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44987927040 = 293357237359
BaseRepresentation
bin101001111001011111…
…010100101000000000
311022010021201111002000
4221321133110220000
51214113402131130
632400035224000
73151562033100
oct517137245000
9138107644060
1044987927040
111809656a4a1
128876448000
13431c574b94
14226ac09200
151284856260
hexa797d4a00

44987927040 has 960 divisors, whose sum is σ = 191446675200. Its totient is φ = 9977167872.

The previous prime is 44987926957. The next prime is 44987927057. The reversal of 44987927040 is 4072978944.

It is a happy number.

44987927040 is a `hidden beast` number, since 449 + 8 + 7 + 92 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125314381 + ... + 125314739.

It is an arithmetic number, because the mean of its divisors is an integer number (199423620).

Almost surely, 244987927040 is an apocalyptic number.

44987927040 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 44987927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95723337600).

44987927040 is an abundant number, since it is smaller than the sum of its proper divisors (146458748160).

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

44987927040 is a wasteful number, since it uses less digits than its factorization.

44987927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 44987927040 in words is "forty-four billion, nine hundred eighty-seven million, nine hundred twenty-seven thousand, forty".