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144404096 = 272235059
BaseRepresentation
bin10001001101101…
…10111010000000
3101001201111011212
420212312322000
5243431412341
622155025252
73402262124
oct1046667200
9331644155
10144404096
117456aa31
124043b228
1323bbcb15
141526d584
15ca265eb
hex89b6e80

144404096 has 32 divisors (see below), whose sum is σ = 289027200. Its totient is φ = 71864064.

The previous prime is 144404087. The next prime is 144404111. The reversal of 144404096 is 690404441.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26015 + ... + 31073.

It is an arithmetic number, because the mean of its divisors is an integer number (9032100).

Almost surely, 2144404096 is an apocalyptic number.

144404096 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 144404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144513600).

144404096 is an abundant number, since it is smaller than the sum of its proper divisors (144623104).

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

144404096 is an equidigital number, since it uses as much as digits as its factorization.

144404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 144404096 is about 12016.8255375536. The cubic root of 144404096 is about 524.6381131151.

The spelling of 144404096 in words is "one hundred forty-four million, four hundred four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 223 446 892 1784 3568 5059 7136 10118 14272 20236 28544 40472 80944 161888 323776 647552 1128157 2256314 4512628 9025256 18050512 36101024 72202048 144404096