450528019415040

Names of 450528019415040

• Cardinal: 450528019415040 can be written as Four hundred fifty trillion, five hundred twenty-eight billion, nineteen million, four hundred fifteen thousand and forty.

Scientific notation

• Scientific notation: 4.5052801941504 × 10¹⁴

Factors of 450528019415040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 31001

Divisors of 450528019415040

• Number of divisors d(n): 544
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1024 1120 1280 1344 1536 1680 1792 1920 2048 2240 2281 2560 2688 3072 3360 3584 3840 4096 4480 4562 5120 5376 6144 6720 6843 7168 7680 8192 8960 9124 10240 10752 11405 12288 13440 13686 14336 15360 15967 16384 17920 18248 20480 21504 22810 24576 26880 27372 28672 28703 30720 31934 32768 34215 35840 36496 40960 43008 45620 47901 49152 53760 54744 57344 57406 61440 63868 65536 68430 71680 72992 79835 81920 86016 86109 91240 95802 98304 107520 109488 114688 114812 122880 127736 136860 143360 143515 145984 159670 163840 172032 172218 182480 191604 196608 200921 215040 218976 229376 229624 239505 245760 255472 273720 286720 287030 291968 319340 327680 344064 344436 364960 383208 401842 430080 430545 437952 458752 459248 479010 491520 510944 547440 573440 574060 583936 602763 638680 688128 688872 729920 766416 803684 860160 861090 875904 918496 958020 983040 1004605 1021888 1094880 1146880 1148120 1167872 1205526 1277360 1376256 1377744 1459840 1532832 1607368 1720320 1722180 1751808 1836992 1916040 2009210 2043776 2189760 2293760 2296240 2335744 2411052 2554720 2755488 2919680 3013815 3065664 3214736 3440640 3444360 3503616 3673984 3832080 4018420 4087552 4379520 4592480 4671488 4822104 5109440 5510976 5839360 6027630 6131328 6429472 6881280 6888720 7007232 7347968 7664160 8036840 8175104 8759040 9184960 9342976 9644208 10218880 11021952 11678720 12055260 12262656 12858944 13777440 14014464 14695936 15328320 16073680 16350208 17518080 18369920 18685952 19288416 20437760 22043904 23357440 24110520 24525312 25717888 27554880 28028928 29391872 30656640 32147360 32700416 35036160 36739840 37371904 38576832 40875520 44087808 46714880 48221040 49050624 51435776 55109760 56057856 58783744 61313280 64294720 65400832 65471543 70072320 73479680 74743808 77153664 81751040 88175616 93429760 96442080 98101248 102871552 110219520 112115712 117567488 122626560 128589440 130801664 130943086 140144640 146959360 149487616 154307328 163502080 176351232 186859520 192884160 196202496 196414629 205743104 220439040 224231424 235134976 245253120 257178880 261603328 261886172 280289280 293918720 308614656 327004160 327357715 352702464 373719040 385768320 392404992 392829258 411486208 440878080 448462848 458300801 470269952 490506240 514357760 523206656 523772344 560578560 587837440 617229312 654008320 654715430 705404928 747438080 771536640 784809984 785658516 822972416 881756160 916601602 940539904 981012480 982073145 1028715520 1046413312 1047544688 1121157120 1175674880 1234458624 1308016640 1309430860 1374902403 1410809856 1543073280 1569619968 1571317032 1645944832 1763512320 1833203204 1881079808 1962024960 1964146290 2057431040 2095089376 2242314240 2291504005 2351349760 2468917248 2616033280 2618861720 2749804806 2821619712 3086146560 3139239936 3142634064 3291889664 3527024640 3666406408 3924049920 3928292580 4114862080 4190178752 4583008010 4702699520 4937834496 5232066560 5237723440 5499609612 5643239424 6172293120 6285268128 6583779328 6874512015 7054049280 7332812816 7848099840 7856585160 8229724160 8380357504 9166016020 9405399040 9875668992 10475446880 10999219224 12344586240 12570536256 13167558656 13749024030 14108098560 14665625632 15696199680 15713170320 16459448320 16760715008 18332032040 19751337984 20950893760 21998438448 24689172480 25141072512 27498048060 28216197120 29331251264 31426340640 32918896640 33521430016 36664064080 39502675968 41901787520 43996876896 49378344960 50282145024 54996096120 58662502528 62852681280 65837793280 67042860032 73328128160 83803575040 87993753792 98756689920 100564290048 109992192240 117325005056 125705362560 134085720064 146656256320 167607150080 175987507584 197513379840 201128580096 219984384480 234650010112 251410725120 268171440128 293312512640 335214300160 351975015168 402257160192 439968768960 469300020224 502821450240 536342880256 586625025280 670428600320 703950030336 804514320384 879937537920 938600040448 1005642900480 1072685760512 1173250050560 1340857200640 1407900060672 1609028640768 1759875075840 1877200080896 2011285800960 2145371521024 2346500101120 2681714401280 2815800121344 3218057281536 3519750151680 3754400161792 4022571601920 4290743042048 4693000202240 5363428802560 5631600242688 6436114563072 7039500303360 7508800323584 8045143203840 9386000404480 10726857605120 11263200485376 12872229126144 14079000606720 15017600647168 16090286407680 18772000808960 21453715210240 22526400970752 28158001213440 30035201294336 32180572815360 37544001617920 45052801941504 56316002426880 64361145630720 75088003235840 90105603883008 112632004853760 150176006471680 225264009707520 450528019415040
• Sum of all divisors σ(n): 1648412514717696
• Sum of proper divisors (its aliquot sum) s(n): 1197884495302656
• 450528019415040 is an abundant number, because the sum of its proper divisors (1197884495302656) is greater than itself. Its abundance is 747356475887616

Bases of 450528019415040

• Binary: 1100110011100000010111010100011110000000000000000₂
• Hexadecimal: 0x199C0BA8F0000
• Base-36: 4FP5PQGYDC

Squares and roots of 450528019415040

• 450528019415040 squared (450528019415040²) is 202975496278038659183778201600
• 450528019415040 cubed (450528019415040³) is 91446148327929580302720915209865935192064000
• The square root of 450528019415040 is 21225645.3238774345
• The cube root of 450528019415040 is 76660.9038394791

Scales and comparisons

• 450,528,019,415,040 seconds is equal to 14,325,397 years, 23 weeks, 3 hours, 44 minutes.
• To count from 1 to 450,528,019,415,040 would take you about thirty-five million, eight hundred thirteen thousand, four hundred ninety-three 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 450528019415040 cubic inches would be around 6388.4 feet tall.

Recreational maths with 450528019415040

• 450528019415040 backwards is 040514910825054
• 450528019415040 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 450528019415040's digits is 48
• More coming soon!