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1399414016 = 287111343127
BaseRepresentation
bin101001101101001…
…0101110100000000
310121112020121010202
41103122111310000
510331222222031
6350510144332
746451552150
oct12332256400
93545217122
101399414016
11658a29510
123307b20a8
13193c04b40
14d3bdc760
1582ccb2cb
hex53695d00

1399414016 has 288 divisors, whose sum is σ = 3867967488. Its totient is φ = 487710720.

The previous prime is 1399413971. The next prime is 1399414021. The reversal of 1399414016 is 6104149931.

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 31 ways as a sum of consecutive naturals, for example, 11018945 + ... + 11019071.

Almost surely, 21399414016 is an apocalyptic number.

1399414016 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 1399414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933983744).

1399414016 is an abundant number, since it is smaller than the sum of its proper divisors (2468553472).

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

1399414016 is a wasteful number, since it uses less digits than its factorization.

1399414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 1399414016 is about 37408.7425076011. The cubic root of 1399414016 is about 1118.5328408189.

The spelling of 1399414016 in words is "one billion, three hundred ninety-nine million, four hundred fourteen thousand, sixteen".