Search a number
-
+
1431314320 = 245171052437
BaseRepresentation
bin101010101010000…
…0001111110010000
310200202021022010111
41111110001332100
510412404024240
6354010011104
750316654022
oct12524017620
93622238114
101431314320
11674a376a7
1233b416a94
1319a6c3a67
14d8144012
15859cd1ea
hex55501f90

1431314320 has 40 divisors (see below), whose sum is σ = 3523562424. Its totient is φ = 538847232.

The previous prime is 1431314317. The next prime is 1431314321. The reversal of 1431314320 is 234131341.

It can be written as a sum of positive squares in 4 ways, for example, as 544942336 + 886371984 = 23344^2 + 29772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1431314291 and 1431314300.

It is not an unprimeable number, because it can be changed into a prime (1431314321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524859 + ... + 527578.

Almost surely, 21431314320 is an apocalyptic number.

1431314320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431314320 is an abundant number, since it is smaller than the sum of its proper divisors (2092248104).

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

1431314320 is a wasteful number, since it uses less digits than its factorization.

1431314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052467 (or 1052461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1431314320 is about 37832.7149435512. The cubic root of 1431314320 is about 1126.9682272659.

Adding to 1431314320 its reverse (234131341), we get a palindrome (1665445661).

The spelling of 1431314320 in words is "one billion, four hundred thirty-one million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1052437 2104874 4209748 5262185 8419496 10524370 16838992 17891429 21048740 35782858 42097480 71565716 84194960 89457145 143131432 178914290 286262864 357828580 715657160 1431314320