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11140104040 = 2351388124317
BaseRepresentation
bin10100110000000000…
…00111111101101000
31001202101001220211221
422120000013331220
5140303331312130
65041231031424
7543030215302
oct123000077550
931671056757
1011140104040
1147a733105a
1221aa96b574
131086c70150
14779740972
1545301687a
hex298007f68

11140104040 has 64 divisors (see below), whose sum is σ = 27025079760. Its totient is φ = 4108431360.

The previous prime is 11140104037. The next prime is 11140104047. The reversal of 11140104040 is 4040104111.

It can be written as a sum of positive squares in 8 ways, for example, as 1985058916 + 9155045124 = 44554^2 + 95682^2 .

It is not an unprimeable number, because it can be changed into a prime (11140104047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445962 + ... + 470278.

Almost surely, 211140104040 is an apocalyptic number.

11140104040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512539880).

11140104040 is an abundant number, since it is smaller than the sum of its proper divisors (15884975720).

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

11140104040 is a wasteful number, since it uses less digits than its factorization.

11140104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25222 (or 25218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11140104040 its reverse (4040104111), we get a palindrome (15180208151).

The spelling of 11140104040 in words is "eleven billion, one hundred forty million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 881 1762 3524 4405 7048 8810 11453 17620 22906 24317 35240 45812 48634 57265 91624 97268 114530 121585 194536 229060 243170 316121 458120 486340 632242 972680 1264484 1580605 2528968 3161210 6322420 12644840 21423277 42846554 85693108 107116385 171386216 214232770 278502601 428465540 557005202 856931080 1114010404 1392513005 2228020808 2785026010 5570052020 11140104040