Search a number
-
+
10414101443313 = 373207472292041
BaseRepresentation
bin1001011110001011100011…
…0100010011001011110001
31100212120121122011011110110
42113202320310103023301
52331111034432141223
634052101104051533
72123252066500041
oct227427064231361
940776548134413
1010414101443313
1133556608514a7
1212023a5603ba9
135a7079103159
1428008c053721
15130d6480bd93
hex978b8d132f1

10414101443313 has 16 divisors (see below), whose sum is σ = 14076365075136. Its totient is φ = 6847295304960.

The previous prime is 10414101443269. The next prime is 10414101443351. The reversal of 10414101443313 is 31334410141401.

10414101443313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10414101443313 - 214 = 10414101426929 is a prime.

It is a super-2 number, since 2×104141014433132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10414101443113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3397573 + ... + 5689613.

It is an arithmetic number, because the mean of its divisors is an integer number (879772817196).

Almost surely, 210414101443313 is an apocalyptic number.

It is an amenable number.

10414101443313 is a deficient number, since it is larger than the sum of its proper divisors (3662263631823).

10414101443313 is a wasteful number, since it uses less digits than its factorization.

10414101443313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312864.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10414101443313 its reverse (31334410141401), we get a palindrome (41748511584714).

The spelling of 10414101443313 in words is "ten trillion, four hundred fourteen billion, one hundred one million, four hundred forty-three thousand, three hundred thirteen".

Divisors: 1 3 73 219 20747 62241 1514531 2292041 4543593 6876123 167318993 501956979 47552974627 142658923881 3471367147771 10414101443313