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4434432444 = 2232139475283
BaseRepresentation
bin1000010000101000…
…00001000110111100
3102110001011111201200
410020110001012330
533040203314234
62012005135500
7214614024321
oct41024010674
912401144650
104434432444
111976137802
12a390ba590
1355892a630
14300d1cb48
151ae48ad99
hex1085011bc

4434432444 has 36 divisors (see below), whose sum is σ = 12071511816. Its totient is φ = 1364440608.

The previous prime is 4434432437. The next prime is 4434432481. The reversal of 4434432444 is 4442344344.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×44344324442 = 39328382200799626272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4434432399 and 4434432408.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4737174 + ... + 4738109.

Almost surely, 24434432444 is an apocalyptic number.

It is an amenable number.

4434432444 is an abundant number, since it is smaller than the sum of its proper divisors (7637079372).

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

4434432444 is a wasteful number, since it uses less digits than its factorization.

4434432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475306 (or 9475301 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The square root of 4434432444 is about 66591.5343268197. The cubic root of 4434432444 is about 1642.9058688553.

Adding to 4434432444 its reverse (4442344344), we get a palindrome (8876776788).

The spelling of 4434432444 in words is "four billion, four hundred thirty-four million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 9475283 18950566 28425849 37901132 56851698 85277547 113703396 123178679 170555094 246357358 341110188 369536037 492714716 739072074 1108608111 1478144148 2217216222 4434432444