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45324332240 = 24511536189179
BaseRepresentation
bin101010001101100010…
…100110110011010000
311022222201201122020212
4222031202212303100
51220311012112430
632453253423252
73163115316215
oct521542466320
9138881648225
1045324332240
1118249449720
12894b03ab28
13437417b205
14229d777b0c
1512a4156b95
hexa8d8a6cd0

45324332240 has 320 divisors, whose sum is σ = 121058323200. Its totient is φ = 15638937600.

The previous prime is 45324332237. The next prime is 45324332297. The reversal of 45324332240 is 4223342354.

It is a junction number, because it is equal to n+sod(n) for n = 45324332197 and 45324332206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253208471 + ... + 253208649.

It is an arithmetic number, because the mean of its divisors is an integer number (378307260).

Almost surely, 245324332240 is an apocalyptic number.

45324332240 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 45324332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60529161600).

45324332240 is an abundant number, since it is smaller than the sum of its proper divisors (75733990960).

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

45324332240 is a wasteful number, since it uses less digits than its factorization.

45324332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 45324332240 its reverse (4223342354), we get a palindrome (49547674594).

The spelling of 45324332240 in words is "forty-five billion, three hundred twenty-four million, three hundred thirty-two thousand, two hundred forty".