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40144897 = 1314292161
BaseRepresentation
bin1001100100100…
…1000000000001
32210112120110001
42121021000001
540234114042
63552240001
7665140342
oct231110001
983476401
1040144897
112072a501
1211540001
1384177a0
1454900c9
1537cebb7
hex2649001

40144897 has 8 divisors (see below), whose sum is σ = 43283240. Its totient is φ = 37013760.

The previous prime is 40144883. The next prime is 40144901. The reversal of 40144897 is 79844104.

It is a Cunningham number, because it is equal to 63362+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 40144896 = 1^2 + 6336^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40144897 is a prime.

It is a super-2 number, since 2×401448972 = 3223225510281218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40148897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17497 + ... + 19657.

It is an arithmetic number, because the mean of its divisors is an integer number (5410405).

Almost surely, 240144897 is an apocalyptic number.

It is an amenable number.

40144897 is a deficient number, since it is larger than the sum of its proper divisors (3138343).

40144897 is a wasteful number, since it uses less digits than its factorization.

40144897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 40144897 is about 6336.0000789141. Note that the first 4 decimals coincide. The cubic root of 40144897 is about 342.4076423501.

It can be divided in two parts, 40144 and 897, that added together give a triangular number (41041 = T286).

The spelling of 40144897 in words is "forty million, one hundred forty-four thousand, eight hundred ninety-seven".

Divisors: 1 13 1429 2161 18577 28093 3088069 40144897