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144400420 = 22561118361
BaseRepresentation
bin10001001101101…
…10000000100100
3101001201022010201
420212312000210
5243431303140
622155000244
73402245323
oct1046660044
9331638121
10144400420
117456819a
1240439084
1323bbb248
141526c0ba
15ca2549a
hex89b6024

144400420 has 24 divisors (see below), whose sum is σ = 308214648. Its totient is φ = 56812800.

The previous prime is 144400369. The next prime is 144400423. The reversal of 144400420 is 24004441.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 122722084 = 4656^2 + 11078^2 .

It is not an unprimeable number, because it can be changed into a prime (144400423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57961 + ... + 60400.

It is an arithmetic number, because the mean of its divisors is an integer number (12842277).

Almost surely, 2144400420 is an apocalyptic number.

144400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144400420 is an abundant number, since it is smaller than the sum of its proper divisors (163814228).

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

144400420 is a wasteful number, since it uses less digits than its factorization.

144400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118431 (or 118429 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 144400420 is about 12016.6725843721. The cubic root of 144400420 is about 524.6336612883.

Adding to 144400420 its reverse (24004441), we get a palindrome (168404861).

The spelling of 144400420 in words is "one hundred forty-four million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 118361 236722 473444 591805 1183610 2367220 7220021 14440042 28880084 36100105 72200210 144400420