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44238288241 = 72300472
BaseRepresentation
bin101001001100110011…
…101011010101110001
311020012001010212222001
4221030303223111301
51211100000210431
632153420014001
73124160150200
oct511463532561
9136161125861
1044238288241
11178413a67a4
1286a7391301
134230175924
1421d942d237
15123db2ae61
hexa4cceb571

44238288241 has 9 divisors (see below), whose sum is σ = 51462578649. Its totient is φ = 37917270804.

The previous prime is 44238288209. The next prime is 44238288247. The reversal of 44238288241 is 14288283244.

It is a happy number.

The square root of 44238288241 is 210329.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 44238288241 - 25 = 44238288209 is a prime.

It is a super-2 number, since 2×442382882412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44238288191 and 44238288200.

It is not an unprimeable number, because it can be changed into a prime (44238288247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1457280 + ... + 1487326.

Almost surely, 244238288241 is an apocalyptic number.

44238288241 is the 210329-th square number.

44238288241 is the 105165-th centered octagonal number.

It is an amenable number.

44238288241 is a deficient number, since it is larger than the sum of its proper divisors (7224290408).

44238288241 is an frugal number, since it uses more digits than its factorization.

44238288241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60108 (or 30054 counting only the distinct ones).

The product of its digits is 786432, while the sum is 46.

The spelling of 44238288241 in words is "forty-four billion, two hundred thirty-eight million, two hundred eighty-eight thousand, two hundred forty-one".

Divisors: 1 7 49 30047 210329 1472303 902822209 6319755463 44238288241