Search a number
-
+
1444312400014 = 2111719210697501
BaseRepresentation
bin10101000001000111101…
…110100100000010001110
312010002000121120221200101
4111001013232210002032
5142130422433300024
63023301415121314
7206230256560441
oct25010756440216
95102017527611
101444312400014
11507590773290
121b3b0137323a
13a627622aa03
144dc9580b658
1527883529c44
hex15047ba408e

1444312400014 has 48 divisors (see below), whose sum is σ = 2641084873776. Its totient is φ = 585367200000.

The previous prime is 1444312399973. The next prime is 1444312400053. The reversal of 1444312400014 is 4100042134441.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5213737 + ... + 5483764.

It is an arithmetic number, because the mean of its divisors is an integer number (55022601537).

Almost surely, 21444312400014 is an apocalyptic number.

1444312400014 is a deficient number, since it is larger than the sum of its proper divisors (1196772473762).

1444312400014 is a wasteful number, since it uses less digits than its factorization.

1444312400014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697569 (or 10697550 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1444312400014 its reverse (4100042134441), we get a palindrome (5544354534455).

The spelling of 1444312400014 in words is "one trillion, four hundred forty-four billion, three hundred twelve million, four hundred thousand, fourteen".

Divisors: 1 2 11 17 19 22 34 38 187 209 323 361 374 418 646 722 3553 3971 6137 7106 7942 12274 67507 135014 10697501 21395002 117672511 181857517 203252519 235345022 363715034 406505038 2000432687 2235777709 3455292823 3861797861 4000865374 4471555418 6910585646 7723595722 38008221053 42479776471 65650563637 76016442106 84959552942 131301127274 722156200007 1444312400014