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14212041140 = 225111731373313
BaseRepresentation
bin11010011110001101…
…01000100110110100
31100200110110111100002
431033012220212310
5213101240304030
610310125210432
71012121233163
oct151706504664
940613414302
1014212041140
116033365950
122907700a18
131456520acb
1498b7113da
15582a6a245
hex34f1a89b4

14212041140 has 192 divisors, whose sum is σ = 36558563328. Its totient is φ = 4578508800.

The previous prime is 14212041133. The next prime is 14212041161. The reversal of 14212041140 is 4114021241.

14212041140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142120411402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4288124 + ... + 4291436.

It is an arithmetic number, because the mean of its divisors is an integer number (190409184).

Almost surely, 214212041140 is an apocalyptic number.

14212041140 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 14212041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18279281664).

14212041140 is an abundant number, since it is smaller than the sum of its proper divisors (22346522188).

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

14212041140 is a wasteful number, since it uses less digits than its factorization.

14212041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14212041140 its reverse (4114021241), we get a palindrome (18326062381).

The spelling of 14212041140 in words is "fourteen billion, two hundred twelve million, forty-one thousand, one hundred forty".