13764819142848319
13,764,819,142,848,319 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 13764819142848319 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
13764819142848319 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13764819142848319:
7 × 133 × 31 × 61 × 672 × 97 × 1087
(7 × 13 × 13 × 13 × 31 × 61 × 67 × 67 × 97 × 1087)See below for interesting mathematical facts about the number 13764819142848319 from the Numbermatics database.
Names of 13764819142848319
- Cardinal: 13764819142848319 can be written as Thirteen quadrillion, seven hundred sixty-four trillion, eight hundred nineteen billion, one hundred forty-two million, eight hundred forty-eight thousand, three hundred nineteen.
Scientific notation
- Scientific notation: 1.3764819142848319 × 1016
Factors of 13764819142848319
Divisors of 13764819142848319
- Number of divisors d(n): 384
-
Complete list of divisors:
1 7 13 31 61 67 91 97 169 217 403 427 469 679 793 871 1087 1183 1261 1891 2077 2197 2821 3007 4087 4489 5239 5551 5917 6097 6499 7609 8827 10309 11323 13237 14131 14539 15379 16393 21049 24583 27001 28609 31423 33697 36673 39091 41419 45493 53131 58357 66307 68107 72163 72829 76921 79261 84487 98917 105439 114751 126697 134017 139159 147199 172081 183427 183703 189007 201469 213109 235879 273637 273829 319579 351013 371917 396439 408499 435433 438061 464149 476749 508183 509803 538447 591409 690703 738073 758641 861991 886879 938119 946777 974113 999973 1030393 1098331 1283989 1285921 1370707 1410283 1491763 1647061 1809067 1916803 2055517 2237053 2257699 2384551 2388139 2457091 2619097 2775073 3048031 3066427 3268609 3557281 3559777 4154527 4442569 4563169 4834921 4879543 5153707 5310487 5660629 5694793 6033937 6431779 6606379 6627439 6999811 7064413 7688317 8488699 8979139 9594949 9862333 11205883 11529427 12289609 12308101 12663469 12999649 13498423 14278303 14388619 15803893 16691857 16716973 17819191 18333679 21411793 22880263 23517871 24918439 26561413 26721721 29081689 29350087 30999163 31097983 31942183 34048261 34156801 36075949 39624403 39863551 42491917 45022453 46244653 46277101 49450891 57753397 59420893 62853973 63434059 66998191 69036331 73588177 74032309 78441181 83613127 86027263 86156707 90997543 91837369 94488961 99948121 110353087 124734337 137719639 145676479 149882551 151265833 159764917 160005313 164625097 175479499 185929891 187052047 199385149 205450609 216994141 218996803 231649483 238337827 278353309 297443419 297652123 305732323 323939707 345298369 347382373 381551131 402989119 404273779 430929193 442627393 444038413 468987337 473315671 515117239 518226163 552394921 585291889 601602313 642861583 750794161 772471609 823403803 824642767 870976483 956646301 964037473 1019735353 1058860831 1086970651 1118354419 1120037191 1193885797 1228356493 1395696043 1434590131 1532977621 1621546381 1790355307 1948473163 1966455829 2076943921 2083564861 2140126261 2281233487 2417088583 2431676611 2592006937 2670857917 2820923833 2846958439 3016504351 3098391751 3313209697 3866764447 3869477599 4211216191 4488878797 4515970849 4960164703 5255559127 5602079509 5763826621 5772499369 6096835381 6153103723 6696524107 7181133973 7608794557 8357200579 9227215813 9760324093 10042130917 10704249439 10720355971 12532487149 13358804983 13765190803 14130618463 14538607447 14672785801 15520515361 15968634409 18144048559 18649671703 19928709073 23274618991 25563925777 27000270973 27086343193 28872255931 29656035331 31422151579 31611795943 33696090181 34721152921 37010459707 39214556563 43071726061 50267937811 50303208787 58355424361 64590510691 68322268651 72827033617 74929746073 75042491797 79990348399 93511634881 98914329241 102709500607 108643607527 119953805569 130547701921 139155242707 162922332937 173664464779 178947480439 189001896811 190746215413 202105791517 207592247317 235872631267 259073217949 302570046883 332331035101 352122461509 375339327103 408487970527 438049172353 481135976191 509789235319 559932438793 653941714231 839676638983 895039933861 946751437021 974086698949 1039874529187 1215651253453 1335223507891 1559399472397 1809018155191 2117990328181 2257638042127 2326317245707 2479700800369 2627375289721 3066344206471 3367951833337 4577591999617 4879411252339 6265279537027 6627260059147 7279121704309 10915796306779 11635519140193 12663127086337 15803466294889 17357905602583 20272193141161 29349294547651 32236110404797 34155878766373 63432346280407 81448633981351 141905351988127 151261748822509 205445061833557 225652772833579 444026423962849 1058832241757563 1966402734692617 13764819142848319
- Sum of all divisors σ(n): 18354502250004480
- Sum of proper divisors (its aliquot sum) s(n): 4589683107156161
- 13764819142848319 is a deficient number, because the sum of its proper divisors (4589683107156161) is less than itself. Its deficiency is 9175136035692158
Bases of 13764819142848319
- Binary: 1100001110011100000111101100110110100000101111001111112
- Hexadecimal: 0x30E707B3682F3F
- Base-36: 3RJ7YM8JXA7
Squares and roots of 13764819142848319
- 13764819142848319 squared (137648191428483192) is 189470246035323531384164241125761
- 13764819142848319 cubed (137648191428483193) is 2608023669627202162606221324740061466984626445759
-
The
square root of 13764819142848319 is 117323566.0165864503 -
The
cube root of 13764819142848319 is 239657.0282979647
Scales and comparisons
How big is 13764819142848319?- 13,764,819,142,848,319 seconds is equal to 437,678,671 years, 18 weeks, 5 days, 13 hours, 25 minutes, 19 seconds.
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To count from 1 to 13,764,819,142,848,319 would take you about one billion, three hundred thirteen million, thirty-six thousand and fourteen 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 13764819142848319 cubic inches would be around 19971.4 feet tall.
Recreational maths with 13764819142848319
- 13764819142848319 backwards is 91384824191846731
- The number of decimal digits it has is: 17
- The sum of 13764819142848319's digits is 79
- More coming soon!
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