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11144252340 = 22325134762501
BaseRepresentation
bin10100110000011111…
…11100101110110100
31001202122212200020200
422120033330232310
5140310412033330
65041500000500
7543110403414
oct123017745664
931678780220
1011144252340
1147a9704801
1221b0230130
131087a93370
1477a100644
15453585a60
hex2983fcbb4

11144252340 has 72 divisors (see below), whose sum is σ = 36404565288. Its totient is φ = 2743200000.

The previous prime is 11144252311. The next prime is 11144252387. The reversal of 11144252340 is 4325244111.

11144252340 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 425 + 234 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 227346084 + 10916906256 = 15078^2 + 104484^2 .

It is a congruent number.

It is an unprimeable number.

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, 2378911 + ... + 2383590.

Almost surely, 211144252340 is an apocalyptic number.

11144252340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144252340 is an abundant number, since it is smaller than the sum of its proper divisors (25260312948).

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

11144252340 is a wasteful number, since it uses less digits than its factorization.

11144252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762529 (or 4762524 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11144252340 its reverse (4325244111), we get a palindrome (15469496451).

It can be divided in two parts, 1114425 and 2340, that added together give a triangular number (1116765 = T1494).

The spelling of 11144252340 in words is "eleven billion, one hundred forty-four million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4762501 9525002 14287503 19050004 23812505 28575006 42862509 47625010 57150012 61912513 71437515 85725018 95250020 123825026 142875030 171450036 185737539 214312545 247650052 285750060 309562565 371475078 428625090 557212617 619125130 742950156 857250180 928687695 1114425234 1238250260 1857375390 2228850468 2786063085 3714750780 5572126170 11144252340