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444104020122 = 23773401361217
BaseRepresentation
bin1100111011001101010…
…10011001000010011010
31120110022101001201201120
412131212222121002122
524234011112120442
6540004002230110
744041211613030
oct6354652310232
91513271051646
10444104020122
11161386161504
12720a1655336
1332b56a32879
14176cd840550
15b8438514ec
hex6766a9909a

444104020122 has 64 divisors (see below), whose sum is σ = 1031569254144. Its totient is φ = 124836249600.

The previous prime is 444104020121. The next prime is 444104020177. The reversal of 444104020122 is 221020401444.

It is a junction number, because it is equal to n+sod(n) for n = 444104020092 and 444104020101.

It is not an unprimeable number, because it can be changed into a prime (444104020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048858 + ... + 1410074.

It is an arithmetic number, because the mean of its divisors is an integer number (16118269596).

Almost surely, 2444104020122 is an apocalyptic number.

444104020122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 444104020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515784627072).

444104020122 is an abundant number, since it is smaller than the sum of its proper divisors (587465234022).

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

444104020122 is a wasteful number, since it uses less digits than its factorization.

444104020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361703.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444104020122 its reverse (221020401444), we get a palindrome (665124421566).

The spelling of 444104020122 in words is "four hundred forty-four billion, one hundred four million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 401 438 511 802 1022 1203 1533 2406 2807 3066 5614 8421 16842 29273 58546 87819 175638 204911 361217 409822 614733 722434 1083651 1229466 2167302 2528519 5057038 7585557 15171114 26368841 52737682 79106523 144848017 158213046 184581887 289696034 369163774 434544051 553745661 869088102 1013936119 1107491322 2027872238 3041808357 6083616714 10573905241 21147810482 31721715723 63443431446 74017336687 148034673374 222052010061 444104020122