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11045115144 = 23327181112101
BaseRepresentation
bin10100100100101011…
…10001010100001000
31001111202022222120200
422102111301110020
5140110022141034
65023555052200
7540464633610
oct122225612410
931452288520
1011045115144
114758752538
122182ba1060
1310703924bb
1476ac95a40
15449a01a99
hex292571508

11045115144 has 96 divisors (see below), whose sum is σ = 34208965440. Its totient is φ = 3153744000.

The previous prime is 11045115083. The next prime is 11045115157. The reversal of 11045115144 is 44151154011.

It is a happy number.

11045115144 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 511 + 5 + 144 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906694 + ... + 918794.

It is an arithmetic number, because the mean of its divisors is an integer number (356343390).

Almost surely, 211045115144 is an apocalyptic number.

11045115144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11045115144 is an abundant number, since it is smaller than the sum of its proper divisors (23163850296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11045115144 is a wasteful number, since it uses less digits than its factorization.

11045115144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13931 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 11045115144 its reverse (44151154011), we get a palindrome (55196269155).

The spelling of 11045115144 in words is "eleven billion, forty-five million, one hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1811 3622 5433 7244 10866 12101 12677 14488 16299 21732 24202 25354 32598 36303 38031 43464 48404 50708 65196 72606 76062 84707 96808 101416 108909 114093 130392 145212 152124 169414 217818 228186 254121 290424 304248 338828 435636 456372 508242 677656 762363 871272 912744 1016484 1524726 2032968 3049452 6098904 21914911 43829822 65744733 87659644 131489466 153404377 175319288 197234199 262978932 306808754 394468398 460213131 525957864 613617508 788936796 920426262 1227235016 1380639393 1577873592 1840852524 2761278786 3681705048 5522557572 11045115144