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440340020043044 = 2211210136131249311
BaseRepresentation
bin110010000011111001010011…
…0011110011001110100100100
32010202010002120002212222120212
41210013302212132121310210
5430204012330112334134
64200305225040514552
7161515342122461042
oct14407624636316444
92122102502788525
10440340020043044
11118340176745700
1241478a1991ba58
1315b91b68bc3554
147aa47dbd6d392
1535d93c3b4ebce
hex1907ca6799d24

440340020043044 has 72 divisors (see below), whose sum is σ = 855431103115008. Its totient is φ = 198166546600000.

The previous prime is 440340020043023. The next prime is 440340020043101.

440340020043044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4403400200430442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 440340020043044.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1766103149 + ... + 1766352459.

It is an arithmetic number, because the mean of its divisors is an integer number (11880987543264).

Almost surely, 2440340020043044 is an apocalyptic number.

440340020043044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440340020043044 is a deficient number, since it is larger than the sum of its proper divisors (415091083071964).

440340020043044 is a wasteful number, since it uses less digits than its factorization.

440340020043044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285569 (or 285556 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

The spelling of 440340020043044 in words is "four hundred forty trillion, three hundred forty billion, twenty million, forty-three thousand, forty-four".

Divisors: 1 2 4 11 22 44 101 121 202 242 404 484 1111 2222 4444 12221 24442 36131 48884 72262 144524 249311 397441 498622 794882 997244 1589764 2742421 3649231 4371851 5484842 7298462 8743702 10969684 14596924 17487404 25180411 30166631 40141541 50360822 60333262 80283082 100721644 120666524 160566164 276984521 441556951 553969042 883113902 1107938084 1766227804 3046829731 6093659462 9007855741 12187318924 18015711482 36031422964 99086413151 198172826302 396345652604 909793429841 1089950544661 1819586859682 2179901089322 3639173719364 4359802178644 10007727728251 20015455456502 40030910913004 110085005010761 220170010021522 440340020043044