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1414042416 = 243260116339
BaseRepresentation
bin101010001001000…
…1001001100110000
310122112202210112100
41110102021030300
510343443324131
6352151500400
750020106433
oct12422111460
93575683470
101414042416
1166620aaa6
12335687700
13196c572b7
14d5b2981a
158421a7e6
hex54489330

1414042416 has 60 divisors (see below), whose sum is σ = 3964182040. Its totient is φ = 470534400.

The previous prime is 1414042411. The next prime is 1414042417. The reversal of 1414042416 is 6142404141.

1414042416 is a `hidden beast` number, since 1 + 414 + 0 + 4 + 241 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1414042416.

It is not an unprimeable number, because it can be changed into a prime (1414042411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78375 + ... + 94713.

Almost surely, 21414042416 is an apocalyptic number.

1414042416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1414042416 is an abundant number, since it is smaller than the sum of its proper divisors (2550139624).

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

1414042416 is a wasteful number, since it uses less digits than its factorization.

1414042416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16954 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1414042416 is about 37603.7553443802. The cubic root of 1414042416 is about 1122.4167668272.

Adding to 1414042416 its reverse (6142404141), we get a palindrome (7556446557).

The spelling of 1414042416 in words is "one billion, four hundred fourteen million, forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 601 1202 1803 2404 3606 4808 5409 7212 9616 10818 14424 16339 21636 28848 32678 43272 49017 65356 86544 98034 130712 147051 196068 261424 294102 392136 588204 784272 1176408 2352816 9819739 19639478 29459217 39278956 58918434 78557912 88377651 117836868 157115824 176755302 235673736 353510604 471347472 707021208 1414042416