444327868320768

Names of 444327868320768

• Cardinal: 444327868320768 can be written as Four hundred forty-four trillion, three hundred twenty-seven billion, eight hundred sixty-eight million, three hundred twenty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.44327868320768 × 10¹⁴

Factors of 444327868320768

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 42262

Divisors of 444327868320768

• Number of divisors d(n): 198
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 42257 62208 82944 84514 124416 126771 169028 248832 253542 338056 380313 507084 676112 760626 1014168 1140939 1352224 1521252 2028336 2281878 2704448 3042504 3422817 4056672 4563756 5408896 6085008 6845634 8113344 9127512 10268451 10817792 12170016 13691268 16226688 18255024 20536902 21635584 24340032 27382536 32453376 36510048 41073804 43271168 48680064 54765072 64906752 73020096 82147608 97360128 109530144 129813504 146040192 164295216 194720256 219060288 292080384 328590432 389440512 438120576 584160768 657180864 876241152 1168321536 1314361728 1752482304 1785654049 2628723456 3504964608 3571308098 5257446912 5356962147 7142616196 10514893824 10713924294 14285232392 16070886441 21427848588 28570464784 32141772882 42855697176 48212659323 57140929568 64283545764 85711394352 96425318646 114281859136 128567091528 144637977969 171422788704 192850637292 228563718272 257134183056 289275955938 342845577408 385701274584 433913933907 457127436544 514268366112 578551911876 685691154816 771402549168 867827867814 914254873088 1028536732224 1157103823752 1371382309632 1542805098336 1735655735628 1828509746176 2057073464448 2314207647504 2742764619264 3085610196672 3471311471256 4114146928896 4628415295008 5485529238528 6171220393344 6942622942512 8228293857792 9256830590016 12342440786688 13885245885024 16456587715584 18513661180032 24684881573376 27770491770048 37027322360064 49369763146752 55540983540096 74054644720128 111081967080192 148109289440256 222163934160384 444327868320768
• Sum of all divisors σ(n): 1330536603916156
• Sum of proper divisors (its aliquot sum) s(n): 886208735595388
• 444327868320768 is an abundant number, because the sum of its proper divisors (886208735595388) is greater than itself. Its abundance is 441880867274620

Bases of 444327868320768

• Binary: 1100101000001110100100100110000010100110000000000₂
• Hexadecimal: 0x1941D24C14C00
• Base-36: 4DI1EKLC00

Squares and roots of 444327868320768

• 444327868320768 squared (444327868320768²) is 197427254566477747228140109824
• 444327868320768 cubed (444327868320768³) is 87722431169944667288102338626259821980024832
• The square root of 444327868320768 is 21079086.0409261577
• The cube root of 444327868320768 is 76307.6099359733

Scales and comparisons

• 444,327,868,320,768 seconds is equal to 14,128,251 years, 42 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 444,327,868,320,768 would take you about thirty-five million, three hundred twenty thousand, six hundred twenty-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 444327868320768 cubic inches would be around 6359 feet tall.

Recreational maths with 444327868320768

• 444327868320768 backwards is 867023868723444
• 444327868320768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 444327868320768's digits is 72
• More coming soon!