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414044671441 is a prime number
BaseRepresentation
bin1100000011001101111…
…11000100110111010001
31110120201111002121021011
412001212333010313101
523240430413441231
6514113130130521
741625261431662
oct6014677046721
91416644077234
10414044671441
1114a660471985
12682b2880a41
133007628b10b
141607b587369
15ab849029b1
hex6066fc4dd1

414044671441 has 2 divisors, whose sum is σ = 414044671442. Its totient is φ = 414044671440.

The previous prime is 414044671367. The next prime is 414044671501. The reversal of 414044671441 is 144176440414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335936160000 + 78108511441 = 579600^2 + 279479^2 .

It is a cyclic number.

It is not a de Polignac number, because 414044671441 - 29 = 414044670929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414044671394 and 414044671403.

It is not a weakly prime, because it can be changed into another prime (414044671141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207022335720 + 207022335721.

It is an arithmetic number, because the mean of its divisors is an integer number (207022335721).

Almost surely, 2414044671441 is an apocalyptic number.

It is an amenable number.

414044671441 is a deficient number, since it is larger than the sum of its proper divisors (1).

414044671441 is an equidigital number, since it uses as much as digits as its factorization.

414044671441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 414044671441 in words is "four hundred fourteen billion, forty-four million, six hundred seventy-one thousand, four hundred forty-one".