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34131041330431 = 293563206906209
BaseRepresentation
bin1111100001010110000001…
…00110000010010011111111
311110211220011221202202211211
413300223000212002103333
513433200333040033211
6200331330043425251
710121613010336423
oct760530046022377
9143756157682754
1034131041330431
11a969991044811
1239b29a8825227
13160770aa8a956
1485dd461c0b83
153e2c6023ee21
hex1f0ac09824ff

34131041330431 has 8 divisors (see below), whose sum is σ = 34308360117360. Its totient is φ = 33954136357632.

The previous prime is 34131041330429. The next prime is 34131041330447. The reversal of 34131041330431 is 13403314013143.

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 34131041330431 - 21 = 34131041330429 is a prime.

It is a super-2 number, since 2×341310413304312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34131041330393 and 34131041330402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131041330461) 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, 103288146 + ... + 103618063.

It is an arithmetic number, because the mean of its divisors is an integer number (4288545014670).

Almost surely, 234131041330431 is an apocalyptic number.

34131041330431 is a deficient number, since it is larger than the sum of its proper divisors (177318786929).

34131041330431 is a wasteful number, since it uses less digits than its factorization.

34131041330431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206907065.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 34131041330431 its reverse (13403314013143), we get a palindrome (47534355343574).

The spelling of 34131041330431 in words is "thirty-four trillion, one hundred thirty-one billion, forty-one million, three hundred thirty thousand, four hundred thirty-one".

Divisors: 1 293 563 164959 206906209 60623519237 116488195667 34131041330431