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44404040400 = 24352313732261
BaseRepresentation
bin101001010110101011…
…111110001011010000
311020121121000222011220
4221112223332023100
51211414413243100
632222100405040
73131242054506
oct512653761320
9136547028156
1044404040400
1117916a17855
1287329a6780
1342585cb625
142213458676
15124d46caa0
hexa56afe2d0

44404040400 has 240 divisors, whose sum is σ = 150802395648. Its totient is φ = 11149056000.

The previous prime is 44404040393. The next prime is 44404040407. The reversal of 44404040400 is 404040444.

It is an interprime number because it is at equal distance from previous prime (44404040393) and next prime (44404040407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44404040407) 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 47 ways as a sum of consecutive naturals, for example, 1360270 + ... + 1392530.

Almost surely, 244404040400 is an apocalyptic number.

44404040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44404040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75401197824).

44404040400 is an abundant number, since it is smaller than the sum of its proper divisors (106398355248).

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

44404040400 is a wasteful number, since it uses less digits than its factorization.

44404040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32350 (or 32339 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44404040400 its reverse (404040444), we get a palindrome (44808080844).

The spelling of 44404040400 in words is "forty-four billion, four hundred four million, forty thousand, four hundred".