Search a number
-
+
3434137404541 = 101194571747513
BaseRepresentation
bin110001111110010010100…
…010100100010001111101
3110011022002221101110212021
4301332102202210101331
5422231103133421131
611145342042440141
7503052061210624
oct61762242442175
913138087343767
103434137404541
1111044560453a8
12475685803051
131bbab77638ac
14bc2dabc46bb
155e4e30cde11
hex31f928a447d

3434137404541 has 8 divisors (see below), whose sum is σ = 3468318996024. Its totient is φ = 3399959347200.

The previous prime is 3434137404497. The next prime is 3434137404547. The reversal of 3434137404541 is 1454047314343.

3434137404541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1834342475641 + 1599794928900 = 1354379^2 + 1264830^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3434137404541 - 221 = 3434135307389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434137404547) 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, 1091401 + ... + 2838913.

It is an arithmetic number, because the mean of its divisors is an integer number (433539874503).

Almost surely, 23434137404541 is an apocalyptic number.

It is an amenable number.

3434137404541 is a deficient number, since it is larger than the sum of its proper divisors (34181591483).

3434137404541 is a wasteful number, since it uses less digits than its factorization.

3434137404541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767071.

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 3434137404541 in words is "three trillion, four hundred thirty-four billion, one hundred thirty-seven million, four hundred four thousand, five hundred forty-one".

Divisors: 1 101 19457 1747513 1965157 176498813 34001360441 3434137404541