12714314421358400

Names of 12714314421358400

• Cardinal: 12714314421358400 can be written as Twelve quadrillion, seven hundred fourteen trillion, three hundred fourteen billion, four hundred twenty-one million, three hundred fifty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.27143144213584 × 10¹⁶

Factors of 12714314421358400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 11120163

Divisors of 12714314421358400

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 127 136 160 170 200 254 272 320 331 340 400 425 508 544 635 662 680 800 850 1016 1088 1270 1324 1360 1600 1655 1700 2032 2159 2540 2648 2720 3175 3310 3400 4064 4318 5080 5296 5440 5627 6350 6620 6800 8128 8275 8636 10160 10592 10795 11254 12700 13240 13600 16550 17272 20320 21184 21590 22508 25400 26480 27200 28135 33100 34544 40640 42037 43180 45016 50800 52960 53975 56270 66200 69088 84074 86360 90032 101600 105920 107950 112540 132400 138176 140675 168148 172720 180064 203200 210185 215900 225080 264800 281350 336296 345440 360128 420370 431800 450160 529600 562700 672592 690880 714629 840740 863600 900320 1050925 1125400 1345184 1429258 1681480 1727200 1800640 2101850 2250800 2690368 2858516 3362960 3454400 3573145 4203700 4501600 5717032 6725920 7146290 8407400 9003200 11119681 11434064 13451840 14292580 16814800 17865725 22239362 22868128 28585160 33629600 35731450 44478724 45736256 55598405 57170320 67259200 71462900 88957448 111196810 114340640 142925800 177914896 189034577 222393620 228681280 277992025 285851600 355829792 378069154 444787240 555984050 571703200 711659584 756138308 889574480 945172885 1111968100 1143406400 1412199487 1512276616 1779148960 1890345770 2223936200 2824398974 3024553232 3558297920 3680614411 3780691540 4447872400 4725864425 5648797948 6049106464 7060997435 7361228822 7561383080 8895744800 9451728850 11297595896 12098212928 14121994870 14722457644 15122766160 17791489600 18403072055 18903457700 22595191792 24007391279 28243989740 29444915288 30245532320 35304987175 36806144110 37806915400 45190383584 48014782558 56487979480 58889830576 60491064640 62570444987 70609974350 73612288220 75613830800 90380767168 92015360275 96029565116 112975958960 117779661152 120036956395 125140889974 141219948700 147224576440 151227661600 184030720550 192059130232 225951917920 235559322304 240073912790 250281779948 282439897400 294449152880 302455323200 312852224935 368061441100 384118260464 451903835840 467438030197 480147825580 500563559896 564879794800 588898305760 600184781975 625704449870 736122882200 768236520928 934876060394 960295651160 1001127119792 1129759589600 1177796611520 1200369563950 1251408899740 1472245764400 1536473041856 1564261124675 1869752120788 1920591302320 2002254239584 2259519179200 2337190150985 2400739127900 2502817799480 2944491528800 3128522249350 3739504241576 3841182604640 4004508479168 4674380301970 4801478255800 5005635598960 5888983057600 6257044498700 7479008483152 7682365209280 7946446513349 9348760603940 9602956511600 10011271197920 11685950754925 12514088997400 14958016966304 15892893026698 18697521207880 19205913023200 20022542395840 23371901509850 25028177994800 29916033932608 31785786053396 37395042415760 38411826046400 39732232566745 46743803019700 50056355989600 63571572106792 74790084831520 79464465133490 93487606039400 100112711979200 127143144213584 149580169663040 158928930266980 186975212078800 198661162833725 254286288427168 317857860533960 373950424157600 397322325667450 508572576854336 635715721067920 747900848315200 794644651334900 1271431442135840 1589289302669800 2542862884271680 3178578605339600 6357157210679200 12714314421358400
• Sum of all divisors σ(n): 33487161816471552
• Sum of proper divisors (its aliquot sum) s(n): 20772847395113152
• 12714314421358400 is an abundant number, because the sum of its proper divisors (20772847395113152) is greater than itself. Its abundance is 8058532973754752

Bases of 12714314421358400

• Binary: 101101001010111001101000000010101001011100111101000000₂
• Hexadecimal: 0x2D2B9A02A5CF40
• Base-36: 3H6UJESLU0W

Squares and roots of 12714314421358400

• 12714314421358400 squared (12714314421358400²) is 161653791205162185818101250560000
• 12714314421358400 cubed (12714314421358400³) is 2055317128787053267558896540230349813960704000000
• The square root of 12714314421358400 is 112757768.7849418205
• The cube root of 12714314421358400 is 233398.2788323431

Scales and comparisons

• 12,714,314,421,358,400 seconds is equal to 404,275,870 years, 33 weeks, 2 days, 20 hours, 53 minutes, 20 seconds.
• To count from 1 to 12,714,314,421,358,400 would take you about one billion, two hundred twelve million, eight hundred twenty-seven thousand, six hundred eleven 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 12714314421358400 cubic inches would be around 19449.9 feet tall.

Recreational maths with 12714314421358400

• 12714314421358400 backwards is 00485312441341721
• 12714314421358400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12714314421358400's digits is 50
• More coming soon!