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45170442240 = 214357211231
BaseRepresentation
bin101010000100010111…
…100100000000000000
311022121000011012212020
4222010113210000000
51220002113122430
632430115201440
73156236265300
oct520427440000
9138530135766
1045170442240
111817a59a900
1289075a6280
13434b319841
142287159600
1512958a9b10
hexa845e4000

45170442240 has 1080 divisors, whose sum is σ = 190776289536. Its totient is φ = 9083289600.

The previous prime is 45170442227. The next prime is 45170442269. The reversal of 45170442240 is 4224407154.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1457111025 + ... + 1457111055.

Almost surely, 245170442240 is an apocalyptic number.

45170442240 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 45170442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95388144768).

45170442240 is an abundant number, since it is smaller than the sum of its proper divisors (145605847296).

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

45170442240 is a wasteful number, since it uses less digits than its factorization.

45170442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 33.

Adding to 45170442240 its reverse (4224407154), we get a palindrome (49394849394).

The spelling of 45170442240 in words is "forty-five billion, one hundred seventy million, four hundred forty-two thousand, two hundred forty".