40905894432768

Names of 40905894432768

• Cardinal: 40905894432768 can be written as Forty trillion, nine hundred five billion, eight hundred ninety-four million, four hundred thirty-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.0905894432768 × 10¹³

Factors of 40905894432768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 207

Divisors of 40905894432768

• Number of divisors d(n): 260
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 131 142 192 213 256 262 284 384 393 426 512 524 568 768 786 852 1024 1048 1136 1536 1572 1704 2048 2096 2272 3072 3144 3408 4096 4192 4544 5041 6144 6288 6816 8384 9088 9301 10082 12288 12576 13632 15123 16768 18176 18602 20164 25152 27264 27903 30246 33536 36352 37204 40328 50304 54528 55806 60492 67072 72704 74408 80656 100608 109056 111612 120984 134144 145408 148816 161312 201216 218112 223224 241968 268288 290816 297632 322624 357911 402432 436224 446448 483936 536576 595264 645248 660371 715822 804864 872448 892896 967872 1073733 1190528 1290496 1320742 1431644 1609728 1785792 1935744 1981113 2147466 2381056 2580992 2641484 2863288 3571584 3871488 3962226 4294932 4762112 5161984 5282968 5726576 7143168 7742976 7924452 8589864 9524224 10323968 10565936 11453152 14286336 15485952 15848904 17179728 19048448 20647936 21131872 22906304 25411681 28572672 30971904 31697808 34359456 38096896 42263744 45812608 46886341 50823362 57145344 61943808 63395616 68718912 76235043 84527488 91625216 93772682 101646724 114290688 126791232 137437824 140659023 152470086 169054976 183250432 187545364 203293448 253582464 274875648 281318046 304940172 338109952 366500864 375090728 406586896 507164928 549751296 562636092 609880344 676219904 733001728 750181456 813173792 1014329856 1099502592 1125272184 1219760688 1352439808 1466003456 1500362912 1626347584 2028659712 2199005184 2250544368 2439521376 2704879616 3000725824 3252695168 3328930211 4057319424 4398010368 4501088736 4879042752 6001451648 6505390336 6657860422 8114638848 9002177472 9758085504 9986790633 12002903296 13010780672 13315720844 18004354944 19516171008 19973581266 24005806592 26021561344 26631441688 36008709888 39032342016 39947162532 48011613184 52043122688 53262883376 72017419776 78064684032 79894325064 96023226368 104086245376 106525766752 144034839552 156129368064 159788650128 192046452736 213051533504 288069679104 312258736128 319577300256 426103067008 576139358208 639154600512 852206134016 1278309201024 1704412268032 2556618402048 3408824536064 5113236804096 6817649072128 10226473608192 13635298144256 20452947216384 40905894432768
• Sum of all divisors σ(n): 111471681369840
• Sum of proper divisors (its aliquot sum) s(n): 70565786937072
• 40905894432768 is an abundant number, because the sum of its proper divisors (70565786937072) is greater than itself. Its abundance is 29659892504304

Bases of 40905894432768

• Binary: 1001010011010000100101010011101001000000000000₂
• Hexadecimal: 0x2534254E9000
• Base-36: EHZWPDWQO

Squares and roots of 40905894432768

• 40905894432768 squared (40905894432768²) is 1673292199344760056472141824
• 40905894432768 cubed (40905894432768³) is 68447514061570942851516567524846528888832
• The square root of 40905894432768 is 6395771.6057382787
• The cube root of 40905894432768 is 34455.7703693511

Scales and comparisons

• 40,905,894,432,768 seconds is equal to 1,300,680 years, 47 weeks, 3 days, 5 hours, 32 minutes, 48 seconds.
• To count from 1 to 40,905,894,432,768 would take you about three million, two hundred fifty-one thousand, seven hundred two 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 40905894432768 cubic inches would be around 2871.3 feet tall.

Recreational maths with 40905894432768

• 40905894432768 backwards is 86723449850904
• The number of decimal digits it has is: 14
• The sum of 40905894432768's digits is 69
• More coming soon!