[go: up one dir, main page]

Search a number
-
+
144471040 = 2105729139
BaseRepresentation
bin10001001110001…
…11010000000000
3101001211220000021
420213013100000
5243441033130
622200303224
73402661240
oct1047072000
9331756007
10144471040
117460625a
1240471b14
1323c1442c
1415289b20
15ca3b37a
hex89c7400

144471040 has 176 divisors, whose sum is σ = 412675200. Its totient is φ = 47480832.

The previous prime is 144471037. The next prime is 144471043. The reversal of 144471040 is 40174441.

It is an interprime number because it is at equal distance from previous prime (144471037) and next prime (144471043).

It is a junction number, because it is equal to n+sod(n) for n = 144470996 and 144471014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144471043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039291 + ... + 1039429.

Almost surely, 2144471040 is an apocalyptic number.

144471040 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 144471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206337600).

144471040 is an abundant number, since it is smaller than the sum of its proper divisors (268204160).

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

144471040 is a wasteful number, since it uses less digits than its factorization.

144471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

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

The square root of 144471040 is about 12019.6106426123. The cubic root of 144471040 is about 524.7191725609.

The spelling of 144471040 in words is "one hundred forty-four million, four hundred seventy-one thousand, forty".