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434440132431 = 34147251299401
BaseRepresentation
bin1100101001001101010…
…01100101011101001111
31112112100212202101000020
412110212221211131033
524104213133214211
6531325023433223
743246555124244
oct6244651453517
91475325671006
10434440132431
11158277146668
1270245155813
1331c76878326
14170541b15cb
15b47a237306
hex6526a6574f

434440132431 has 32 divisors (see below), whose sum is σ = 608423187456. Its totient is φ = 275448000000.

The previous prime is 434440132421. The next prime is 434440132439. The reversal of 434440132431 is 134231044434.

It is not a de Polignac number, because 434440132431 - 225 = 434406577999 is a prime.

It is a super-2 number, since 2×4344401324312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434440132392 and 434440132401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434440132439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301331 + ... + 1600731.

It is an arithmetic number, because the mean of its divisors is an integer number (19013224608).

Almost surely, 2434440132431 is an apocalyptic number.

434440132431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

434440132431 is a deficient number, since it is larger than the sum of its proper divisors (173983055025).

434440132431 is a wasteful number, since it uses less digits than its factorization.

434440132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299743.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 434440132431 its reverse (134231044434), we get a palindrome (568671176865).

The spelling of 434440132431 in words is "four hundred thirty-four billion, four hundred forty million, one hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 41 47 123 141 251 753 1927 5781 10291 11797 30873 35391 299401 483677 898203 1451031 12275441 14071847 36826323 42215541 75149651 225448953 576945727 1730837181 3081135691 3532033597 9243407073 10596100791 144813377477 434440132431