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14488936900 = 2252120372
BaseRepresentation
bin11010111111001101…
…11010000111000100
31101101202111020220121
431133212322013010
5214133131440100
610353420111324
71022022634354
oct153746720704
941352436817
1014488936900
116165699819
122984395544
13149b9bc559
149b63ccb64
1559c01351a
hex35f9ba1c4

14488936900 has 27 divisors (see below), whose sum is σ = 31443605319. Its totient is φ = 5795093280.

The previous prime is 14488936883. The next prime is 14488936961. The reversal of 14488936900 is 963988441.

It is a happy number.

The square root of 14488936900 is 120370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7991287236 + 6497649664 = 89394^2 + 80608^2 .

It is a super-2 number, since 2×144889369002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1197682 + ... + 1209718.

Almost surely, 214488936900 is an apocalyptic number.

14488936900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14488936900 is the 120370-th square number.

It is an amenable number.

14488936900 is an abundant number, since it is smaller than the sum of its proper divisors (16954668419).

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

14488936900 is an frugal number, since it uses more digits than its factorization.

14488936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24088 (or 12044 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 14488936900 in words is "fourteen billion, four hundred eighty-eight million, nine hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12037 24074 48148 60185 120370 240740 300925 601850 1203700 144889369 289778738 579557476 724446845 1448893690 2897787380 3622234225 7244468450 14488936900