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41400014442131 = 2411409121919299
BaseRepresentation
bin10010110100111001100010…
…01001111000111010010011
312102120210200012002112200002
421122130301021320322103
520411244212144122011
6224014523140320215
711502023644334102
oct1132346111707223
9172523605075602
1041400014442131
1112211713946a04
1247877250a306b
131a1400a18a077
14a31ab29a4039
154bbd99280c3b
hex25a731278e93

41400014442131 has 8 divisors (see below), whose sum is σ = 41601303546000. Its totient is φ = 41198969180160.

The previous prime is 41400014442121. The next prime is 41400014442181. The reversal of 41400014442131 is 13124441000414.

It is a happy number.

41400014442131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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-41400014442131 is a prime.

It is a super-2 number, since 2×414000144421312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41400014442094 and 41400014442103.

It is not an unprimeable number, because it can be changed into a prime (41400014442121) 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 7 ways as a sum of consecutive naturals, for example, 60620081 + ... + 61299218.

It is an arithmetic number, because the mean of its divisors is an integer number (5200162943250).

Almost surely, 241400014442131 is an apocalyptic number.

41400014442131 is a deficient number, since it is larger than the sum of its proper divisors (201289103869).

41400014442131 is a wasteful number, since it uses less digits than its factorization.

41400014442131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121920949.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 41400014442131 its reverse (13124441000414), we get a palindrome (54524455442545).

The spelling of 41400014442131 in words is "forty-one trillion, four hundred billion, fourteen million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 241 1409 339569 121919299 29382551059 171784292291 41400014442131