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334142452053 = 32135532739389
BaseRepresentation
bin1001101110011000111…
…00010011000101010101
31011221110221222022001100
410313030130103011111
520433310431431203
6413300344220313
733066234660024
oct4671434230525
91157427868040
10334142452053
11119788780923
125491376a699
13256814a0867
141225b7c28bb
158a59ceaea3
hex4dcc713155

334142452053 has 12 divisors (see below), whose sum is σ = 482685996780. Its totient is φ = 222745117056.

The previous prime is 334142452037. The next prime is 334142452081. The reversal of 334142452053 is 350254241433.

334142452053 is a `hidden beast` number, since 3 + 3 + 41 + 42 + 4 + 520 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 253589794929 + 80552657124 = 503577^2 + 283818^2 .

It is not a de Polignac number, because 334142452053 - 24 = 334142452037 is a prime.

It is a super-2 number, since 2×3341424520532 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334142451999 and 334142452017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334142451053) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 1247718 + ... + 1491671.

It is an arithmetic number, because the mean of its divisors is an integer number (40223833065).

Almost surely, 2334142452053 is an apocalyptic number.

It is an amenable number.

334142452053 is a deficient number, since it is larger than the sum of its proper divisors (148543544727).

334142452053 is a wasteful number, since it uses less digits than its factorization.

334142452053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752948 (or 2752945 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 334142452053 its reverse (350254241433), we get a palindrome (684396693486).

The spelling of 334142452053 in words is "three hundred thirty-four billion, one hundred forty-two million, four hundred fifty-two thousand, fifty-three".

Divisors: 1 3 9 13553 40659 121977 2739389 8218167 24654501 37126939117 111380817351 334142452053