Search a number
-
+
144449856 = 26321967197
BaseRepresentation
bin10001001110000…
…10000101000000
3101001210210221200
420213002011000
5243434343411
622200021200
73402542415
oct1047020500
9331723850
10144449856
11745a1351
1240461800
1323c078b5
141528210c
15ca34e56
hex89c2140

144449856 has 168 divisors, whose sum is σ = 444581280. Its totient is φ = 44706816.

The previous prime is 144449849. The next prime is 144449869. The reversal of 144449856 is 658944441.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (552960) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733150 + ... + 733346.

Almost surely, 2144449856 is an apocalyptic number.

144449856 is a gapful number since it is divisible by the number (16) 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 144449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222290640).

144449856 is an abundant number, since it is smaller than the sum of its proper divisors (300131424).

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

144449856 is a wasteful number, since it uses less digits than its factorization.

144449856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 144449856 is about 12018.7293837577. The cubic root of 144449856 is about 524.6935245272.

The spelling of 144449856 in words is "one hundred forty-four million, four hundred forty-nine thousand, eight hundred fifty-six".