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240240131441 = 41197208114293
BaseRepresentation
bin1101111110111101101…
…1010111110101110001
3211222002202012011101222
43133233123113311301
512414002433201231
6302210443434425
723233242265322
oct3375733276561
9758082164358
10240240131441
1192981322582
123a687b25a15
131986806a33b
14b8b051a449
1563b109127b
hex37ef6d7d71

240240131441 has 16 divisors (see below), whose sum is σ = 247485058128. Its totient is φ = 233062502400.

The previous prime is 240240131419. The next prime is 240240131449. The reversal of 240240131441 is 144131042042.

It can be written as a sum of positive squares in 8 ways, for example, as 33870721600 + 206369409841 = 184040^2 + 454279^2 .

It is a cyclic number.

It is not a de Polignac number, because 240240131441 - 226 = 240173022577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 240240131441.

It is not an unprimeable number, because it can be changed into a prime (240240131449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16801091 + ... + 16815383.

It is an arithmetic number, because the mean of its divisors is an integer number (15467816133).

Almost surely, 2240240131441 is an apocalyptic number.

It is an amenable number.

240240131441 is a deficient number, since it is larger than the sum of its proper divisors (7244926687).

240240131441 is a wasteful number, since it uses less digits than its factorization.

240240131441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16612.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 240240131441 its reverse (144131042042), we get a palindrome (384371173483).

The spelling of 240240131441 in words is "two hundred forty billion, two hundred forty million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 41 197 2081 8077 14293 85321 409957 586013 2815721 16808237 29743733 115444561 1219493053 5859515401 240240131441