Search a number
-
+
34120422402143 = 7111380732094037
BaseRepresentation
bin1111100001000010001111…
…01010000010100001011111
311110210212202220101022201112
413300201013222002201133
513433012111113332033
6200322412231132235
710121055606052010
oct760410752024137
9143725686338645
1034120422402143
11a965431a23820
1239b092451407b
131606707aa822c
1485d619b89007
153e283cd75c48
hex1f0847a8285f

34120422402143 has 16 divisors (see below), whose sum is σ = 42542829763584. Its totient is φ = 26585415660960.

The previous prime is 34120422402137. The next prime is 34120422402149.

It is a happy number.

34120422402143 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34120422402137) and next prime (34120422402149).

It is a cyclic number.

It is not a de Polignac number, because 34120422402143 - 24 = 34120422402127 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 (34120422402149) 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, 14983880 + ... + 17110157.

It is an arithmetic number, because the mean of its divisors is an integer number (2658926860224).

Almost surely, 234120422402143 is an apocalyptic number.

34120422402143 is a deficient number, since it is larger than the sum of its proper divisors (8422407361441).

34120422402143 is a wasteful number, since it uses less digits than its factorization.

34120422402143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32107862.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 3412042 and 2402143, that added together give a palindrome (5814185).

The spelling of 34120422402143 in words is "thirty-four trillion, one hundred twenty billion, four hundred twenty-two million, four hundred two thousand, one hundred forty-three".

Divisors: 1 7 11 77 13807 96649 151877 1063139 32094037 224658259 353034407 2471240849 443122368859 3101856582013 4874346057449 34120422402143