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131141441410 = 25710917187607
BaseRepresentation
bin111101000100010100…
…0111001011110000010
3110112111110202110212121
41322020220321132002
54122034202111120
6140125012114454
712321543600610
oct1721050713602
9415443673777
10131141441410
1150686a19a41
12214bb005a2a
13c49c505155
1464c0d146b0
1536281835aa
hex1e88a39782

131141441410 has 32 divisors (see below), whose sum is σ = 272251710720. Its totient is φ = 44550274752.

The previous prime is 131141441399. The next prime is 131141441419. The reversal of 131141441410 is 14144141131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131141441419) 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, 8586174 + ... + 8601433.

It is an arithmetic number, because the mean of its divisors is an integer number (8507865960).

Almost surely, 2131141441410 is an apocalyptic number.

131141441410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131141441410 is an abundant number, since it is smaller than the sum of its proper divisors (141110269310).

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

131141441410 is a wasteful number, since it uses less digits than its factorization.

131141441410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17187730.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 131141441410 its reverse (14144141131), we get a palindrome (145285582541).

The spelling of 131141441410 in words is "one hundred thirty-one billion, one hundred forty-one million, four hundred forty-one thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 70 109 218 545 763 1090 1526 3815 7630 17187607 34375214 85938035 120313249 171876070 240626498 601566245 1203132490 1873449163 3746898326 9367245815 13114144141 18734491630 26228288282 65570720705 131141441410