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400511040106049 is a prime number
BaseRepresentation
bin101101100010000110011111…
…0010001100010111001000001
31221112002111000000101022202222
41123010030332101202321001
5404443433102231343144
63535452122022020425
7150234652640104055
oct13304147621427101
91845074000338688
10400511040106049
11106684861925184
1238b05880b77715
131426304b9c6052
1470c8ba2bbbc65
1531483280c42ee
hex16c433e462e41

400511040106049 has 2 divisors, whose sum is σ = 400511040106050. Its totient is φ = 400511040106048.

The previous prime is 400511040106039. The next prime is 400511040106063. The reversal of 400511040106049 is 940601040115004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308297656377649 + 92213383728400 = 17558407^2 + 9602780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400511040106049 is a prime.

It is not a weakly prime, because it can be changed into another prime (400511040106039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200255520053024 + 200255520053025.

It is an arithmetic number, because the mean of its divisors is an integer number (200255520053025).

Almost surely, 2400511040106049 is an apocalyptic number.

It is an amenable number.

400511040106049 is a deficient number, since it is larger than the sum of its proper divisors (1).

400511040106049 is an equidigital number, since it uses as much as digits as its factorization.

400511040106049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 400511040106049 in words is "four hundred trillion, five hundred eleven billion, forty million, one hundred six thousand, forty-nine".