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14434343144 = 2313739112087
BaseRepresentation
bin11010111000101101…
…01001100011101000
31101020221202121100122
431130112221203220
5214030142440034
610344150022412
71020460615034
oct153426514350
941227677318
1014434343144
1161378a0711
12296a047a08
1314905b6260
149ad05b1c4
1559732c62e
hex35c5a98e8

14434343144 has 64 divisors (see below), whose sum is σ = 29592138240. Its totient is φ = 6560386560.

The previous prime is 14434343129. The next prime is 14434343177. The reversal of 14434343144 is 44134343441.

14434343144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6915269 + ... + 6917355.

It is an arithmetic number, because the mean of its divisors is an integer number (462377160).

Almost surely, 214434343144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14434343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796069120).

14434343144 is an abundant number, since it is smaller than the sum of its proper divisors (15157795096).

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

14434343144 is a wasteful number, since it uses less digits than its factorization.

14434343144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3086 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

Adding to 14434343144 its reverse (44134343441), we get a palindrome (58568686585).

The spelling of 14434343144 in words is "fourteen billion, four hundred thirty-four million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 911 949 1822 1898 2087 3644 3796 4174 7288 7592 8348 11843 16696 23686 27131 47372 54262 66503 94744 108524 133006 152351 217048 266012 304702 532024 609404 864539 1218808 1729078 1901257 1980563 3458156 3802514 3961126 6916312 7605028 7922252 15210056 15844504 24716341 49432682 98865364 138791761 197730728 277583522 555167044 1110334088 1804292893 3608585786 7217171572 14434343144