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4434310144 = 21011393671
BaseRepresentation
bin1000010000100111…
…00011010000000000
3102110000221021222001
410020103203100000
533040140411034
62012002353344
7214613004625
oct41023432000
912400837861
104434310144
111976063930
12a3905b854
135588b6a74
14300cca34c
151ae464a14
hex1084e3400

4434310144 has 44 divisors (see below), whose sum is σ = 9670159008. Its totient is φ = 2015590400.

The previous prime is 4434310129. The next prime is 4434310151. The reversal of 4434310144 is 4410134344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185572 + ... + 208099.

Almost surely, 24434310144 is an apocalyptic number.

4434310144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4434310144 is an abundant number, since it is smaller than the sum of its proper divisors (5235848864).

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

4434310144 is a wasteful number, since it uses less digits than its factorization.

4434310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393702 (or 393684 counting only the distinct ones).

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

The square root of 4434310144 is about 66590.6160355947. The cubic root of 4434310144 is about 1642.8907651385.

Adding to 4434310144 its reverse (4410134344), we get a palindrome (8844444488).

The spelling of 4434310144 in words is "four billion, four hundred thirty-four million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 393671 787342 1574684 3149368 4330381 6298736 8660762 12597472 17321524 25194944 34643048 50389888 69286096 100779776 138572192 201559552 277144384 403119104 554288768 1108577536 2217155072 4434310144