444400011274128

Names of 444400011274128

• Cardinal: 444400011274128 can be written as Four hundred forty-four trillion, four hundred billion, eleven million, two hundred seventy-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.44400011274128 × 10¹⁴

Factors of 444400011274128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 8283256

Divisors of 444400011274128

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 71 78 84 91 104 112 142 156 168 173 182 208 213 273 284 312 336 346 364 426 497 519 546 568 624 692 728 852 923 994 1038 1092 1136 1211 1384 1456 1491 1704 1846 1988 2076 2184 2249 2422 2768 2769 2982 3408 3633 3692 3976 4152 4368 4498 4844 5538 5964 6461 6747 7266 7384 7952 8304 8996 9688 11076 11928 12283 12922 13494 14532 14768 15743 17992 19376 19383 22152 23856 24566 25844 26988 29064 31486 35984 36849 38766 44304 47229 49132 51688 53976 58128 62972 73698 77532 85981 94458 98264 103376 107952 125944 147396 155064 159679 171962 188916 196528 251888 257943 294792 310128 319358 343924 377832 479037 515886 589584 638716 687848 755664 958074 1031772 1117753 1277432 1375696 1916148 2063544 2235506 2554864 3353259 3832296 4127088 4471012 6706518 7664592 8282987 8942024 13413036 16565974 17884048 24848961 26826072 33131948 49697922 53652144 57980909 66263896 99395844 107678831 115961818 132527792 173942727 198791688 215357662 231923636 323036493 347885454 397583376 430715324 463847272 588092077 646072986 695770908 753751817 861430648 927694544 1176184154 1292145972 1391541816 1432956751 1507503634 1722861296 1764276231 2261255451 2352368308 2584291944 2783083632 2865913502 3015007268 3528552462 4116644539 4298870253 4522510902 4704736616 5168583888 5731827004 6030014536 7057104924 7645197001 8233289078 8597740506 9045021804 9409473232 10030697257 11463654008 12060029072 12349933617 14114209848 15290394002 16466578156 17195481012 18090043608 18628437763 20061394514 22927308016 22935591003 24699867234 28228419696 30092091771 30580788004 32933156312 34390962024 36180087216 37256875526 40122789028 45871182006 49399734468 53516379007 55885313289 60184183542 61161576008 65866312624 68781924048 74513751052 80245578056 91742364012 98799468936 101739929321 107032758014 111770626578 120368367084 122323152016 130399064341 149027502104 160491156112 160549137021 183484728024 197598937872 203479858642 214065516028 223541253156 240736734168 260798128682 298055004208 305219787963 321098274042 366969456048 391197193023 406959717284 428131032056 447082506312 481473468336 521596257364 610439575926 642196548084 712179505247 782394386046 813919434568 856262064112 894165012624 1043192514728 1220879151852 1284393096168 1322619081173 1424359010494 1564788772092 1627838869136 2086385029456 2136538515741 2441758303704 2568786192336 2645238162346 2848718020988 3129577544184 3967857243519 4273077031482 4883516607408 5290476324692 5697436041976 6259155088368 7935714487038 8546154062964 9258333568211 10580952649384 11394872083952 15871428974076 17092308125928 18516667136422 21161905298768 27775000704633 31742857948152 34184616251856 37033334272844 55550001409266 63485715896304 74066668545688 111100002818532 148133337091376 222200005637064 444400011274128
• Sum of all divisors σ(n): 1441147672645632
• Sum of proper divisors (its aliquot sum) s(n): 996747661371504
• 444400011274128 is an abundant number, because the sum of its proper divisors (996747661371504) is greater than itself. Its abundance is 552347650097376

Bases of 444400011274128

• Binary: 1100101000010110111110000110011110110011110010000₂
• Hexadecimal: 0x1942DF0CF6790
• Base-36: 4DIYJON72O

Squares and roots of 444400011274128

• 444400011274128 squared (444400011274128²) is 197491370020445093505962160384
• 444400011274128 cubed (444400011274128³) is 87765167063628784059910185232835759325745152
• The square root of 444400011274128 is 21080797.2162849667
• The cube root of 444400011274128 is 76311.7395879883

Scales and comparisons

• 444,400,011,274,128 seconds is equal to 14,130,545 years, 38 weeks, 3 days, 8 minutes, 48 seconds.
• To count from 1 to 444,400,011,274,128 would take you about thirty-five million, three hundred twenty-six thousand, three hundred sixty-four 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 444400011274128 cubic inches would be around 6359.3 feet tall.

Recreational maths with 444400011274128

• 444400011274128 backwards is 821472110004444
• 444400011274128 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 444400011274128's digits is 42
• More coming soon!