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1418118141 = 31165365809
BaseRepresentation
bin101010010000110…
…1100001111111101
310122211102212101010
41110201230033331
510401014240031
6352415105433
750066543136
oct12441541775
93584385333
101418118141
11668544170
12336b12279
13197a5347b
14d64aac8d
1584773246
hex5486c3fd

1418118141 has 16 divisors (see below), whose sum is σ = 2065907520. Its totient is φ = 858136320.

The previous prime is 1418118139. The next prime is 1418118151.

1418118141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1418118141 - 21 = 1418118139 is a prime.

It is a super-2 number, since 2×14181181412 = 4022118123666591762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1418118099 and 1418118108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418118151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11356 + ... + 54453.

It is an arithmetic number, because the mean of its divisors is an integer number (129119220).

Almost surely, 21418118141 is an apocalyptic number.

1418118141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1418118141 is a deficient number, since it is larger than the sum of its proper divisors (647789379).

1418118141 is a wasteful number, since it uses less digits than its factorization.

1418118141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66476.

The product of its digits is 1024, while the sum is 30.

The square root of 1418118141 is about 37657.9094082505. The cubic root of 1418118141 is about 1123.4941210928.

The spelling of 1418118141 in words is "one billion, four hundred eighteen million, one hundred eighteen thousand, one hundred forty-one".

Divisors: 1 3 11 33 653 1959 7183 21549 65809 197427 723899 2171697 42973277 128919831 472706047 1418118141