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42334431444 = 223210710990247
BaseRepresentation
bin100111011011010101…
…000010100011010100
311001021100200221102100
4213123111002203110
51143200103301234
631240445442100
73026041505244
oct473325024324
9131240627370
1042334431444
1116a54756a28
128255870330
133cb88c1746
14209863db24
15117b90a399
hex9db5428d4

42334431444 has 36 divisors (see below), whose sum is σ = 108012157344. Its totient is φ = 13979592912.

The previous prime is 42334431443. The next prime is 42334431463. The reversal of 42334431444 is 44413443324.

42334431444 is a `hidden beast` number, since 4 + 2 + 334 + 4 + 314 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 42334431399 and 42334431408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42334431443) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5491272 + ... + 5498975.

It is an arithmetic number, because the mean of its divisors is an integer number (3000337704).

Almost surely, 242334431444 is an apocalyptic number.

It is an amenable number.

42334431444 is an abundant number, since it is smaller than the sum of its proper divisors (65677725900).

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

42334431444 is a wasteful number, since it uses less digits than its factorization.

42334431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990364 (or 10990359 counting only the distinct ones).

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

Adding to 42334431444 its reverse (44413443324), we get a palindrome (86747874768).

The spelling of 42334431444 in words is "forty-two billion, three hundred thirty-four million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 10990247 21980494 32970741 43960988 65941482 98912223 131882964 197824446 395648892 1175956429 2351912858 3527869287 4703825716 7055738574 10583607861 14111477148 21167215722 42334431444