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344053455201 = 344247573521
BaseRepresentation
bin1010000000110110010…
…11110001100101100001
31012220001200021102110000
411000123023301211201
521114110141031301
6422020031330213
733566652054651
oct5003313614541
91186050242400
10344053455201
11122a0422a215
125681a980969
13265a08ca871
141291bbba361
158e39e79786
hex501b2f1961

344053455201 has 10 divisors (see below), whose sum is σ = 513956396162. Its totient is φ = 229368970080.

The previous prime is 344053455181. The next prime is 344053455241. The reversal of 344053455201 is 102554350443.

344053455201 is a `hidden beast` number, since 3 + 4 + 40 + 53 + 45 + 520 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 312822083025 + 31231372176 = 559305^2 + 176724^2 .

It is not a de Polignac number, because 344053455201 - 219 = 344052930913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344053455241) 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 9 ways as a sum of consecutive naturals, for example, 2123786680 + ... + 2123786841.

Almost surely, 2344053455201 is an apocalyptic number.

It is an amenable number.

344053455201 is a deficient number, since it is larger than the sum of its proper divisors (169902940961).

344053455201 is an equidigital number, since it uses as much as digits as its factorization.

344053455201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247573533 (or 4247573524 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 344053455201 in words is "three hundred forty-four billion, fifty-three million, four hundred fifty-five thousand, two hundred one".

Divisors: 1 3 9 27 81 4247573521 12742720563 38228161689 114684485067 344053455201