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542550723144 = 233112901200231
BaseRepresentation
bin1111110010100101000…
…10110000101001001000
31220212102021220102002120
413321102202300221020
532342120441120034
61053124440531240
754124625024643
oct7712242605110
91825367812076
10542550723144
1119a1048145a1
1289197180b20
133c2157ac071
141c38c486a5a
15e1a6514c49
hex7e528b0a48

542550723144 has 32 divisors (see below), whose sum is σ = 1356395595840. Its totient is φ = 180847736000.

The previous prime is 542550723103. The next prime is 542550723173. The reversal of 542550723144 is 441327055245.

It is a happy number.

It is a super-2 number, since 2×5425507231442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542550723096 and 542550723105.

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 7 ways as a sum of consecutive naturals, for example, 2609509 + ... + 2809739.

It is an arithmetic number, because the mean of its divisors is an integer number (42387362370).

Almost surely, 2542550723144 is an apocalyptic number.

It is an amenable number.

542550723144 is an abundant number, since it is smaller than the sum of its proper divisors (813844872696).

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

542550723144 is a wasteful number, since it uses less digits than its factorization.

542550723144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313141 (or 313137 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

Adding to 542550723144 its reverse (441327055245), we get a palindrome (983877778389).

The spelling of 542550723144 in words is "five hundred forty-two billion, five hundred fifty million, seven hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 112901 200231 225802 338703 400462 451604 600693 677406 800924 903208 1201386 1354812 1601848 2402772 2709624 4805544 22606280131 45212560262 67818840393 90425120524 135637680786 180850241048 271275361572 542550723144