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144042040230 = 2351117711033511
BaseRepresentation
bin1000011000100110010…
…0110001101110100110
3111202210112111210112220
42012021210301232212
54324444230241410
6150101052453210
713256332066104
oct2061144615646
9452715453486
10144042040230
11560a6a81860
1223abb47a206
1310777112a8a
146d863a6c74
153b309ed070
hex2189931ba6

144042040230 has 256 divisors, whose sum is σ = 408984256512. Its totient is φ = 32078592000.

The previous prime is 144042040217. The next prime is 144042040297. The reversal of 144042040230 is 32040240441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144042040230.

It is a congruent number.

It is an unprimeable number.

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, 41024175 + ... + 41027685.

It is an arithmetic number, because the mean of its divisors is an integer number (1597594752).

Almost surely, 2144042040230 is an apocalyptic number.

144042040230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144042040230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204492128256).

144042040230 is an abundant number, since it is smaller than the sum of its proper divisors (264942216282).

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

144042040230 is a wasteful number, since it uses less digits than its factorization.

144042040230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144042040230 its reverse (32040240441), we get a palindrome (176082280671).

The spelling of 144042040230 in words is "one hundred forty-four billion, forty-two million, forty thousand, two hundred thirty".