Search a number
-
+
1427013441 = 32763135897
BaseRepresentation
bin101010100001110…
…0111111101000001
310200110011210102200
41111003213331001
510410303412231
6353333503413
750235262020
oct12503477501
93613153380
101427013441
1167256a357
12339aa1b69
13199849269
14d77448b7
158542dbe6
hex550e7f41

1427013441 has 24 divisors (see below), whose sum is σ = 2359503744. Its totient is φ = 814121280.

The previous prime is 1427013433. The next prime is 1427013457. The reversal of 1427013441 is 1443107241.

1427013441 is a `hidden beast` number, since 142 + 70 + 13 + 441 = 666.

It is not a de Polignac number, because 1427013441 - 23 = 1427013433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1427013461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21805 + ... + 57701.

It is an arithmetic number, because the mean of its divisors is an integer number (98312656).

Almost surely, 21427013441 is an apocalyptic number.

It is an amenable number.

1427013441 is a deficient number, since it is larger than the sum of its proper divisors (932490303).

1427013441 is a wasteful number, since it uses less digits than its factorization.

1427013441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36541 (or 36538 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1427013441 is about 37775.8314402211. The cubic root of 1427013441 is about 1125.8383061348.

The spelling of 1427013441 in words is "one billion, four hundred twenty-seven million, thirteen thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 631 1893 4417 5679 13251 35897 39753 107691 251279 323073 753837 2261511 22651007 67953021 158557049 203859063 475671147 1427013441