13557724368422400

Names of 13557724368422400

• Cardinal: 13557724368422400 can be written as Thirteen quadrillion, five hundred fifty-seven trillion, seven hundred twenty-four billion, three hundred sixty-eight million, four hundred twenty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.35577243684224 × 10¹⁶

Factors of 13557724368422400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1452945437

Divisors of 13557724368422400

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 243 256 270 288 300 320 324 360 384 400 405 432 450 480 486 512 540 576 600 640 648 675 720 729 768 800 810 864 900 960 972 1080 1152 1200 1215 1280 1296 1350 1440 1458 1536 1600 1620 1728 1800 1920 1944 2025 2160 2304 2400 2430 2560 2592 2700 2880 2916 3200 3240 3456 3600 3645 3840 3888 4050 4320 4608 4800 4860 5184 5400 5760 5832 6075 6400 6480 6912 7200 7290 7680 7776 8100 8640 9600 9720 10368 10800 11520 11664 12150 12800 12960 13824 14400 14580 15552 16200 17280 18225 19200 19440 20736 21600 23040 23328 24300 25920 28800 29160 31104 32400 34560 36450 38400 38880 41472 43200 46656 48600 51840 57600 58320 62208 64800 69120 72900 77760 86400 93312 97200 103680 115200 116640 124416 129600 145800 155520 172800 186624 194400 207360 233280 259200 291600 311040 345600 373248 388800 466560 518400 583200 622080 777600 933120 1036800 1166400 1555200 1866240 2332800 3110400 4665600 9331200 1452945427 2905890854 4358836281 5811781708 7264727135 8717672562 11623563416 13076508843 14529454270 17435345124 21794181405 23247126832 26153017686 29058908540 34870690248 36323635675 39229526529 43588362810 46494253664 52306035372 58117817080 65382544215 69741380496 72647271350 78459053058 87176725620 92988507328 104612070744 108970907025 116235634160 117688579587 130765088430 139482760992 145294542700 156918106116 174353451240 185977014656 196147632645 209224141488 217941814050 232471268320 235377159174 261530176860 278965521984 290589085400 313836212232 326912721075 348706902480 353065738761 371954029312 392295265290 418448282976 435883628100 464942536640 470754318348 523060353720 557931043968 581178170800 588442897935 627672424464 653825442150 697413804960 706131477522 743908058624 784590530580 836896565952 871767256200 929885073280 941508636696 980738163225 1046120707440 1059197216283 1115862087936 1162356341600 1176885795870 1255344848928 1307650884300 1394827609920 1412262955044 1569181061160 1673793131904 1743534512400 1765328693805 1859770146560 1883017273392 1961476326450 2092241414880 2118394432566 2231724175872 2324712683200 2353771591740 2510689697856 2615301768600 2789655219840 2824525910088 2942214489675 3138362122320 3347586263808 3487069024800 3530657387610 3719540293120 3766034546784 3922952652900 4184482829760 4236788865132 4649425366400 4707543183480 5021379395712 5230603537200 5295986081415 5579310439680 5649051820176 5884428979350 6276724244640 6695172527616 6974138049600 7061314775220 7532069093568 7845905305800 8368965659520 8473577730264 8826643469025 9298850732800 9415086366960 10042758791424 10461207074400 10591972162830 11158620879360 11298103640352 11768857958700 12553448489280 13948276099200 14122629550440 15064138187136 15691810611600 16737931319040 16947155460528 17653286938050 18597701465600 18830172733920 20085517582848 20922414148800 21183944325660 22596207280704 23537715917400 25106896978560 26479930407075 27896552198400 28245259100880 30128276374272 31383621223200 33475862638080 33894310921056 35306573876100 37660345467840 41844828297600 42367888651320 45192414561408 47075431834800 50213793957120 52959860814150 55793104396800 56490518201760 60256552748544 62767242446400 67788621842112 70613147752200 75320690935680 83689656595200 84735777302640 90384829122816 94150863669600 100427587914240 105919721628300 112981036403520 125534484892800 135577243684224 141226295504400 150641381871360 167379313190400 169471554605280 180769658245632 188301727339200 211839443256600 225962072807040 251068969785600 271154487368448 282452591008800 301282763742720 338943109210560 376603454678400 423678886513200 451924145614080 502137939571200 542308974736896 564905182017600 677886218421120 753206909356800 847357773026400 903848291228160 1129810364035200 1355772436842240 1506413818713600 1694715546052800 2259620728070400 2711544873684480 3389431092105600 4519241456140800 6778862184211200 13557724368422400
• Sum of all divisors σ(n): 50362443385473252
• Sum of proper divisors (its aliquot sum) s(n): 36804719017050852
• 13557724368422400 is an abundant number, because the sum of its proper divisors (36804719017050852) is greater than itself. Its abundance is 23246994648628452

Bases of 13557724368422400

• Binary: 110000001010101010110110110000111100010100011000000000₂
• Hexadecimal: 0x302AADB0F14600
• Base-36: 3PHT8LAW000

Squares and roots of 13557724368422400

• 13557724368422400 squared (13557724368422400²) is 183811890050114564970264821760000
• 13557724368422400 cubed (13557724368422400³) is 2492070940938217121046246961632168508391424000000
• The square root of 13557724368422400 is 116437641.5444009241
• The cube root of 13557724368422400 is 238449.0519821263

Scales and comparisons

• 13,557,724,368,422,400 seconds is equal to 431,093,698 years, 6 weeks, 2 days.
• To count from 1 to 13,557,724,368,422,400 would take you about one billion, two hundred ninety-three million, two hundred eighty-one thousand and ninety-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 13557724368422400 cubic inches would be around 19870.8 feet tall.

Recreational maths with 13557724368422400

• 13557724368422400 backwards is 00422486342775531
• The number of decimal digits it has is: 17
• The sum of 13557724368422400's digits is 63
• More coming soon!