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2001400389 = 32472100669
BaseRepresentation
bin111011101001010…
…1111001001000101
312011110222200012100
41313102233021011
513044324303024
6530332542313
7100411423362
oct16722571105
95143880170
102001400389
1193781380a
1247a321999
1325b8478b1
1414db41469
15baa8c7c9
hex774af245

2001400389 has 18 divisors (see below), whose sum is σ = 2953758470. Its totient is φ = 1305865296.

The previous prime is 2001400351. The next prime is 2001400391. The reversal of 2001400389 is 9830041002.

It can be written as a sum of positive squares in only one way, i.e., 1972692225 + 28708164 = 44415^2 + 5358^2 .

It is not a de Polignac number, because 2001400389 - 29 = 2001399877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001400309) 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 17 ways as a sum of consecutive naturals, for example, 30454 + ... + 70215.

Almost surely, 22001400389 is an apocalyptic number.

It is an amenable number.

2001400389 is a deficient number, since it is larger than the sum of its proper divisors (952358081).

2001400389 is a wasteful number, since it uses less digits than its factorization.

2001400389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100769 (or 100719 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2001400389 is about 44737.0136352439. The cubic root of 2001400389 is about 1260.2150445509.

The spelling of 2001400389 in words is "two billion, one million, four hundred thousand, three hundred eighty-nine".

Divisors: 1 3 9 47 141 423 2209 6627 19881 100669 302007 906021 4731443 14194329 42582987 222377821 667133463 2001400389