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3436445454431 = 114189137624917
BaseRepresentation
bin110010000000011100000…
…111000101000001011111
3110011112001210101120002112
4302000130013011001133
5422300320014020211
611150403052144235
7503163215260223
oct62003407050137
913145053346075
103436445454431
11110542a964450
1247600a76807b
131bc094996aa2
14bc47954a783
155e5caa4088b
hex3201c1c505f

3436445454431 has 32 divisors (see below), whose sum is σ = 3911786706240. Its totient is φ = 2991597875200.

The previous prime is 3436445454373. The next prime is 3436445454479. The reversal of 3436445454431 is 1344545446343.

It is not a de Polignac number, because 3436445454431 - 218 = 3436445192287 is a prime.

It is a super-2 number, since 2×34364454544312 (a number of 26 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 3436445454431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436445484431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5186585 + ... + 5811501.

It is an arithmetic number, because the mean of its divisors is an integer number (122243334570).

Almost surely, 23436445454431 is an apocalyptic number.

3436445454431 is a deficient number, since it is larger than the sum of its proper divisors (475341251809).

3436445454431 is a wasteful number, since it uses less digits than its factorization.

3436445454431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625195.

The product of its digits is 16588800, while the sum is 50.

The spelling of 3436445454431 in words is "three trillion, four hundred thirty-six billion, four hundred forty-five million, four hundred fifty-four thousand, four hundred thirty-one".

Divisors: 1 11 41 89 137 451 979 1507 3649 5617 12193 40139 61787 134123 499913 624917 5499043 6874087 25621597 55617613 85613629 281837567 611793743 941749919 2280322133 3510158789 7619612981 25083543463 38611746679 83815742791 312404132221 3436445454431