450533327305152

Names of 450533327305152

• Cardinal: 450533327305152 can be written as Four hundred fifty trillion, five hundred thirty-three billion, three hundred twenty-seven million, three hundred five thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.50533327305152 × 10¹⁴

Factors of 450533327305152

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 6117

Divisors of 450533327305152

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 991 1092 1248 1344 1456 1982 2184 2496 2912 2973 3964 4368 5101 5824 5946 6937 7928 8736 10202 11892 12883 13874 15303 15856 17472 20404 20811 23784 25766 27748 30606 31712 35707 38649 40808 41622 47568 51532 55496 61212 63424 66313 71414 77298 81616 83244 90181 95136 103064 107121 110992 122424 132626 142828 154596 163232 166488 180362 190272 198939 206128 214242 221984 244848 265252 270543 285656 309192 326464 332976 360724 397878 412256 428484 443968 464191 489696 530504 541086 571312 618384 665952 721448 795756 824512 856968 928382 979392 1061008 1082172 1142624 1236768 1331904 1392573 1442896 1591512 1713936 1856764 2122016 2164344 2285248 2473536 2785146 2885792 3183024 3427872 3713528 4244032 4328688 5055091 5570292 5771584 6366048 6855744 7427056 8657376 10110182 11140584 12732096 14854112 15165273 17314752 20220364 22281168 26020201 29708224 30330546 35385637 40440728 44562336 52040402 60661092 65716183 70771274 78060603 80881456 89124672 104080804 106156911 121322184 131432366 141542548 156121206 161762912 182141407 197148549 208161608 212313822 242644368 262864732 283085096 312242412 323525824 338262613 364282814 394297098 416323216 424627644 460013281 485288736 525729464 546424221 566170192 624484824 676525226 728565628 788594196 832646432 849255288 920026562 970577472 1014787839 1051458928 1092848442 1132340384 1248969648 1353050452 1380039843 1457131256 1577188392 1665292864 1698510576 1840053124 2029575678 2102917856 2185696884 2264680768 2367838291 2497939296 2706100904 2760079686 2914262512 3154376784 3397021152 3680106248 4059151356 4205835712 4371393768 4735676582 4995878592 5412201808 5520159372 5828525024 6308753568 6794042304 7103514873 7360212496 8118302712 8742787536 9471353164 10824403616 11040318744 11657050048 12617507136 14207029746 14720424992 16236605424 17485575072 18942706328 21648807232 22080637488 25786019191 28414059492 29440849984 32473210848 34971150144 37885412656 44161274976 51572038382 56828118984 64946421696 75770825312 77358057573 88322549952 103144076764 113656237968 151541650624 154716115146 180502134337 206288153528 227312475936 309432230292 335218249483 361004268674 412576307056 454624951872 541506403011 618864460584 670436498966 722008537348 825152614112 1005654748449 1083012806022 1237728921168 1340872997932 1444017074696 1650305228224 2011309496898 2166025612044 2346527746381 2475457842336 2681745995864 2888034149392 4022618993796 4332051224088 4693055492762 4950915684672 5363491991728 5776068298784 7039583239143 8045237987592 8664102448176 9386110985524 10726983983456 11552136597568 14079166478286 16090475975184 17328204896352 18772221971048 21453967966912 28158332956572 32180951950368 34656409792704 37544443942096 56316665913144 64361903900736 75088887884192 112633331826288 150177775768384 225266663652576 450533327305152
• Sum of all divisors σ(n): 1468889754372096
• Sum of proper divisors (its aliquot sum) s(n): 1018356427066944
• 450533327305152 is an abundant number, because the sum of its proper divisors (1018356427066944) is greater than itself. Its abundance is 567823099761792

Bases of 450533327305152

• Binary: 1100110011100000111110110111011101111100111000000₂
• Hexadecimal: 0x199C1F6EEF9C0
• Base-36: 4FP85INGLC

Squares and roots of 450533327305152

• 450533327305152 squared (450533327305152²) is 202980279012651220694525743104
• 450533327305152 cubed (450533327305152³) is 91449380480897867651384479025168346567671808
• The square root of 450533327305152 is 21225770.3583439345
• The cube root of 450533327305152 is 76661.2048981169

Scales and comparisons

• 450,533,327,305,152 seconds is equal to 14,325,566 years, 11 weeks, 2 days, 1 hour, 39 minutes, 12 seconds.
• To count from 1 to 450,533,327,305,152 would take you about thirty-five million, eight hundred thirteen thousand, nine hundred fifteen 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 450533327305152 cubic inches would be around 6388.4 feet tall.

Recreational maths with 450533327305152

• 450533327305152 backwards is 251503723335054
• 450533327305152 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 450533327305152's digits is 48
• More coming soon!