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1414135424 = 27131575413
BaseRepresentation
bin101010001001001…
…1111111010000000
310122112221112010002
41110102133322000
510344004313144
6352153455132
750020644542
oct12422377200
93575845102
101414135424
11666273969
123357114a8
13196c8a730
14d5b51692
158423814e
hex5449fe80

1414135424 has 64 divisors (see below), whose sum is σ = 3053820840. Its totient is φ = 648400896.

The previous prime is 1414135417. The next prime is 1414135451. The reversal of 1414135424 is 4245314141.

It can be written as a sum of positive squares in 4 ways, for example, as 623401024 + 790734400 = 24968^2 + 28120^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258542 + ... + 263954.

Almost surely, 21414135424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526910420).

1414135424 is an abundant number, since it is smaller than the sum of its proper divisors (1639685416).

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

1414135424 is a wasteful number, since it uses less digits than its factorization.

1414135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5585 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 1414135424 is about 37604.9920090405. The cubic root of 1414135424 is about 1122.4413751060.

Adding to 1414135424 its reverse (4245314141), we get a palindrome (5659449565).

The spelling of 1414135424 in words is "one billion, four hundred fourteen million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 157 208 314 416 628 832 1256 1664 2041 2512 4082 5024 5413 8164 10048 10826 16328 20096 21652 32656 43304 65312 70369 86608 130624 140738 173216 261248 281476 346432 562952 692864 849841 1125904 1699682 2251808 3399364 4503616 6798728 9007232 11047933 13597456 22095866 27194912 44191732 54389824 88383464 108779648 176766928 353533856 707067712 1414135424