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14024141040 = 2435721391733
BaseRepresentation
bin11010000111110011…
…10110100011110000
31100012100220011212010
431003321312203300
5212210140003130
610235334002520
71004350142400
oct150371664360
940170804763
1014024141040
115a47297808
1228747a6440
131426612110
1497079c800
155713010b0
hex343e768f0

14024141040 has 240 divisors, whose sum is σ = 54463576608. Its totient is φ = 2958907392.

The previous prime is 14024141017. The next prime is 14024141051. The reversal of 14024141040 is 4014142041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14024140998 and 14024141016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107014 + ... + 198746.

Almost surely, 214024141040 is an apocalyptic number.

14024141040 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 14024141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231788304).

14024141040 is an abundant number, since it is smaller than the sum of its proper divisors (40439435568).

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

14024141040 is a wasteful number, since it uses less digits than its factorization.

14024141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91776 (or 91763 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14024141040 its reverse (4014142041), we get a palindrome (18038283081).

The spelling of 14024141040 in words is "fourteen billion, twenty-four million, one hundred forty-one thousand, forty".