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543142241345 = 511192294321937
BaseRepresentation
bin1111110011101011100…
…11001110010001000001
31220220221111221122112002
413321311303032101001
532344323403210340
61053303251113345
754145366606544
oct7716563162101
91826844848462
10543142241345
1119a3886a9a10
12893212a2855
133c2ab1c8132
141c406c6285b
15e1dd409715
hex7e75cce441

543142241345 has 96 divisors (see below), whose sum is σ = 794380245120. Its totient is φ = 352899348480.

The previous prime is 543142241329. The next prime is 543142241363.

543142241345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543142241345 - 24 = 543142241329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 543142241299 and 543142241308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24748217 + ... + 24770153.

It is an arithmetic number, because the mean of its divisors is an integer number (8274794220).

Almost surely, 2543142241345 is an apocalyptic number.

543142241345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543142241345 is a deficient number, since it is larger than the sum of its proper divisors (251238003775).

543142241345 is a wasteful number, since it uses less digits than its factorization.

543142241345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22063 (or 22044 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 543142 and 241345, that added together give a palindrome (784487).

The spelling of 543142241345 in words is "five hundred forty-three billion, one hundred forty-two million, two hundred forty-one thousand, three hundred forty-five".

Divisors: 1 5 11 19 29 43 55 95 145 209 215 319 361 473 551 817 1045 1247 1595 1805 2365 2755 3971 4085 6061 6235 8987 10469 13717 15523 19855 21937 23693 30305 44935 52345 68585 77615 109685 115159 118465 170753 241307 260623 416803 450167 575795 636173 853765 943291 1206535 1303115 2084015 2250835 3180865 4584833 4716455 4951837 6997903 7919257 10376201 12087287 17922529 22924165 24759185 27355439 34989515 39596285 51881005 60436435 87111827 89612645 132960157 136777195 197147819 229658453 300909829 340528051 435559135 519753341 664800785 985739095 1148292265 1504549145 1702640255 2526242983 2598766705 3745808561 5717286751 9875313479 12631214915 18729042805 28586433755 49376567395 108628448269 543142241345