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44214202144 = 257228197833
BaseRepresentation
bin101001001011010111…
…110010111100100000
311020010100211012001101
4221023113302330200
51211022313432034
632151155444144
73123445342300
oct511327627440
9136110735041
1044214202144
1117829845532
12869b2b6654
1342281916b8
1421d615d600
15123b96e514
hexa4b5f2f20

44214202144 has 36 divisors (see below), whose sum is σ = 101258421894. Its totient is φ = 18948943104.

The previous prime is 44214202141. The next prime is 44214202159. The reversal of 44214202144 is 44120241244.

It is a happy number.

44214202144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42688518544 + 1525683600 = 206612^2 + 39060^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (44214202141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14097349 + ... + 14100484.

Almost surely, 244214202144 is an apocalyptic number.

It is an amenable number.

44214202144 is an abundant number, since it is smaller than the sum of its proper divisors (57044219750).

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

44214202144 is a wasteful number, since it uses less digits than its factorization.

44214202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28197857 (or 28197842 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 44214202144 its reverse (44120241244), we get a palindrome (88334443388).

The spelling of 44214202144 in words is "forty-four billion, two hundred fourteen million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 28197833 56395666 112791332 197384831 225582664 394769662 451165328 789539324 902330656 1381693817 1579078648 2763387634 3158157296 5526775268 6316314592 11053550536 22107101072 44214202144