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144114012 = 223371979127
BaseRepresentation
bin10001001011100…
…00000101011100
3101001011202021000
420211300011130
5243343122022
622144510300
73366643320
oct1045600534
9331152230
10144114012
1174391a99
124031b390
1323b1aa83
14151d5980
15c9ba6ac
hex897015c

144114012 has 192 divisors, whose sum is σ = 458752000. Its totient is φ = 38211264.

The previous prime is 144114007. The next prime is 144114037. The reversal of 144114012 is 210411441.

It is a super-2 number, since 2×1441140122 = 41537696909472288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1134693 + ... + 1134819.

Almost surely, 2144114012 is an apocalyptic number.

144114012 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 144114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229376000).

144114012 is an abundant number, since it is smaller than the sum of its proper divisors (314637988).

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

144114012 is a wasteful number, since it uses less digits than its factorization.

144114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 144114012 is about 12004.7495600700. The cubic root of 144114012 is about 524.2865738164.

Adding to 144114012 its reverse (210411441), we get a palindrome (354525453).

The spelling of 144114012 in words is "one hundred forty-four million, one hundred fourteen thousand, twelve".