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144137004 = 223111915717
BaseRepresentation
bin10001001011101…
…01101100101100
3101001012220210120
420211311230230
5243344341004
622145204540
73400100334
oct1045655454
9331186716
10144137004
11743a82a0
1240330750
1323b2838b
14152000c4
15c9c23d9
hex8975b2c

144137004 has 48 divisors (see below), whose sum is σ = 368879616. Its totient is φ = 43441600.

The previous prime is 144136991. The next prime is 144137009. The reversal of 144137004 is 400731441.

144137004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144137009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22354 + ... + 28070.

It is an arithmetic number, because the mean of its divisors is an integer number (7684992).

Almost surely, 2144137004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144137004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184439808).

144137004 is an abundant number, since it is smaller than the sum of its proper divisors (224742612).

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

144137004 is a wasteful number, since it uses less digits than its factorization.

144137004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 144137004 is about 12005.7071428550. The cubic root of 144137004 is about 524.3144539551.

Adding to 144137004 its reverse (400731441), we get a palindrome (544868445).

The spelling of 144137004 in words is "one hundred forty-four million, one hundred thirty-seven thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 2101 2292 4202 5717 6303 8404 11434 12606 17151 22868 25212 34302 62887 68604 125774 188661 251548 377322 754644 1091947 2183894 3275841 4367788 6551682 12011417 13103364 24022834 36034251 48045668 72068502 144137004