40953768216400

Names of 40953768216400

• Cardinal: 40953768216400 can be written as Forty trillion, nine hundred fifty-three billion, seven hundred sixty-eight million, two hundred sixteen thousand, four hundred.

Scientific notation

• Scientific notation: 4.09537682164 × 10¹³

Factors of 40953768216400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 95959

Divisors of 40953768216400

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 130 136 170 200 208 221 260 272 325 340 400 425 442 520 650 680 850 884 1040 1105 1300 1360 1700 1768 2210 2600 3400 3536 4420 5101 5200 5525 6800 8840 10202 11050 17680 20404 22100 25505 40808 44200 51010 66313 81616 86717 88400 90821 102020 127525 132626 173434 181642 204040 255050 265252 331565 346868 363284 408080 433585 454105 510100 530504 663130 693736 726568 867170 908210 1020200 1061008 1127321 1180673 1326260 1387472 1453136 1543957 1657825 1734340 1816420 2040400 2167925 2254642 2270525 2361346 2652520 3087914 3315650 3468680 3632840 4335850 4509284 4541050 4722692 5305040 5636605 5903365 6175828 6631300 6937360 7265680 7719785 8671700 9018568 9082100 9445384 11273210 11806730 12351656 13262600 15439570 17343400 18037136 18164200 18890768 20071441 22546420 23613460 24703312 26525200 28183025 29516825 30879140 34686800 36328400 38598925 40142882 45092840 47226920 56366050 59033650 61758280 77197850 80285764 90185680 94453840 100357205 112732100 118067300 123516560 154395700 160571528 200714410 225464200 236134600 308791400 321143056 401428820 450928400 463277921 472269200 501786025 617582800 802857640 926555842 1003572050 1605715280 1853111684 2007144100 2316389605 3706223368 4014288200 4632779210 6022612973 7412446736 7875724657 8028576400 9265558420 11581948025 12045225946 15751449314 18531116840 23163896050 24090451892 30113064865 31502898628 37062233680 39378623285 46327792100 48180903784 60226129730 63005797256 78757246570 92655584200 96361807568 102384420541 120452259460 126011594512 150565324325 157514493140 185311168400 196893116425 204768841082 240904518920 301130648650 315028986280 393786232850 409537682164 481809037840 511922102705 602261297300 630057972560 787572465700 819075364328 1023844205410 1204522594600 1575144931400 1638150728656 2047688410820 2409045189200 2559610513525 3150289862800 4095376821640 5119221027050 8190753643280 10238442054100 20476884108200 40953768216400
• Sum of all divisors σ(n): 112216170549168
• Sum of proper divisors (its aliquot sum) s(n): 71262402332768
• 40953768216400 is an abundant number, because the sum of its proper divisors (71262402332768) is greater than itself. Its abundance is 30308634116368

Bases of 40953768216400

• Binary: 1001010011111101001010110011101000011101010000₂
• Hexadecimal: 0x253F4ACE8750
• Base-36: EILWG78LS

Squares and roots of 40953768216400

• 40953768216400 squared (40953768216400²) is 1677211131122614837228960000
• 40953768216400 cubed (40953768216400³) is 68688115913961636372166441497626944000000
• The square root of 40953768216400 is 6399513.1233868097
• The cube root of 40953768216400 is 34469.2067785679

Scales and comparisons

• 40,953,768,216,400 seconds is equal to 1,302,203 years, 7 weeks, 5 days, 22 hours, 46 minutes, 40 seconds.
• To count from 1 to 40,953,768,216,400 would take you about three million, two hundred fifty-five thousand, five hundred seven 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 40953768216400 cubic inches would be around 2872.4 feet tall.

Recreational maths with 40953768216400

• 40953768216400 backwards is 00461286735904
• The number of decimal digits it has is: 14
• The sum of 40953768216400's digits is 55
• More coming soon!