Search a number
-
+
141120222240 = 25352941475261
BaseRepresentation
bin1000001101101101101…
…0111011010000100000
3111111020220121001202210
42003123122323100200
54303003234102430
6144455120042120
713124043045234
oct2033332732040
9444226531683
10141120222240
1154937760748
1223424a63340
13103cc9a32aa
146b8a3125c4
153a0e24e2b0
hex20db6bb420

141120222240 has 384 divisors, whose sum is σ = 481187589120. Its totient is φ = 34687385600.

The previous prime is 141120222181. The next prime is 141120222247. The reversal of 141120222240 is 42222021141.

It is not an unprimeable number, because it can be changed into a prime (141120222247) 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 63 ways as a sum of consecutive naturals, for example, 26821210 + ... + 26826470.

It is an arithmetic number, because the mean of its divisors is an integer number (1253092680).

Almost surely, 2141120222240 is an apocalyptic number.

141120222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141120222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240593794560).

141120222240 is an abundant number, since it is smaller than the sum of its proper divisors (340067366880).

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

141120222240 is a wasteful number, since it uses less digits than its factorization.

141120222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 141120222240 its reverse (42222021141), we get a palindrome (183342243381).

The spelling of 141120222240 in words is "one hundred forty-one billion, one hundred twenty million, two hundred twenty-two thousand, two hundred forty".