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241424424142 = 21153713119377
BaseRepresentation
bin1110000011011000000…
…1000101110011001110
3212002011021122110120121
43200312001011303032
512423414123033032
6302524151135154
723304502513606
oct3406601056316
9762137573517
10241424424142
1193429880180
123a9586744ba
13199c6522255
14b98391bc06
156430027a97
hex3836045cce

241424424142 has 64 divisors (see below), whose sum is σ = 409537410048. Its totient is φ = 105798784000.

The previous prime is 241424424107. The next prime is 241424424167.

241424424142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 241424424098 and 241424424107.

It is a congruent number.

It is an unprimeable number.

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, 25741758 + ... + 25751134.

It is an arithmetic number, because the mean of its divisors is an integer number (6399022032).

Almost surely, 2241424424142 is an apocalyptic number.

241424424142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241424424142 is a deficient number, since it is larger than the sum of its proper divisors (168112985906).

241424424142 is a wasteful number, since it uses less digits than its factorization.

241424424142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825.

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 241424 and 424142, that added together give a palindrome (665566).

The spelling of 241424424142 in words is "two hundred forty-one billion, four hundred twenty-four million, four hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 11 22 53 71 106 142 311 583 622 781 1166 1562 3421 3763 6842 7526 9377 16483 18754 22081 32966 41393 44162 82786 103147 181313 206294 242891 362626 485782 496981 665767 993962 1170293 1331534 2340586 2916247 5466791 5832494 7323437 10933582 12873223 14646874 25746446 32078717 35285651 64157434 70571302 154561091 207053537 309122182 388142161 414107074 776284322 1700172001 2277588907 3400344002 4555177814 10973837461 21947674922 120712212071 241424424142