Search a number
-
+
1405335041 = 11294405439
BaseRepresentation
bin101001111000011…
…1011011000000001
310121221101102020222
41103300323120001
510334231210131
6351241112425
746553102465
oct12360733001
93557342228
101405335041
11661303020
12332788715
131951c8bc6
14d49004a5
158359a87b
hex53c3b601

1405335041 has 8 divisors (see below), whose sum is σ = 1585958400. Its totient is φ = 1233522640.

The previous prime is 1405335031. The next prime is 1405335047.

1405335041 is nontrivially palindromic in base 10.

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 1405335041 - 214 = 1405318657 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1405335041.

It is not an unprimeable number, because it can be changed into a prime (1405335047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2202401 + ... + 2203038.

It is an arithmetic number, because the mean of its divisors is an integer number (198244800).

Almost surely, 21405335041 is an apocalyptic number.

1405335041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1405335041 is a deficient number, since it is larger than the sum of its proper divisors (180623359).

1405335041 is a wasteful number, since it uses less digits than its factorization.

1405335041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405479.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1405335041 is about 37487.7985616654. The cubic root of 1405335041 is about 1120.1081530869.

It can be divided in two parts, 14053 and 35041, that added together give a palindrome (49094).

The spelling of 1405335041 in words is "one billion, four hundred five million, three hundred thirty-five thousand, forty-one".

Divisors: 1 11 29 319 4405439 48459829 127757731 1405335041