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44444224344 = 2331326722441
BaseRepresentation
bin101001011001000101…
…010000101101011000
311020201101122112012010
4221121011100231120
51212010210134334
632230053545520
73132240450042
oct513105205530
9136641575163
1044444224344
1117937673623
1287443452a0
134263a2ab00
142218918a92
151251c590e9
hexa59150b58

44444224344 has 144 divisors (see below), whose sum is σ = 122187570120. Its totient is φ = 13465520640.

The previous prime is 44444224337. The next prime is 44444224379. The reversal of 44444224344 is 44342244444.

It is a super-3 number, since 3×444442243443 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18206164 + ... + 18208604.

Almost surely, 244444224344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44444224344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61093785060).

44444224344 is an abundant number, since it is smaller than the sum of its proper divisors (77743345776).

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

44444224344 is a wasteful number, since it uses less digits than its factorization.

44444224344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2526 counting only the distinct ones).

The product of its digits is 786432, while the sum is 39.

Adding to 44444224344 its reverse (44342244444), we get a palindrome (88786468788).

The spelling of 44444224344 in words is "forty-four billion, four hundred forty-four million, two hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 169 201 268 312 338 402 507 536 676 804 871 1014 1352 1608 1742 2028 2441 2613 3484 4056 4489 4882 5226 6968 7323 8978 9764 10452 11323 13467 14646 17956 19528 20904 22646 26934 29292 31733 33969 35912 45292 53868 58357 58584 63466 67938 90584 95199 107736 116714 126932 135876 163547 175071 190398 233428 253864 271752 327094 350142 380796 412529 466856 490641 654188 700284 758641 761592 825058 981282 1237587 1308376 1400568 1517282 1650116 1962564 2126111 2275923 2475174 3034564 3300232 3925128 4252222 4551846 4950348 6069128 6378333 8504444 9103692 9900696 10957649 12756666 17008888 18207384 21915298 25513332 27639443 32872947 43830596 51026664 55278886 65745894 82918329 87661192 110557772 131491788 142449437 165836658 221115544 262983576 284898874 331673316 427348311 569797748 663346632 854696622 1139595496 1709393244 1851842681 3418786488 3703685362 5555528043 7407370724 11111056086 14814741448 22222112172 44444224344