13948498646119584

Names of 13948498646119584

• Cardinal: 13948498646119584 can be written as Thirteen quadrillion, nine hundred forty-eight trillion, four hundred ninety-eight billion, six hundred forty-six million, one hundred nineteen thousand, five hundred eighty-four.

Scientific notation

• Scientific notation: 1.3948498646119584 × 10¹⁶

Factors of 13948498646119584

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 23315

Divisors of 13948498646119584

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 961 992 1116 1488 1674 1922 2232 2883 2976 3348 3844 4464 5766 6696 7688 8649 8928 11532 13392 15376 17298 23064 23279 25947 26784 29791 30752 34596 46128 46558 51894 59582 69192 69837 89373 92256 93116 103788 119164 138384 139674 178746 186232 207576 209511 238328 268119 276768 279348 357492 372464 415152 419022 476656 536238 558696 628533 714984 721649 744928 804357 830304 838044 953312 1072476 1117392 1257066 1429968 1443298 1608714 1676088 2144952 2164947 2234784 2514132 2859936 2886596 3217428 3352176 4289904 4329894 5028264 5773192 6434856 6494841 6704352 8579808 8659788 10056528 11546384 12869712 12989682 17319576 19484523 20113056 22371119 23092768 25739424 25979364 34639152 38969046 44742238 51958728 67113357 69278304 77938092 89484476 103917456 134226714 155876184 178968952 201340071 207834912 268453428 311752368 357937904 402680142 536906856 541911841 604020213 623504736 693504689 715875808 805360284 1073813712 1083823682 1208040426 1387009378 1610720568 1625735523 2080514067 2147627424 2167647364 2416080852 2774018756 3221441136 3251471046 4161028134 4335294728 4832161704 4877206569 5548037512 6241542201 6442882272 6502942092 8322056268 8670589456 9664323408 9754413138 11096075024 12483084402 13005884184 14631619707 16644112536 16799267071 17341178912 18724626603 19328646816 19508826276 22192150048 24966168804 26011768368 29263239414 33288225072 33598534142 37449253206 39017652552 49932337608 50397801213 52023536736 58526478828 66576450144 67197068284 74898506412 78035305104 99864675216 100795602426 117052957656 134394136568 149797012824 151193403639 156070610208 199729350432 201591204852 234105915312 268788273136 299594025648 302386807278 403182409704 453580210917 468211830624 520777279201 537576546272 599188051296 604773614556 806364819408 907160421834 1041554558402 1209547229112 1562331837603 1612729638816 1814320843668 2083109116804 2419094458224 3124663675206 3628641687336 4166218233608 4686995512809 4838188916448 6249327350412 7257283374672 8332436467216 9373991025618 12498654700824 14060986538427 14514566749344 16144095655231 16664872934432 18747982051236 24997309401648 28121973076854 32288191310462 37495964102472 48432286965693 49994618803296 56243946153708 64576382620924 74991928204944 96864573931386 112487892307416 129152765241848 145296860897079 149983856409888 193729147862772 224975784614832 258305530483696 290593721794158 387458295725544 435890582691237 449951569229664 516611060967392 581187443588316 774916591451088 871781165382474 1162374887176632 1549833182902176 1743562330764948 2324749774353264 3487124661529896 4649499548706528 6974249323059792 13948498646119584
• Sum of all divisors σ(n): 42040985527457280
• Sum of proper divisors (its aliquot sum) s(n): 28092486881337696
• 13948498646119584 is an abundant number, because the sum of its proper divisors (28092486881337696) is greater than itself. Its abundance is 14143988235218112

Bases of 13948498646119584

• Binary: 110001100011100001010111101010111100111011010010100000₂
• Hexadecimal: 0x318E15EAF3B4A0
• Base-36: 3TCBVTEC4O0

Squares and roots of 13948498646119584

• 13948498646119584 squared (13948498646119584²) is 194560614480799867840180828333056
• 13948498646119584 cubed (13948498646119584³) is 2713828467673631286087813199794590237217556168704
• The square root of 13948498646119584 is 118103762.2013777511
• The cube root of 13948498646119584 is 240718.3261625355

Scales and comparisons

• 13,948,498,646,119,584 seconds is equal to 443,519,111 years, 21 weeks, 1 day, 7 hours, 26 minutes, 24 seconds.
• To count from 1 to 13,948,498,646,119,584 would take you about one billion, three hundred thirty million, five hundred fifty-seven thousand, three hundred thirty-four 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 13948498646119584 cubic inches would be around 20059.9 feet tall.

Recreational maths with 13948498646119584

• 13948498646119584 backwards is 48591164689484931
• The number of decimal digits it has is: 17
• The sum of 13948498646119584's digits is 90
• More coming soon!