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44142132424 = 2313598980831
BaseRepresentation
bin101001000111000100…
…110111110011001000
311012221100012122222111
4221013010313303020
51210400341214144
632140103032104
73121611635425
oct510704676310
9135840178874
1044142132424
11177a20a0485
12867b13b634
134216279ab0
1421ca75cd4c
151235485534
hexa47137cc8

44142132424 has 64 divisors (see below), whose sum is σ = 91663488000. Its totient is φ = 19802703360.

The previous prime is 44142132421. The next prime is 44142132449. The reversal of 44142132424 is 42423124144.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (44142132421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 505689 + ... + 586519.

It is an arithmetic number, because the mean of its divisors is an integer number (1432242000).

Almost surely, 244142132424 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 44142132424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45831744000).

44142132424 is an abundant number, since it is smaller than the sum of its proper divisors (47521355576).

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

44142132424 is a wasteful number, since it uses less digits than its factorization.

44142132424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80998 (or 80994 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

Adding to 44142132424 its reverse (42423124144), we get a palindrome (86565256568).

The spelling of 44142132424 in words is "forty-four billion, one hundred forty-two million, one hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 59 89 104 118 178 236 356 472 712 767 1157 1534 2314 3068 4628 5251 6136 9256 10502 21004 42008 68263 80831 136526 161662 273052 323324 546104 646648 1050803 2101606 4203212 4769029 7193959 8406424 9538058 14387918 19076116 28775836 38152232 57551672 61997377 93521467 123994754 187042934 247989508 374085868 424443581 495979016 748171736 848887162 1697774324 3395548648 5517766553 11035533106 22071066212 44142132424