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40444044000 = 2535373137337
BaseRepresentation
bin100101101010101001…
…110010001011100000
310212101121121022100120
4211222221302023200
51130312133402000
630325120120240
72631145462503
oct455251621340
9125347538316
1040444044000
1116174676958
127a08766080
133a770752a9
141d5955913a
1510ba99a6a0
hex96aa722e0

40444044000 has 384 divisors, whose sum is σ = 135691500672. Its totient is φ = 10528358400.

The previous prime is 40444043993. The next prime is 40444044019. The reversal of 40444044000 is 44044404.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120011832 + ... + 120012168.

It is an arithmetic number, because the mean of its divisors is an integer number (353363283).

Almost surely, 240444044000 is an apocalyptic number.

40444044000 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 40444044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67845750336).

40444044000 is an abundant number, since it is smaller than the sum of its proper divisors (95247456672).

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

40444044000 is a wasteful number, since it uses less digits than its factorization.

40444044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

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

Adding to 40444044000 its reverse (44044404), we get a palindrome (40488088404).

It can be divided in two parts, 4044404 and 4000, that added together give a palindrome (4048404).

The spelling of 40444044000 in words is "forty billion, four hundred forty-four million, forty-four thousand".