109948137759708144

Names of 109948137759708144

• Cardinal: 109948137759708144 can be written as One hundred nine quadrillion, nine hundred forty-eight trillion, one hundred thirty-seven billion, seven hundred fifty-nine million, seven hundred eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.09948137759708144 × 10¹⁷

Factors of 109948137759708144

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 14629486

Divisors of 109948137759708144

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 149 156 208 229 298 312 353 447 458 596 624 687 706 894 916 1059 1192 1374 1412 1788 1832 1937 2118 2384 2748 2824 2977 3576 3664 3874 4236 4589 5496 5648 5811 5954 7152 7748 8472 8931 9178 10992 11622 11908 13767 15496 16944 17862 18356 23244 23816 27534 30992 34121 35724 36712 46488 47632 52597 55068 68242 71448 73424 80837 92976 102363 105194 110136 136484 142896 157791 161674 204726 210388 220272 242511 272968 315582 323348 409452 420776 443573 485022 545936 631164 646696 683761 818904 841552 887146 970044 1050881 1262328 1293392 1330719 1367522 1637808 1774292 1940088 2051283 2101762 2524656 2661438 2735044 3152643 3548584 3880176 4102566 4203524 5322876 5470088 6305286 7097168 8205132 8407048 10645752 10940176 12044713 12610572 14628737 16410264 16814096 21291504 24089426 25221144 29257474 32820528 36134139 43886211 48178852 50442288 58514948 72268278 87772422 96357704 117029896 144536556 156581269 175544844 190173581 192715408 234059792 289073112 313162538 351089688 380347162 469743807 570520743 578146224 626325076 702179376 760694324 939487614 1141041486 1252650152 1521388648 1878975228 2179681813 2282082972 2505300304 3042777296 3349980773 3757950456 4359363626 4564165944 5163944161 6539045439 6699961546 7515900912 8718727252 9128331888 10049942319 10327888322 13078090878 13399923092 15491832483 17437454504 20099884638 20655776644 26156181756 26799846184 28335863569 30983664966 34874909008 40199769276 41311553288 43549750049 52312363512 53599692368 56671727138 61967329932 67131274093 80399538552 82623106576 85007590707 87099500098 104624727024 113343454276 123934659864 130649250147 134262548186 160799077104 170015181414 174199000196 201393822279 226686908552 247869319728 261298500294 268525096372 340030362828 348398000392 402787644558 453373817104 499147135177 522597000588 537050192744 680060725656 696796000784 769427679989 805575289116 998294270354 1045194001176 1074100385488 1182543212869 1360121451312 1497441405531 1538855359978 1611150578232 1996588540708 2090388002352 2308283039967 2365086425738 2994882811062 3077710719956 3222301156464 3547629638607 3993177081416 4616566079934 4730172851476 5989765622124 6155421439912 6488912757301 7095259277214 7986354162832 9233132159868 9460345702952 10002559839857 11979531244248 12310842879824 12977825514602 14190518554428 15373061767297 18466264319736 18920691405904 19466738271903 20005119679714 23959062488496 25955651029204 28381037108856 30007679519571 30746123534594 36932528639472 38933476543806 40010239359428 46119185301891 51911302058408 56762074217712 60015359039142 61492247069188 77866953087612 80020478718856 92238370603782 103822604116816 120030718078284 122984494138376 155733906175224 160040957437712 176198938717481 184476741207564 240061436156568 245968988276752 311467812350448 352397877434962 368953482415128 480122872313136 528596816152443 704795754869924 737906964830256 1057193632304886 1409591509739848 2114387264609772 2290586203327253 2819183019479696 4228774529219544 4581172406654506 6871758609981759 8457549058439088 9162344813309012 13743517219963518 18324689626618024 27487034439927036 36649379253236048 54974068879854072 109948137759708144
• Sum of all divisors σ(n): 310155109208784000
• Sum of proper divisors (its aliquot sum) s(n): 200206971449075856
• 109948137759708144 is an abundant number, because the sum of its proper divisors (200206971449075856) is greater than itself. Its abundance is 90258833689367712

Bases of 109948137759708144

• Binary: 110000110100111010011111110101110111000100001001111110000₂
• Hexadecimal: 0x1869D3FAEE213F0
• Base-36: U2LD171C5IO

Squares and roots of 109948137759708144

• 109948137759708144 squared (109948137759708144²) is 12088592996827759770211920059924736
• 109948137759708144 cubed (109948137759708144³) is 1329118288136261645809763968487217358818621966249984
• The square root of 109948137759708144 is 331584284.5487526177
• The cube root of 109948137759708144 is 479066.6727271701

Scales and comparisons

• 109,948,137,759,708,144 seconds is equal to 3,496,010,688 years, 43 weeks, 4 days, 8 hours, 42 minutes, 24 seconds.
• To count from 1 to 109,948,137,759,708,144 would take you about ten billion, four hundred eighty-eight million, thirty-two thousand and sixty-six 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 109948137759708144 cubic inches would be around 39922.2 feet tall.

Recreational maths with 109948137759708144

• 109948137759708144 backwards is 441807957731849901
• The number of decimal digits it has is: 18
• The sum of 109948137759708144's digits is 87
• More coming soon!