Search a number
-
+
400147101 = 33311912503
BaseRepresentation
bin10111110110011…
…100001010011101
31000212221120122000
4113312130022131
51304414201401
6103412312513
712626123424
oct2766341235
91025846560
10400147101
11195966492
12b2012739
1364b93543
143b2022bb
15251e2186
hex17d9c29d

400147101 has 32 divisors (see below), whose sum is σ = 615383040. Its totient is φ = 256705200.

The previous prime is 400147081. The next prime is 400147109. The reversal of 400147101 is 101741004.

It is not a de Polignac number, because 400147101 - 210 = 400146077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400147109) 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 in 31 ways as a sum of consecutive naturals, for example, 158616 + ... + 161118.

It is an arithmetic number, because the mean of its divisors is an integer number (19230720).

Almost surely, 2400147101 is an apocalyptic number.

It is an amenable number.

400147101 is a deficient number, since it is larger than the sum of its proper divisors (215235939).

400147101 is a wasteful number, since it uses less digits than its factorization.

400147101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 400147101 is about 20003.6771869574. The cubic root of 400147101 is about 736.8966094447.

Adding to 400147101 its reverse (101741004), we get a palindrome (501888105).

The spelling of 400147101 in words is "four hundred million, one hundred forty-seven thousand, one hundred one".

Divisors: 1 3 9 27 31 93 191 279 573 837 1719 2503 5157 5921 7509 17763 22527 53289 67581 77593 159867 232779 478073 698337 1434219 2095011 4302657 12907971 14820263 44460789 133382367 400147101