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42242201424 = 2432293348621
BaseRepresentation
bin100111010101110101…
…001101011101010000
311001000221011011121200
4213111311031131100
51143003000421144
631223352551200
73023541534123
oct472565153520
9131027134550
1042242201424
1116a07692175
12822a9b2500
133ca276b777
14208a2b23ba
15117378cc69
hex9d5d4d750

42242201424 has 30 divisors (see below), whose sum is σ = 118219494666. Its totient is φ = 14080733760.

The previous prime is 42242201381. The next prime is 42242201437. The reversal of 42242201424 is 42410224224.

42242201424 is a `hidden beast` number, since 422 + 4 + 220 + 14 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21471627024 + 20770574400 = 146532^2 + 144120^2 .

It is a super-2 number, since 2×422422014242 (a number of 22 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 146674167 + ... + 146674454.

Almost surely, 242242201424 is an apocalyptic number.

It is an amenable number.

42242201424 is an abundant number, since it is smaller than the sum of its proper divisors (75977293242).

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

42242201424 is a wasteful number, since it uses less digits than its factorization.

42242201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293348635 (or 293348626 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 42242201424 its reverse (42410224224), we get a palindrome (84652425648).

The spelling of 42242201424 in words is "forty-two billion, two hundred forty-two million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293348621 586697242 880045863 1173394484 1760091726 2346788968 2640137589 3520183452 4693577936 5280275178 7040366904 10560550356 14080733808 21121100712 42242201424