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14433004144 = 2413241499577
BaseRepresentation
bin11010111000100011…
…00010101001110000
31101020212020120121001
431130101202221300
5214024322113034
610344101211344
71020443340166
oct153421425160
941225216531
1014433004144
1161370666a9
122969700b54
131490237950
149acbcd236
15597165a14
hex35c462a70

14433004144 has 80 divisors (see below), whose sum is σ = 30353092000. Its totient is φ = 6608977920.

The previous prime is 14433004139. The next prime is 14433004147. The reversal of 14433004144 is 44140033441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14433004147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25013584 + ... + 25014160.

It is an arithmetic number, because the mean of its divisors is an integer number (379413650).

Almost surely, 214433004144 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 14433004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176546000).

14433004144 is an abundant number, since it is smaller than the sum of its proper divisors (15920087856).

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

14433004144 is a wasteful number, since it uses less digits than its factorization.

14433004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14433004144 its reverse (44140033441), we get a palindrome (58573037585).

The spelling of 14433004144 in words is "fourteen billion, four hundred thirty-three million, four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 482 499 577 964 998 1154 1928 1996 2308 3133 3856 3992 4616 6266 6487 7501 7984 9232 12532 12974 15002 25064 25948 30004 50128 51896 60008 103792 120016 120259 139057 240518 278114 287923 481036 556228 575846 962072 1112456 1151692 1563367 1807741 1924144 2224912 2303384 3126734 3615482 3742999 4606768 6253468 7230964 7485998 12506936 14461928 14971996 25013872 28923856 29943992 59887984 69389443 138778886 277557772 555115544 902062759 1110231088 1804125518 3608251036 7216502072 14433004144