Search a number
-
+
1014004431444 = 223252509334643
BaseRepresentation
bin11101100000101110101…
…11111011101001010100
310120221022201020020212010
432300113113323221110
5113103140113301234
62053454402024220
7133154655312144
oct16602727735124
93527281206763
101014004431444
11361045080584
12144630048070
137480a799774
1437114354924
151b59ae726e9
hexec175fba54

1014004431444 has 24 divisors (see below), whose sum is σ = 2366026780320. Its totient is φ = 337999128544.

The previous prime is 1014004431443. The next prime is 1014004431493. The reversal of 1014004431444 is 4441344004101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014004431443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2862787 + ... + 3197429.

It is an arithmetic number, because the mean of its divisors is an integer number (98584449180).

Almost surely, 21014004431444 is an apocalyptic number.

It is an amenable number.

1014004431444 is an abundant number, since it is smaller than the sum of its proper divisors (1352022348876).

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

1014004431444 is a wasteful number, since it uses less digits than its factorization.

1014004431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587159 (or 587157 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1014004431444 its reverse (4441344004101), we get a palindrome (5455348435545).

The spelling of 1014004431444 in words is "one trillion, fourteen billion, four million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 252509 334643 505018 669286 757527 1003929 1010036 1338572 1515054 2007858 3030108 4015716 84500369287 169000738574 253501107861 338001477148 507002215722 1014004431444