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4434134120 = 2351321922379
BaseRepresentation
bin1000010000100101…
…11000010001101000
3102110000121100111122
410020102320101220
533040114242440
62011554514412
7214611342503
oct41022702150
912400540448
104434134120
111975a53659
12a38b95a08
13558854900
14300c8213a
151ae42c7b5
hex1084b8468

4434134120 has 288 divisors, whose sum is σ = 12048134400. Its totient is φ = 1464832512.

The previous prime is 4434134087. The next prime is 4434134129. The reversal of 4434134120 is 214314344.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4434134120.

It is not an unprimeable number, because it can be changed into a prime (4434134129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56128241 + ... + 56128319.

It is an arithmetic number, because the mean of its divisors is an integer number (41833800).

Almost surely, 24434134120 is an apocalyptic number.

4434134120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024067200).

4434134120 is an abundant number, since it is smaller than the sum of its proper divisors (7614000280).

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

4434134120 is a wasteful number, since it uses less digits than its factorization.

4434134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4434134120 is about 66589.2943347502. The cubic root of 4434134120 is about 1642.8690261666.

Adding to 4434134120 its reverse (214314344), we get a palindrome (4648448464).

The spelling of 4434134120 in words is "four billion, four hundred thirty-four million, one hundred thirty-four thousand, one hundred twenty".