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144142210212 = 2237111314898059
BaseRepresentation
bin1000011000111110001…
…0111001010010100100
3111210001111222221221020
42012033202321102210
54330200401211322
6150115031451140
713261656366630
oct2061742712244
9453044887836
10144142210212
1156148579a70
1223b28b26ab0
1310791ab5a60
146d957dddc0
153b396d805c
hex218f8b94a4

144142210212 has 192 divisors, whose sum is σ = 451937740800. Its totient is φ = 34532075520.

The previous prime is 144142210193. The next prime is 144142210213. The reversal of 144142210212 is 212012241441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144142210213) 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, 17881839 + ... + 17889897.

It is an arithmetic number, because the mean of its divisors is an integer number (2353842400).

Almost surely, 2144142210212 is an apocalyptic number.

144142210212 is a gapful number since it is divisible by the number (12) 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 144142210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225968870400).

144142210212 is an abundant number, since it is smaller than the sum of its proper divisors (307795530588).

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

144142210212 is a wasteful number, since it uses less digits than its factorization.

144142210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9584 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144142210212 its reverse (212012241441), we get a palindrome (356154451653).

The spelling of 144142210212 in words is "one hundred forty-four billion, one hundred forty-two million, two hundred ten thousand, two hundred twelve".