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334131131433 = 31110125185801
BaseRepresentation
bin1001101110010111100…
…01000111010000101001
31011221110011200011002010
410313023301013100221
520433300032201213
6413255301430133
733066036520221
oct4671361072051
91157404604063
10334131131433
11119782349540
125490ba0b349
132567c038b78
141225a0b7081
158a58d11ac3
hex4dcbc47429

334131131433 has 8 divisors (see below), whose sum is σ = 486008918496. Its totient is φ = 202503716000.

The previous prime is 334131131417. The next prime is 334131131449.

334131131433 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (334131131417) and next prime (334131131449).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 334131131433 - 24 = 334131131417 is a prime.

It is a super-2 number, since 2×3341311314332 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 334131131433.

It is not an unprimeable number, because it can be changed into a prime (334131131483) 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 7 ways as a sum of consecutive naturals, for example, 5062592868 + ... + 5062592933.

It is an arithmetic number, because the mean of its divisors is an integer number (60751114812).

Almost surely, 2334131131433 is an apocalyptic number.

334131131433 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

334131131433 is a deficient number, since it is larger than the sum of its proper divisors (151877787063).

334131131433 is a wasteful number, since it uses less digits than its factorization.

334131131433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125185815.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 334131 and 131433, that added together give a palindrome (465564).

The spelling of 334131131433 in words is "three hundred thirty-four billion, one hundred thirty-one million, one hundred thirty-one thousand, four hundred thirty-three".

Divisors: 1 3 11 33 10125185801 30375557403 111377043811 334131131433