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344144321199 = 3278096752297
BaseRepresentation
bin1010000001000001001…
…10011001101010101111
31012220022000020220011100
411000200212121222233
521114301421234244
6422033035054143
733602134315260
oct5004046315257
91186260226140
10344144321199
11122a50552188
12568452a1353
13265b6693a23
1412929cb0967
158e42e27b69
hex5020999aaf

344144321199 has 24 divisors (see below), whose sum is σ = 568813583520. Its totient is φ = 196410786048.

The previous prime is 344144321177. The next prime is 344144321203. The reversal of 344144321199 is 991123441443.

344144321199 is a `hidden beast` number, since 3 + 4 + 414 + 43 + 2 + 1 + 199 = 666.

It is not a de Polignac number, because 344144321199 - 27 = 344144321071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344144321099) 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 23 ways as a sum of consecutive naturals, for example, 3325182 + ... + 3427115.

It is an arithmetic number, because the mean of its divisors is an integer number (23700565980).

Almost surely, 2344144321199 is an apocalyptic number.

344144321199 is a deficient number, since it is larger than the sum of its proper divisors (224669262321).

344144321199 is a wasteful number, since it uses less digits than its factorization.

344144321199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753119 (or 6753116 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 344144321199 in words is "three hundred forty-four billion, one hundred forty-four million, three hundred twenty-one thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 21 63 809 2427 5663 7281 16989 50967 6752297 20256891 47266079 60770673 141798237 425394711 5462608273 16387824819 38238257911 49163474457 114714773733 344144321199