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144031120 = 2451800389
BaseRepresentation
bin10001001010110…
…11110110010000
3101001000112112221
420211123312100
5243332443440
622143030424
73366146542
oct1045336620
9331015487
10144031120
1174335792
124029b414
1323abc11c
14151b3692
15c9a0d4a
hex895bd90

144031120 has 20 divisors (see below), whose sum is σ = 334872540. Its totient is φ = 57612416.

The previous prime is 144031091. The next prime is 144031127. The reversal of 144031120 is 21130441.

It can be written as a sum of positive squares in 2 ways, for example, as 71031184 + 72999936 = 8428^2 + 8544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 144031094 and 144031103.

It is not an unprimeable number, because it can be changed into a prime (144031127) 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 3 ways as a sum of consecutive naturals, for example, 900115 + ... + 900274.

It is an arithmetic number, because the mean of its divisors is an integer number (16743627).

Almost surely, 2144031120 is an apocalyptic number.

144031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144031120 is an abundant number, since it is smaller than the sum of its proper divisors (190841420).

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

144031120 is a wasteful number, since it uses less digits than its factorization.

144031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800402 (or 1800396 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 144031120 is about 12001.2965966182. The cubic root of 144031120 is about 524.1860342111.

Adding to 144031120 its reverse (21130441), we get a palindrome (165161561).

The spelling of 144031120 in words is "one hundred forty-four million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1800389 3600778 7201556 9001945 14403112 18003890 28806224 36007780 72015560 144031120