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344141160016 = 24171606978737
BaseRepresentation
bin1010000001000000110…
…10010101111001010000
31012220021210022021211111
411000200122111321100
521114300114110031
6422032443223104
733602065411063
oct5004032257120
91186253267744
10344141160016
11122a49793135
1256844217a94
13265b5b27bc4
14129296ca8da
158e42a011b1
hex5020695e50

344141160016 has 40 divisors (see below), whose sum is σ = 706048370280. Its totient is φ = 161936646144.

The previous prime is 344141160001. The next prime is 344141160017. The reversal of 344141160016 is 610061141443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8663886400 + 335477273616 = 93080^2 + 579204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 344141160016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344141160017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4331400 + ... + 4410136.

It is an arithmetic number, because the mean of its divisors is an integer number (17651209257).

Almost surely, 2344141160016 is an apocalyptic number.

It is an amenable number.

344141160016 is an abundant number, since it is smaller than the sum of its proper divisors (361907210264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344141160016 is a wasteful number, since it uses less digits than its factorization.

344141160016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94831 (or 94825 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 344141160016 in words is "three hundred forty-four billion, one hundred forty-one million, one hundred sixty thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 16069 32138 64276 78737 128552 157474 257104 273173 314948 546346 629896 1092692 1259792 1338529 2185384 2677058 4370768 5354116 10708232 21416464 1265224853 2530449706 5060899412 10121798824 20243597648 21508822501 43017645002 86035290004 172070580008 344141160016