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14000375625 = 354191632411
BaseRepresentation
bin11010000100111110…
…01100011101001001
31100010201011202211120
431002133030131021
5212133044010000
610233124345453
71003641141435
oct150237143511
940121152746
1014000375625
115a34935475
122868845289
131421710b42
1496b5739c5
1556e1a96a0
hex3427cc749

14000375625 has 80 divisors (see below), whose sum is σ = 24715088640. Its totient is φ = 7027560000.

The previous prime is 14000375621. The next prime is 14000375689. The reversal of 14000375625 is 52657300041.

14000375625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14000375625 - 22 = 14000375621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14000375621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5805670 + ... + 5808080.

It is an arithmetic number, because the mean of its divisors is an integer number (308938608).

Almost surely, 214000375625 is an apocalyptic number.

14000375625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14000375625 is a deficient number, since it is larger than the sum of its proper divisors (10714713015).

14000375625 is a wasteful number, since it uses less digits than its factorization.

14000375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 14000375625 its reverse (52657300041), we get a palindrome (66657675666).

The spelling of 14000375625 in words is "fourteen billion, three hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 163 285 375 475 489 625 815 1425 1875 2375 2411 2445 3097 4075 7125 7233 9291 11875 12055 12225 15485 20375 35625 36165 45809 46455 60275 61125 77425 101875 137427 180825 229045 232275 301375 305625 387125 392993 687135 904125 1145225 1161375 1178979 1506875 1935625 1964965 3435675 4520625 5726125 5806875 5894895 7466867 9824825 17178375 22400601 28630625 29474475 37334335 49124125 85891875 112003005 147372375 186671675 245620625 560015025 736861875 933358375 2800075125 4666791875 14000375625