131966890116768

Names of 131966890116768

• Cardinal: 131966890116768 can be written as One hundred thirty-one trillion, nine hundred sixty-six billion, eight hundred ninety million, one hundred sixteen thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.31966890116768 × 10¹⁴

Factors of 131966890116768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 106693

Divisors of 131966890116768

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 387 504 516 602 672 688 774 903 1008 1032 1204 1376 1548 1806 2016 2064 2408 2709 3096 3612 4128 4816 5418 6192 7224 9632 10836 12384 14448 16979 21672 28896 33958 43344 50937 67916 86688 89659 101874 118853 135832 152811 179318 203748 237706 268977 271664 305622 356559 358636 407496 475412 537954 543328 611244 627613 713118 717272 730097 806931 814992 950824 1069677 1075908 1222488 1255226 1426236 1434544 1460194 1613862 1629984 1882839 1901648 2139354 2151816 2190291 2444976 2510452 2852472 2869088 2920388 3227724 3765678 3803296 3855337 4278708 4303632 4380582 4889952 5020904 5110679 5648517 5704944 5840776 6455448 6570873 7531356 7710674 8557416 8607264 8761164 10041808 10221358 11297034 11409888 11566011 11681552 12910896 13141746 15062712 15332037 15421348 17114832 17522328 20083616 20442716 22594068 23132022 23363104 25821792 26283492 26987359 30125424 30664074 30842696 34229664 34698033 35044656 40885432 45188136 45996111 46264044 52566984 53974718 60250848 61328148 61685392 69396066 70089312 80962077 81770864 90376272 91992222 92528088 105133968 107949436 122656296 123370784 138792132 161924154 163541728 180752544 183984444 185056176 210267936 215898872 242886231 245312592 277584264 323848308 367968888 370112352 431797744 485772462 490625184 555168528 647696616 735937776 863595488 971544924 1110337056 1295393232 1471875552 1522320161 1943089848 2590786464 3044640322 3886179696 4566960483 6089280644 7772359392 9133920966 10656241127 12178561288 13700881449 18267841932 21312482254 24357122576 27401762898 31968723381 36535683864 42624964508 48714245152 54803525796 63937446762 65459766923 73071367728 85249929016 95906170143 109607051592 127874893524 130919533846 146142735456 170499858032 191812340286 196379300769 219214103184 255749787048 261839067692 340999716064 383624680572 392758601538 438428206368 458218368461 511499574096 523678135384 589137902307 767249361144 785517203076 916436736922 1022999148192 1047356270768 1178275804614 1374655105383 1534498722288 1571034406152 1832873473844 2094712541536 2356551609228 2749310210766 3068997444576 3142068812304 3665746947688 4123965316149 4713103218456 5498620421532 6284137624608 7331493895376 8247930632298 9426206436912 10997240843064 14662987790752 16495861264596 18852412873824 21994481686128 32991722529192 43988963372256 65983445058384 131966890116768
• Sum of all divisors σ(n): 438897377318400
• Sum of proper divisors (its aliquot sum) s(n): 306930487201632
• 131966890116768 is an abundant number, because the sum of its proper divisors (306930487201632) is greater than itself. Its abundance is 174963597084864

Bases of 131966890116768

• Binary: 11110000000010111101111100110111000011010100000₂
• Hexadecimal: 0x7805EF9B86A0
• Base-36: 1AS0R33AG0

Squares and roots of 131966890116768

• 131966890116768 squared (131966890116768²) is 17415260087091119636674765824
• 131966890116768 cubed (131966890116768³) is 2298237714268089294919354645006806415736832
• The square root of 131966890116768 is 11487684.2799916815
• The cube root of 131966890116768 is 50912.1761760187

Scales and comparisons

• 131,966,890,116,768 seconds is equal to 4,196,138 years, 47 weeks, 12 hours, 52 minutes, 48 seconds.
• To count from 1 to 131,966,890,116,768 would take you about ten million, four hundred ninety 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 131966890116768 cubic inches would be around 4242.7 feet tall.

Recreational maths with 131966890116768

• 131966890116768 backwards is 867611098669131
• 131966890116768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131966890116768's digits is 72
• More coming soon!