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144042140 = 22511738969
BaseRepresentation
bin10001001010111…
…10100010011100
3101001001002200002
420211132202130
5243333322030
622143153432
73366223634
oct1045364234
9331032602
10144042140
1174342aa0
12402a5878
1323ac4148
14151b76c4
15c9a4245
hex895e89c

144042140 has 48 divisors (see below), whose sum is σ = 334545120. Its totient is φ = 51655680.

The previous prime is 144042137. The next prime is 144042149. The reversal of 144042140 is 41240441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144042149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11576 + ... + 20544.

It is an arithmetic number, because the mean of its divisors is an integer number (6969690).

Almost surely, 2144042140 is an apocalyptic number.

144042140 is a gapful number since it is divisible by the number (10) 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 144042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167272560).

144042140 is an abundant number, since it is smaller than the sum of its proper divisors (190502980).

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

144042140 is a wasteful number, since it uses less digits than its factorization.

144042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144042140 is about 12001.7557048958. The cubic root of 144042140 is about 524.1994025785.

Adding to 144042140 its reverse (41240441), we get a palindrome (185282581).

The spelling of 144042140 in words is "one hundred forty-four million, forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 8969 16060 17938 35876 44845 89690 98659 179380 197318 394636 493295 654737 986590 1309474 1973180 2618948 3273685 6547370 7202107 13094740 14404214 28808428 36010535 72021070 144042140