468813643776

Names of 468813643776

• Cardinal: 468813643776 can be written as Four hundred sixty-eight billion, eight hundred thirteen million, six hundred forty-three thousand, seven hundred seventy-six.

Scientific notation

• Scientific notation: 4.68813643776 × 10¹¹

Factors of 468813643776

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 191

Divisors of 468813643776

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 167 171 192 216 228 256 288 304 334 342 384 432 456 501 512 513 576 608 668 684 768 864 912 1002 1024 1026 1152 1216 1336 1368 1503 1536 1728 1824 2004 2048 2052 2304 2432 2672 2736 3006 3072 3173 3456 3648 4008 4096 4104 4509 4608 4864 5344 5472 6012 6144 6346 6912 7296 8016 8192 8208 9018 9216 9519 9728 10688 10944 12024 12288 12692 13824 14592 16032 16384 16416 18036 18432 19038 19456 21376 21888 24048 24576 25384 27648 27889 28557 29184 32064 32768 32832 36072 36864 38076 38912 42752 43776 48096 49152 50768 55296 55778 57114 58368 64128 65664 72144 73728 76152 77824 83667 85504 85671 87552 96192 98304 101536 110592 111556 114228 116736 128256 131328 144288 147456 152304 155648 167334 171008 171342 175104 192384 203072 221184 223112 228456 233472 251001 256512 262656 288576 294912 304608 311296 334668 342016 342684 350208 384768 406144 442368 446224 456912 466944 502002 513024 525312 529891 577152 609216 622592 669336 684032 685368 700416 753003 769536 812288 884736 892448 913824 933888 1004004 1026048 1050624 1059782 1154304 1218432 1338672 1368064 1370736 1400832 1506006 1539072 1589673 1624576 1784896 1827648 1867776 2008008 2052096 2101248 2119564 2308608 2436864 2677344 2736128 2741472 2801664 3012012 3078144 3179346 3249152 3569792 3655296 4016016 4104192 4202496 4239128 4617216 4769019 4873728 5354688 5472256 5482944 5603328 6024024 6156288 6358692 6498304 7139584 7310592 8032032 8208384 8404992 8478256 9234432 9538038 9747456 10709376 10965888 12048048 12312576 12717384 12996608 14279168 14307057 14621184 16064064 16416768 16809984 16956512 18468864 19076076 19494912 21418752 21931776 24096096 24625152 25434768 25993216 28558336 28614114 29242368 32128128 33913024 36937728 38152152 38989824 42837504 43863552 48192192 49250304 50869536 51986432 57116672 57228228 58484736 64256256 67826048 73875456 76304304 77979648 85675008 87727104 96384384 101739072 103972864 114233344 114456456 116969472 128512512 135652096 147750912 152608608 155959296 171350016 175454208 192768768 203478144 228466688 228912912 233938944 257025024 271304192 305217216 311918592 342700032 350908416 385537536 406956288 456933376 457825824 467877888 514050048 542608384 610434432 685400064 701816832 771075072 813912576 913866752 915651648 935755776 1028100096 1085216768 1220868864 1370800128 1403633664 1542150144 1627825152 1831303296 2056200192 2170433536 2441737728 2741600256 2807267328 3084300288 3255650304 3662606592 4112400384 4340867072 4883475456 6168600576 6511300608 7325213184 8224800768 8681734144 9766950912 12337201152 13022601216 14650426368 17363468288 19533901824 24674402304 26045202432 29300852736 39067803648 52090404864 58601705472 78135607296 117203410944 156271214592 234406821888 468813643776
• Sum of all divisors σ(n): 1470972396000
• Sum of proper divisors (its aliquot sum) s(n): 1002158752224
• 468813643776 is an abundant number, because the sum of its proper divisors (1002158752224) is greater than itself. Its abundance is 533345108448

Bases of 468813643776

• Binary: 110110100100111011110001000000000000000₂
• Hexadecimal: 0x6D27788000
• Base-36: 5ZDBJEO0

Squares and roots of 468813643776

• 468813643776 squared (468813643776²) is 219786232590530223538176
• 468813643776 cubed (468813643776³) is 103038784552565917888788093600792576
• The square root of 468813643776 is 684699.6741462639
• The cube root of 468813643776 is 7768.4328152141

Scales and comparisons

• 468,813,643,776 seconds is equal to 14,906 years, 42 weeks, 5 days, 20 hours, 9 minutes, 36 seconds.
• To count from 1 to 468,813,643,776 would take you about twenty-nine thousand, eight hundred thirteen 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 468813643776 cubic inches would be around 647.4 feet tall.

Recreational maths with 468813643776

• 468813643776 backwards is 677346318864
• The number of decimal digits it has is: 12
• The sum of 468813643776's digits is 63
• More coming soon!