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130414144 = 267291103
BaseRepresentation
bin1111100010111…
…11011001000000
3100002101201120111
413301133121000
5231341223034
620535121104
73142334110
oct761373100
9302351514
10130414144
1167685093
1237813194
1321032143
141346b040
15b6b1364
hex7c5f640

130414144 has 28 divisors (see below), whose sum is σ = 295761664. Its totient is φ = 55891584.

The previous prime is 130414139. The next prime is 130414183. The reversal of 130414144 is 441414031.

It is a tau number, because it is divible by the number of its divisors (28).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145104 + ... + 145999.

Almost surely, 2130414144 is an apocalyptic number.

130414144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130414144 is an abundant number, since it is smaller than the sum of its proper divisors (165347520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130414144 is an equidigital number, since it uses as much as digits as its factorization.

130414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291122 (or 291112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 130414144 is about 11419.9012254923. The cubic root of 130414144 is about 507.1170725576.

Adding to 130414144 its reverse (441414031), we get a palindrome (571828175).

The spelling of 130414144 in words is "one hundred thirty million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 291103 582206 1164412 2037721 2328824 4075442 4657648 8150884 9315296 16301768 18630592 32603536 65207072 130414144