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1406025009 = 322924312
BaseRepresentation
bin101001111001110…
…0011110100110001
310121222200110201100
41103303203310301
510334420300014
6351303555013
746562005164
oct12363436461
93558613640
101406025009
11661734444
12332a5ba69
131953aac7c
14d4a3dadb
1583685009
hex53ce3d31

1406025009 has 27 divisors (see below), whose sum is σ = 2108263339. Its totient is φ = 902927760.

The previous prime is 1406024959. The next prime is 1406025017. The reversal of 1406025009 is 9005206041.

The square root of 1406025009 is 37497.

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

1406025009 is a `hidden beast` number, since 1 + 4 + 0 + 602 + 50 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 737285409 + 668739600 = 27153^2 + 25860^2 .

It is not a de Polignac number, because 1406025009 - 29 = 1406024497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1406025059) 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 26 ways as a sum of consecutive naturals, for example, 3262024 + ... + 3262454.

Almost surely, 21406025009 is an apocalyptic number.

1406025009 is the 37497-th square number.

1406025009 is the 18749-th centered octagonal number.

It is an amenable number.

1406025009 is a deficient number, since it is larger than the sum of its proper divisors (702238330).

1406025009 is an frugal number, since it uses more digits than its factorization.

1406025009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 1406025009 is about 1120.2914337793.

The spelling of 1406025009 in words is "one billion, four hundred six million, twenty-five thousand, nine".

Divisors: 1 3 9 29 87 261 431 841 1293 2523 3879 7569 12499 37497 112491 185761 362471 557283 1087413 1671849 3262239 5387069 16161207 48483621 156225001 468675003 1406025009