Search a number
-
+
400141337 is a prime number
BaseRepresentation
bin10111110110011…
…010110000011001
31000212221021201112
4113312122300121
51304414010322
6103412230105
712626100551
oct2766326031
91025837645
10400141337
11195962122
12b200b335
1364b90a2b
143b200161
15251e05e2
hex17d9ac19

400141337 has 2 divisors, whose sum is σ = 400141338. Its totient is φ = 400141336.

The previous prime is 400141307. The next prime is 400141351. The reversal of 400141337 is 733141004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269747776 + 130393561 = 16424^2 + 11419^2 .

It is a cyclic number.

It is not a de Polignac number, because 400141337 - 210 = 400140313 is a prime.

It is a super-2 number, since 2×4001413372 = 320226179152295138, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (400141307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200070668 + 200070669.

It is an arithmetic number, because the mean of its divisors is an integer number (200070669).

Almost surely, 2400141337 is an apocalyptic number.

It is an amenable number.

400141337 is a deficient number, since it is larger than the sum of its proper divisors (1).

400141337 is an equidigital number, since it uses as much as digits as its factorization.

400141337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 400141337 is about 20003.5331129278. The cubic root of 400141337 is about 736.8930711689.

The spelling of 400141337 in words is "four hundred million, one hundred forty-one thousand, three hundred thirty-seven".