Search a number
-
+
1400314112 = 2824122697
BaseRepresentation
bin101001101110111…
…0001100100000000
310121120221022211122
41103131301210000
510331440022422
6350541331412
746462321301
oct12335614400
93546838748
101400314112
1165949379a
12330b66b68
1319415b742
14d3d947a8
1582e07d42
hex53771900

1400314112 has 36 divisors (see below), whose sum is σ = 2806880076. Its totient is φ = 697221120.

The previous prime is 1400314081. The next prime is 1400314141. The reversal of 1400314112 is 2114130041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 380406016 + 1019908096 = 19504^2 + 31936^2 .

It is a super-2 number, since 2×14003141122 = 3921759224532697088, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 50348 + ... + 73044.

It is an arithmetic number, because the mean of its divisors is an integer number (77968891).

Almost surely, 21400314112 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 1400314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403440038).

1400314112 is an abundant number, since it is smaller than the sum of its proper divisors (1406565964).

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

1400314112 is an equidigital number, since it uses as much as digits as its factorization.

1400314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22954 (or 22940 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1400314112 is about 37420.7711304831. The cubic root of 1400314112 is about 1118.7726009728.

Adding to 1400314112 its reverse (2114130041), we get a palindrome (3514444153).

The spelling of 1400314112 in words is "one billion, four hundred million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 241 256 482 964 1928 3856 7712 15424 22697 30848 45394 61696 90788 181576 363152 726304 1452608 2905216 5469977 5810432 10939954 21879908 43759816 87519632 175039264 350078528 700157056 1400314112