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42144333444 = 22321170675929
BaseRepresentation
bin100111001111111111…
…110111111010000100
311000210002222221222200
4213033333313322010
51142302422132234
631205535154500
73021242631543
oct471777677204
9130702887880
1042144333444
1116967417544
128202075a30
133c883c3515
14207b2b815a
151169da9d99
hex9cfff7e84

42144333444 has 18 divisors (see below), whose sum is σ = 106531509630. Its totient is φ = 14048111136.

The previous prime is 42144333421. The next prime is 42144333479. The reversal of 42144333444 is 44433344124.

42144333444 is a `hidden beast` number, since 4 + 214 + 433 + 3 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24037401600 + 18106931844 = 155040^2 + 134562^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×421443334442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1170675929 = 42144333444 / (4 + 2 + 1 + 4 + 4 + 3 + 3 + 3 + 4 + 4 + 4).

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 = 42144333399 and 42144333408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585337929 + ... + 585338000.

Almost surely, 242144333444 is an apocalyptic number.

It is an amenable number.

42144333444 is an abundant number, since it is smaller than the sum of its proper divisors (64387176186).

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

42144333444 is a wasteful number, since it uses less digits than its factorization.

42144333444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170675939 (or 1170675934 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 42144333444 its reverse (44433344124), we get a palindrome (86577677568).

The spelling of 42144333444 in words is "forty-two billion, one hundred forty-four million, three hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1170675929 2341351858 3512027787 4682703716 7024055574 10536083361 14048111148 21072166722 42144333444