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1424101032 = 233211321549
BaseRepresentation
bin101010011100010…
…0000111010101000
310200020200211100200
41110320200322220
510404032213112
6353151232200
750201442024
oct12470407250
93606624320
101424101032
11670960202
12338b18660
13199069743
14d71c7384
1585055cdc
hex54e20ea8

1424101032 has 72 divisors (see below), whose sum is σ = 3893886750. Its totient is φ = 470195712.

The previous prime is 1424101001. The next prime is 1424101037. The reversal of 1424101032 is 2301014241.

It can be written as a sum of positive squares in 3 ways, for example, as 262245636 + 1161855396 = 16194^2 + 34086^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1424100996 and 1424101014.

It is not an unprimeable number, because it can be changed into a prime (1424101037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 918594 + ... + 920142.

Almost surely, 21424101032 is an apocalyptic number.

1424101032 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 1424101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946943375).

1424101032 is an abundant number, since it is smaller than the sum of its proper divisors (2469785718).

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

1424101032 is a wasteful number, since it uses less digits than its factorization.

1424101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1424101032 is about 37737.2631758054. The cubic root of 1424101032 is about 1125.0718721490.

Adding to 1424101032 its reverse (2301014241), we get a palindrome (3725115273).

The spelling of 1424101032 in words is "one billion, four hundred twenty-four million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 1549 2034 2712 3098 4068 4647 6196 8136 9294 12392 12769 13941 18588 25538 27882 37176 38307 51076 55764 76614 102152 111528 114921 153228 175037 229842 306456 350074 459684 525111 700148 919368 1050222 1400296 1575333 2100444 3150666 4200888 6301332 12602664 19779181 39558362 59337543 79116724 118675086 158233448 178012629 237350172 356025258 474700344 712050516 1424101032