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141123030240 = 253517131132019
BaseRepresentation
bin1000001101101110010…
…1101000110011100000
3111111021002212201121210
42003123211220303200
54303004443431430
6144455300150120
713124105651643
oct2033345506340
9444232781553
10141123030240
11549392a9405
1223425998340
131040044742a
146b8a843a5a
153a0e6062b0
hex20db968ce0

141123030240 has 192 divisors, whose sum is σ = 474283434240. Its totient is φ = 35148472320.

The previous prime is 141123030227. The next prime is 141123030241. The reversal of 141123030240 is 42030321141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141123030241) 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 31 ways as a sum of consecutive naturals, for example, 1002951 + ... + 1134969.

It is an arithmetic number, because the mean of its divisors is an integer number (2470226220).

Almost surely, 2141123030240 is an apocalyptic number.

141123030240 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 141123030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237141717120).

141123030240 is an abundant number, since it is smaller than the sum of its proper divisors (333160404000).

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

141123030240 is a wasteful number, since it uses less digits than its factorization.

141123030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132185 (or 132177 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 141123030240 its reverse (42030321141), we get a palindrome (183153351381).

The spelling of 141123030240 in words is "one hundred forty-one billion, one hundred twenty-three million, thirty thousand, two hundred forty".