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44744288244744 = 23311237368953927
BaseRepresentation
bin10100010110001110101110…
…11010000001010000001000
312212102111211101021001101110
422023013113122001100020
521331042300242312434
6235055124154250320
712265445113540344
oct1213072732012010
9185374741231343
1044744288244744
1113290a452620a0
1250278ab7269a0
131bc74a31473ba
14b098c6a34624
15528d7ce774e9
hex28b1d7681408

44744288244744 has 64 divisors (see below), whose sum is σ = 127335523875840. Its totient is φ = 12969358909760.

The previous prime is 44744288244661. The next prime is 44744288244751.

It is a happy number.

44744288244744 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×447442882447442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 3684470892 + ... + 3684483035.

It is an arithmetic number, because the mean of its divisors is an integer number (1989617560560).

Almost surely, 244744288244744 is an apocalyptic number.

44744288244744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44744288244744 is an abundant number, since it is smaller than the sum of its proper divisors (82591235631096).

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

44744288244744 is a wasteful number, since it uses less digits than its factorization.

44744288244744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368953970 (or 7368953966 counting only the distinct ones).

The product of its digits is 822083584, while the sum is 66.

The spelling of 44744288244744 in words is "forty-four trillion, seven hundred forty-four billion, two hundred eighty-eight million, two hundred forty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 7368953927 14737907854 22106861781 29475815708 44213723562 58951631416 81058493197 88427447124 162116986394 169485940321 176854894248 243175479591 324233972788 338971880642 486350959182 508457820963 648467945576 677943761284 972701918364 1016915641926 1355887522568 1864345343531 1945403836728 2033831283852 3728690687062 4067662567704 5593036030593 7457381374124 11186072061186 14914762748248 22372144122372 44744288244744