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144351104 = 272514493
BaseRepresentation
bin10001001101010…
…01111110000000
3101001121210111012
420212221332000
5243423213404
622153540052
73401651462
oct1046517600
9331553435
10144351104
1174534137
1240414628
1323ba1971
1415258132
15ca15a6e
hex89a9f80

144351104 has 32 divisors (see below), whose sum is σ = 288784440. Its totient is φ = 71872000.

The previous prime is 144351019. The next prime is 144351133. The reversal of 144351104 is 401153441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144351104.

It is a congruent number.

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, 29882 + ... + 34374.

Almost surely, 2144351104 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 144351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144392220).

144351104 is an abundant number, since it is smaller than the sum of its proper divisors (144433336).

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

144351104 is an equidigital number, since it uses as much as digits as its factorization.

144351104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 144351104 is about 12014.6204267967. The cubic root of 144351104 is about 524.5739297456.

The spelling of 144351104 in words is "one hundred forty-four million, three hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 251 502 1004 2008 4016 4493 8032 8986 16064 17972 32128 35944 71888 143776 287552 575104 1127743 2255486 4510972 9021944 18043888 36087776 72175552 144351104