166948438171008

Names of 166948438171008

• Cardinal: 166948438171008 can be written as One hundred sixty-six trillion, nine hundred forty-eight billion, four hundred thirty-eight million, one hundred seventy-one thousand and eight.

Scientific notation

• Scientific notation: 1.66948438171008 × 10¹⁴

Factors of 166948438171008

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1218

Divisors of 166948438171008

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 312 348 377 384 416 464 624 696 754 832 841 928 1131 1171 1248 1392 1508 1664 1682 1856 2262 2342 2496 2523 2784 3016 3364 3513 3712 4524 4684 4992 5046 5568 6032 6728 7026 9048 9368 10092 10933 11136 12064 13456 14052 15223 18096 18736 20184 21866 24128 24389 26912 28104 30446 32799 33959 36192 37472 40368 43732 45669 48256 48778 53824 56208 60892 65598 67918 72384 73167 74944 80736 87464 91338 97556 101877 107648 112416 121784 131196 135836 144768 146334 149888 161472 174928 182676 195112 203754 224832 243568 262392 271672 292668 317057 322944 349856 365352 390224 407508 441467 449664 487136 524784 543344 585336 634114 699712 730704 780448 815016 882934 951171 974272 984811 1049568 1086688 1170672 1268228 1324401 1371241 1399424 1461408 1560896 1630032 1765868 1902342 1948544 1969622 2099136 2173376 2341344 2536456 2648802 2742482 2922816 2954433 3121792 3260064 3531736 3804684 3939244 4113723 4198272 4346752 4682688 5072912 5297604 5484964 5845632 5908866 6520128 7063472 7609368 7878488 8227446 9365376 10145824 10595208 10969928 11817732 12802543 13040256 14126944 15218736 15756976 16454892 17826133 20291648 21190416 21939856 23635464 25605086 28253888 28559519 30437472 31513952 32909784 35652266 38407629 39765989 40583296 42380832 43879712 47270928 51210172 53478399 56507776 57119038 60874944 63027904 65819568 71304532 76815258 79531978 84761664 85678557 87759424 94541856 102420344 106956798 114238076 119297967 121749888 126055808 131639136 142609064 153630516 159063956 169523328 171357114 175518848 189083712 204840688 213913596 228476152 238595934 263278272 285218128 307261032 318127912 342714228 371273747 378167424 409681376 427827192 456952304 477191868 516957857 526556544 570436256 614522064 636255824 685428456 742547494 819362752 855654384 913904608 954383736 1033915714 1113821241 1140872512 1153213681 1229044128 1272511648 1370856912 1485094988 1550873571 1638725504 1711308768 1827809216 1908767472 2067831428 2227642482 2281745024 2306427362 2458088256 2545023296 2741713824 2970189976 3101747142 3422617536 3459641043 3655618432 3817534944 4135662856 4455284964 4612854724 4916176512 5090046592 5483427648 5940379952 6203494284 6845235072 6919282086 7635069888 8271325712 8910569928 9225709448 10966855296 11880759904 12406988568 13838564172 14991777853 15270139776 16542651424 17821139856 18451418896 23761519808 24813977136 27677128344 29983555706 33085302848 33443196749 35642279712 36902837792 44975333559 47523039616 49627954272 55354256688 59967111412 66170605696 66886393498 71284559424 73805675584 89950667118 99255908544 100329590247 110708513376 119934222824 133772786996 142569118848 147611351168 179901334236 198511817088 200659180494 221417026752 239868445648 267545573992 359802668472 401318360988 434761557737 442834053504 479736891296 535091147984 719605336944 802636721976 869523115474 959473782592 1070182295968 1304284673211 1439210673888 1605273443952 1739046230948 1918947565184 2140364591936 2608569346422 2878421347776 3210546887904 3478092461896 4280729183872 5217138692844 5756842695552 6421093775808 6956184923792 10434277385688 12842187551616 13912369847584 20868554771376 27824739695168 41737109542752 55649479390336 83474219085504 166948438171008
• Sum of all divisors σ(n): 495046935986400
• Sum of proper divisors (its aliquot sum) s(n): 328098497815392
• 166948438171008 is an abundant number, because the sum of its proper divisors (328098497815392) is greater than itself. Its abundance is 161150059644384

Bases of 166948438171008

• Binary: 100101111101011010110110010110100101110110000000₂
• Hexadecimal: 0x97D6B65A5D80
• Base-36: 1N6F1XLTHC

Squares and roots of 166948438171008

• 166948438171008 squared (166948438171008²) is 27871781007738881000251736064
• 166948438171008 cubed (166948438171008³) is 4653150308286369621431315504764116912832512
• The square root of 166948438171008 is 12920852.8422472175
• The cube root of 166948438171008 is 55063.1163211047

Scales and comparisons

• 166,948,438,171,008 seconds is equal to 5,308,443 years, 48 weeks, 1 day, 22 hours, 36 minutes, 48 seconds.
• To count from 1 to 166,948,438,171,008 would take you about thirteen million, two hundred seventy-one thousand, one hundred nine 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 166948438171008 cubic inches would be around 4588.6 feet tall.

Recreational maths with 166948438171008

• 166948438171008 backwards is 800171834849661
• The number of decimal digits it has is: 15
• The sum of 166948438171008's digits is 66
• More coming soon!