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334018111249 = 65928772
BaseRepresentation
bin1001101110001010000…
…01111110011100010001
31011221011022000010112101
410313011001332130101
520433032114024444
6413240143200401
733063165046264
oct4670501763421
91157138003471
10334018111249
11119724574829
1254899ba6101
13256617b6c14
1412249096cdb
158a4de393d4
hex4dc507e711

334018111249 has 9 divisors (see below), whose sum is σ = 334907614587. Its totient is φ = 333130968744.

The previous prime is 334018111243. The next prime is 334018111261. The reversal of 334018111249 is 942111810433.

It is a happy number.

The square root of 334018111249 is 577943.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 281424945025 + 52593166224 = 530495^2 + 229332^2 .

It is a de Polignac number, because none of the positive numbers 2k-334018111249 is a prime.

It is a super-2 number, since 2×3340181112492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334018111243) 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 8 ways as a sum of consecutive naturals, for example, 380863999 + ... + 380864875.

Almost surely, 2334018111249 is an apocalyptic number.

334018111249 is the 577943-rd square number.

334018111249 is the 288972-nd centered octagonal number.

It is an amenable number.

334018111249 is a deficient number, since it is larger than the sum of its proper divisors (889503338).

334018111249 is an frugal number, since it uses more digits than its factorization.

334018111249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 334018111249 in words is "three hundred thirty-four billion, eighteen million, one hundred eleven thousand, two hundred forty-nine".

Divisors: 1 659 877 434281 577943 769129 380864437 506856011 334018111249