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14213192448 = 2837213171709
BaseRepresentation
bin11010011110010110…
…00001101100000000
31100200112121222122010
431033023001230000
5213102034124243
610310210012520
71012134066600
oct151713015400
940615558563
1014213192448
116033a81944
122907b77140
131456834b60
1498b930c00
15582be6433
hex34f2c1b00

14213192448 has 432 divisors, whose sum is σ = 50205627360. Its totient is φ = 3525967872.

The previous prime is 14213192443. The next prime is 14213192473. The reversal of 14213192448 is 84429131241.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14213192443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8315818 + ... + 8317526.

It is an arithmetic number, because the mean of its divisors is an integer number (116216730).

Almost surely, 214213192448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14213192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25102813680).

14213192448 is an abundant number, since it is smaller than the sum of its proper divisors (35992434912).

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

14213192448 is a wasteful number, since it uses less digits than its factorization.

14213192448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1751 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 14213192448 in words is "fourteen billion, two hundred thirteen million, one hundred ninety-two thousand, four hundred forty-eight".