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401541611993 is a prime number
BaseRepresentation
bin1011101011111011011…
…11101100000111011001
31102101110010101101002022
411311331233230013121
523034324123040433
6504244330144225
741003401246424
oct5657557540731
91371403341068
10401541611993
111453248542a5
12659a3582075
132bb32b3caa2
1415612c189bb
15a6a1e12698
hex5d7dbec1d9

401541611993 has 2 divisors, whose sum is σ = 401541611994. Its totient is φ = 401541611992.

The previous prime is 401541611987. The next prime is 401541612013. The reversal of 401541611993 is 399116145104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 388013130649 + 13528481344 = 622907^2 + 116312^2 .

It is a cyclic number.

It is not a de Polignac number, because 401541611993 - 222 = 401537417689 is a prime.

It is a super-2 number, since 2×4015416119932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401541631993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200770805996 + 200770805997.

It is an arithmetic number, because the mean of its divisors is an integer number (200770805997).

Almost surely, 2401541611993 is an apocalyptic number.

It is an amenable number.

401541611993 is a deficient number, since it is larger than the sum of its proper divisors (1).

401541611993 is an equidigital number, since it uses as much as digits as its factorization.

401541611993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 401541611993 in words is "four hundred one billion, five hundred forty-one million, six hundred eleven thousand, nine hundred ninety-three".