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1400256401 = 97109132437
BaseRepresentation
bin101001101110110…
…0011011110010001
310121120211101200012
41103131203132101
510331431201101
6350540204305
746461661115
oct12335433621
93546741605
101400256401
116594543a5
12330b39695
1319413b3ab
14d3d7b745
1582de5bbb
hex53763791

1400256401 has 8 divisors (see below), whose sum is σ = 1427681640. Its totient is φ = 1373096448.

The previous prime is 1400256349. The next prime is 1400256409. The reversal of 1400256401 is 1046520041.

It is a Cunningham number, because it is equal to 374202+1.

It can be written as a sum of positive squares in 4 ways, for example, as 628805776 + 771450625 = 25076^2 + 27775^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1400256401 - 218 = 1399994257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1400256409) 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 7 ways as a sum of consecutive naturals, for example, 55646 + ... + 76791.

It is an arithmetic number, because the mean of its divisors is an integer number (178460205).

Almost surely, 21400256401 is an apocalyptic number.

It is an amenable number.

1400256401 is a deficient number, since it is larger than the sum of its proper divisors (27425239).

1400256401 is a wasteful number, since it uses less digits than its factorization.

1400256401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132643.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1400256401 is about 37420.0000133618. Note that the first 4 decimals coincide. The cubic root of 1400256401 is about 1118.7572314754.

Adding to 1400256401 its reverse (1046520041), we get a palindrome (2446776442).

The spelling of 1400256401 in words is "one billion, four hundred million, two hundred fifty-six thousand, four hundred one".

Divisors: 1 97 109 10573 132437 12846389 14435633 1400256401