Search a number
-
+
344112000141 = 37131260483517
BaseRepresentation
bin1010000000111101010…
…11000110110010001101
31012220012202102211000010
411000132223012302031
521114220133001031
6422025522223433
733601262511630
oct5003653066215
91186182384003
10344112000141
11122a34286968
12568364b4b79
13265aca88440
1412925899c17
158e40191246
hex501eac6c8d

344112000141 has 16 divisors (see below), whose sum is σ = 564696616064. Its totient is φ = 181509626304.

The previous prime is 344112000109. The next prime is 344112000149. The reversal of 344112000141 is 141000211443.

It is not a de Polignac number, because 344112000141 - 25 = 344112000109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344112000149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630241486 + ... + 630242031.

It is an arithmetic number, because the mean of its divisors is an integer number (35293538504).

Almost surely, 2344112000141 is an apocalyptic number.

It is an amenable number.

344112000141 is a deficient number, since it is larger than the sum of its proper divisors (220584615923).

344112000141 is a wasteful number, since it uses less digits than its factorization.

344112000141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260483540.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 344112000141 its reverse (141000211443), we get a palindrome (485112211584).

The spelling of 344112000141 in words is "three hundred forty-four billion, one hundred twelve million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 3 7 13 21 39 91 273 1260483517 3781450551 8823384619 16386285721 26470153857 49158857163 114704000047 344112000141