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42244332444 = 223217369718671
BaseRepresentation
bin100111010101111101…
…010101101110011100
311001001002011102211100
4213111331111232130
51143004022114234
631223510353100
73023565621036
oct472575255634
9131032142740
1042244332444
1116a08908246
12822b65b790
133ca3036722
14208a6a8c56
151173a5e399
hex9d5f55b9c

42244332444 has 72 divisors (see below), whose sum is σ = 113102353728. Its totient is φ = 13248829440.

The previous prime is 42244332439. The next prime is 42244332457. The reversal of 42244332444 is 44423344224.

42244332444 is a `hidden beast` number, since 42 + 244 + 332 + 4 + 44 = 666.

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 = 42244332399 and 42244332408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2253229 + ... + 2271899.

It is an arithmetic number, because the mean of its divisors is an integer number (1570866024).

Almost surely, 242244332444 is an apocalyptic number.

It is an amenable number.

42244332444 is an abundant number, since it is smaller than the sum of its proper divisors (70858021284).

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

42244332444 is a wasteful number, since it uses less digits than its factorization.

42244332444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22395 (or 22390 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

Adding to 42244332444 its reverse (44423344224), we get a palindrome (86667676668).

The spelling of 42244332444 in words is "forty-two billion, two hundred forty-four million, three hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3697 7394 11091 14788 18671 22182 33273 37342 44364 56013 62849 66546 74684 112026 125698 133092 168039 188547 224052 251396 317407 336078 377094 565641 634814 672156 754188 952221 1131282 1269628 1904442 2262564 2856663 3808884 5713326 11426652 69026687 138053374 207080061 276106748 414160122 621240183 828320244 1173453679 1242480366 2346907358 2484960732 3520361037 4693814716 7040722074 10561083111 14081444148 21122166222 42244332444