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14458629072 = 243301221439
BaseRepresentation
bin11010111011100110…
…10010101111010000
31101022122110110101110
431131303102233100
5214102402112242
610350414333320
71021204214346
oct153563225720
941278413343
1014458629072
11614a579028
1229761ba240
13149563a424
149b237d996
1559952839c
hex35dcd2bd0

14458629072 has 20 divisors (see below), whose sum is σ = 37351458560. Its totient is φ = 4819543008.

The previous prime is 14458629067. The next prime is 14458629079. The reversal of 14458629072 is 27092685441.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 301221439 = 14458629072 / (1 + 4 + 4 + 5 + 8 + 6 + 2 + 9 + 0 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14458629079) 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 3 ways as a sum of consecutive naturals, for example, 150610672 + ... + 150610767.

It is an arithmetic number, because the mean of its divisors is an integer number (1867572928).

Almost surely, 214458629072 is an apocalyptic number.

14458629072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14458629072 is an abundant number, since it is smaller than the sum of its proper divisors (22892829488).

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

14458629072 is a wasteful number, since it uses less digits than its factorization.

14458629072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301221450 (or 301221444 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 14458629072 in words is "fourteen billion, four hundred fifty-eight million, six hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 301221439 602442878 903664317 1204885756 1807328634 2409771512 3614657268 4819543024 7229314536 14458629072