Search a number
-
+
400548381353 is a prime number
BaseRepresentation
bin1011101010000101000…
…10110100001010101001
31102021212220110000210022
411311002202310022221
523030310341200403
6504002005530225
740636651031321
oct5650242641251
91367786400708
10400548381353
1114496513442a
1265766a13975
132ba05132b53
141555ad50281
15a644b1bd38
hex5d428b42a9

400548381353 has 2 divisors, whose sum is σ = 400548381354. Its totient is φ = 400548381352.

The previous prime is 400548381329. The next prime is 400548381361. The reversal of 400548381353 is 353183845004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 386272194064 + 14276187289 = 621508^2 + 119483^2 .

It is a cyclic number.

It is not a de Polignac number, because 400548381353 - 28 = 400548381097 is a prime.

It is a super-2 number, since 2×4005483813532 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400548381323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200274190676 + 200274190677.

It is an arithmetic number, because the mean of its divisors is an integer number (200274190677).

Almost surely, 2400548381353 is an apocalyptic number.

It is an amenable number.

400548381353 is a deficient number, since it is larger than the sum of its proper divisors (1).

400548381353 is an equidigital number, since it uses as much as digits as its factorization.

400548381353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 400548381353 in words is "four hundred billion, five hundred forty-eight million, three hundred eighty-one thousand, three hundred fifty-three".