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4432144321 = 112341479091
BaseRepresentation
bin1000010000010110…
…10010011111000001
3102102212212021000101
410020023102133001
533034112104241
62011444122401
7214555414363
oct41013223701
912385767011
104432144321
1119749146a0
12a38396401
13558309007
143008c4d33
151ae187e31
hex1082d27c1

4432144321 has 32 divisors (see below), whose sum is σ = 5278887936. Its totient is φ = 3679632000.

The previous prime is 4432144319. The next prime is 4432144333. The reversal of 4432144321 is 1234412344.

4432144321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4432144321 - 21 = 4432144319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4432144321.

It is not an unprimeable number, because it can be changed into a prime (4432144361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482986 + ... + 492076.

It is an arithmetic number, because the mean of its divisors is an integer number (164965248).

Almost surely, 24432144321 is an apocalyptic number.

4432144321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4432144321 is a deficient number, since it is larger than the sum of its proper divisors (846743615).

4432144321 is a wasteful number, since it uses less digits than its factorization.

4432144321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9213.

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

The square root of 4432144321 is about 66574.3518256092. The cubic root of 4432144321 is about 1642.6232458813.

Adding to 4432144321 its reverse (1234412344), we get a palindrome (5666556665).

The spelling of 4432144321 in words is "four billion, four hundred thirty-two million, one hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 11 23 41 47 253 451 517 943 1081 1927 9091 10373 11891 21197 44321 100001 209093 372731 427277 487531 2300023 4100041 4700047 8572813 9827371 17518357 94300943 108101081 192701927 402922211 4432144321