Search a number
-
+
1399014816 = 25359924329
BaseRepresentation
bin101001101100011…
…0100010110100000
310121111111022112120
41103120310112200
510331121433231
6350453424240
746445300253
oct12330642640
93544438476
101399014816
116587865a1
1233063b080
13193ac5224
14d3b3709a
1582c4cd96
hex536345a0

1399014816 has 48 divisors (see below), whose sum is σ = 3678696000. Its totient is φ = 465540608.

The previous prime is 1399014803. The next prime is 1399014817. The reversal of 1399014816 is 6184109931.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1399014817) by changing a digit.

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, 45340 + ... + 69668.

It is an arithmetic number, because the mean of its divisors is an integer number (76639500).

Almost surely, 21399014816 is an apocalyptic number.

1399014816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1399014816 is an abundant number, since it is smaller than the sum of its proper divisors (2279681184).

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

1399014816 is a wasteful number, since it uses less digits than its factorization.

1399014816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24941 (or 24933 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1399014816 is about 37403.4064758813. The cubic root of 1399014816 is about 1118.4264723033.

The spelling of 1399014816 in words is "one billion, three hundred ninety-nine million, fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 599 1198 1797 2396 3594 4792 7188 9584 14376 19168 24329 28752 48658 57504 72987 97316 145974 194632 291948 389264 583896 778528 1167792 2335584 14573071 29146142 43719213 58292284 87438426 116584568 174876852 233169136 349753704 466338272 699507408 1399014816