Search a number
-
+
10414142424333 = 3310112593033281
BaseRepresentation
bin1001011110001011101101…
…0000101000010100001101
31100212120201111021012212000
42113202323100220110031
52331111130430034313
634052105130302513
72123253105022164
oct227427320502415
940776644235760
1010414142424333
1133556819a210a
1212023b7287a39
135a708475138b
142800936803db
15130d68204673
hex978bb42850d

10414142424333 has 32 divisors (see below), whose sum is σ = 15593496105600. Its totient is φ = 6868559232000.

The previous prime is 10414142424313. The next prime is 10414142424409. The reversal of 10414142424333 is 33342424141401.

10414142424333 is a `hidden beast` number, since 1 + 0 + 4 + 141 + 42 + 42 + 433 + 3 = 666.

It is not a de Polignac number, because 10414142424333 - 29 = 10414142423821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414142424313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916653 + ... + 4949933.

It is an arithmetic number, because the mean of its divisors is an integer number (487296753300).

Almost surely, 210414142424333 is an apocalyptic number.

It is an amenable number.

10414142424333 is a deficient number, since it is larger than the sum of its proper divisors (5179353681267).

10414142424333 is a wasteful number, since it uses less digits than its factorization.

10414142424333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034650 (or 3034644 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 10414142424333 its reverse (33342424141401), we get a palindrome (43756566565734).

The spelling of 10414142424333 in words is "ten trillion, four hundred fourteen billion, one hundred forty-two million, four hundred twenty-four thousand, three hundred thirty-three".

Divisors: 1 3 9 27 101 303 909 1259 2727 3777 11331 33993 127159 381477 1144431 3033281 3433293 9099843 27299529 81898587 306361381 919084143 2757252429 3818900779 8271757287 11456702337 34370107011 103110321033 385708978679 1157126936037 3471380808111 10414142424333