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34334004131 = 719258150407
BaseRepresentation
bin11111111110011101…
…110101001110100011
310021121210111010100122
4133332131311032203
51030304001113011
623434532510455
72323554135260
oct377635651643
9107553433318
1034334004131
1113619717529
1267a247b42b
13331225bc9b
141939ca4267
15d5e3783db
hex7fe7753a3

34334004131 has 8 divisors (see below), whose sum is σ = 41304065280. Its totient is φ = 27880243848.

The previous prime is 34334004127. The next prime is 34334004157. The reversal of 34334004131 is 13140043343.

It is a happy number.

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 34334004131 - 22 = 34334004127 is a prime.

It is a super-2 number, since 2×343340041312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34334004131.

It is not an unprimeable number, because it can be changed into a prime (34334094131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129075071 + ... + 129075336.

It is an arithmetic number, because the mean of its divisors is an integer number (5163008160).

Almost surely, 234334004131 is an apocalyptic number.

34334004131 is a deficient number, since it is larger than the sum of its proper divisors (6970061149).

34334004131 is a wasteful number, since it uses less digits than its factorization.

34334004131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258150433.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 34334004131 its reverse (13140043343), we get a palindrome (47474047474).

The spelling of 34334004131 in words is "thirty-four billion, three hundred thirty-four million, four thousand, one hundred thirty-one".

Divisors: 1 7 19 133 258150407 1807052849 4904857733 34334004131