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3430053334144 = 2726797291673
BaseRepresentation
bin110001111010011111000…
…111000100110010000000
3110010220120022111012111201
4301322133013010302000
5422144222123143034
611143424510550544
7502545630166063
oct61723707046200
913126508435451
103430053334144
11110274a75a908
12474925b08454
131bb5b65b81a8
14bc0306288da
155e35479e014
hex31e9f1c4c80

3430053334144 has 16 divisors (see below), whose sum is σ = 6833309376870. Its totient is φ = 1715026667008.

The previous prime is 3430053334139. The next prime is 3430053334231. The reversal of 3430053334144 is 4414333500343.

It can be written as a sum of positive squares in only one way, i.e., 3268545799744 + 161507534400 = 1807912^2 + 401880^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-4 number, since 4×34300533341444 (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13398645709 + ... + 13398645964.

Almost surely, 23430053334144 is an apocalyptic number.

It is an amenable number.

3430053334144 is a deficient number, since it is larger than the sum of its proper divisors (3403256042726).

3430053334144 is an equidigital number, since it uses as much as digits as its factorization.

3430053334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26797291687 (or 26797291675 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 37.

Adding to 3430053334144 its reverse (4414333500343), we get a palindrome (7844386834487).

The spelling of 3430053334144 in words is "three trillion, four hundred thirty billion, fifty-three million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 26797291673 53594583346 107189166692 214378333384 428756666768 857513333536 1715026667072 3430053334144