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14041444410 = 232572191131483
BaseRepresentation
bin11010001001110111…
…10111000000111010
31100020120110021121200
431010323313000322
5212224102210120
610241152515030
71004650210500
oct150473670072
940216407550
1014041444410
115a56036014
12287a54ba76
13142a08ccb6
14972bc4670
15572abce90
hex344ef703a

14041444410 has 288 divisors, whose sum is σ = 45129389760. Its totient is φ = 3011613696.

The previous prime is 14041444387. The next prime is 14041444477. The reversal of 14041444410 is 1444414041.

14041444410 is a `hidden beast` number, since 140 + 41 + 44 + 441 + 0 = 666.

14041444410 is a nontrivial binomial coefficient, being equal to C(167580, 2).

It is a super-2 number, since 2×140414444102 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9467529 + ... + 9469011.

It is an arithmetic number, because the mean of its divisors is an integer number (156699270).

Almost surely, 214041444410 is an apocalyptic number.

14041444410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14041444410 is the 167579-th triangular number and also the 83790-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14041444410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22564694880).

14041444410 is an abundant number, since it is smaller than the sum of its proper divisors (31087945350).

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

14041444410 is a wasteful number, since it uses less digits than its factorization.

14041444410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14041444410 its reverse (1444414041), we get a palindrome (15485858451).

The spelling of 14041444410 in words is "fourteen billion, forty-one million, four hundred forty-four thousand, four hundred ten".