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144130323402144 = 2532500452511813
BaseRepresentation
bin100000110001010111110100…
…101110100100110110100000
3200220022201120001102000111100
4200301113310232210312200
5122342412400242332034
61230312320111514400
742234033526655022
oct4061276456446640
9626281501360440
10144130323402144
1141a193660aa842
12141b9509828a00
13625657b3b3571
142783d32a3c012
15119e2618dd099
hex8315f4ba4da0

144130323402144 has 36 divisors (see below), whose sum is σ = 409870607175666. Its totient is φ = 48043441133952.

The previous prime is 144130323402127. The next prime is 144130323402151. The reversal of 144130323402144 is 441204323031441.

144130323402144 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 303 + 2 + 340 + 2 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132532130307600 + 11598193094544 = 11512260^2 + 3405612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144130323402099 and 144130323402108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250226255619 + ... + 250226256194.

Almost surely, 2144130323402144 is an apocalyptic number.

It is an amenable number.

144130323402144 is an abundant number, since it is smaller than the sum of its proper divisors (265740283773522).

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

144130323402144 is a wasteful number, since it uses less digits than its factorization.

144130323402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500452511829 (or 500452511818 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144130323402144 its reverse (441204323031441), we get a palindrome (585334646433585).

The spelling of 144130323402144 in words is "one hundred forty-four trillion, one hundred thirty billion, three hundred twenty-three million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 500452511813 1000905023626 1501357535439 2001810047252 3002715070878 4003620094504 4504072606317 6005430141756 8007240189008 9008145212634 12010860283512 16014480378016 18016290425268 24021720567024 36032580850536 48043441134048 72065161701072 144130323402144