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44204110400 = 265227627569
BaseRepresentation
bin101001001010110001…
…010011001001000000
311020002122211110210002
4221022301103021000
51211012223013100
632150155255132
73123263511302
oct511261231100
9136078743702
1044204110400
111782408244a
128697a4a4a8
13422606a158
1421d4a93972
15123ab292d5
hexa4ac53240

44204110400 has 42 divisors (see below), whose sum is σ = 108769743090. Its totient is φ = 17681643520.

The previous prime is 44204110393. The next prime is 44204110409. The reversal of 44204110400 is 401140244.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15015071296 + 29189039104 = 122536^2 + 170848^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (44204110409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13812185 + ... + 13815384.

Almost surely, 244204110400 is an apocalyptic number.

44204110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44204110400 is an abundant number, since it is smaller than the sum of its proper divisors (64565632690).

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

44204110400 is a wasteful number, since it uses less digits than its factorization.

44204110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27627591 (or 27627576 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 44204110400 its reverse (401140244), we get a palindrome (44605250644).

The spelling of 44204110400 in words is "forty-four billion, two hundred four million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 27627569 55255138 110510276 138137845 221020552 276275690 442041104 552551380 690689225 884082208 1105102760 1381378450 1768164416 2210205520 2762756900 4420411040 5525513800 8840822080 11051027600 22102055200 44204110400