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41142040242131 = 1710333781161961
BaseRepresentation
bin10010101101011001000001…
…01100011010011111010011
312101200010210112010100121002
421112230200230122133103
520343032344300222011
6223300220430052215
711444262052660613
oct1126544054323723
9171603715110532
1041142040242131
1112122272167224
12474572a04a06b
1319c58a701c44a
14a233dd0c2a43
154b52eb365c3b
hex256b20b1a7d3

41142040242131 has 16 divisors (see below), whose sum is σ = 43606187764128. Its totient is φ = 38682787891200.

The previous prime is 41142040242103. The next prime is 41142040242143. The reversal of 41142040242131 is 13124204024114.

41142040242131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41142040242131 - 26 = 41142040242067 is a prime.

It is a super-2 number, since 2×411420402421312 (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 = 41142040242094 and 41142040242103.

It is not an unprimeable number, because it can be changed into a prime (41142040242101) 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, 663967991 + ... + 664029951.

It is an arithmetic number, because the mean of its divisors is an integer number (2725386735258).

Almost surely, 241142040242131 is an apocalyptic number.

41142040242131 is a deficient number, since it is larger than the sum of its proper divisors (2464147521997).

41142040242131 is a wasteful number, since it uses less digits than its factorization.

41142040242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100822.

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

Adding to 41142040242131 its reverse (13124204024114), we get a palindrome (54266244266245).

The spelling of 41142040242131 in words is "forty-one trillion, one hundred forty-two billion, forty million, two hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 17 1033 17561 37811 61961 642787 1053337 39058763 64005713 663998971 1088097121 2342807371 39827725307 2420120014243 41142040242131