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542431134544 = 241397191140759
BaseRepresentation
bin1111110010010110110…
…10100100001101010000
31220212002221212200101011
413321023122210031100
532341344332301134
61053104525420304
754121643366065
oct7711332441520
91825087780334
10542431134544
1119a053263942
128916310a694
133c1c6a9a490
141c37a636c6c
15e19ac91264
hex7e4b6a4350

542431134544 has 80 divisors (see below), whose sum is σ = 1149466429440. Its totient is φ = 246472888320.

The previous prime is 542431134527. The next prime is 542431134559. The reversal of 542431134544 is 445431134245.

It is a junction number, because it is equal to n+sod(n) for n = 542431134497 and 542431134506.

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 15 ways as a sum of consecutive naturals, for example, 3783237 + ... + 3923995.

It is an arithmetic number, because the mean of its divisors is an integer number (14368330368).

Almost surely, 2542431134544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542431134544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574733214720).

542431134544 is an abundant number, since it is smaller than the sum of its proper divisors (607035294896).

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

542431134544 is a wasteful number, since it uses less digits than its factorization.

542431134544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141068 (or 141062 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

Adding to 542431134544 its reverse (445431134245), we get a palindrome (987862268789).

The spelling of 542431134544 in words is "five hundred forty-two billion, four hundred thirty-one million, one hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 97 104 191 194 208 382 388 764 776 1261 1528 1552 2483 2522 3056 4966 5044 9932 10088 18527 19864 20176 37054 39728 74108 140759 148216 240851 281518 296432 481702 563036 963404 1126072 1829867 1926808 2252144 3659734 3853616 7319468 13653623 14638936 26884969 27307246 29277872 53769938 54614492 107539876 109228984 177497099 215079752 218457968 349504597 354994198 430159504 699009194 709988396 1398018388 1419976792 2607841993 2796036776 2839953584 5215683986 5592073552 10431367972 20862735944 33901945909 41725471888 67803891818 135607783636 271215567272 542431134544