 435942769821 469476829038 547722967211 581257026428 603613065906 625969105384 704215243557 804817421208 871885539642 905419598859 938953658076 1017199796249 1095445934422 1162514052856 1207226131812 1307828309463 1408430487114 1643168901633 1743771079284 1810839197718 1877907316152 2034399592498 2112645730671 2190891868844 2414452263624 2615656618926 2716258796577 2816860974228 3051599388747 3286337803266 3487542158568 3621678395436 3923484928389 4068799184996 4225291461342 4381783737688 4929506704899 5231313237852 5432517593154 5633721948456 6103198777494 6337937192013 6572675606532 7120398573743 7243356790872 7846969856778 8137598369992 8450582922684 9154798166241 9859013409798 10462626475704 10865035186308 11770454785167 12206397554988 12675874384026 13145351213064 14240797147486 14788520114697 15693939713556 16901165845368 18309596332482 19013811576039 19718026819596 21361195721229 21730070372616 23540909570334 24412795109976 25351748768052 27464394498723 28481594294972 29577040229394 31387879427112 35311364355501 36619192664964 38027623152078 39436053639192 42722391442458 44365560344091 47081819140668 50703497536104 54928788997446 56963188589944 59154080458788 64083587163687 70622728711002 73238385329928 76055246304156 82393183496169 85444782884916 88731120688182 94163638281336 109857577994892 118308160917576 128167174327374 133096681032273 141245457422004 152110492608312 164786366992338 170889565769832 177462241376364 192250761491061 219715155989784 247179550488507 256334348654748 266193362064546 282490914844008 329572733984676 354924482752728 384501522982122 494359100977014 512668697309496 532386724129092 576752284473183 659145467969352 769003045964244 988718201954028 1064773448258184 1153504568946366 1538006091928488 1730256853419549 1977436403908056 2307009137892732 3460513706839098 4614018275785464 6921027413678196 13842054827356392
- Sum of all divisors σ(n): 48703526248759200
- Sum of proper divisors (its aliquot sum) s(n): 34861471421402808
- 13842054827356392 is an abundant number, because the sum of its proper divisors (34861471421402808) is greater than itself. Its abundance is 21019416594046416
Bases of 13842054827356392
- Binary: 1100010010110101000110100010001111001000110000111010002
- Hexadecimal: 0x312D4688F230E8
- Base-36: 3SALK78XYI0
Squares and roots of 13842054827356392
- 13842054827356392 squared (138420548273563922) is 191602481843540395136935383257664
- 13842054827356392 cubed (138420548273563923) is 2652172058735843776983886796312485631054093388288
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The
square root of 13842054827356392 is 117652262.3129550875 -
The
cube root of 13842054827356392 is 240104.4385005149
Scales and comparisons
How big is 13842054827356392?- 13,842,054,827,356,392 seconds is equal to 440,134,527 years, 11 weeks, 4 days, 5 hours, 13 minutes, 12 seconds.
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To count from 1 to 13,842,054,827,356,392 would take you about one billion, three hundred twenty million, four hundred three thousand, five hundred eighty-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 13842054827356392 cubic inches would be around 20008.7 feet tall.
Recreational maths with 13842054827356392
- 13842054827356392 backwards is 29365372845024831
- 13842054827356392 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13842054827356392's digits is 72
- More coming soon!
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