Search a number
-
+
1431407393 = 13881124981
BaseRepresentation
bin101010101010001…
…1000101100100001
310200202110000210122
41111110120230201
510412420014033
6354012010025
750320522253
oct12524305441
93622400718
101431407393
11674aa0619
1233b460915
1319a727230
14d8169cd3
15859eaa98
hex55518b21

1431407393 has 8 divisors (see below), whose sum is σ = 1543277736. Its totient is φ = 1319788800.

The previous prime is 1431407359. The next prime is 1431407401. The reversal of 1431407393 is 3937041341.

It can be written as a sum of positive squares in 4 ways, for example, as 133102369 + 1298305024 = 11537^2 + 36032^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1431407393 - 212 = 1431403297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1431407303) 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, 51038 + ... + 73943.

It is an arithmetic number, because the mean of its divisors is an integer number (192909717).

Almost surely, 21431407393 is an apocalyptic number.

1431407393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1431407393 is a deficient number, since it is larger than the sum of its proper divisors (111870343).

1431407393 is a wasteful number, since it uses less digits than its factorization.

1431407393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125875.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 1431407393 is about 37833.9449833083. The cubic root of 1431407393 is about 1126.9926542416.

The spelling of 1431407393 in words is "one billion, four hundred thirty-one million, four hundred seven thousand, three hundred ninety-three".

Divisors: 1 13 881 11453 124981 1624753 110108261 1431407393