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144324231440 = 24510331746421
BaseRepresentation
bin1000011001101001100…
…1010000000100010000
3111210112012111121010012
42012122121100010100
54331034000401230
6150145053054052
713266326504024
oct2063231200420
9453465447105
10144324231440
11562312a2234
1223b79a87328
13107c071691c
146db1a62384
153b4a690395
hex219a650110

144324231440 has 40 divisors (see below), whose sum is σ = 335878864728. Its totient is φ = 57673774080.

The previous prime is 144324231437. The next prime is 144324231461. The reversal of 144324231440 is 44132423441.

It can be written as a sum of positive squares in 4 ways, for example, as 59190997264 + 85133234176 = 243292^2 + 291776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 144324231397 and 144324231406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790571 + ... + 955850.

Almost surely, 2144324231440 is an apocalyptic number.

144324231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144324231440 is an abundant number, since it is smaller than the sum of its proper divisors (191554633288).

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

144324231440 is a wasteful number, since it uses less digits than its factorization.

144324231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747467 (or 1747461 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144324231440 its reverse (44132423441), we get a palindrome (188456654881).

The spelling of 144324231440 in words is "one hundred forty-four billion, three hundred twenty-four million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1033 2066 4132 5165 8264 10330 16528 20660 41320 82640 1746421 3492842 6985684 8732105 13971368 17464210 27942736 34928420 69856840 139713680 1804052893 3608105786 7216211572 9020264465 14432423144 18040528930 28864846288 36081057860 72162115720 144324231440