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144090037 = 7213226201
BaseRepresentation
bin10001001011010…
…10001110110101
3101001010112101001
420211222032311
5243341340122
622144203301
73366513400
oct1045521665
9331115331
10144090037
1174375a83
1240309531
1323b0cba0
14151cad37
15c9b3527
hex896a3b5

144090037 has 12 divisors (see below), whose sum is σ = 180509196. Its totient is φ = 114004800.

The previous prime is 144089989. The next prime is 144090061. The reversal of 144090037 is 730090441.

144090037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 92910321 + 51179716 = 9639^2 + 7154^2 .

It is not a de Polignac number, because 144090037 - 219 = 143565749 is a prime.

It is a super-2 number, since 2×1440900372 = 41523877525322738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144089987 and 144090014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144090637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112464 + ... + 113737.

It is an arithmetic number, because the mean of its divisors is an integer number (15042433).

Almost surely, 2144090037 is an apocalyptic number.

It is an amenable number.

144090037 is a deficient number, since it is larger than the sum of its proper divisors (36419159).

144090037 is a wasteful number, since it uses less digits than its factorization.

144090037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226228 (or 226221 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 144090037 is about 12003.7509554306. The cubic root of 144090037 is about 524.2574985319.

The spelling of 144090037 in words is "one hundred forty-four million, ninety thousand, thirty-seven".

Divisors: 1 7 13 49 91 637 226201 1583407 2940613 11083849 20584291 144090037