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14219874048 = 28321187751
BaseRepresentation
bin11010011111001001…
…00000111100000000
31100201000012110001210
431033210200330000
5213110241432143
610311005130120
71012244635512
oct151744407400
940630173053
1014219874048
116037825926
12290a259940
131458034173
1498c78dbb2
155835b6033
hex34f920f00

14219874048 has 72 divisors (see below), whose sum is σ = 38025398656. Its totient is φ = 4717440000.

The previous prime is 14219874047. The next prime is 14219874079. The reversal of 14219874048 is 84047891241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14219873988 and 14219874006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14219874041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118173 + ... + 205923.

Almost surely, 214219874048 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 14219874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19012699328).

14219874048 is an abundant number, since it is smaller than the sum of its proper divisors (23805524608).

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

14219874048 is an equidigital number, since it uses as much as digits as its factorization.

14219874048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87981 (or 87967 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 14219874048 in words is "fourteen billion, two hundred nineteen million, eight hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 256 384 422 633 768 844 1266 1688 2532 3376 5064 6752 10128 13504 20256 27008 40512 54016 81024 87751 162048 175502 263253 351004 526506 702008 1053012 1404016 2106024 2808032 4212048 5616064 8424096 11232128 16848192 18515461 22464256 33696384 37030922 55546383 67392768 74061844 111092766 148123688 222185532 296247376 444371064 592494752 888742128 1184989504 1777484256 2369979008 3554968512 4739958016 7109937024 14219874048