993973334016

Names of 993973334016

• Cardinal: 993973334016 can be written as Nine hundred ninety-three billion, nine hundred seventy-three million, three hundred thirty-four thousand and sixteen.

Scientific notation

• Scientific notation: 9.93973334016 × 10¹¹

Factors of 993973334016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 11873

Divisors of 993973334016

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 31 32 34 39 48 51 52 62 64 68 78 93 96 102 104 124 128 136 156 186 192 204 208 221 248 256 272 312 372 384 403 408 416 442 496 512 527 544 624 663 744 768 806 816 832 884 992 1024 1054 1088 1209 1248 1326 1488 1536 1581 1612 1632 1664 1768 1984 2048 2108 2176 2418 2496 2652 2976 3072 3162 3224 3264 3328 3536 3968 4096 4216 4352 4836 4992 5304 5952 6144 6324 6448 6528 6656 6851 7072 7936 8432 8704 9672 9984 10608 11807 11904 12288 12648 12896 13056 13312 13702 14144 15872 16864 17408 19344 19968 20553 21216 23614 23808 25296 25792 26112 26624 27404 28288 31744 33728 34816 35421 38688 39936 41106 42432 47228 47616 50592 51584 52224 53248 54808 56576 63488 67456 69632 70842 77376 79872 82212 84864 94456 95232 101184 103168 104448 109616 113152 126976 134912 141684 153491 154752 159744 164424 169728 188912 190464 200719 202368 206336 208896 219232 226304 269824 283368 306982 309504 328848 339456 366017 377824 380928 401438 404736 412672 438464 452608 460473 539648 566736 602157 613964 619008 657696 678912 732034 755648 802876 809472 825344 876928 905216 920946 1079296 1098051 1133472 1204314 1227928 1238016 1315392 1357824 1464068 1511296 1605752 1618944 1650688 1753856 1841892 2158592 2196102 2266944 2408628 2455856 2476032 2609347 2630784 2715648 2928136 3022592 3211504 3237888 3507712 3683784 4392204 4533888 4758221 4817256 4911712 4952064 5218694 5261568 5856272 6045184 6222289 6423008 6475776 7015424 7367568 7828041 8784408 9067776 9516442 9634512 9823424 10437388 10523136 11712544 12090368 12444578 12846016 14030848 14274663 14735136 15656082 17568816 18135552 18666867 19032884 19269024 19646848 20874776 21046272 23425088 24180736 24889156 25692032 28061696 28549326 29470272 31312164 35137632 36271104 37333734 38065768 38538048 39293696 41749552 42092544 46850176 48361472 49778312 51384064 57098652 58940544 62624328 70275264 72542208 74667468 76131536 77076096 78587392 80889757 83499104 84185088 93700352 99556624 102768128 114197304 117881088 125248656 140550528 145084416 149334936 152263072 154152192 157174784 161779514 166998208 187400704 199113248 205536256 228394608 235762176 242669271 250497312 281101056 298669872 304526144 308304384 314349568 323559028 333996416 374801408 398226496 411072512 456789216 471524352 485338542 500994624 562202112 597339744 609052288 616608768 628699136 647118056 667992832 749602816 796452992 822145024 913578432 943048704 970677084 1001989248 1124404224 1194679488 1218104576 1233217536 1294236112 1335985664 1499205632 1592905984 1827156864 1886097408 1941354168 2003978496 2248808448 2389358976 2436209152 2466435072 2588472224 2671971328 3185811968 3654313728 3882708336 4007956992 4497616896 4778717952 4872418304 5176944448 5343942656 6371623936 7308627456 7765416672 8015913984 9557435904 9744836608 10353888896 10687885312 12743247872 14617254912 15530833344 16031827968 19114871808 19489673216 20707777792 25486495744 29234509824 31061666688 32063655936 38229743616 41415555584 58469019648 62123333376 76459487232 82831111168 124246666752 165662222336 248493333504 331324444672 496986667008 993973334016
• Sum of all divisors σ(n): 3119778643968
• Sum of proper divisors (its aliquot sum) s(n): 2125805309952
• 993973334016 is an abundant number, because the sum of its proper divisors (2125805309952) is greater than itself. Its abundance is 1131831975936

Bases of 993973334016

• Binary: 1110011101101101011011010111000000000000₂
• Hexadecimal: 0xE76D6D7000
• Base-36: COMI251C

Squares and roots of 993973334016

• 993973334016 squared (993973334016²) is 987982988734882702688256
• 993973334016 cubed (993973334016³) is 982028745263903529909734702208516096
• The square root of 993973334016 is 996982.1131875937
• The cube root of 993973334016 is 9979.8706213859

Scales and comparisons

• 993,973,334,016 seconds is equal to 31,605 years, 14 weeks, 2 days, 23 hours, 53 minutes, 36 seconds.
• To count from 1 to 993,973,334,016 would take you about sixty-three thousand, two hundred ten 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 993973334016 cubic inches would be around 831.7 feet tall.

Recreational maths with 993973334016

• 993973334016 backwards is 610433379399
• The number of decimal digits it has is: 12
• The sum of 993973334016's digits is 57
• More coming soon!