189901978464768

Names of 189901978464768

• Cardinal: 189901978464768 can be written as One hundred eighty-nine trillion, nine hundred one billion, nine hundred seventy-eight million, four hundred sixty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.89901978464768 × 10¹⁴

Factors of 189901978464768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 77

Divisors of 189901978464768

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 29 32 43 48 58 64 86 87 96 116 128 129 172 174 192 232 256 258 344 348 384 464 512 516 688 696 768 841 928 1032 1247 1376 1392 1536 1682 1849 1856 2064 2494 2523 2752 2784 3364 3698 3712 3741 4128 4988 5046 5504 5547 5568 6728 7396 7424 7482 8256 9976 10092 11008 11094 11136 13456 14792 14848 14964 16512 19952 20184 22016 22188 22272 26912 29584 29928 33024 36163 39904 40368 44376 44544 53621 53824 59168 59856 66048 72326 79507 79808 80736 88752 107242 107648 108489 118336 119712 144652 159014 159616 160863 161472 177504 214484 215296 216978 236672 238521 239424 289304 318028 319232 321726 322944 355008 428968 430592 433956 473344 477042 478848 578608 636056 638464 643452 645888 710016 857936 867912 946688 954084 957696 1157216 1272112 1286904 1291776 1420032 1555009 1715872 1735824 1908168 1915392 2305703 2314432 2544224 2573808 2840064 3110018 3418801 3431744 3471648 3816336 4611406 4628864 4665027 5088448 5147616 6220036 6837602 6863488 6917109 6943296 7632672 9222812 9257728 9330054 10176896 10256403 10295232 12440072 13675204 13726976 13834218 13886592 15265344 18445624 18515456 18660108 20353792 20512806 20590464 24880144 27350408 27453952 27668436 27773184 30530688 36891248 37320216 40707584 41025612 41180928 49760288 54700816 55336872 55546368 61061376 66865387 73782496 74640432 82051224 82361856 99145229 99520576 109401632 110673744 122122752 133730774 147008443 147564992 149280864 164102448 198290458 199041152 200596161 218803264 221347488 267461548 294016886 295129984 297435687 298561728 328204896 396580916 398082304 401192322 437606528 441025329 442694976 534923096 588033772 590259968 594871374 597123456 656409792 793161832 796164608 802384644 875213056 882050658 885389952 1069846192 1176067544 1180519936 1189742748 1194246912 1312819584 1586323664 1604769288 1750426112 1764101316 1770779904 2139692384 2352135088 2379485496 2388493824 2625639168 2875211641 3172647328 3209538576 3528202632 3541559808 4263244847 4279384768 4704270176 4758970992 5251278336 5750423282 6345294656 6419077152 7056405264 8526489694 8558769536 8625634923 9408540352 9517941984 11500846564 12690589312 12789734541 12838154304 14112810528 17052979388 17117539072 17251269846 18817080704 19035883968 23001693128 25381178624 25579469082 25676308608 28225621056 34105958776 34235078144 34502539692 37634161408 38071767936 46003386256 50762357248 51158938164 51352617216 56451242112 68211917552 69005079384 75268322816 76143535872 92006772512 102317876328 102705234432 112902484224 123634100563 136423835104 138010158768 152287071744 184013545024 204635752656 225804968448 247268201126 272847670208 276020317536 368027090048 370902301689 409271505312 494536402252 545695340416 552040635072 736054180096 741804603378 818543010624 989072804504 1091390680832 1104081270144 1472108360192 1483609206756 1637086021248 1978145609008 2182781361664 2208162540288 2967218413512 3274172042496 3956291218016 4416325080576 5934436827024 6548344084992 7912582436032 11868873654048 15825164872064 23737747308096 31650329744128 47475494616192 63300659488256 94950989232384 189901978464768
• Sum of all divisors σ(n): 536432674357008
• Sum of proper divisors (its aliquot sum) s(n): 346530695892240
• 189901978464768 is an abundant number, because the sum of its proper divisors (346530695892240) is greater than itself. Its abundance is 156628717427472

Bases of 189901978464768

• Binary: 101011001011011011111111111101111111001000000000₂
• Hexadecimal: 0xACB6FFF7F200
• Base-36: 1VBBRIUQYO

Squares and roots of 189901978464768

• 189901978464768 squared (189901978464768²) is 36062761424833209238217293824
• 189901978464768 cubed (189901978464768³) is 6848389743478742256322218282212559087992832
• The square root of 189901978464768 is 13780492.6785934617
• The cube root of 189901978464768 is 57479.0828481887

Scales and comparisons

• 189,901,978,464,768 seconds is equal to 6,038,295 years, 26 weeks, 3 days, 13 hours, 32 minutes, 48 seconds.
• To count from 1 to 189,901,978,464,768 would take you about fifteen million, ninety-five thousand, seven hundred thirty-eight 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 189901978464768 cubic inches would be around 4789.9 feet tall.

Recreational maths with 189901978464768

• 189901978464768 backwards is 867464879109981
• 189901978464768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 189901978464768's digits is 87
• More coming soon!