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44875425047040 = 2933572172192127
BaseRepresentation
bin10100011010000010111111…
…10001001110001000000000
312212220001022112021211121000
422031001133301032020000
521340214332303001130
6235235252523132000
712311066603140200
oct1215013761161000
9185801275254530
1044875425047040
11133316195a2655
1250491a9074000
131c069716b6ac3
14b11da709c400
1552c4a59e1260
hex28d05fc4e200

44875425047040 has 4320 divisors, whose sum is σ = 209524615280640. Its totient is φ = 9073760403456.

The previous prime is 44875425047003. The next prime is 44875425047051. The reversal of 44875425047040 is 4074052457844.

44875425047040 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 542 + 50 + 4 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 353349803457 + ... + 353349803583.

It is an arithmetic number, because the mean of its divisors is an integer number (48501068352).

Almost surely, 244875425047040 is an apocalyptic number.

44875425047040 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 44875425047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104762307640320).

44875425047040 is an abundant number, since it is smaller than the sum of its proper divisors (164649190233600).

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

44875425047040 is a wasteful number, since it uses less digits than its factorization.

44875425047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 20070400, while the sum is 54.

The spelling of 44875425047040 in words is "forty-four trillion, eight hundred seventy-five billion, four hundred twenty-five million, forty-seven thousand, forty".