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3442141131 = 311132718693
BaseRepresentation
bin1100110100101010…
…1110011111001011
322212212222212221120
43031022232133023
524022142004011
61325321010323
7151204500612
oct31512563713
98785885846
103442141131
111506aa9640
128009239a3
1342b18c100
1424921a879
151522cda06
hexcd2ae7cb

3442141131 has 48 divisors (see below), whose sum is σ = 5498502912. Its totient is φ = 1898332800.

The previous prime is 3442141111. The next prime is 3442141133. The reversal of 3442141131 is 1311412443.

It is not a de Polignac number, because 3442141131 - 26 = 3442141067 is a prime.

It is a super-2 number, since 2×34421411312 = 23696671131443918322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3442141133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391621 + ... + 400313.

It is an arithmetic number, because the mean of its divisors is an integer number (114552144).

Almost surely, 23442141131 is an apocalyptic number.

3442141131 is a deficient number, since it is larger than the sum of its proper divisors (2056361781).

3442141131 is a wasteful number, since it uses less digits than its factorization.

3442141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804 (or 8791 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 3442141131 is about 58669.7633453553. The cubic root of 3442141131 is about 1509.8815940077.

Adding to 3442141131 its reverse (1311412443), we get a palindrome (4753553574).

The spelling of 3442141131 in words is "three billion, four hundred forty-two million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 13 33 39 71 143 169 213 429 507 781 923 1859 2343 2769 5577 8693 10153 11999 26079 30459 35997 95623 113009 131989 286869 339027 395967 617203 1243099 1469117 1851609 3729297 4407351 6789233 8023639 16160287 20367699 24070917 48480861 88260029 104307307 264780087 312921921 1147380377 3442141131