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1414041616 = 241324732749
BaseRepresentation
bin101010001001000…
…1001000000010000
310122112202202102201
41110102021000100
510343443312431
6352151452544
750020104211
oct12422110020
93575682381
101414041616
1166620a439
12335687154
13196c56b20
14d5b29408
158421a461
hex54489010

1414041616 has 40 divisors (see below), whose sum is σ = 2952719000. Its totient is φ = 652133376.

The previous prime is 1414041593. The next prime is 1414041637. The reversal of 1414041616 is 6161404141.

It can be written as a sum of positive squares in 4 ways, for example, as 16777216 + 1397264400 = 4096^2 + 37380^2 .

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, 513010 + ... + 515758.

It is an arithmetic number, because the mean of its divisors is an integer number (73817975).

Almost surely, 21414041616 is an apocalyptic number.

1414041616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1414041616 is an abundant number, since it is smaller than the sum of its proper divisors (1538677384).

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

1414041616 is a wasteful number, since it uses less digits than its factorization.

1414041616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1414041616 is about 37603.7447071432. The cubic root of 1414041616 is about 1122.4165551566.

Adding to 1414041616 its reverse (6161404141), we get a palindrome (7575445757).

The spelling of 1414041616 in words is "one billion, four hundred fourteen million, forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 2473 2749 4946 5498 9892 10996 19784 21992 32149 35737 39568 43984 64298 71474 128596 142948 257192 285896 514384 571792 6798277 13596554 27193108 54386216 88377601 108772432 176755202 353510404 707020808 1414041616