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11014331040 = 253257648841
BaseRepresentation
bin10100100001000000…
…10101101010100000
31001102121101222201200
422100200111222200
5140024132043130
65020535201200
7536642161206
oct122040255240
931377358650
1011014331040
114742336a29
122174816200
131066ba465b
14766b61076
15446e70760
hex290815aa0

11014331040 has 72 divisors (see below), whose sum is σ = 37586409588. Its totient is φ = 2937154560.

The previous prime is 11014331039. The next prime is 11014331071. The reversal of 11014331040 is 4013341011.

It can be written as a sum of positive squares in 2 ways, for example, as 9464176656 + 1550154384 = 97284^2 + 39372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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, 3822981 + ... + 3825860.

Almost surely, 211014331040 is an apocalyptic number.

11014331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11014331040 is an abundant number, since it is smaller than the sum of its proper divisors (26572078548).

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

11014331040 is a wasteful number, since it uses less digits than its factorization.

11014331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648862 (or 7648851 counting only the distinct ones).

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

Adding to 11014331040 its reverse (4013341011), we get a palindrome (15027672051).

The spelling of 11014331040 in words is "eleven billion, fourteen million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7648841 15297682 22946523 30595364 38244205 45893046 61190728 68839569 76488410 91786092 114732615 122381456 137679138 152976820 183572184 229465230 244762912 275358276 305953640 344197845 367144368 458930460 550716552 611907280 688395690 734288736 917860920 1101433104 1223814560 1376791380 1835721840 2202866208 2753582760 3671443680 5507165520 11014331040