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144130144 = 25231131733
BaseRepresentation
bin10001001011101…
…00000001100000
3101001012120101111
420211310001200
5243344131034
622145113104
73400041334
oct1045640140
9331176344
10144130144
11743a3124
1240328794
1323b25212
14151db7c4
15c9c0364
hex8974060

144130144 has 48 divisors (see below), whose sum is σ = 298886112. Its totient is φ = 68282368.

The previous prime is 144130139. The next prime is 144130157. The reversal of 144130144 is 441031441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82302 + ... + 84034.

It is an arithmetic number, because the mean of its divisors is an integer number (6226794).

Almost surely, 2144130144 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 144130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149443056).

144130144 is an abundant number, since it is smaller than the sum of its proper divisors (154755968).

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

144130144 is a wasteful number, since it uses less digits than its factorization.

144130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 144130144 is about 12005.4214419986. The cubic root of 144130144 is about 524.3061358177.

Adding to 144130144 its reverse (441031441), we get a palindrome (585161585).

The spelling of 144130144 in words is "one hundred forty-four million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 113 184 226 368 452 736 904 1733 1808 2599 3466 3616 5198 6932 10396 13864 20792 27728 39859 41584 55456 79718 83168 159436 195829 318872 391658 637744 783316 1275488 1566632 3133264 4504067 6266528 9008134 18016268 36032536 72065072 144130144