13977693745344

Names of 13977693745344

• Cardinal: 13977693745344 can be written as Thirteen trillion, nine hundred seventy-seven billion, six hundred ninety-three million, seven hundred forty-five thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.3977693745344 × 10¹³

Factors of 13977693745344

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 880711

Divisors of 13977693745344

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 64 72 84 93 96 112 124 126 127 144 168 186 192 217 224 248 252 254 279 288 336 372 381 434 448 496 504 508 558 576 651 672 744 762 868 889 992 1008 1016 1116 1143 1302 1344 1488 1524 1736 1778 1953 1984 2016 2032 2232 2286 2604 2667 2976 3048 3472 3556 3906 3937 4032 4064 4464 4572 5208 5334 5952 6096 6944 7112 7812 7874 8001 8128 8928 9144 10416 10668 11811 12192 13888 14224 15624 15748 16002 17856 18288 20832 21336 23622 24384 27559 28448 31248 31496 32004 35433 36576 41664 42672 47244 55118 56896 62496 62992 64008 70866 73152 82677 85344 94488 110236 124992 125984 128016 141732 165354 170688 188976 220472 248031 251968 256032 283464 330708 377952 440944 496062 512064 566928 661416 755904 880541 881888 992124 1133856 1322832 1761082 1763776 1984248 2267712 2641623 2645664 3522164 3968496 5283246 5291328 6163787 7044328 7924869 7936992 10566492 12327574 14088656 15849738 15873984 18491361 21132984 24655148 27296771 28177312 31699476 36982722 42265968 49310296 54593542 55474083 56354624 63398952 73965444 81890313 84531936 98620592 109187084 110948166 111828707 126797904 147930888 163780626 169063872 191077397 197241184 218374168 221896332 223657414 245670939 253595808 295861776 327561252 335486121 382154794 394482368 436748336 443792664 447314828 491341878 507191616 573232191 591723552 655122504 670972242 764309588 782800949 873496672 887585328 894629656 982683756 1006458363 1146464382 1183447104 1310245008 1341944484 1528619176 1565601898 1719696573 1746993344 1775170656 1789259312 1965367512 2012916726 2292928764 2348402847 2620490016 2683888968 3057238352 3131203796 3439393146 3466689917 3550341312 3578518624 3930735024 4025833452 4585857528 4696805694 5240980032 5367777936 6114476704 6262407592 6878786292 6933379834 7045208541 7157037248 7861470048 8051666904 9171715056 9393611388 10400069751 10735555872 12228953408 12524815184 13757572584 13866759668 14090417082 15722940096 16103333808 18343430112 18787222776 20800139502 21471111744 24266829419 25049630368 27515145168 27733519336 28180834164 31200209253 32206667616 36686860224 37574445552 41600279004 48533658838 50099260736 55030290336 55467038672 56361668328 62400418506 64413335232 72800488257 75148891104 83200558008 97067317676 110060580672 110934077344 112723336656 124800837012 145600976514 150297782208 166401116016 194134635352 218401464771 221868154688 225446673312 249601674024 291201953028 332802232032 388269270704 436802929542 450893346624 499203348048 582403906056 665604464064 776538541408 873605859084 998406696096 1164807812112 1553077082816 1747211718168 1996813392192 2329615624224 3494423436336 4659231248448 6988846872672 13977693745344
• Sum of all divisors σ(n): 47637294022656
• Sum of proper divisors (its aliquot sum) s(n): 33659600277312
• 13977693745344 is an abundant number, because the sum of its proper divisors (33659600277312) is greater than itself. Its abundance is 19681906531968

Bases of 13977693745344

• Binary: 11001011011001101111011110000111000011000000₂
• Hexadecimal: 0xCB66F7870C0
• Base-36: 4YD9HYNK0

Squares and roots of 13977693745344

• 13977693745344 squared (13977693745344²) is 195375922438628778321678336
• 13977693745344 cubed (13977693745344³) is 2730904809061235938442803174751865667584
• The square root of 13977693745344 is 3738675.3998366855
• The cube root of 13977693745344 is 24088.6155405449

Scales and comparisons

• 13,977,693,745,344 seconds is equal to 444,447 years, 22 weeks, 19 hours, 2 minutes, 24 seconds.
• To count from 1 to 13,977,693,745,344 would take you about one million, one hundred eleven thousand, one hundred eighteen 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 13977693745344 cubic inches would be around 2007.4 feet tall.

Recreational maths with 13977693745344

• 13977693745344 backwards is 44354739677931
• 13977693745344 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13977693745344's digits is 72
• More coming soon!