Search a number
-
+
141131234140 = 22513241754803
BaseRepresentation
bin1000001101110000010…
…0111011101101011100
3111111021200022112020221
42003130010323231130
54303014043443030
6144500152051124
713124235461011
oct2033404735534
9444250275227
10141131234140
11549429a2096
1223428693aa4
131040205a600
146b8b97b708
153a101c6e7a
hex20dc13bb5c

141131234140 has 36 divisors (see below), whose sum is σ = 320927423544. Its totient is φ = 52109992896.

The previous prime is 141131234137. The next prime is 141131234141. The reversal of 141131234140 is 41432131141.

141131234140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141131234141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20874022 + ... + 20880781.

It is an arithmetic number, because the mean of its divisors is an integer number (8914650654).

Almost surely, 2141131234140 is an apocalyptic number.

141131234140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141131234140 is an abundant number, since it is smaller than the sum of its proper divisors (179796189404).

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

141131234140 is a wasteful number, since it uses less digits than its factorization.

141131234140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41754838 (or 41754823 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 141131234140 its reverse (41432131141), we get a palindrome (182563365281).

The spelling of 141131234140 in words is "one hundred forty-one billion, one hundred thirty-one million, two hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 41754803 83509606 167019212 208774015 417548030 542812439 835096060 1085624878 2171249756 2714062195 5428124390 7056561707 10856248780 14113123414 28226246828 35282808535 70565617070 141131234140