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1456301149 = 29109460709
BaseRepresentation
bin101011011001101…
…0110010001011101
310202111021202121121
41112303112101131
510440303114044
6400301330541
751042232642
oct12663262135
93674252547
101456301149
11688053676
12347866a51
131a2931c74
14db5a9dc9
1587cb6984
hex56cd645d

1456301149 has 8 divisors (see below), whose sum is σ = 1520343000. Its totient is φ = 1393180992.

The previous prime is 1456301131. The next prime is 1456301153. The reversal of 1456301149 is 9411036541.

It can be written as a sum of positive squares in 4 ways, for example, as 510308100 + 945993049 = 22590^2 + 30757^2 .

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 1456301149 - 217 = 1456170077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456301179) 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 7 ways as a sum of consecutive naturals, for example, 227194 + ... + 233515.

It is an arithmetic number, because the mean of its divisors is an integer number (190042875).

Almost surely, 21456301149 is an apocalyptic number.

It is an amenable number.

1456301149 is a deficient number, since it is larger than the sum of its proper divisors (64041851).

1456301149 is a wasteful number, since it uses less digits than its factorization.

1456301149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460847.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1456301149 is about 38161.5139767803. The cubic root of 1456301149 is about 1133.4883584841.

The spelling of 1456301149 in words is "one billion, four hundred fifty-six million, three hundred one thousand, one hundred forty-nine".

Divisors: 1 29 109 3161 460709 13360561 50217281 1456301149