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11110400040 = 2335691113397
BaseRepresentation
bin10100101100011101…
…10100000000101000
31001200022011210121210
422112032310000220
5140223230300130
65034250233120
7542216561565
oct122616640050
931608153553
1011110400040
114791592aa3
1221a0a257a0
131080a6cb0c
1477580b86c
154505ea5b0
hex2963b4028

11110400040 has 64 divisors (see below), whose sum is σ = 33338511360. Its totient is φ = 2962123520.

The previous prime is 11110400023. The next prime is 11110400083. The reversal of 11110400040 is 4000401111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11110399989 and 11110400025.

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 15 ways as a sum of consecutive naturals, for example, 822622 + ... + 836018.

It is an arithmetic number, because the mean of its divisors is an integer number (520914240).

Almost surely, 211110400040 is an apocalyptic number.

11110400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110400040 is an abundant number, since it is smaller than the sum of its proper divisors (22228111320).

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

11110400040 is a wasteful number, since it uses less digits than its factorization.

11110400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20322 (or 20318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11110400040 its reverse (4000401111), we get a palindrome (15110801151).

The spelling of 11110400040 in words is "eleven billion, one hundred ten million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 6911 13397 13822 20733 26794 27644 34555 40191 41466 53588 55288 66985 69110 80382 82932 103665 107176 133970 138220 160764 165864 200955 207330 267940 276440 321528 401910 414660 535880 803820 829320 1607640 92586667 185173334 277760001 370346668 462933335 555520002 740693336 925866670 1111040004 1388800005 1851733340 2222080008 2777600010 3703466680 5555200020 11110400040