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44142224144 = 242758889009
BaseRepresentation
bin101001000111000101…
…001110001100010000
311012221100101022210112
4221013011032030100
51210400402133034
632140105020452
73121612500014
oct510705161420
9135840338715
1044142224144
11177a2153387
12867b184728
1342162ac775
1421ca784544
1512354a27ce
hexa4714e310

44142224144 has 10 divisors (see below), whose sum is σ = 85525559310. Its totient is φ = 22071112064.

The previous prime is 44142224143. The next prime is 44142224153.

44142224144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 36907020544 + 7235203600 = 192112^2 + 85060^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 44142224144.

It is not an unprimeable number, because it can be changed into a prime (44142224143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1379444489 + ... + 1379444520.

It is an arithmetic number, because the mean of its divisors is an integer number (8552555931).

Almost surely, 244142224144 is an apocalyptic number.

It is an amenable number.

44142224144 is a deficient number, since it is larger than the sum of its proper divisors (41383335166).

44142224144 is a wasteful number, since it uses less digits than its factorization.

44142224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758889017 (or 2758889011 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

The spelling of 44142224144 in words is "forty-four billion, one hundred forty-two million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 2758889009 5517778018 11035556036 22071112072 44142224144