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45320454144 = 21432723283
BaseRepresentation
bin101010001101010011…
…110100000000000000
311022222110102121111200
4222031103310000000
51220304014013034
632453034341200
73163040334630
oct521523640000
9138873377450
1045320454144
111824723aa89
12894988a800
134373420c94
14229d0486c0
1512a3b3ca99
hexa8d4f4000

45320454144 has 540 divisors, whose sum is σ = 158297639136. Its totient is φ = 12236488704.

The previous prime is 45320454133. The next prime is 45320454181. The reversal of 45320454144 is 44145402354.

45320454144 is a `hidden beast` number, since 4 + 53 + 20 + 4 + 541 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45320454099 and 45320454108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 546029527 + ... + 546029609.

Almost surely, 245320454144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45320454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79148819568).

45320454144 is an abundant number, since it is smaller than the sum of its proper divisors (112977184992).

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

45320454144 is an equidigital number, since it uses as much as digits as its factorization.

45320454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 45320454144 its reverse (44145402354), we get a palindrome (89465856498).

The spelling of 45320454144 in words is "forty-five billion, three hundred twenty million, four hundred fifty-four thousand, one hundred forty-four".