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45341343000 = 23335311511459
BaseRepresentation
bin101010001110100011…
…011111110100011000
311100000220201212122000
4222032203133310120
51220324340434000
632455102201000
73163413025242
oct521643376430
9140026655560
1045341343000
11182580080a8
128954883160
134377855b55
1422a1b25092
1512a58b7000
hexa8e8dfd18

45341343000 has 256 divisors, whose sum is σ = 157427712000. Its totient is φ = 12072240000.

The previous prime is 45341342989. The next prime is 45341343007. The reversal of 45341343000 is 34314354.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45341343007) 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 63 ways as a sum of consecutive naturals, for example, 31076271 + ... + 31077729.

It is an arithmetic number, because the mean of its divisors is an integer number (614952000).

Almost surely, 245341343000 is an apocalyptic number.

45341343000 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 45341343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78713856000).

45341343000 is an abundant number, since it is smaller than the sum of its proper divisors (112086369000).

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

45341343000 is a wasteful number, since it uses less digits than its factorization.

45341343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 45341343000 its reverse (34314354), we get a palindrome (45375657354).

The spelling of 45341343000 in words is "forty-five billion, three hundred forty-one million, three hundred forty-three thousand".