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144406184 = 23133147953
BaseRepresentation
bin10001001101101…
…11011010101000
3101001201121001012
420212313122220
5243431444214
622155043052
73402301166
oct1046673250
9331647035
10144406184
117457155a
1240440488
1323bc0a60
1415270236
15ca2703e
hex89b76a8

144406184 has 64 divisors (see below), whose sum is σ = 307722240. Its totient is φ = 63060480.

The previous prime is 144406151. The next prime is 144406193. The reversal of 144406184 is 481604441.

144406184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144406184.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151052 + ... + 152004.

It is an arithmetic number, because the mean of its divisors is an integer number (4808160).

Almost surely, 2144406184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144406184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861120).

144406184 is an abundant number, since it is smaller than the sum of its proper divisors (163316056).

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

144406184 is a wasteful number, since it uses less digits than its factorization.

144406184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 144406184 is about 12016.9124154252. The cubic root of 144406184 is about 524.6406417578.

The spelling of 144406184 in words is "one hundred forty-four million, four hundred six thousand, one hundred eighty-four".

Divisors: 1 2 4 8 13 26 31 47 52 62 94 104 124 188 248 376 403 611 806 953 1222 1457 1612 1906 2444 2914 3224 3812 4888 5828 7624 11656 12389 18941 24778 29543 37882 44791 49556 59086 75764 89582 99112 118172 151528 179164 236344 358328 384059 582283 768118 1164566 1388521 1536236 2329132 2777042 3072472 4658264 5554084 11108168 18050773 36101546 72203092 144406184