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42241004344 = 2371175191309
BaseRepresentation
bin100111010101110000…
…101001001100111000
311001000211220100112101
4213111300221030320
51143002144114334
631223311153144
73023525420110
oct472560511470
9131024810471
1042241004344
1116a06a44850
12822a5157b4
133ca243c936
14208a080040
151173603214
hex9d5c29338

42241004344 has 64 divisors (see below), whose sum is σ = 98877772800. Its totient is φ = 16435440000.

The previous prime is 42241004321. The next prime is 42241004369. The reversal of 42241004344 is 44340014224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 416962 + ... + 508270.

It is an arithmetic number, because the mean of its divisors is an integer number (1544965200).

Almost surely, 242241004344 is an apocalyptic number.

42241004344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42241004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49438886400).

42241004344 is an abundant number, since it is smaller than the sum of its proper divisors (56636768456).

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

42241004344 is a wasteful number, since it uses less digits than its factorization.

42241004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92084 (or 92080 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42241004344 its reverse (44340014224), we get a palindrome (86581018568).

The spelling of 42241004344 in words is "forty-two billion, two hundred forty-one million, four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 751 1502 3004 5257 6008 8261 10514 16522 21028 33044 42056 57827 66088 91309 115654 182618 231308 365236 462616 639163 730472 1004399 1278326 2008798 2556652 4017596 5113304 7030793 8035192 14061586 28123172 56246344 68573059 137146118 274292236 480011413 548584472 754303649 960022826 1508607298 1920045652 3017214596 3840091304 5280125543 6034429192 10560251086 21120502172 42241004344