Search a number
-
+
10042431141 = 329163708161
BaseRepresentation
bin10010101101001001…
…10101011010100101
3221220212121100201010
421112210311122211
5131031330244031
64340300052433
7503601153621
oct112644653245
927825540633
1010042431141
114293766176
121b43234119
13c40725762
146b3a4a181
153db990246
hex2569356a5

10042431141 has 16 divisors (see below), whose sum is σ = 13936628160. Its totient is φ = 6424427520.

The previous prime is 10042431127. The next prime is 10042431167. The reversal of 10042431141 is 14113424001.

10042431141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042431141 - 27 = 10042431013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042431541) 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 15 ways as a sum of consecutive naturals, for example, 339900 + ... + 368261.

It is an arithmetic number, because the mean of its divisors is an integer number (871039260).

Almost surely, 210042431141 is an apocalyptic number.

It is an amenable number.

10042431141 is a deficient number, since it is larger than the sum of its proper divisors (3894197019).

10042431141 is a wasteful number, since it uses less digits than its factorization.

10042431141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708356.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10042431141 its reverse (14113424001), we get a palindrome (24155855142).

The spelling of 10042431141 in words is "ten billion, forty-two million, four hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 29 87 163 489 4727 14181 708161 2124483 20536669 61610007 115430243 346290729 3347477047 10042431141