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1413233649 = 3441772
BaseRepresentation
bin101010000111100…
…0011101111110001
310122111020201010000
41110033003233301
510343241434044
6352122300213
750010200502
oct12417035761
93574221100
101413233649
116658083a3
12335357669
13196a33139
14d5998ba9
158410ad69
hex543c3bf1

1413233649 has 15 divisors (see below), whose sum is σ = 2111632347. Its totient is φ = 941930208.

The previous prime is 1413233641. The next prime is 1413233671. The reversal of 1413233649 is 9463323141.

The square root of 1413233649 is 37593.

It is a perfect power (a square), and thus also a powerful number.

1413233649 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 2 + 3 + 3 + 649 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1305738225 + 107495424 = 36135^2 + 10368^2 .

It is not a de Polignac number, because 1413233649 - 23 = 1413233641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1413233641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 336249 + ... + 340425.

Almost surely, 21413233649 is an apocalyptic number.

1413233649 is the 37593-rd square number.

1413233649 is the 18797-th centered octagonal number.

It is an amenable number.

1413233649 is a deficient number, since it is larger than the sum of its proper divisors (698398698).

1413233649 is an frugal number, since it uses more digits than its factorization.

1413233649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 4180 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The cubic root of 1413233649 is about 1122.2027358208.

Multiplying 1413233649 by its sum of digits (36), we get a square (50876411364 = 2255582).

Multiplying 1413233649 by its product of digits (46656), we get a square (65935829127744 = 81200882).

The spelling of 1413233649 in words is "one billion, four hundred thirteen million, two hundred thirty-three thousand, six hundred forty-nine".

Divisors: 1 3 9 27 81 4177 12531 37593 112779 338337 17447329 52341987 157025961 471077883 1413233649