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1416640005 = 3251117168347
BaseRepresentation
bin101010001110000…
…0011011000000101
310122201122202202100
41110130003120011
510400124440010
6352323302313
750051145534
oct12434033005
93581582670
101416640005
11667724670
1233651a999
13197656731
14d620431b
15845802c0
hex54703605

1416640005 has 48 divisors (see below), whose sum is σ = 2836327104. Its totient is φ = 646448640.

The previous prime is 1416639977. The next prime is 1416640007. The reversal of 1416640005 is 5000466141.

1416640005 is a `hidden beast` number, since 1 + 4 + 16 + 640 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 1416640005 - 218 = 1416377861 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416640007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75759 + ... + 92588.

It is an arithmetic number, because the mean of its divisors is an integer number (59090148).

Almost surely, 21416640005 is an apocalyptic number.

1416640005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1416640005 is an abundant number, since it is smaller than the sum of its proper divisors (1419687099).

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

1416640005 is a wasteful number, since it uses less digits than its factorization.

1416640005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168386 (or 168383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1416640005 is about 37638.2784542545. The cubic root of 1416640005 is about 1123.1036377757.

The spelling of 1416640005 in words is "one billion, four hundred sixteen million, six hundred forty thousand, five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 168347 505041 841735 1515123 1851817 2525205 2861899 5555451 7575615 8585697 9259085 14309495 16666353 25757091 27777255 31480889 42928485 83331765 94442667 128785455 157404445 283328001 472213335 1416640005