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41442322324414 = 2111710110871009303
BaseRepresentation
bin10010110110001000010101…
…11001101001101110111110
312102201211212200211122111011
421123010022321221232332
520412442334003340124
6224050201241145434
711505052244365504
oct1133041271515676
9172654780748434
1041442322324414
111222865460a080
124793971a8b27a
131a17cc041443b
14a33b67892674
154bd023694994
hex25b10ae69bbe

41442322324414 has 64 divisors (see below), whose sum is σ = 72581521416192. Its totient is φ = 17537631552000.

The previous prime is 41442322324253. The next prime is 41442322324427.

41442322324414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40555687 + ... + 41564989.

It is an arithmetic number, because the mean of its divisors is an integer number (1134086272128).

Almost surely, 241442322324414 is an apocalyptic number.

41442322324414 is a deficient number, since it is larger than the sum of its proper divisors (31139199091778).

41442322324414 is a wasteful number, since it uses less digits than its factorization.

41442322324414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010521.

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 4144232 and 2324414, that added together give a palindrome (6468646).

The spelling of 41442322324414 in words is "forty-one trillion, four hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 11 17 22 34 101 187 202 374 1087 1111 1717 2174 2222 3434 11957 18479 18887 23914 36958 37774 109787 203269 219574 406538 1009303 1207657 1866379 2018606 2415314 3732758 11102333 17158151 20530169 22204666 34316302 41060338 101939603 188739661 203879206 377479322 1097112361 1121335633 1732973251 2194224722 2242671266 3465946502 12068235971 18650910137 19062705761 24136471942 37301820274 38125411522 110808348461 205160011507 221616696922 410320023014 1218891833071 1883741923837 2437783666142 3767483847674 20721161162207 41442322324414