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131142414 = 231315710709
BaseRepresentation
bin1111101000100…
…01001100001110
3100010202201120110
413310101030032
5232033024124
621002500450
73151456254
oct764211416
9303681513
10131142414
1168032267
1237b04726
1321228780
14135ba5d4
15b7a7029
hex7d1130e

131142414 has 32 divisors (see below), whose sum is σ = 284286240. Its totient is φ = 40090752.

The previous prime is 131142413. The next prime is 131142421. The reversal of 131142414 is 414241131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142413) 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 15 ways as a sum of consecutive naturals, for example, 6892 + ... + 17600.

It is an arithmetic number, because the mean of its divisors is an integer number (8883945).

Almost surely, 2131142414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131142414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142143120).

131142414 is an abundant number, since it is smaller than the sum of its proper divisors (153143826).

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

131142414 is a wasteful number, since it uses less digits than its factorization.

131142414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10884.

The product of its digits is 384, while the sum is 21.

The square root of 131142414 is about 11451.7428367913. The cubic root of 131142414 is about 508.0592832833.

Adding to 131142414 its reverse (414241131), we get a palindrome (545383545).

The spelling of 131142414 in words is "one hundred thirty-one million, one hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 4082 6123 10709 12246 21418 32127 64254 139217 278434 417651 835302 1681313 3362626 5043939 10087878 21857069 43714138 65571207 131142414