Search a number
-
+
144154080 = 2534572227
BaseRepresentation
bin10001001011110…
…01110111100000
3101001020210020000
420211321313200
5243400412310
622145420000
73400201200
oct1045716740
9331223200
10144154080
117440a104
124033a600
1323b33095
1415206400
15c9c74c0
hex8979de0

144154080 has 360 divisors, whose sum is σ = 594411048. Its totient is φ = 32804352.

The previous prime is 144154079. The next prime is 144154081. The reversal of 144154080 is 80451441.

It is a happy number.

144154080 is a `hidden beast` number, since 1 + 4 + 41 + 540 + 80 = 666.

144154080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144154079) and next prime (144154081).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144154081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634927 + ... + 635153.

Almost surely, 2144154080 is an apocalyptic number.

144154080 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 144154080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297205524).

144154080 is an abundant number, since it is smaller than the sum of its proper divisors (450256968).

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

144154080 is a wasteful number, since it uses less digits than its factorization.

144154080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 144154080 is about 12006.4182835682. The cubic root of 144154080 is about 524.3351584234.

The spelling of 144154080 in words is "one hundred forty-four million, one hundred fifty-four thousand, eighty".