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14439386896 = 2411227312
BaseRepresentation
bin11010111001010011…
…11000111100010000
31101021022020212002021
431130221320330100
5214032440340041
610344450101224
71020551522614
oct153451707420
941238225067
1014439386896
11613a726100
12296b87a814
131491660c1c
149ad9b1344
155979c6cd1
hex35ca78f10

14439386896 has 45 divisors (see below), whose sum is σ = 30762086439. Its totient is φ = 6560954400.

The previous prime is 14439386893. The next prime is 14439386977. The reversal of 14439386896 is 69868393441.

The square root of 14439386896 is 120164.

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

14439386896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14439386891) 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 8 ways as a sum of consecutive naturals, for example, 5285851 + ... + 5288581.

Almost surely, 214439386896 is an apocalyptic number.

14439386896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14439386896 is the 120164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14439386896

14439386896 is an abundant number, since it is smaller than the sum of its proper divisors (16322699543).

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

14439386896 is an frugal number, since it uses more digits than its factorization.

14439386896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 2744 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 61.

The spelling of 14439386896 in words is "fourteen billion, four hundred thirty-nine million, three hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2731 5462 10924 21848 30041 43696 60082 120164 240328 330451 480656 660902 1321804 2643608 5287216 7458361 14916722 29833444 59666888 82041971 119333776 164083942 328167884 656335768 902461681 1312671536 1804923362 3609846724 7219693448 14439386896