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440043340044 = 2237113137151813
BaseRepresentation
bin1100110011101001010…
…00001000000100001100
31120001211101011210212010
412121310220020010030
524202202043340134
6534053023541220
743535453450430
oct6316450100414
91501741153763
10440043340044
1115a691aa2460
127134975a810
133265a6867a9
14174264129c0
15b6a70e1ce9
hex6674a0810c

440043340044 has 96 divisors (see below), whose sum is σ = 1280542588416. Its totient is φ = 114259783680.

The previous prime is 440043339973. The next prime is 440043340049.

440043340044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4400433400442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440043339993 and 440043340020.

It is not an unprimeable number, because it can be changed into a prime (440043340049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2822682 + ... + 2974494.

It is an arithmetic number, because the mean of its divisors is an integer number (13338985296).

Almost surely, 2440043340044 is an apocalyptic number.

440043340044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440043340044 is an abundant number, since it is smaller than the sum of its proper divisors (840499248372).

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

440043340044 is a wasteful number, since it uses less digits than its factorization.

440043340044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154975 (or 154973 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 440043 and 340044, that added together give a palindrome (780087).

The spelling of 440043340044 in words is "four hundred forty billion, forty-three million, three hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 3137 6274 9411 12548 18822 21959 34507 37644 43918 65877 69014 87836 103521 131754 138028 151813 207042 241549 263508 303626 414084 455439 483098 607252 724647 910878 966196 1062691 1449294 1669943 1821756 2125382 2898588 3188073 3339886 4250764 5009829 6376146 6679772 10019658 11689601 12752292 20039316 23379202 35068803 46758404 70137606 140275212 476237381 952474762 1428712143 1904949524 2857424286 3333661667 5238611191 5714848572 6667323334 10000985001 10477222382 13334646668 15715833573 20001970002 20954444764 31431667146 36670278337 40003940004 62863334292 73340556674 110010835011 146681113348 220021670022 440043340044