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144613361340 = 22345731411371
BaseRepresentation
bin1000011010101110100…
…0001100011010111100
3111211021100112220210000
42012223220030122330
54332132010030330
6150233502114300
713306440201240
oct2065350143274
9454240486700
10144613361340
115636a521868
122403a87b990
13108385a9ac6
146ddc206420
153b65c53560
hex21aba0c6bc

144613361340 has 240 divisors, whose sum is σ = 535191681024. Its totient is φ = 31988131200.

The previous prime is 144613361329. The next prime is 144613361407. The reversal of 144613361340 is 43163316441.

144613361340 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 1 + 33 + 613 + 4 + 0 = 666.

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 = 144613361295 and 144613361304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145855 + ... + 557225.

Almost surely, 2144613361340 is an apocalyptic number.

144613361340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144613361340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267595840512).

144613361340 is an abundant number, since it is smaller than the sum of its proper divisors (390578319684).

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

144613361340 is a wasteful number, since it uses less digits than its factorization.

144613361340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411430 (or 411419 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 144613361340 its reverse (43163316441), we get a palindrome (187776677781).

The spelling of 144613361340 in words is "one hundred forty-four billion, six hundred thirteen million, three hundred sixty-one thousand, three hundred forty".