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144407140 = 2257398909
BaseRepresentation
bin10001001101101…
…11101001100100
3101001201122100121
420212313221210
5243432012030
622155051324
73402304033
oct1046675144
9331648317
10144407140
1174572249
1240440b44
1323bc1317
141527071a
15ca2747a
hex89b7a64

144407140 has 24 divisors (see below), whose sum is σ = 307412280. Its totient is φ = 56971008.

The previous prime is 144407117. The next prime is 144407143. The reversal of 144407140 is 41704441.

144407140 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 4 ways, for example, as 43243776 + 101163364 = 6576^2 + 10058^2 .

It is not an unprimeable number, because it can be changed into a prime (144407143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47995 + ... + 50914.

It is an arithmetic number, because the mean of its divisors is an integer number (12808845).

Almost surely, 2144407140 is an apocalyptic number.

144407140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144407140 is an abundant number, since it is smaller than the sum of its proper divisors (163005140).

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

144407140 is a wasteful number, since it uses less digits than its factorization.

144407140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98991 (or 98989 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 144407140 is about 12016.9521926319. The cubic root of 144407140 is about 524.6417994999.

The spelling of 144407140 in words is "one hundred forty-four million, four hundred seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 98909 197818 395636 494545 989090 1978180 7220357 14440714 28881428 36101785 72203570 144407140