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3134737431 = 3271092691697
BaseRepresentation
bin1011101011011000…
…0100110000010111
322002110120011100100
42322312010300113
522404443044211
61235020145143
7140452554120
oct27266046027
98073504310
103134737431
1113695286a1
127359981b3
133ac59b427
1421a47b047
1513530b156
hexbad84c17

3134737431 has 48 divisors (see below), whose sum is σ = 5244782400. Its totient is φ = 1767204864.

The previous prime is 3134737429. The next prime is 3134737447. The reversal of 3134737431 is 1347374313.

3134737431 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3134737431 - 21 = 3134737429 is a prime.

It is a super-2 number, since 2×31347374312 = 19653157522624959522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134737231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1846375 + ... + 1848071.

It is an arithmetic number, because the mean of its divisors is an integer number (109266300).

Almost surely, 23134737431 is an apocalyptic number.

3134737431 is a deficient number, since it is larger than the sum of its proper divisors (2110044969).

3134737431 is a wasteful number, since it uses less digits than its factorization.

3134737431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2085 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 3134737431 is about 55988.7259276365. The cubic root of 3134737431 is about 1463.5258237150.

The spelling of 3134737431 in words is "three billion, one hundred thirty-four million, seven hundred thirty-seven thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 109 269 327 763 807 981 1697 1883 2289 2421 5091 5649 6867 11879 15273 16947 29321 35637 87963 106911 184973 205247 263889 456493 554919 615741 1294811 1369479 1664757 1847223 3195451 3884433 4108437 9586353 11653299 28759059 49757737 149273211 348304159 447819633 1044912477 3134737431