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10414443141 = 322939902081
BaseRepresentation
bin10011011001011111…
…11100101010000101
3222212210121112020100
421230233330222011
5132312044140031
64441225354313
7516036206664
oct115457745205
928783545210
1010414443141
114464755303
122027938999
13c9c817abb
1470b206ddb
1540e475de6
hex26cbfca85

10414443141 has 12 divisors (see below), whose sum is σ = 15561811980. Its totient is φ = 6703549440.

The previous prime is 10414443139. The next prime is 10414443157. The reversal of 10414443141 is 14134441401.

It can be written as a sum of positive squares in 2 ways, for example, as 5249002500 + 5165440641 = 72450^2 + 71871^2 .

It is not a de Polignac number, because 10414443141 - 21 = 10414443139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414443241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19950780 + ... + 19951301.

It is an arithmetic number, because the mean of its divisors is an integer number (1296817665).

Almost surely, 210414443141 is an apocalyptic number.

It is an amenable number.

10414443141 is a deficient number, since it is larger than the sum of its proper divisors (5147368839).

10414443141 is a wasteful number, since it uses less digits than its factorization.

10414443141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39902116 (or 39902113 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10414443141 its reverse (14134441401), we get a palindrome (24548884542).

The spelling of 10414443141 in words is "ten billion, four hundred fourteen million, four hundred forty-three thousand, one hundred forty-one".

Divisors: 1 3 9 29 87 261 39902081 119706243 359118729 1157160349 3471481047 10414443141