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241433334142 = 271113599201329
BaseRepresentation
bin1110000011011010001…
…1000101000101111110
3212002011220102010210121
43200312203011011332
512423423413143032
6302525110125154
723304641323360
oct3406643050576
9762156363717
10241433334142
1193433906410
123a95b6507ba
13199c8321940
14b984b9ad30
156430bd7a97
hex38368c517e

241433334142 has 64 divisors (see below), whose sum is σ = 487057536000. Its totient is φ = 86683783680.

The previous prime is 241433334089. The next prime is 241433334169.

241433334142 is nontrivially palindromic in base 10.

241433334142 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241433334098 and 241433334107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098534 + ... + 1299862.

It is an arithmetic number, because the mean of its divisors is an integer number (7610274000).

Almost surely, 2241433334142 is an apocalyptic number.

241433334142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241433334142 is an abundant number, since it is smaller than the sum of its proper divisors (245624201858).

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

241433334142 is a wasteful number, since it uses less digits than its factorization.

241433334142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201961.

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 241433 and 334142, that added together give a palindrome (575575).

The spelling of 241433334142 in words is "two hundred forty-one billion, four hundred thirty-three million, three hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 599 1001 1198 2002 4193 6589 7787 8386 13178 15574 46123 54509 85657 92246 109018 171314 201329 402658 599599 1199198 1409303 2214619 2617277 2818606 4429238 5234554 15502333 18320939 28790047 31004666 36641878 57580094 120596071 201530329 241192142 403060658 844172497 1326556781 1567748923 1688344994 2653113562 3135497846 9285897467 10974242461 17245238153 18571794934 21948484922 34490476306 120716667071 241433334142