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1114313040 = 243251547657
BaseRepresentation
bin100001001101011…
…0001000101010000
32212122202222010100
41002122301011100
54240231004130
6302323332400
736420335031
oct10232610520
92778688110
101114313040
11522000975
12271221100
13149b22739
14a7dc6a88
1567c61c60
hex426b1150

1114313040 has 60 divisors (see below), whose sum is σ = 3742237044. Its totient is φ = 297149952.

The previous prime is 1114313017. The next prime is 1114313041. The reversal of 1114313040 is 403134111.

It can be written as a sum of positive squares in 2 ways, for example, as 883516176 + 230796864 = 29724^2 + 15192^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×11143130402 = 2483387102228083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114313041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 773109 + ... + 774548.

Almost surely, 21114313040 is an apocalyptic number.

1114313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114313040 is an abundant number, since it is smaller than the sum of its proper divisors (2627924004).

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

1114313040 is a wasteful number, since it uses less digits than its factorization.

1114313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547676 (or 1547667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1114313040 is about 33381.3277147569. The cubic root of 1114313040 is about 1036.7381282380.

Adding to 1114313040 its reverse (403134111), we get a palindrome (1517447151).

The spelling of 1114313040 in words is "one billion, one hundred fourteen million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1547657 3095314 4642971 6190628 7738285 9285942 12381256 13928913 15476570 18571884 23214855 24762512 27857826 30953140 37143768 46429710 55715652 61906280 69644565 74287536 92859420 111431304 123812560 139289130 185718840 222862608 278578260 371437680 557156520 1114313040