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402113134113141 = 31152197723938781
BaseRepresentation
bin101101101101110000100001…
…0100001001011000101110101
31221201202122021200220101110110
41123123201002201023011311
5410201210144313110031
63543120120144413233
7150461500215345063
oct13333410241130565
91851678250811413
10402113134113141
1110714224a159140
1239124277017219
131434b14b6bc229
147142545635033
153174d43439c46
hex16db84284b175

402113134113141 has 32 divisors (see below), whose sum is σ = 586614299112576. Its totient is φ = 242988192512000.

The previous prime is 402113134113133. The next prime is 402113134113161. The reversal of 402113134113141 is 141311431311204.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 402113134113141 - 23 = 402113134113133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 402113134113099 and 402113134113108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402113134113161) 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 31 ways as a sum of consecutive naturals, for example, 4828171 + ... + 28766951.

It is an arithmetic number, because the mean of its divisors is an integer number (18331696847268).

Almost surely, 2402113134113141 is an apocalyptic number.

It is an amenable number.

402113134113141 is a deficient number, since it is larger than the sum of its proper divisors (184501164999435).

402113134113141 is a wasteful number, since it uses less digits than its factorization.

402113134113141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23940293.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 402113134113141 its reverse (141311431311204), we get a palindrome (543424565424345).

The spelling of 402113134113141 in words is "four hundred two trillion, one hundred thirteen billion, one hundred thirty-four million, one hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 11 33 521 977 1563 2931 5731 10747 17193 32241 509017 1527051 5599187 16797561 23938781 71816343 263326591 789979773 12472104901 23388189037 37416314703 70164567111 137193153911 257270079407 411579461733 771810238221 12185246488277 36555739464831 134037711371047 402113134113141