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1014114431 = 11212765993
BaseRepresentation
bin111100011100100…
…010100001111111
32121200020100110202
4330130202201333
54034103130211
6244343554115
734062554561
oct7434424177
92550210422
101014114431
11480494200
1224375b93b
1313213c715
1498983331
155e06d53b
hex3c72287f

1014114431 has 12 divisors (see below), whose sum is σ = 1123481856. Its totient is φ = 914649120.

The previous prime is 1014114421. The next prime is 1014114457. The reversal of 1014114431 is 1344114101.

It is a de Polignac number, because none of the positive numbers 2k-1014114431 is a prime.

It is a super-2 number, since 2×10141144312 = 2056856158324907522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014114401) 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 11 ways as a sum of consecutive naturals, for example, 17630 + ... + 48363.

It is an arithmetic number, because the mean of its divisors is an integer number (93623488).

Almost surely, 21014114431 is an apocalyptic number.

1014114431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1014114431 is a deficient number, since it is larger than the sum of its proper divisors (109367425).

1014114431 is a wasteful number, since it uses less digits than its factorization.

1014114431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66142 (or 66131 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1014114431 is about 31845.1633847277. The cubic root of 1014114431 is about 1004.6828470467.

Adding to 1014114431 its reverse (1344114101), we get a palindrome (2358228532).

The spelling of 1014114431 in words is "one billion, fourteen million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 11 121 127 1397 15367 65993 725923 7985153 8381111 92192221 1014114431