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11140440255 = 3257174150741
BaseRepresentation
bin10100110000000010…
…11010000010111111
31001202101201000001100
422120001122002333
5140303423042010
65041242144143
7543033115440
oct123001320277
931671630040
1011140440255
1147a754071a
1221aaab2053
13108705a1a9
147797cb2c7
154530812c0
hex29805a0bf

11140440255 has 96 divisors (see below), whose sum is σ = 23937234048. Its totient is φ = 4676198400.

The previous prime is 11140440229. The next prime is 11140440257. The reversal of 11140440255 is 55204404111.

11140440255 is a `hidden beast` number, since 1 + 1 + 1 + 404 + 4 + 0 + 255 = 666.

It is not a de Polignac number, because 11140440255 - 26 = 11140440191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140440257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194185 + ... + 244925.

It is an arithmetic number, because the mean of its divisors is an integer number (249346188).

Almost surely, 211140440255 is an apocalyptic number.

11140440255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11140440255 is an abundant number, since it is smaller than the sum of its proper divisors (12796793793).

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

11140440255 is a wasteful number, since it uses less digits than its factorization.

11140440255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50817 (or 50814 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 11140440255 its reverse (55204404111), we get a palindrome (66344844366).

The spelling of 11140440255 in words is "eleven billion, one hundred forty million, four hundred forty thousand, two hundred fifty-five".

Divisors: 1 3 5 7 9 15 17 21 35 41 45 51 63 85 105 119 123 153 205 255 287 315 357 369 595 615 697 765 861 1071 1435 1785 1845 2091 2583 3485 4305 4879 5355 6273 10455 12915 14637 24395 31365 43911 50741 73185 152223 219555 253705 355187 456669 761115 862597 1065561 1775935 2080381 2283345 2587791 3196683 4312985 5327805 6038179 6241143 7763373 10401905 12938955 14562667 15983415 18114537 18723429 30190895 31205715 35366477 38816865 43688001 54343611 72813335 90572685 93617145 106099431 131064003 176832385 218440005 247565339 271718055 318298293 530497155 655320015 742696017 1237826695 1591491465 2228088051 3713480085 11140440255