Search a number
-
+
410114142324 = 223211392059509
BaseRepresentation
bin1011111011111001011…
…01010011000001110100
31110012120120010000221200
411331330231103001310
523204403210023244
6512223121212500
741426003456265
oct5757455230164
91405516100850
10410114142324
11148a23818207
1267596491130
132c89ab81443
1415bc755896c
15aa04801669
hex5f7cb53074

410114142324 has 18 divisors (see below), whose sum is σ = 1036677415410. Its totient is φ = 136704714096.

The previous prime is 410114142281. The next prime is 410114142343. The reversal of 410114142324 is 423241411014.

410114142324 is a `hidden beast` number, since 4 + 1 + 0 + 11 + 414 + 232 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 399436640100 + 10677502224 = 632010^2 + 103332^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5696029719 + ... + 5696029790.

It is an arithmetic number, because the mean of its divisors is an integer number (57593189745).

Almost surely, 2410114142324 is an apocalyptic number.

It is an amenable number.

410114142324 is an abundant number, since it is smaller than the sum of its proper divisors (626563273086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

410114142324 is a wasteful number, since it uses less digits than its factorization.

410114142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392059519 (or 11392059514 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 410114142324 its reverse (423241411014), we get a palindrome (833355553338).

The spelling of 410114142324 in words is "four hundred ten billion, one hundred fourteen million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11392059509 22784119018 34176178527 45568238036 68352357054 102528535581 136704714108 205057071162 410114142324