Search a number
-
+
3435148415343 = 39901115649881
BaseRepresentation
bin110001111111001110110…
…011010001000101101111
3110011101201101210010221210
4301333032303101011233
5422240140443242333
611150030240125503
7503116115521161
oct61771663210557
913141641703853
103435148415343
1111049247a9817
12475908306893
131bbc19057738
14bc39519a931
155e551c37a63
hex31fcecd116f

3435148415343 has 8 divisors (see below), whose sum is σ = 4580660526256. Its totient is φ = 2289867624000.

The previous prime is 3435148415327. The next prime is 3435148415359.

3435148415343 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3435148415327) and next prime (3435148415359).

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

It is not a de Polignac number, because 3435148415343 - 24 = 3435148415327 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3435148415292 and 3435148415301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435148415443) 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, 57795238 + ... + 57854643.

It is an arithmetic number, because the mean of its divisors is an integer number (572582565782).

Almost surely, 23435148415343 is an apocalyptic number.

3435148415343 is a deficient number, since it is larger than the sum of its proper divisors (1145512110913).

3435148415343 is a wasteful number, since it uses less digits than its factorization.

3435148415343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115659785.

The product of its digits is 4147200, while the sum is 48.

The spelling of 3435148415343 in words is "three trillion, four hundred thirty-five billion, one hundred forty-eight million, four hundred fifteen thousand, three hundred forty-three".

Divisors: 1 3 9901 29703 115649881 346949643 1145049471781 3435148415343