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142133331241 = 11104327123853
BaseRepresentation
bin1000010001011111001…
…1101000010100101001
3111120212111221100001101
42010113303220110221
54312042113044431
6145143430321401
713161124244626
oct2042763502451
9446774840041
10142133331241
1155307618510
12236681b9261
1310531850185
146c44ab334d
153a6d16e961
hex2117ce8529

142133331241 has 8 divisors (see below), whose sum is σ = 155057281344. Its totient is φ = 129209837520.

The previous prime is 142133331233. The next prime is 142133331269.

142133331241 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 142133331241 - 23 = 142133331233 is a prime.

It is a super-4 number, since 4×1421333312414 (a number of 46 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142133331841) 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 7 ways as a sum of consecutive naturals, for example, 1085671 + ... + 1209523.

It is an arithmetic number, because the mean of its divisors is an integer number (19382160168).

Almost surely, 2142133331241 is an apocalyptic number.

142133331241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142133331241 is a deficient number, since it is larger than the sum of its proper divisors (12923950103).

142133331241 is a wasteful number, since it uses less digits than its factorization.

142133331241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228191.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 142133 and 331241, that added together give a palindrome (473374).

The spelling of 142133331241 in words is "one hundred forty-two billion, one hundred thirty-three million, three hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 11 104327 123853 1147597 1362383 12921211931 142133331241