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44400422440 = 2351129173641
BaseRepresentation
bin101001010110011110…
…001010111000101000
311020121100020011021101
4221112132022320220
51211413002004230
632221451051144
73131166235513
oct512636127050
9136540204241
1044400422440
1117914976600
128731740ab4
13425793291a
142212b95d7a
15124cea5aca
hexa5678ae28

44400422440 has 48 divisors (see below), whose sum is σ = 109808494740. Its totient is φ = 16145606400.

The previous prime is 44400422413. The next prime is 44400422459. The reversal of 44400422440 is 4422400444.

It can be written as a sum of positive squares in 2 ways, for example, as 39930430276 + 4469992164 = 199826^2 + 66858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44400422399 and 44400422408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4581981 + ... + 4591660.

Almost surely, 244400422440 is an apocalyptic number.

44400422440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44400422440 is an abundant number, since it is smaller than the sum of its proper divisors (65408072300).

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

44400422440 is a wasteful number, since it uses less digits than its factorization.

44400422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173674 (or 9173659 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44400422440 its reverse (4422400444), we get a palindrome (48822822884).

The spelling of 44400422440 in words is "forty-four billion, four hundred million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 9173641 18347282 36694564 45868205 73389128 91736410 100910051 183472820 201820102 366945640 403640204 504550255 807280408 1009100510 1110010561 2018201020 2220021122 4036402040 4440042244 5550052805 8880084488 11100105610 22200211220 44400422440