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144065680 = 24511315281
BaseRepresentation
bin10001001011001…
…00010010010000
3101001002021221221
420211210102100
5243340100210
622143454424
73366352363
oct1045442220
9331067857
10144065680
1174359750
12402b7414
1323b01a85
14151c20da
15c9ab1da
hex8964490

144065680 has 80 divisors (see below), whose sum is σ = 377261568. Its totient is φ = 50688000.

The previous prime is 144065659. The next prime is 144065681. The reversal of 144065680 is 86560441.

144065680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (144065681) 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, 24640 + ... + 29920.

Almost surely, 2144065680 is an apocalyptic number.

144065680 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 144065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188630784).

144065680 is an abundant number, since it is smaller than the sum of its proper divisors (233195888).

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

144065680 is a wasteful number, since it uses less digits than its factorization.

144065680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 144065680 is about 12002.7363546818. The cubic root of 144065680 is about 524.2279566803.

The spelling of 144065680 in words is "one hundred forty-four million, sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5281 5456 6820 10562 13640 21124 26405 27280 42248 52810 58091 84496 105620 116182 163711 211240 232364 290455 327422 422480 464728 580910 654844 818555 929456 1161820 1309688 1637110 1800821 2323640 2619376 3274220 3601642 4647280 6548440 7203284 9004105 13096880 14406568 18008210 28813136 36016420 72032840 144065680