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144314224146 = 23269833114809
BaseRepresentation
bin1000011001100111001…
…1000100111000010010
3111210111111200011200200
42012121303010320102
54331023420133041
6150144054400030
713266145444161
oct2063163047022
9453444604620
10144314224146
1156226687644
1223b76660016
13107bb621951
146db05b93d8
153b498651b6
hex2199cc4e12

144314224146 has 24 divisors (see below), whose sum is σ = 312688020060. Its totient is φ = 48103633536.

The previous prime is 144314224123. The next prime is 144314224147. The reversal of 144314224146 is 641422413441.

It can be written as a sum of positive squares in 2 ways, for example, as 141781618521 + 2532605625 = 376539^2 + 50325^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144314224146.

It is not an unprimeable number, because it can be changed into a prime (144314224147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1199590 + ... + 1314398.

Almost surely, 2144314224146 is an apocalyptic number.

144314224146 is an abundant number, since it is smaller than the sum of its proper divisors (168373795914).

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

144314224146 is a wasteful number, since it uses less digits than its factorization.

144314224146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184650 (or 184647 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 144314224146 its reverse (641422413441), we get a palindrome (785736637587).

The spelling of 144314224146 in words is "one hundred forty-four billion, three hundred fourteen million, two hundred twenty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 69833 114809 139666 209499 229618 344427 418998 628497 688854 1033281 1256994 2066562 8017456897 16034913794 24052370691 48104741382 72157112073 144314224146