3968534317660416

Names of 3968534317660416

• Cardinal: 3968534317660416 can be written as Three quadrillion, nine hundred sixty-eight trillion, five hundred thirty-four billion, three hundred seventeen million, six hundred sixty thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 3.968534317660416 × 10¹⁵

Factors of 3968534317660416

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 445

Divisors of 3968534317660416

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 433 441 448 504 576 588 672 768 784 866 882 896 1008 1152 1176 1299 1344 1568 1732 1764 1792 2016 2304 2352 2598 2688 3031 3136 3464 3528 3897 4032 4704 5196 5376 6062 6272 6928 7056 7794 8064 9093 9408 10392 12124 12544 13856 14112 15588 16128 18186 18816 20784 21217 24248 27279 27712 28224 31176 36372 37632 41568 42434 48496 54558 55424 56448 62352 63651 72744 83136 84868 96992 109116 110848 112896 124704 127302 145488 166272 169736 187489 190953 193984 218232 249408 254604 290976 332544 339472 374978 381906 387968 436464 498816 509208 562467 581952 678944 749956 763812 775936 872928 997632 1018416 1124934 1163904 1312423 1357888 1499912 1527624 1687401 1745856 2036832 2249868 2327808 2624846 2715776 2999824 3055248 3374802 3491712 3937269 4073664 4499736 5249692 5431552 5999648 6110496 6749604 6983424 7874538 8147328 8999472 9186961 10499384 11811807 11999296 12220992 13499208 15749076 16294656 17998944 18373922 20998768 23623614 23998592 24441984 26998416 27560883 31498152 35997888 36747844 41997536 47247228 47997184 48883968 53996832 55121766 62996304 71995776 73495688 81182737 82682649 83995072 94494456 107993664 110243532 125992608 143991552 146991376 162365474 165365298 167990144 188988912 215987328 220487064 243548211 251985216 293982752 324730948 330730596 335980288 377977824 431974656 440974128 487096422 503970432 568279159 587965504 649461896 661461192 730644633 755955648 881948256 974192844 1007940864 1136558318 1175931008 1298923792 1322922384 1461289266 1511911296 1704837477 1763896512 1948385688 2273116636 2351862016 2597847584 2645844768 2922578532 3023822592 3409674954 3527793024 3896771376 3977954113 4546233272 5114512431 5195695168 5291689536 5845157064 6819349908 7055586048 7793542752 7955908226 9092466544 10229024862 10391390336 10583379072 11690314128 11933862339 13638699816 15587085504 15911816452 18184933088 20458049724 20782780672 21166758144 23380628256 23867724678 27277399632 31174171008 31823632904 35152125121 35801587017 36369866176 40916099448 46761256512 47735449356 54554799264 62348342016 63647265808 70304250242 71603174034 72739732352 81832198896 93522513024 95470898712 105456375363 109109598528 127294531616 140608500484 143206348068 145479464704 163664397792 187045026048 190941797424 210912750726 218219197056 246064875847 254589063232 281217000968 286412696136 316369126089 327328795584 381883594848 421825501452 436438394112 492129751694 509178126464 562434001936 572825392272 632738252178 654657591168 738194627541 763767189696 843651002904 984259503388 1018356252928 1124868003872 1145650784544 1265476504356 1309315182336 1476389255082 1527534379392 1687302005808 1722454130929 1968519006776 2214583882623 2249736007744 2291301569088 2530953008712 2952778510164 3055068758784 3374604011616 3444908261858 3937038013552 4429167765246 4499472015488 4582603138176 5061906017424 5167362392787 5905557020328 6749208023232 6889816523716 7874076027104 8858335530492 8998944030976 9165206276352 10123812034848 10334724785574 11811114040656 13498416046464 13779633047432 15502087178361 15748152054208 17716671060984 20247624069696 20669449571148 23622228081312 26996832092928 27559266094864 31004174356722 31496304108416 35433342121968 40495248139392 41338899142296 47244456162624 55118532189728 62008348713444 62992608216832 70866684243936 80990496278784 82677798284592 94488912325248 110237064379456 124016697426888 141733368487872 165355596569184 188977824650496 220474128758912 248033394853776 283466736975744 330711193138368 440948257517824 496066789707552 566933473951488 661422386276736 992133579415104 1322844772553472 1984267158830208 3968534317660416
• Sum of all divisors σ(n): 13341198410971431
• Sum of proper divisors (its aliquot sum) s(n): 9372664093311015
• 3968534317660416 is an abundant number, because the sum of its proper divisors (9372664093311015) is greater than itself. Its abundance is 5404129775650599

Bases of 3968534317660416

• Binary: 1110000110010101110001100110010010000111100100000000₂
• Hexadecimal: 0xE195C66487900
• Base-36: 132Q7HW7R40

Squares and roots of 3968534317660416

• 3968534317660416 squared (3968534317660416²) is 15749264630448423608427893293056
• 3968534317660416 cubed (3968534317660416³) is 62501497163849958538781291079290389379778871296
• 3968534317660416 is a perfect square number. Its square root is 62996304
• The cube root of 3968534317660416 is 158322.7701549227

Scales and comparisons

• 3,968,534,317,660,416 seconds is equal to 126,187,115 years, 42 weeks, 4 days, 2 hours, 33 minutes, 36 seconds.
• To count from 1 to 3,968,534,317,660,416 would take you about three hundred seventy-eight million, five hundred sixty-one thousand, three hundred forty-seven 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 3968534317660416 cubic inches would be around 13193.6 feet tall.

Recreational maths with 3968534317660416

• 3968534317660416 backwards is 6140667134358693
• 3968534317660416 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3968534317660416's digits is 72
• More coming soon!