Search a number
-
+
314043444001424 = 2450938561326621
BaseRepresentation
bin100011101100111101110111…
…1111011000111101010010000
31112011221021000120102110220102
41013121323233323013222100
5312130241433131021144
63031525322211031532
7123101614205101004
oct10731735773075220
91464837016373812
10314043444001424
1191078093052415
122b27b881b9b5a8
1310630228a9c087
145779ad8a14704
152648ecd78db4e
hex11d9eefec7a90

314043444001424 has 20 divisors (see below), whose sum is σ = 609654573893820. Its totient is φ = 156713231383680.

The previous prime is 314043444001409. The next prime is 314043444001429. The reversal of 314043444001424 is 424100444340413.

It can be written as a sum of positive squares in 2 ways, for example, as 147129136902400 + 166914307099024 = 12129680^2 + 12919532^2 .

It is not an unprimeable number, because it can be changed into a prime (314043444001429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19280655167 + ... + 19280671454.

It is an arithmetic number, because the mean of its divisors is an integer number (30482728694691).

Almost surely, 2314043444001424 is an apocalyptic number.

It is an amenable number.

314043444001424 is a deficient number, since it is larger than the sum of its proper divisors (295611129892396).

314043444001424 is a wasteful number, since it uses less digits than its factorization.

314043444001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38561327138 (or 38561327132 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 314043444001424 its reverse (424100444340413), we get a palindrome (738143888341837).

The spelling of 314043444001424 in words is "three hundred fourteen trillion, forty-three billion, four hundred forty-four million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 509 1018 2036 4072 8144 38561326621 77122653242 154245306484 308490612968 616981225936 19627715250089 39255430500178 78510861000356 157021722000712 314043444001424