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240411144130313 = 1388139233535037
BaseRepresentation
bin110110101010011100010100…
…110110001000111100001001
31011112020002011222202220201212
4312222130110312020330021
5223002344010344132223
62211151204355222505
7101432063161000232
oct6652342466107411
91145202158686655
10240411144130313
116a6698803a0872
1222b693598a7a35
13a41b89ac14610
144351d66370089
151cbd9a3c14278
hexdaa714d88f09

240411144130313 has 16 divisors (see below), whose sum is σ = 259205275654416. Its totient is φ = 221660021637120.

The previous prime is 240411144130231. The next prime is 240411144130321. The reversal of 240411144130313 is 313031441114042.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23517572658064 + 216893571472249 = 4849492^2 + 14727307^2 .

It is a cyclic number.

It is not a de Polignac number, because 240411144130313 - 224 = 240411127353097 is a prime.

It is a super-2 number, since 2×2404111441303132 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240411144130313.

It is not an unprimeable number, because it can be changed into a prime (240411144130613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449068031 + ... + 449603067.

It is an arithmetic number, because the mean of its divisors is an integer number (16200329728401).

Almost surely, 2240411144130313 is an apocalyptic number.

It is an amenable number.

240411144130313 is a deficient number, since it is larger than the sum of its proper divisors (18794131524103).

240411144130313 is a wasteful number, since it uses less digits than its factorization.

240411144130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575164.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 240411144130313 its reverse (313031441114042), we get a palindrome (553442585244355).

The spelling of 240411144130313 in words is "two hundred forty trillion, four hundred eleven billion, one hundred forty-four million, one hundred thirty thousand, three hundred thirteen".

Divisors: 1 13 881 11453 39233 510029 535037 6955481 34564273 449335549 471367597 6127778761 20991106621 272884386073 18493164933101 240411144130313