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11141111240 = 235747846589
BaseRepresentation
bin10100110000000111…
…11101110111001000
31001202102222002110122
422120003331313020
5140304111024430
65041304402412
7543041611610
oct123003756710
931672862418
1011141111240
1147a7959856
1221ab176408
13108723371c
14779923a40
15453164ee5
hex2980fddc8

11141111240 has 64 divisors (see below), whose sum is σ = 29258150400. Its totient is φ = 3738532608.

The previous prime is 11141111231. The next prime is 11141111257. The reversal of 11141111240 is 4211114111.

11141111240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410135 + ... + 436454.

It is an arithmetic number, because the mean of its divisors is an integer number (457158600).

Almost surely, 211141111240 is an apocalyptic number.

11141111240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141111240 is an abundant number, since it is smaller than the sum of its proper divisors (18117039160).

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

11141111240 is a wasteful number, since it uses less digits than its factorization.

11141111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846654 (or 846650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11141111240 its reverse (4211114111), we get a palindrome (15352225351).

The spelling of 11141111240 in words is "eleven billion, one hundred forty-one million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 846589 1693178 3386356 4232945 5926123 6772712 8465890 11852246 16931780 23704492 29630615 33863560 39789683 47408984 59261230 79579366 118522460 159158732 198948415 237044920 278527781 318317464 397896830 557055562 795793660 1114111124 1392638905 1591587320 2228222248 2785277810 5570555620 11141111240