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13405142052 = 2232372365057
BaseRepresentation
bin11000111110000001…
…00011110000100100
31021121020010202212200
430133000203300210
5204423204021202
610054102414500
7653122553541
oct143700436044
937536122780
1013405142052
1157599426a5
122721431430
1313582c3923
149124abbc8
15536ccde1c
hex31f023c24

13405142052 has 18 divisors (see below), whose sum is σ = 33885220278. Its totient is φ = 4468380672.

The previous prime is 13405142041. The next prime is 13405142053. The reversal of 13405142052 is 25024150431.

It can be written as a sum of positive squares in only one way, i.e., 11356312356 + 2048829696 = 106566^2 + 45264^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (13405142053) 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, 186182493 + ... + 186182564.

Almost surely, 213405142052 is an apocalyptic number.

13405142052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13405142052 is an abundant number, since it is smaller than the sum of its proper divisors (20480078226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13405142052 is a wasteful number, since it uses less digits than its factorization.

13405142052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372365067 (or 372365062 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13405142052 its reverse (25024150431), we get a palindrome (38429292483).

The spelling of 13405142052 in words is "thirteen billion, four hundred five million, one hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 372365057 744730114 1117095171 1489460228 2234190342 3351285513 4468380684 6702571026 13405142052