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344142510525431 = 10328132537365441
BaseRepresentation
bin100111000111111101110110…
…0000101111000101111110111
31200010111200222021021002022022
41032033323230011320233313
5330101412330143303211
63215532515313423355
7132326322141163322
oct11617735405705767
91603450867232268
10344142510525431
119a722023462202
123272115a56ab5b
1311a046655031a7
1460da82d06d7b9
1529bbe0a861bdb
hex138feec178bf7

344142510525431 has 16 divisors (see below), whose sum is σ = 348731968673088. Its totient is φ = 339577138790400.

The previous prime is 344142510525353. The next prime is 344142510525509. The reversal of 344142510525431 is 134525015241443.

It is an interprime number because it is at equal distance from previous prime (344142510525353) and next prime (344142510525509).

It is a cyclic number.

It is not a de Polignac number, because 344142510525431 - 238 = 343867632618487 is a prime.

It is a super-2 number, since 2×3441425105254312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344142510525731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941535671 + ... + 941901111.

It is an arithmetic number, because the mean of its divisors is an integer number (21795748042068).

Almost surely, 2344142510525431 is an apocalyptic number.

344142510525431 is a deficient number, since it is larger than the sum of its proper divisors (4589458147657).

344142510525431 is a wasteful number, since it uses less digits than its factorization.

344142510525431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398362.

The product of its (nonzero) digits is 1152000, while the sum is 44.

Adding to 344142510525431 its reverse (134525015241443), we get a palindrome (478667525766874).

The spelling of 344142510525431 in words is "three hundred forty-four trillion, one hundred forty-two billion, five hundred ten million, five hundred twenty-five thousand, four hundred thirty-one".

Divisors: 1 103 281 28943 32537 365441 3351311 9142897 37640423 102688921 941718391 10576958863 11890353817 1224706443151 3341189422577 344142510525431