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11313434440 = 2357113673193
BaseRepresentation
bin10101000100101010…
…10100111101001000
31002012110020000110101
422202111110331020
5141132214400230
65110342055144
7550233414610
oct124225247510
932173200411
1011313434440
114886158820
122238a1a4b4
1310b3b4a309
1479477da40
15463353aca
hex2a2554f48

11313434440 has 64 divisors (see below), whose sum is σ = 31736396160. Its totient is φ = 3526264320.

The previous prime is 11313434417. The next prime is 11313434459. The reversal of 11313434440 is 4443431311.

It is a happy number.

It is a super-2 number, since 2×113134344402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11313434399 and 11313434408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833517 + ... + 1839676.

It is an arithmetic number, because the mean of its divisors is an integer number (495881190).

Almost surely, 211313434440 is an apocalyptic number.

11313434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313434440 is an abundant number, since it is smaller than the sum of its proper divisors (20422961720).

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

11313434440 is a wasteful number, since it uses less digits than its factorization.

11313434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673222 (or 3673218 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11313434440 its reverse (4443431311), we get a palindrome (15756865751).

The spelling of 11313434440 in words is "eleven billion, three hundred thirteen million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3673193 7346386 14692772 18365965 25712351 29385544 36731930 40405123 51424702 73463860 80810246 102849404 128561755 146927720 161620492 202025615 205698808 257123510 282835861 323240984 404051230 514247020 565671722 808102460 1028494040 1131343444 1414179305 1616204920 2262686888 2828358610 5656717220 11313434440