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141213696 = 214313217
BaseRepresentation
bin10000110101011…
…00000000000000
3100211201101202220
420122230000000
5242122314241
622002411040
73333203511
oct1032540000
9324641686
10141213696
1172790a38
123b360a80
1323343900
1414a7ca08
15c5e6166
hex86ac000

141213696 has 180 divisors, whose sum is σ = 431737992. Its totient is φ = 40894464.

The previous prime is 141213691. The next prime is 141213701. The reversal of 141213696 is 696312141.

141213696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141213691) and next prime (141213701).

It is not an unprimeable number, because it can be changed into a prime (141213691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8306680 + ... + 8306696.

Almost surely, 2141213696 is an apocalyptic number.

141213696 is a gapful number since it is divisible by the number (16) 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 141213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215868996).

141213696 is an abundant number, since it is smaller than the sum of its proper divisors (290524296).

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

141213696 is an equidigital number, since it uses as much as digits as its factorization.

141213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 35 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 141213696 is about 11883.3369050953. The cubic root of 141213696 is about 520.7455970884.

The spelling of 141213696 in words is "one hundred forty-one million, two hundred thirteen thousand, six hundred ninety-six".