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541342243145 = 51141240063079
BaseRepresentation
bin1111110000010101000…
…00110001100101001001
31220202022001221021012002
413320022200301211021
532332132103240040
61052404511000345
754052652100434
oct7701240614511
91822261837162
10541342243145
111996446466a0
1288aba5090b5
133c082308b42
141c2b5b8a81b
15e1353a1a15
hex7e0a831949

541342243145 has 16 divisors (see below), whose sum is σ = 725950753920. Its totient is φ = 384100924800.

The previous prime is 541342243139. The next prime is 541342243151.

541342243145 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (541342243139) and next prime (541342243151).

It is a de Polignac number, because none of the positive numbers 2k-541342243145 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541342243099 and 541342243108.

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 15 ways as a sum of consecutive naturals, for example, 120029285 + ... + 120033794.

It is an arithmetic number, because the mean of its divisors is an integer number (45371922120).

Almost surely, 2541342243145 is an apocalyptic number.

541342243145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541342243145 is a deficient number, since it is larger than the sum of its proper divisors (184608510775).

541342243145 is a wasteful number, since it uses less digits than its factorization.

541342243145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240063136.

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

It can be divided in two parts, 541342 and 243145, that added together give a palindrome (784487).

The spelling of 541342243145 in words is "five hundred forty-one billion, three hundred forty-two million, two hundred forty-three thousand, one hundred forty-five".

Divisors: 1 5 11 41 55 205 451 2255 240063079 1200315395 2640693869 9842586239 13203469345 49212931195 108268448629 541342243145