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13042431402 = 237111319373089
BaseRepresentation
bin11000010010110001…
…11011010110101010
31020122221122011101220
430021120323112222
5203202330301102
65554104322510
7641126560230
oct141130732652
936587564356
1013042431402
115593126830
12263ba73436
1312cb10a140
148ba252950
155150341bc
hex30963b5aa

13042431402 has 256 divisors, whose sum is σ = 37874995200. Its totient is φ = 2881474560.

The previous prime is 13042431401. The next prime is 13042431461. The reversal of 13042431402 is 20413424031.

13042431402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13042431401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4220674 + ... + 4223762.

It is an arithmetic number, because the mean of its divisors is an integer number (147949200).

Almost surely, 213042431402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042431402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18937497600).

13042431402 is an abundant number, since it is smaller than the sum of its proper divisors (24832563798).

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

13042431402 is a wasteful number, since it uses less digits than its factorization.

13042431402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13042431402 its reverse (20413424031), we get a palindrome (33455855433).

It can be divided in two parts, 13042 and 431402, that added together give a palindrome (444444).

The spelling of 13042431402 in words is "thirteen billion, forty-two million, four hundred thirty-one thousand, four hundred two".