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1424424132 = 2232234141959
BaseRepresentation
bin101010011100110…
…1111110011000100
310200021022020120100
41110321233303010
510404123033012
6353202204100
750204256015
oct12471576304
93607266510
101424424132
11671060a2a
12339053630
13199150821
14d726d00c
15850bb8dc
hex54e6fcc4

1424424132 has 72 divisors (see below), whose sum is σ = 3848906880. Its totient is φ = 443076480.

The previous prime is 1424424119. The next prime is 1424424143. The reversal of 1424424132 is 2314244241.

1424424132 is a `hidden beast` number, since 1 + 4 + 244 + 2 + 413 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1424424096 and 1424424105.

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 23 ways as a sum of consecutive naturals, for example, 12969 + ... + 54927.

It is an arithmetic number, because the mean of its divisors is an integer number (53457040).

Almost surely, 21424424132 is an apocalyptic number.

1424424132 is a gapful number since it is divisible by the number (12) 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 1424424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924453440).

1424424132 is an abundant number, since it is smaller than the sum of its proper divisors (2424482748).

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

1424424132 is a wasteful number, since it uses less digits than its factorization.

1424424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42033 (or 42028 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1424424132 is about 37741.5438475958. The cubic root of 1424424132 is about 1125.1569511394.

Adding to 1424424132 its reverse (2314244241), we get a palindrome (3738668373).

The spelling of 1424424132 in words is "one billion, four hundred twenty-four million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1476 1886 2829 3772 5658 8487 11316 16974 33948 41959 83918 125877 167836 251754 377631 503508 755262 965057 1510524 1720319 1930114 2895171 3440638 3860228 5160957 5790342 6881276 8685513 10321914 11580684 15482871 17371026 20643828 30965742 34742052 39567337 61931484 79134674 118702011 158269348 237404022 356106033 474808044 712212066 1424424132