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1419321216 = 27313926591
BaseRepresentation
bin101010010011001…
…0001111110000000
310122220200222200110
41110212101332000
510401321234331
6352500551320
750113013505
oct12446217600
93586628613
101419321216
11669196045
123373b2540
13198084c51
14d67014ac
158490e946
hex54991f80

1419321216 has 64 divisors (see below), whose sum is σ = 3797337600. Its totient is φ = 469685760.

The previous prime is 1419321209. The next prime is 1419321257. The reversal of 1419321216 is 6121239141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40081 + ... + 66671.

It is an arithmetic number, because the mean of its divisors is an integer number (59333400).

Almost surely, 21419321216 is an apocalyptic number.

1419321216 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 1419321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898668800).

1419321216 is an abundant number, since it is smaller than the sum of its proper divisors (2378016384).

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

1419321216 is a wasteful number, since it uses less digits than its factorization.

1419321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26747 (or 26735 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1419321216 is about 37673.8797577314. The cubic root of 1419321216 is about 1123.8117405263.

The spelling of 1419321216 in words is "one billion, four hundred nineteen million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 17792 26591 26688 53182 53376 79773 106364 159546 212728 319092 425456 638184 850912 1276368 1701824 2552736 3403648 3696149 5105472 7392298 10210944 11088447 14784596 22176894 29569192 44353788 59138384 88707576 118276768 177415152 236553536 354830304 473107072 709660608 1419321216