Search a number
-
+
144041460 = 22358232917
BaseRepresentation
bin10001001010111…
…10010111110100
3101001001001201220
420211132113310
5243333311320
622143150340
73366221643
oct1045362764
9331031656
10144041460
1174342532
12402a53b0
1323ac3a44
14151b735a
15c9a3e40
hex895e5f4

144041460 has 48 divisors (see below), whose sum is σ = 403944576. Its totient is φ = 38351232.

The previous prime is 144041449. The next prime is 144041461. The reversal of 144041460 is 64140441.

It is a self number, because there is not a number n which added to its sum of digits gives 144041460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144041461) 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, 47922 + ... + 50838.

It is an arithmetic number, because the mean of its divisors is an integer number (8415512).

Almost surely, 2144041460 is an apocalyptic number.

144041460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144041460 is an abundant number, since it is smaller than the sum of its proper divisors (259903116).

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

144041460 is a wasteful number, since it uses less digits than its factorization.

144041460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 144041460 is about 12001.7273756739. The cubic root of 144041460 is about 524.1985776899.

The spelling of 144041460 in words is "one hundred forty-four million, forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 823 1646 2469 2917 3292 4115 4938 5834 8230 8751 9876 11668 12345 14585 16460 17502 24690 29170 35004 43755 49380 58340 87510 175020 2400691 4801382 7202073 9602764 12003455 14404146 24006910 28808292 36010365 48013820 72020730 144041460