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42121213224 = 2334142806111
BaseRepresentation
bin100111001110100111…
…101011010100101000
311000201111111100000020
4213032213223110220
51142231012310344
631203351440440
73020542255626
oct471647532450
9130644440006
1042121213224
1116955365a22
1281b6386120
133c83689b0c
1420781ba516
151167d3e719
hex9ce9eb528

42121213224 has 32 divisors (see below), whose sum is σ = 107871402240. Its totient is φ = 13697955200.

The previous prime is 42121213159. The next prime is 42121213237. The reversal of 42121213224 is 42231212124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42121213194 and 42121213203.

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 7 ways as a sum of consecutive naturals, for example, 21402072 + ... + 21404039.

It is an arithmetic number, because the mean of its divisors is an integer number (3370981320).

Almost surely, 242121213224 is an apocalyptic number.

It is an amenable number.

42121213224 is an abundant number, since it is smaller than the sum of its proper divisors (65750189016).

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

42121213224 is a wasteful number, since it uses less digits than its factorization.

42121213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42806161 (or 42806157 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 42121213224 its reverse (42231212124), we get a palindrome (84352425348).

The spelling of 42121213224 in words is "forty-two billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 42806111 85612222 128418333 171224444 256836666 342448888 513673332 1027346664 1755050551 3510101102 5265151653 7020202204 10530303306 14040404408 21060606612 42121213224