Search a number
-
+
40211314000131 = 3184717291419701
BaseRepresentation
bin10010010010010011011010…
…00101100100000100000011
312021101011102121111110020210
421021021231011210010003
520232310232341001011
6221304453404405203
711320112563312611
oct1111115505440403
9167334377443223
1040211314000131
11118a358249aaaa
12461527b846803
131958bab8a1571
149d03490466b1
1549aec65a76a6
hex24926d164103

40211314000131 has 16 divisors (see below), whose sum is σ = 53647343785728. Its totient is φ = 26791415196000.

The previous prime is 40211314000127. The next prime is 40211314000133. The reversal of 40211314000131 is 13100041311204.

It is not a de Polignac number, because 40211314000131 - 22 = 40211314000127 is a prime.

It is a super-2 number, since 2×402113140001312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40211314000098 and 40211314000107.

It is not an unprimeable number, because it can be changed into a prime (40211314000133) 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 15 ways as a sum of consecutive naturals, for example, 95599581 + ... + 96019281.

It is an arithmetic number, because the mean of its divisors is an integer number (3352958986608).

Almost surely, 240211314000131 is an apocalyptic number.

40211314000131 is a deficient number, since it is larger than the sum of its proper divisors (13436029785597).

40211314000131 is a wasteful number, since it uses less digits than its factorization.

40211314000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438842.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 40211314000131 its reverse (13100041311204), we get a palindrome (53311355311335).

The spelling of 40211314000131 in words is "forty trillion, two hundred eleven billion, three hundred fourteen million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 1847 5541 17291 51873 419701 1259103 31936477 95809431 775187747 2325563241 7257049991 21771149973 13403771333377 40211314000131