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11114559040 = 265134316199
BaseRepresentation
bin10100101100111101…
…01011011001000000
31001200121000002200211
422112132223121000
5140230311342130
65034515323504
7542300123134
oct122636533100
931617002624
1011114559040
114793973792
1221a22b0594
131081897b70
147761b13c4
15450b6ca2a
hex2967ab640

11114559040 has 112 divisors (see below), whose sum is σ = 28573171200. Its totient is φ = 4093655040.

The previous prime is 11114559037. The next prime is 11114559041. The reversal of 11114559040 is 4095541111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11114558993 and 11114559011.

It is not an unprimeable number, because it can be changed into a prime (11114559041) 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, 1789861 + ... + 1796059.

It is an arithmetic number, because the mean of its divisors is an integer number (255117600).

Almost surely, 211114559040 is an apocalyptic number.

11114559040 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 11114559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14286585600).

11114559040 is an abundant number, since it is smaller than the sum of its proper divisors (17458612160).

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

11114559040 is a wasteful number, since it uses less digits than its factorization.

11114559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6660 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 11114559040 in words is "eleven billion, one hundred fourteen million, five hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 431 520 832 862 1040 1724 2080 2155 3448 4160 4310 5603 6199 6896 8620 11206 12398 13792 17240 22412 24796 27584 28015 30995 34480 44824 49592 56030 61990 68960 80587 89648 99184 112060 123980 137920 161174 179296 198368 224120 247960 322348 358592 396736 402935 448240 495920 644696 805870 896480 991840 1289392 1611740 1792960 1983680 2578784 2671769 3223480 5157568 5343538 6446960 10687076 12893920 13358845 21374152 25787840 26717690 34732997 42748304 53435380 69465994 85496608 106870760 138931988 170993216 173664985 213741520 277863976 347329970 427483040 555727952 694659940 854966080 1111455904 1389319880 2222911808 2778639760 5557279520 11114559040