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14404001420040 = 2335472553900961
BaseRepresentation
bin1101000110011011000101…
…1000110101001100001000
31220000000020121212112010120
43101212301120311030020
53341443343330420130
650345035031343240
73014440403641161
oct321466130651410
956000217775116
1014404001420040
1146537803210a1
121747712b21b20
138063a359014b
1437b22bc34768
1519ea33c4c910
hexd19b1635308

14404001420040 has 64 divisors (see below), whose sum is σ = 44131408623360. Its totient is φ = 3759342213120.

The previous prime is 14404001419961. The next prime is 14404001420041. The reversal of 14404001420040 is 4002410040441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14404001420041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276944841 + ... + 1276956120.

It is an arithmetic number, because the mean of its divisors is an integer number (689553259740).

Almost surely, 214404001420040 is an apocalyptic number.

14404001420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404001420040 is an abundant number, since it is smaller than the sum of its proper divisors (29727407203320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14404001420040 is a wasteful number, since it uses less digits than its factorization.

14404001420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553901022 (or 2553901018 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14404001420040 its reverse (4002410040441), we get a palindrome (18406411460481).

The spelling of 14404001420040 in words is "fourteen trillion, four hundred four billion, one million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 2553900961 5107801922 7661702883 10215603844 12769504805 15323405766 20431207688 25539009610 30646811532 38308514415 51078019220 61293623064 76617028830 102156038440 120033345167 153234057660 240066690334 306468115320 360100035501 480133380668 600166725835 720200071002 960266761336 1200333451670 1440400142004 1800500177505 2400666903340 2880800284008 3601000355010 4801333806680 7202000710020 14404001420040