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11442022024411 = 1121743631274921
BaseRepresentation
bin1010011010000000110110…
…1010001000010011011011
31111111211212012002001211201
42212200031222020103123
52444431230114240121
640200220425335031
72260441654330126
oct246401552102333
944454765061751
1011442022024411
11371159715a200
12134965a037477
1364cc93a009a4
142b7b226953bd
1514c97734ce91
hexa680da884db

11442022024411 has 24 divisors (see below), whose sum is σ = 13319640501552. Its totient is φ = 9787713830400.

The previous prime is 11442022024379. The next prime is 11442022024417.

11442022024411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11442022024411 - 25 = 11442022024379 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11442022024411.

It is not an unprimeable number, because it can be changed into a prime (11442022024417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8337231 + ... + 9612151.

It is an arithmetic number, because the mean of its divisors is an integer number (554985020898).

Almost surely, 211442022024411 is an apocalyptic number.

11442022024411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11442022024411 is a deficient number, since it is larger than the sum of its proper divisors (1877618477141).

11442022024411 is a wasteful number, since it uses less digits than its factorization.

11442022024411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279323 (or 1279312 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 1144202 and 2024411, that added together give a palindrome (3168613).

The spelling of 11442022024411 in words is "eleven trillion, four hundred forty-two billion, twenty-two million, twenty-four thousand, four hundred eleven".

Divisors: 1 11 17 121 187 2057 4363 47993 74171 527923 815881 1274921 8974691 14024131 21673657 154265441 238410227 2622512497 5562480323 61187283553 94562165491 673060119083 1040183820401 11442022024411