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132224444040 = 233513241159023
BaseRepresentation
bin111101100100100110…
…0001110011010001000
3110122021221121201012010
41323021030032122020
54131243424202130
6140424300415520
712360434141643
oct1731114163210
9418257551163
10132224444040
1151092284937
12217618475a0
13c6129b4300
146584aaaa5a
15368d2ad0b0
hex1ec930e688

132224444040 has 192 divisors, whose sum is σ = 440013047040. Its totient is φ = 31753512960.

The previous prime is 132224444003. The next prime is 132224444069. The reversal of 132224444040 is 40444422231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132224443989 and 132224444007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751969 + ... + 910991.

It is an arithmetic number, because the mean of its divisors is an integer number (2291734620).

Almost surely, 2132224444040 is an apocalyptic number.

132224444040 is a gapful number since it is divisible by the number (10) 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 132224444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220006523520).

132224444040 is an abundant number, since it is smaller than the sum of its proper divisors (307788603000).

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

132224444040 is a wasteful number, since it uses less digits than its factorization.

132224444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159104 (or 159087 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 132224444040 its reverse (40444422231), we get a palindrome (172668866271).

The spelling of 132224444040 in words is "one hundred thirty-two billion, two hundred twenty-four million, four hundred forty-four thousand, forty".