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1399127472 = 2433171937271
BaseRepresentation
bin101001101100100…
…1111110110110000
310121111201001002000
41103121033312300
510331134034342
6350500054000
746446246561
oct12331176660
93544631060
101399127472
116588531a6
12330694300
13193b345a2
14d3b66168
1582c7144c
hex5364fdb0

1399127472 has 320 divisors, whose sum is σ = 4613990400. Its totient is φ = 403107840.

The previous prime is 1399127461. The next prime is 1399127473. The reversal of 1399127472 is 2747219931.

It is a super-2 number, since 2×13991274722 = 3915115365810221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1399127473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5162697 + ... + 5162967.

It is an arithmetic number, because the mean of its divisors is an integer number (14418720).

Almost surely, 21399127472 is an apocalyptic number.

1399127472 is a gapful number since it is divisible by the number (12) 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 1399127472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306995200).

1399127472 is an abundant number, since it is smaller than the sum of its proper divisors (3214862928).

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

1399127472 is a wasteful number, since it uses less digits than its factorization.

1399127472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 1399127472 is about 37404.9124046562. The cubic root of 1399127472 is about 1118.4564920165.

The spelling of 1399127472 in words is "one billion, three hundred ninety-nine million, one hundred twenty-seven thousand, four hundred seventy-two".