Search a number
-
+
314441031051 = 3372237672737
BaseRepresentation
bin1001001001101100010…
…01010101110110001011
31010001121221021102012000
410210312021111312023
520122433400443201
6400241402322043
731501066443600
oct4446611256613
91101557242160
10314441031051
11111398845704
1250b357b9323
1323861916cb4
141130d0206a7
1582a53acd86
hex4936255d8b

314441031051 has 24 divisors (see below), whose sum is σ = 541893842640. Its totient is φ = 179680588416.

The previous prime is 314441031011. The next prime is 314441031089. The reversal of 314441031051 is 150130144413.

314441031051 is a `hidden beast` number, since 3 + 144 + 410 + 3 + 105 + 1 = 666.

It is not a de Polignac number, because 314441031051 - 223 = 314432642443 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314441031001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118835046 + ... + 118837691.

It is an arithmetic number, because the mean of its divisors is an integer number (22578910110).

Almost surely, 2314441031051 is an apocalyptic number.

314441031051 is a deficient number, since it is larger than the sum of its proper divisors (227452811589).

314441031051 is a wasteful number, since it uses less digits than its factorization.

314441031051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237672760 (or 237672747 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 314441031051 its reverse (150130144413), we get a palindrome (464571175464).

The spelling of 314441031051 in words is "three hundred fourteen billion, four hundred forty-one million, thirty-one thousand, fifty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 237672737 713018211 1663709159 2139054633 4991127477 6417163899 11645964113 14973382431 34937892339 44920147293 104813677017 314441031051