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141211111314 = 237132293718541
BaseRepresentation
bin1000001110000011010…
…1101000111110010010
3111111111020121201010210
42003200311220332102
54303200021030224
6144512124104550
713126225433040
oct2034065507622
9444436551123
10141211111314
1154983a99a89
122344b395156
1310415776b00
146b98411390
153a17204429
hex20e0d68f92

141211111314 has 192 divisors, whose sum is σ = 371350275840. Its totient is φ = 34984535040.

The previous prime is 141211111313. The next prime is 141211111331. The reversal of 141211111314 is 413111112141.

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

It is not an unprimeable number, because it can be changed into a prime (141211111313) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7606884 + ... + 7625424.

It is an arithmetic number, because the mean of its divisors is an integer number (1934116020).

Almost surely, 2141211111314 is an apocalyptic number.

141211111314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141211111314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185675137920).

141211111314 is an abundant number, since it is smaller than the sum of its proper divisors (230139164526).

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

141211111314 is a wasteful number, since it uses less digits than its factorization.

141211111314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18645 (or 18632 counting only the distinct ones).

The product of its digits is 96, while the sum is 21.

Adding to 141211111314 its reverse (413111112141), we get a palindrome (554322223455).

The spelling of 141211111314 in words is "one hundred forty-one billion, two hundred eleven million, one hundred eleven thousand, three hundred fourteen".