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11434433443411 = 11411012715571663
BaseRepresentation
bin1010011001100100100101…
…0101111111011001010011
31111111010021022211012201011
42212121021111333121103
52444320204430142121
640152523423551351
72260052630421226
oct246311125773123
944433238735634
1011434433443411
113709352646a60
1213480a075b557
1364c354799884
142b76028c55bd
1514c68101e7e1
hexa664957f653

11434433443411 has 64 divisors (see below), whose sum is σ = 12983361011712. Its totient is φ = 9979977600000.

The previous prime is 11434433443393. The next prime is 11434433443429.

11434433443411 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (11434433443393) and next prime (11434433443429).

It is a cyclic number.

It is not a de Polignac number, because 11434433443411 - 211 = 11434433441363 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11434433440411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6875785966 + ... + 6875787628.

It is an arithmetic number, because the mean of its divisors is an integer number (202865015808).

Almost surely, 211434433443411 is an apocalyptic number.

11434433443411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11434433443411 is a deficient number, since it is larger than the sum of its proper divisors (1548927568301).

11434433443411 is a wasteful number, since it uses less digits than its factorization.

11434433443411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644.

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 1143443 and 3443411, that added together give a palindrome (4586854).

The spelling of 11434433443411 in words is "eleven trillion, four hundred thirty-four billion, four hundred thirty-three million, four hundred forty-three thousand, four hundred eleven".

Divisors: 1 11 41 101 271 451 557 1111 1663 2981 4141 6127 11111 18293 22837 27371 45551 56257 68183 122221 150947 167963 251207 301081 450673 618827 750013 926291 1122211 1660417 1847593 2306537 4957403 6188827 6886483 10189201 12344321 15245647 18477593 25371907 37977931 45517973 68077097 75751313 93555391 167702117 203253523 251024861 417757241 500697703 625071527 1029109301 1866236893 2761273471 3835771031 6875786797 10292019301 20528605823 25353510961 42193481341 113212212311 278888620571 1039493949401 11434433443411