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144401024 = 271736521
BaseRepresentation
bin10001001101101…
…10001010000000
3101001201022222002
420212312022000
5243431313044
622155003132
73402250145
oct1046661200
9331638862
10144401024
1174568699
12404394a8
1323bbb5c1
141526c3cc
15ca2574e
hex89b6280

144401024 has 32 divisors (see below), whose sum is σ = 289381140. Its totient is φ = 71772160.

The previous prime is 144401021. The next prime is 144401027. The reversal of 144401024 is 420104441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144401021) and next prime (144401027).

It can be written as a sum of positive squares in 2 ways, for example, as 111682624 + 32718400 = 10568^2 + 5720^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 144400987 and 144401005.

It is not an unprimeable number, because it can be changed into a prime (144401021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18884 + ... + 25404.

Almost surely, 2144401024 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 144401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144690570).

144401024 is an abundant number, since it is smaller than the sum of its proper divisors (144980116).

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

144401024 is an equidigital number, since it uses as much as digits as its factorization.

144401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144401024 is about 12016.6977160949. The cubic root of 144401024 is about 524.6343927689.

Adding to 144401024 its reverse (420104441), we get a palindrome (564505465).

The spelling of 144401024 in words is "one hundred forty-four million, four hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 6521 11072 13042 22144 26084 52168 104336 208672 417344 834688 1128133 2256266 4512532 9025064 18050128 36100256 72200512 144401024