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344114244153 = 3238234916017
BaseRepresentation
bin1010000000111101100…
…11101010101000111001
31012220012220122211012200
411000132303222220321
521114221221303103
6422030042300413
733601320546141
oct5003663525071
91186186584180
10344114244153
11122a35579919
12568371b7709
13265b0392964
1412925cc1921
158e404860a3
hex501eceaa39

344114244153 has 6 divisors (see below), whose sum is σ = 497053908234. Its totient is φ = 229409496096.

The previous prime is 344114244107. The next prime is 344114244233. The reversal of 344114244153 is 351442411443.

It is a happy number.

344114244153 is a `hidden beast` number, since 34 + 41 + 142 + 441 + 5 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338692572729 + 5421671424 = 581973^2 + 73632^2 .

It is not a de Polignac number, because 344114244153 - 213 = 344114235961 is a prime.

It is a super-2 number, since 2×3441142441532 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344114234153) 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 5 ways as a sum of consecutive naturals, for example, 19117458000 + ... + 19117458017.

It is an arithmetic number, because the mean of its divisors is an integer number (82842318039).

Almost surely, 2344114244153 is an apocalyptic number.

It is an amenable number.

344114244153 is a deficient number, since it is larger than the sum of its proper divisors (152939664081).

344114244153 is a wasteful number, since it uses less digits than its factorization.

344114244153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38234916023 (or 38234916020 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 344114244153 its reverse (351442411443), we get a palindrome (695556655596).

The spelling of 344114244153 in words is "three hundred forty-four billion, one hundred fourteen million, two hundred forty-four thousand, one hundred fifty-three".

Divisors: 1 3 9 38234916017 114704748051 344114244153