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414144110311341 = 31910232971003197
BaseRepresentation
bin101111000101010010111000…
…0100101001011011110101101
32000022100210100010011101210220
41132022211300211023132231
5413240314114214430331
64024451102222121553
7153142632061615254
oct13612456045133655
92008323303141726
10414144110311341
1110aa60592613143
123a547aa07202b9
1314a11811799377
14743a97917179b
1532d2c8aa13296
hex178a97094b7ad

414144110311341 has 16 divisors (see below), whose sum is σ = 581260580107200. Its totient is φ = 261562141450368.

The previous prime is 414144110311313. The next prime is 414144110311357. The reversal of 414144110311341 is 143113011441414.

It is not a de Polignac number, because 414144110311341 - 219 = 414144109787053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414144110311301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29668846 + ... + 41334351.

It is an arithmetic number, because the mean of its divisors is an integer number (36328786256700).

Almost surely, 2414144110311341 is an apocalyptic number.

It is an amenable number.

414144110311341 is a deficient number, since it is larger than the sum of its proper divisors (167116469795859).

414144110311341 is a wasteful number, since it uses less digits than its factorization.

414144110311341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71105548.

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 414144110311341 its reverse (143113011441414), we get a palindrome (557257121752755).

The spelling of 414144110311341 in words is "four hundred fourteen trillion, one hundred forty-four billion, one hundred ten million, three hundred eleven thousand, three hundred forty-one".

Divisors: 1 3 19 57 102329 306987 1944251 5832753 71003197 213009591 1349060743 4047182229 7265686145813 21797058437439 138048036770447 414144110311341