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11414033041411 = 71113113111008101
BaseRepresentation
bin1010011000011000100101…
…1000101000100000000011
31111102011121120212102011201
42212012021120220200003
52444001414424311121
640135311232322031
72255431244026450
oct246061130504003
944364546772151
1011414033041411
1137007340a7aa0
1213441486a3317
1364a45316c6a0
142b6629372827
1514bd8a060e91
hexa6189628803

11414033041411 has 32 divisors (see below), whose sum is σ = 15326505363456. Its totient is φ = 8209159920000.

The previous prime is 11414033041403. The next prime is 11414033041493.

11414033041411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11414033041411 - 23 = 11414033041403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11414033041411.

It is not an unprimeable number, because it can be changed into a prime (11414033441411) 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, 10818261 + ... + 11826361.

It is an arithmetic number, because the mean of its divisors is an integer number (478953292608).

Almost surely, 211414033041411 is an apocalyptic number.

11414033041411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11414033041411 is a deficient number, since it is larger than the sum of its proper divisors (3912472322045).

11414033041411 is a wasteful number, since it uses less digits than its factorization.

11414033041411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019443.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 1141403 and 3041411, that added together give a palindrome (4182814).

The spelling of 11414033041411 in words is "eleven trillion, four hundred fourteen billion, thirty-three million, forty-one thousand, four hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 11311 79177 124421 147043 870947 1008101 1029301 1617473 7056707 11089111 11322311 13105313 77623777 91737191 144158443 1009109101 11402630411 79818412877 125428934521 148234195343 878002541647 1037639367401 1630576148773 11414033041411