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4014144141 = 372159717099
BaseRepresentation
bin1110111101000010…
…1111101010001101
3101100202022122120020
43233100233222031
531210110103031
61502153012353
7201321443100
oct35720575215
911322278506
104014144141
11177a9749a7
129403b40b9
134bc834627
142a1196737
1518761b096
hexef42fa8d

4014144141 has 24 divisors (see below), whose sum is σ = 6230282400. Its totient is φ = 2292226272.

The previous prime is 4014144139. The next prime is 4014144143. The reversal of 4014144141 is 1414414104.

It is an interprime number because it is at equal distance from previous prime (4014144139) and next prime (4014144143).

It is not a de Polignac number, because 4014144141 - 21 = 4014144139 is a prime.

It is a super-2 number, since 2×40141441412 = 32226706369449255762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014144143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226210 + ... + 243308.

It is an arithmetic number, because the mean of its divisors is an integer number (259595100).

Almost surely, 24014144141 is an apocalyptic number.

It is an amenable number.

4014144141 is a deficient number, since it is larger than the sum of its proper divisors (2216138259).

4014144141 is a wasteful number, since it uses less digits than its factorization.

4014144141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18713 (or 18706 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4014144141 is about 63357.2737813110. The cubic root of 4014144141 is about 1589.2698862999.

Adding to 4014144141 its reverse (1414414104), we get a palindrome (5428558245).

The spelling of 4014144141 in words is "four billion, fourteen million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 147 1597 4791 11179 17099 33537 51297 78253 119693 234759 359079 837851 2513553 27307103 81921309 191149721 573449163 1338048047 4014144141