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44322222222344 = 23114318116467731
BaseRepresentation
bin10100001001111100100100…
…10011111010110000001000
312210221011101212120121012202
422010332102103322300020
521302133402342103334
6234133203042455332
712223113661541453
oct1204762223726010
9183834355517182
1044322222222344
1113138a48a6a550
124b79b3a664548
131b9674c0abb91
14ad32c802649a
1551cdc925d17e
hex284f924fac08

44322222222344 has 64 divisors (see below), whose sum is σ = 92818680641280. Its totient is φ = 19667073384000.

The previous prime is 44322222222319. The next prime is 44322222222353.

44322222222344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44322222222298 and 44322222222307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3618959 + ... + 10086689.

It is an arithmetic number, because the mean of its divisors is an integer number (1450291885020).

Almost surely, 244322222222344 is an apocalyptic number.

44322222222344 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 44322222222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46409340320640).

44322222222344 is an abundant number, since it is smaller than the sum of its proper divisors (48496458418936).

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

44322222222344 is a wasteful number, since it uses less digits than its factorization.

44322222222344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469602 (or 6469598 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 4432222 and 2222344, that added together give a palindrome (6654566).

The spelling of 44322222222344 in words is "forty-four trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1811 1892 3622 3784 7244 14488 19921 39842 77873 79684 155746 159368 311492 622984 856603 1713206 3426412 6467731 6852824 12935462 25870924 51741848 71145041 142290082 278112433 284580164 556224866 569160328 1112449732 2224899464 3059236763 6118473526 11713060841 12236947052 23426121682 24473894104 46852243364 93704486728 128843669251 257687338502 503661616163 515374677004 1007323232326 1030749354008 2014646464652 4029292929304 5540277777793 11080555555586 22161111111172 44322222222344