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3134116461 = 373137312907
BaseRepresentation
bin1011101011001110…
…1101001001101101
322002102101121112110
42322303231021231
522404313211321
61234554554233
7140444356530
oct27263551155
98072347473
103134116461
1113691440a3
12735738979
133ac4118a8
1421a358a17
15135237176
hexbaced26d

3134116461 has 32 divisors (see below), whose sum is σ = 4943454208. Its totient is φ = 1728371520.

The previous prime is 3134116457. The next prime is 3134116477. The reversal of 3134116461 is 1646114313.

It is not a de Polignac number, because 3134116461 - 22 = 3134116457 is a prime.

It is a super-2 number, since 2×31341164612 = 19645371982222329042, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134116421) 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 31 ways as a sum of consecutive naturals, for example, 236370 + ... + 249276.

It is an arithmetic number, because the mean of its divisors is an integer number (154482944).

Almost surely, 23134116461 is an apocalyptic number.

3134116461 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3134116461 is a deficient number, since it is larger than the sum of its proper divisors (1809337747).

3134116461 is a wasteful number, since it uses less digits than its factorization.

3134116461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13321.

The product of its digits is 5184, while the sum is 30.

The square root of 3134116461 is about 55983.1801615449. The cubic root of 3134116461 is about 1463.4291791883.

The spelling of 3134116461 in words is "three billion, one hundred thirty-four million, one hundred sixteen thousand, four hundred sixty-one".

Divisors: 1 3 7 21 31 93 217 373 651 1119 2611 7833 11563 12907 34689 38721 80941 90349 242823 271047 400117 1200351 2800819 4814311 8402457 14442933 33700177 101100531 149243641 447730923 1044705487 3134116461