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14041210140 = 223351929411151
BaseRepresentation
bin11010001001110101…
…11101110100011100
31100020120000101021000
431010322331310130
5212224022211030
610241143510300
71004645213466
oct150472756434
940216011230
1014041210140
115a55996001
12287a458390
13142a00a489
14972b63136
15572a73860
hex344ebdd1c

14041210140 has 384 divisors, whose sum is σ = 48771072000. Its totient is φ = 3338496000.

The previous prime is 14041210093. The next prime is 14041210151. The reversal of 14041210140 is 4101214041.

14041210140 is a `hidden beast` number, since 1 + 404 + 121 + 0 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12198565 + ... + 12199715.

It is an arithmetic number, because the mean of its divisors is an integer number (127008000).

Almost surely, 214041210140 is an apocalyptic number.

14041210140 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 14041210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536000).

14041210140 is an abundant number, since it is smaller than the sum of its proper divisors (34729861860).

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

14041210140 is a wasteful number, since it uses less digits than its factorization.

14041210140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14041210140 its reverse (4101214041), we get a palindrome (18142424181).

The spelling of 14041210140 in words is "fourteen billion, forty-one million, two hundred ten thousand, one hundred forty".