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344405531133 = 32311234428427
BaseRepresentation
bin1010000001100000010…
…10110101100111111101
31012220222012202201211100
411000300022311213331
521120320303444013
6422115005443313
733611455466256
oct5006012654775
91186865681740
10344405531133
11123074a42064
12568b8870539
132662882c911
1412952867b2d
158e5ad23473
hex50302b59fd

344405531133 has 12 divisors (see below), whose sum is σ = 513522226048. Its totient is φ = 222197116680.

The previous prime is 344405531131. The next prime is 344405531161. The reversal of 344405531133 is 331135504443.

344405531133 is a `hidden beast` number, since 3 + 4 + 440 + 55 + 31 + 133 = 666.

It is not a de Polignac number, because 344405531133 - 21 = 344405531131 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344405531131) 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, 617213935 + ... + 617214492.

Almost surely, 2344405531133 is an apocalyptic number.

It is an amenable number.

344405531133 is a deficient number, since it is larger than the sum of its proper divisors (169116694915).

344405531133 is a wasteful number, since it uses less digits than its factorization.

344405531133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234428464 (or 1234428461 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 344405531133 in words is "three hundred forty-four billion, four hundred five million, five hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 31 93 279 1234428427 3703285281 11109855843 38267281237 114801843711 344405531133