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124442044244 = 22721929371877
BaseRepresentation
bin111001111100101010…
…0101110011101010100
3102220012120122211122122
41303321110232131110
54014324130403434
6133100132515112
711663534631500
oct1637124563524
9386176584578
10124442044244
1148859320771
122014b47ba98
13b97257b50b
146047287300
153384e46c2e
hex1cf952e754

124442044244 has 108 divisors (see below), whose sum is σ = 267791197716. Its totient is φ = 50444529408.

The previous prime is 124442044219. The next prime is 124442044289. The reversal of 124442044244 is 442440244421.

It can be written as a sum of positive squares in 2 ways, for example, as 36476416144 + 87965628100 = 190988^2 + 296590^2 .

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, 66297434 + ... + 66299310.

It is an arithmetic number, because the mean of its divisors is an integer number (2479548127).

Almost surely, 2124442044244 is an apocalyptic number.

124442044244 is a gapful number since it is divisible by the number (14) 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 124442044244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133895598858).

124442044244 is an abundant number, since it is smaller than the sum of its proper divisors (143349153472).

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

124442044244 is a wasteful number, since it uses less digits than its factorization.

124442044244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 35.

Adding to 124442044244 its reverse (442440244421), we get a palindrome (566882288665).

The spelling of 124442044244 in words is "one hundred twenty-four billion, four hundred forty-two million, forty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 937 1444 1862 1874 1877 2527 3724 3748 3754 5054 6559 7508 10108 13118 13139 17689 17803 26236 26278 35378 35606 35663 45913 52556 70756 71212 71326 91826 91973 124621 142652 183652 183946 249242 249641 338257 367892 498484 499282 676514 677597 872347 998564 1353028 1355194 1744694 1747487 1758749 2367799 2710388 3489388 3494974 3517498 4735598 4743179 6989948 7034996 9471196 9486358 12311243 16574593 18972716 24622486 33149186 33202253 33416231 49244972 66298372 66404506 66832462 86178701 132809012 133664924 172357402 233913617 344714804 467827234 634908389 935654468 1269816778 1637395319 2539633556 3274790638 4444358723 6549581276 8888717446 17777434892 31110511061 62221022122 124442044244