Search a number
-
+
348189739353401 = 1122877601151681
BaseRepresentation
bin100111100101011010011110…
…1101110101000010100111001
31200122211121120121022211111012
41033022310331232220110321
5331114220041233302101
63232312054045243305
7133224610221461441
oct11712647556502471
91618747517284435
10348189739353401
11a0a42491639300
1233075607263535
1311c391c7bc5a7a
1461da68aa61121
152a3c332c6dbbb
hex13cad3dba8539

348189739353401 has 6 divisors (see below), whose sum is σ = 382720953173706. Its totient is φ = 316536126684800.

The previous prime is 348189739353377. The next prime is 348189739353403. The reversal of 348189739353401 is 104353937981843.

It can be written as a sum of positive squares in only one way, i.e., 301794896340025 + 46394843013376 = 17372245^2 + 6811376^2 .

It is not a de Polignac number, because 348189739353401 - 226 = 348189672244537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348189739353403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1438800575720 + ... + 1438800575961.

It is an arithmetic number, because the mean of its divisors is an integer number (63786825528951).

Almost surely, 2348189739353401 is an apocalyptic number.

It is an amenable number.

348189739353401 is a deficient number, since it is larger than the sum of its proper divisors (34531213820305).

348189739353401 is a wasteful number, since it uses less digits than its factorization.

348189739353401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877601151703 (or 2877601151692 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 68.

The spelling of 348189739353401 in words is "three hundred forty-eight trillion, one hundred eighty-nine billion, seven hundred thirty-nine million, three hundred fifty-three thousand, four hundred one".

Divisors: 1 11 121 2877601151681 31653612668491 348189739353401