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44434312400 = 2452111085781
BaseRepresentation
bin101001011000011111…
…011100110011010000
311020200200222221120002
4221120133130303100
51212000140444100
632225101305132
73132060265202
oct513037346320
9136620887502
1044434312400
1117932013635
128740b651a8
13426196a35a
142217498772
151250e4c2d5
hexa587dccd0

44434312400 has 30 divisors (see below), whose sum is σ = 106753436502. Its totient is φ = 17773724800.

The previous prime is 44434312381. The next prime is 44434312453. The reversal of 44434312400 is 421343444.

It is a happy number.

44434312400 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 3 ways, for example, as 12874079296 + 31560233104 = 113464^2 + 177652^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55542491 + ... + 55543290.

Almost surely, 244434312400 is an apocalyptic number.

44434312400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44434312400 is an abundant number, since it is smaller than the sum of its proper divisors (62319124102).

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

44434312400 is a wasteful number, since it uses less digits than its factorization.

44434312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111085799 (or 111085788 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 44434312400 its reverse (421343444), we get a palindrome (44855655844).

The spelling of 44434312400 in words is "forty-four billion, four hundred thirty-four million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 111085781 222171562 444343124 555428905 888686248 1110857810 1777372496 2221715620 2777144525 4443431240 5554289050 8886862480 11108578100 22217156200 44434312400